Sketch a graph of −3x − y = −4
Answers
First we notice that the equation is linear which means that its graph will be a line. To graph the equation we first solve it for y:
\(\begin{gathered} -3x-y=-4 \\ y=-3x+4 \end{gathered}\)Once we have the expression for y we give values to x (whichever value we want) and find its corresponding y using the equation above, this will give us points on the graph of the equation. For example, if x=0 we have:
\(\begin{gathered} y=-3\left(0\right)+4 \\ y=0+4 \\ y=4 \end{gathered}\)Hence, the graph passes through the point (0,4).
Following the same approach we can find various points on the graph, some of them are shown in the table below:
Now we plot this points on the plane and then we join them with a straight line. Therefore, the graph of the equations is:
Related Questions
PLEASE HELP!
2 $3.20
3 $4.80
4 $6.40
PLEASE HELP ME THANK YOU!!!
Answers
Answer:
Step-by-step explanation:
the rate of change is 1.60
you can easily see that by comparing the number of chips and the cost
List the integers from greatest to least.
{-23, -17, -4, -3, -15, -18, -26}
Answers
-26,-23,-18,-17,-15,-4, and -3 I’m pretty sure
Answer:
-3, -4, -15, -17, -18, -23, -26
Explanation:
The umbers away from zero are least and the numbers closer to zero are greater
Find the percent decrease. Round to the nearest percent.
From 128 pounds to 124 pounds
The percent decrease is
%.
Answers
Answer:
It should be -3.125%
Step-by-step explanation:
(124 - 128)/128 × 100
-4/128 × 100 = -3.125%
√√96
√8
Ο 213
Ο 4
Ο 222
D. 12
Answers
Answer:
2sqr3, the first option
Step-by-step explanation:
Algebra Tiles SOMEONE HELP ME QUICK I NEED HELP I WILL GIVE BRAINLIEST
Answers
Answer:
all
Step-by-step explanation:
all of them
Triangle ABC is similar to triangle DEF. Using any of the three methods you prefer, determine the length of side DF.
A. 15.5
B. 13.5
C. 54
D. 16
Answers
The length of side DF is 13.5.
What is a triangle?A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
If the triangles are similar, the proportion between their corresponding sides is constant, so, if BC is corresponding to EF and AC is corresponding to DF, we get:
\(\dfrac{\text{EF}}{\text{BC}} =\dfrac{\text{DF}}{\text{AC}}\)
So, replacing EF by 6, BC by 4, and AC by 9, we get:
\(\dfrac{6}{4} =\dfrac{\text{DF}}{9}\)
Then, we can solve for DF:
\(\dfrac{6}{4} \times 9=\dfrac{\text{DF}}{9} \times9\)
\(\dfrac{6\times4}{9} =\text{DF}\)
\(\dfrac{54}{9} =\text{DF}\)
\(13.5=\text{DF}\)
Hence, the length of side DF is 13.5.
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3 pounds to 24 ounces write each ratio in simplest form
Answers
Answer:
2:1
Step-by-step explanation:
First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1
Hope this helps :)
The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.
Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
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Does anyone know this answer??
Answers
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
Use a sine function to graph a sound wave with period of 0.002 seconds and an amplitude of 5 cm. Find the frequency in hertz for the sound wave.
Answers
Answer:
500Hertz
Step-by-step explanation:
Using the formula for calculating frequency in terms of period expressed as;
f = 1/T
f is the frequency
T is the period
Given
T = 0.002seconds
Frequency f = 1/0.002
Frequency f = 500Hertz
Hence the frequency in hertz for the sound wave is 500Hertz
The following is a function, true or false?
Answers
It is TRUE that the given image represents the function.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Initially, functions represented the idealized relationship between two changing quