Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?
Answers
The graph that correctly represents the function f(x) = [√(x + 3)] - 2 is; Graph D
How to interpret the graph of the function?
We are given the function;
f(x) = [√(x + 3)] - 2
Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:
x + 2 = 0
x = -2
Then the function starts at:
f(-2) = [√(-2 + 3)] - 2
f(-2) = 3
Then the graph should start at (-3, 2).
We can also identify another point by evaluating in x = 2.
f(2) = [√(2 + 3)] - 2
f(2) = -1
So the function also passes through (2, - 1).
Notice that the only graph that contains these two points is the last graph with x-intercept at 7.
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Related Questions
Exercise 4.3.3. Supply proof for Theorem 4.3.9 using the 0 charac- terization of continuity Give another proof of this theorem using the sequential characterization of continuity (from Theorem 4.3.2 (iii) ) .'
Answers
Theorem 4.3.9 can be proved using either the 0 characterisation of continuity or the sequential characterisation of continuity. Both characterisations are important and useful in different situations.
Theorem 4.3.9: Suppose f: X → Y. TFAE:(i) f is continuous on X(ii) For every open subset V of Y, the inverse image f^-1 (V) is open in X(iii) For every convergent sequence x_n→x, we have f(x_n)→f(x).
A proof for Theorem 4.3.9 using the 0 characterisation of continuity is given below:
Suppose f: X → Y is continuous on X. Let V be open in Y. Let a∈f^-1 (V). Then f(a)∈V, so there exists an ɛ > 0 such that B(f(a), ɛ) ⊆ V.
Since f is continuous at a, there exists a δ > 0 such that x ∈ X and d(x, a) < δ implies d(f(x), f(a)) < ɛ. That is, f(B(a, δ)) ⊆ B(f(a), ɛ) ⊆ V.
This implies B(a, δ) ⊆ f^-1 (V). Thus f^-1 (V) is open in X.For the other direction, suppose for every open subset V of Y, the inverse image f^-1 (V) is open in X. Let a ∈ X. Let ɛ > 0. Set V = B(f(a), ɛ). Then V is open in Y, so f^-1 (V) is open in X.
Since a ∈ f^-1 (V), there exists a δ > 0 such that B(a, δ) ⊆ f^-1 (V). Then f(B(a, δ)) ⊆ V. That is, d(f(x), f(a)) < ɛ whenever d(x, a) < δ. Thus f is continuous at a.This gives us a proof of Theorem 4.3.9 using the 0 characterisation of continuity.
A proof for Theorem 4.3.9 using the sequential characterisation of continuity is given below:Suppose f: X → Y. Suppose (x_n) is a sequence in X converging to x. Then (x_n) is a net in X. By Theorem 4.3.2(iii), if f is continuous at x, then f(x_n) converges to f(x).Now suppose that for every convergent sequence (x_n) in X that converges to x, we have f(x_n) converges to f(x).
Let V be open in Y. Let a∈f^-1 (V). Suppose that f is not continuous at a. Then there exists an ɛ > 0 such that for every δ > 0, there exists an x ∈ B(a, δ) such that d(f(x), f(a)) ≥ ɛ. Let δ_n = 1/n. Then for each n, there exists x_n ∈ B(a, δ_n) such that d(f(x_n), f(a)) ≥ ɛ. Then (x_n) converges to a, but (f(x_n)) does not converge to f(a). This contradicts our assumption.
Thus f is continuous at a.Hence we have a proof for Theorem 4.3.9 using the sequential characterisation of continuity.
We first showed the proof of Theorem 4.3.9 using the 0 characterisation of continuity.
We then showed the proof of Theorem 4.3.9 using the sequential characterisation of continuity.We used the 0 characterisation of continuity to show that f is continuous on X if and only if for every open subset V of Y, the inverse image f^-1 (V) is open in X. This result follows from the definitions of continuity and openness.
We used this characterisation to prove Theorem 4.3.9. We showed that f is continuous on X if and only if for every convergent sequence x_n→x, we have f(x_n)→f(x).
This characterisation is important because it allows us to prove continuity of a function using the open sets of the codomain. We do not need to use sequences or nets to prove continuity.
This is useful in some cases where we cannot use sequences or nets, for example, in metric spaces that are not first-countable.We then used the sequential characterisation of continuity to show that f is continuous on X if and only if for every convergent sequence x_n→x, we have f(x_n)→f(x).
This characterisation follows from the definition of continuity and the sequential characterisation of convergence. We used this characterisation to prove Theorem 4.3.9. We showed that f is continuous on X if and only if for every open subset V of Y, the inverse image f^-1 (V) is open in X.
This characterisation is important because it allows us to prove continuity of a function using sequences.
This is useful in many cases, for example, in metric spaces that are first-countable. It also allows us to prove that some spaces are not first-countable by finding a function that is not continuous using sequences.
Therefore, Theorem 4.3.9 can be proved using either the 0 characterisation of continuity or the sequential characterisation of continuity. Both characterisations are important and useful in different situations.
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What is the slope of the line passing through the points (1, -5) and (4, 1)?
Answers
Answer: 2
Step-by-step explanation: i used my brain
i need some help, can anyone help me out ?
evaluate f(x)=9x+3 when x=5
Answers
Answer:
Step-by-step explanation:
when x=means that you have to put your x into your f(x).
So f(5)=9(5)+3
= 45+3
=48
So f(5)=48
Given:-
\( \sf \: x = 5\)
\( \: \)
Solution:-
\( \sf \: f ( x ) = 9x + 3\)\( \: \)
now put the value of x = 5 in equation :
\( \sf \: f ( 5 ) = 9( 5 ) + 3\)\( \: \)
\( \sf \: f ( 5 ) = 45 + 3\)\( \: \)
\( \fbox{\sf \purple{ f ( 5 ) = 48}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps:)
Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
Answers
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
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Elspeth knows that Pi times r almost-equals 9. 42 centimeters. What would she need to do to find the circumference? She could multiply 9. 42 by 2. She could multiply 9. 42 by Pi. She could divide 9. 42 by 2 to find the radius, and then square the radius. She could divide 9. 42 by Pi to find the radius, and then multiply 9. 42 by the radius.
Answers
To find the circumference of a circle, Elspeth needs to use the formula C=2πr, where C is the circumference, π is approximately 3.14, and r is the radius.
Elspeth knows that πr=9.42 centimeters, so she can divide 9.42 by π to find the radius. This gives her a radius of approximately 3 centimeters (rounded to the nearest hundredth). Then, she can plug this value into the formula for circumference and get C=2π(3)=6π, or approximately 18.85 centimeters (rounded to the nearest hundredth).
Therefore, Elspeth would need to divide 9.42 by π to find the radius, and then multiply the radius by 2π to find the circumference.
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example of two nonlinear functions that dont dominate each other
Answers
An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).
For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.
On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.
The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.
Due to their fundamentally different natures, neither function dominates the other over their entire domains.
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the following table gives the round-trip commute time for a selection of employees at a large company complete the stem and leaf plot below use the tens place as the stem and use the one place as delete describe the shape of distribution
Answers
From the given table, let's complete the stem and leaf plot.
Part (a):
From the given table, we have 27 data.
It consists of just the data for the round-trip commute time for the employees.
Therefore, data were collected for 1 quantitative variable.
Part (b):
The data constitute a sample
Part (c):
To compute the stem and leaf plot, we have:
Stems------------->Leaves
5--------------------> 0, 0, 3, 3, 3, 4, 7, 7, 9
6----------------------> 0, 1, 3, 4, 5, 7, 8, 8
7------------------------> 0, 3, 4, 4, 5
8------------------------>0, 1, 9
9-------------------------> 0, 4
Part d:
The shape of the data can be said to be right skewed .
Fill in the system of linear inequalities with >,< so that that graph represents the system
Answers
Answers:
\(y \boldsymbol{\ge} 3x-2\)
\(y \boldsymbol{>} -x+5\)
=============================================
Explanation:
The shaded region is above both boundary lines. So we'll have the > symbol involved. For the boundary line y = -x+5, we have a dashed line. So we have y > -x+5 here. We don't include points on the dashed boundary.
In contrast, points on the boundary for y = 3x-2 are included. So that's why we have \(y \ge 3x-2\)
Write the sum using sigma notation: – 3 – 12 – 48 + ... – 3072 - Σ i=1
Find Σ (-³(²-)) 3 2 i=3 First write out the summation: Find the answer:
Answers
The sum using sigma notation for the given series is Σ(-3 * (-12)^(i-1)), where i starts from 1 and goes to infinity.
What is the mathematical representation of the given series?The main answer can be expressed using sigma notation as \(\sum(-3 * (-12)^{(i-1)})\), where i starts from 1 and goes to infinity.
This notation represents the sum of a geometric series with a common ratio of -12. The first term (-3) is multiplied by (-12) raised to the power of (i-1).
As i increases from 1 to infinity, each term in the series becomes larger and negative.
The sum of an infinite geometric series can be calculated using the formula \(S = \frac{a }{ (1 - r)},\) where S is the sum, a is the first term, and r is the common ratio.
This results in a divergent series that approaches negative infinity as the number of terms increases.
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Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1. 50μm2. Convert this to square meters.
Answers
Converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
What is conversion of units?Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.
From the information given, we are to convert micrometers to square meters
Note that:
1 micrometer ( μm²) = 10^-12m²
Given 1. 50μm² = xm²
cross multiply
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 5 × 10 ^-11 square meters
Thus, converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
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Find the area under the graph of f over the interval [3,6]. f(x)={2x+9,44−25x, for x≤5 for x>5
Answers
The given function is:
f(x)={2x+9,44−25x, for x≤5 for x>5
We need to find the area under the graph of f over the interval [3,6].
Here, we have two different functions for two different intervals:
\(For x ≤ 5, f(x) = 2x + 9For x > 5, f(x) = 44 - 25xFor x ∈ [3, 5],\)
we have\(f(x) = 2x + 9For x ∈ [5, 6], we have f(x) = 44 - 25x\)
we have to find the areas separately for x ∈ [3, 5] and x ∈ [5, 6].For x ∈ [3, 5]:
We need to integrate the function\(f(x) = 2x + 9\)within the interval [3, 5].
We have: \(A = ∫f(x) dx = ∫(2x + 9) dx\)[over the interval \(x ∈ [3, 5]]= [x² + 9x] from x = 3 to x = 5\),
\([(5)² + 9(5)] - [(3)² + 9(3)]= 40\)
area under the graph of f(x) over the interval \(x ∈ [3, 5] is 40.For x ∈ [5, 6]:\)
We need to integrate the function\(f(x) = 44 - 25x\) within the interval [5, 6].
We have:\(A = ∫f(x) dx = ∫(44 - 25x) dx\)[over the interval \(x ∈ [5, 6]]= [44x - (25/2)x²] from x = 5 to x = 6\),
\([44(6) - (25/2)(6)²] - [44(5) - (25/2)(5)²]= 8.5\)
Therefore, area under the graph of f(x) over the interval x ∈ [5, 6] is 8.5.
Therefore, the area under the graph of f over the interval [3, 6] is:
\(A = Area for x ∈ [3, 5] + Area for x ∈ [5, 6]= 40 + 8.5= 48.5\)
the area under the graph of f over the interval [3, 6] is 48.5 square units.
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What is the value of x + y + 5 if x = 6 and y = 15?
Answers
Answer:
26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x + y + 5
x = 6
y = 15
Step 2: Evaluate
Substitute: 6 + 15 + 5Add: 21 + 5Add: 26Did I get this right ?
Answers
Answer:
square root of 15 is the answer
Step-by-step explanation:
what coordinate for f would make triangle abc and triangle def congruent?
Answers
Answer:
(-2,3)
Step-by-step explanation:
1. In Mathevon et al. (2010) study of hyena laughter, or "giggling", they asked whether sound spectral properties of hyena's giggles are associated with age. The data show the giggle frequency (in hertz) and the age (in years) of 16 hyena. Age (years) 2 2 2 6 9 10 13 10 14 14 12 7 11 11 14 20 Fundamental frequency (Hz) 840 670 580 470 540 660 510 520 500 480 400 650 460 500 580 500 (a) What is the correlation coefficient r in the data? (Follow the following steps for your calculations) (i) Calculate the sum of squares of age. (i) Calculate the sum of squares for fundamental frequency. (iii) Calculate the sum of products between age and frequency. (iv) Compute the correlation coefficient, r.
Answers
Answer: Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.
Step-by-step explanation:
To calculate the correlation coefficient, r, we need to follow these steps:
Step 1: Calculate the sum of squares of age.
Step 2: Calculate the sum of squares for fundamental frequency.
Step 3: Calculate the sum of products between age and frequency.
Step 4: Compute the correlation coefficient, r.
Here are the calculations:
Step 1: Calculate the sum of squares of age.
2^2 + 2^2 + 2^2 + 6^2 + 9^2 + 10^2 + 13^2 + 10^2 + 14^2 + 14^2 + 12^2 + 7^2 + 11^2 + 11^2 + 14^2 + 20^2 = 1066
Step 2: Calculate the sum of squares for fundamental frequency.
840^2 + 670^2 + 580^2 + 470^2 + 540^2 + 660^2 + 510^2 + 520^2 + 500^2 + 480^2 + 400^2 + 650^2 + 460^2 + 500^2 + 580^2 + 500^2 = 1990600
Step 3: Calculate the sum of products between age and frequency.
2840 + 2670 + 2580 + 6470 + 9540 + 10660 + 13510 + 10520 + 14500 + 14480 + 12400 + 7650 + 11460 + 11500 + 14580 + 20500 = 190080
Step 4: Compute the correlation coefficient, r.
r = [nΣ(xy) - ΣxΣy] / [sqrt(nΣ(x^2) - (Σx)^2) * sqrt(nΣ(y^2) - (Σy)^2))]
where n is the number of observations, Σ is the sum, x is the age, y is the fundamental frequency, and xy is the product of x and y.
Using the values we calculated in steps 1-3, we get:
r = [16190080 - (106500)] / [sqrt(162066 - 106^2) * sqrt(161990600 - 500^2)]
= 0.877
Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.
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Find all of the cube roots of 11 and write the answers in rectangular (standard) form.
Answers
To solve this we must be knowing each and every concept related to cube root and its calculations. Therefore, the cube roots of 11 is 2.223.
What is cube root?In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.
Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots. The cube roots of 11 is 2.223.
Therefore, the cube roots of 11 is 2.223.
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12.4 is 20% of what number?
A. 2.48
B. 32.4
C. 62
D. 248
Answers
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
put 12.4* 20 and you get D
Please help ASAP!
The domain of this function is {-12, -6, 3, 15}.
y= 2/3x + 7
Complete the table based on the given domain.
Answers
Please help me!! Please explain and I’m pretty sure the answer needs to have < and > signs or >_ and <_ with “_” under < and >.
(For other ppl who search this)
4. Jim makes 8.50 an hour. Each week, 26% of his total pay is deducted for taxes. How many hours does Jim have to work if he wants his take-home pay to be AT LEAST $300 per week? Write and solve an inequality for this situation.
Answers
Answer:
Jim has to work 48 hours to earn at least $300 per week.
Step-by-step explanation:
Jim makes 8.50 per hour
so in x hours he makes 8.5x
26% is deducted for taxes
so his take home pay is 8.5x(1 - .26) = 8.5x(.74) = 6.29x
To make > = $300 Jim must work enough hours so that
6.29x >= 300
x >= 17.49
Can someone help me?!?!
Answers
Answer:
b, d, and f are 70°. a, c, g, and e are 110°
Step-by-step explanation:
Please help‼️
Find the product. Simplify your answer.
-3n-(-3n2-5)
Answers
Answer:
-3n-3n2+5
Step-by-step explanation:
You can use Keep Change Change in order to simplify the problem
Which combination correctly pairs a vector quantity with its corresponding unit?(1) weight and kg(2) velocity and m/s(3) speed and m/s(4) acceleration and m2/s
Answers
The correct pairing is (2) velocity and m/s , weight is a scalar quantity measured in newtons (N), not kilograms (kg)
Weight is the force experienced by an object due to gravity and is measured in newtons, not the unit of mass which is kilograms.
Velocity is a vector quantity that measures the rate at which an object changes its position. It is defined as the displacement of an object divided by the time taken and is measured in meters per second (m/s).
Speed is the magnitude of velocity and is also measured in meters per second (m/s). It represents how fast an object is moving regardless of its direction. Speed is a scalar quantity, not a vector quantity.
Acceleration is a vector quantity that measures the rate of change of velocity. It is defined as the change in velocity divided by the time taken and is measured in meters per second squared (m/s^2).
Acceleration represents how quickly an object's velocity is changing. Therefore, the correct pairing is (2) velocity and m/s.
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Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
Answers
The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.
How do you define the scientific notation?To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.
The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.For the given value;
= 49,000 grams
write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10
= 4.9000 × 10⁴
This could be written as;
= 4.9 × 10⁴.
Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.
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Union local school district has a bond outstanding with a coupon rate of 2. 9 percent paid semiannually and 16 years to maturity. The yield to maturity on this bond is 2. 7 percent, and the bond has a par value of $5,000. What is the dollar price of the bond?.
Answers
The Dollar Price of the bond $4813.26
The bond's present value (PV) represents the estimated future cash payments that will result from the bond. The value is equal to the sum of the discounted present values of the interest payments and the redemption value (RV).
Bond value equals PV of interest plus PV of RV
The Local School District's bond amount can be calculated as follows:
PV of interest payments
Semi annual interest payment:
= 2.9% × 5000× 1/2= 72.5
Semi-annual yield = 2.7/2 = 1.65%
Total period to maturity = (2 × 16) = 32 periods
PV of interest payment:
=72.5× (1- (1+0.016)^(-32)/0.016)
= 1804.66
PV of Redemption Value
= 5000× (1.016)^(-32)
= 3008.6
Price of bond
=1804.66 + 3008.6
=$4813.26
Therefore, The dollar Price of the bond is $4813.26
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1) James and Sarah work at a restaurant wh
they make $6.25 an hour, plus tips. Last wook
James worked x number of hours and earned
$103.33 in tips Sarah worked y number of hours
and earned $139.45 in tips Sarah determined
that the expression
6.25x 103.356.25y + 139 62
will calculate the amount they earned together.
Which of the following expressions is equivalent
to Sarah's expression?
o 6.25(xy)+242.78
• 6.25r+y+242.78
o 6.25(x+y)+242.78
o 6.25x + 6.25y-242.78
Answers
Answer: The equivalent expression to Sarah's expression is:
6.25(x + y) + 242.78
This expression takes into account the total number of hours worked by James (x) and Sarah (y) and adds it to the sum of their tips, which is $242.78. The expression multiplies the total number of hours worked by 6.25, which is their hourly wage.
Step-by-step explanation:
in terms of the equipment used, what is the principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields? identify at least two sources of random (statistical error. identify at least two sources of systematic error.
Answers
Calibrations errors.
Systematic error.
The principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields is related to the equipment used.
Two sources of random (statistical) error could include inaccuracies in the measurement device and fluctuations in the environment.
Two sources of systematic error could include calibrations errors of the equipment and interference from external sources.
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A survey from summer 2019 found that the average American adult spent 2.25 hours a day in front of a computer outside of work, with a standard deviation of 0.75 hours. The survey also found that the population data is most likely normally distributed. a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work? b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount? c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?
Answers
Answer:
a)0.135%
b) 36.944%
c) 95.209%
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 2.25 hours
σ is the population standard deviation = 0.75 hours
a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work?
x < 0 hours
Hence,
z = 0 - 2.25/0.75
= -3
Probability value from Z-Table:
P(x<0) = 0.0013499
Converting to Percentage
= 0.0013499 × 100
= 0.13499%
= 0.135%
b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount?
No more than 2 hours
x ≤ 2 hours
x < 2 hours
Hence,
z = 2 - 2.25/0.75
= -0.33333
Probability value from Z-Table:
P(x≤ 2) = 0.36944
Converting to Percentage
= 0.36944 × 100
= 36.944%
c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?
For x = 1 hour
z = 1 - 2.25/0.75
= -1.66667
P-value from Z-Table:
P(x= 1) = 0.04779
z = 5 - 2.25/0.75
= 3.66667
P-value from Z-Table:
P(x = 5) = 0.99988
Hence,
0.99988 - 0.04779
= 0.95209
Converting to Percentage
= 0.95209 × 100
= 95.209%
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
Answers
The slope of the given lines are:
Graph 1 = 1/3
Graph 2 = -1/3
Graph 3 = 3
Graph 4 = -3
How to Find the Slope of a Line?To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:
Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).
Find the slope of Graph 1:
Using two points on the line, (0, 0) and (3, 1):
Slope of graph 1 (m) = (1 - 0)/(3 - 0)
Slope of graph 1 (m) = 1/3
Find the slope of Graph 2:
Using two points on the line, (0, 0) and (-3, 1):
Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3
Slope of graph 2 (m) = -1/3
Find the slope of Graph 3:
Using two points on the line, (0, 0) and (1, 3):
Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1
Slope of graph 3 (m) = 3
Find the slope of Graph 4:
Using two points on the line, (0, 0) and (-1, 3):
Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1
Slope of graph 4 (m) = -3
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Matt buys 14 jars of paint.Each jar contains 300 mililiters of paint. How many liters of paint in all is there in the jars
ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
ASAP
Answer:
4.2
Step-by-step explanation:
300 mililiters of paint is 0.3 liters of paint,since there are 14 you need to multiply the milliters by 14 then convert it w/liters which is 4,200 militers=4.2 liters.
Solve for y:
-6+ 2y =12
Answers
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9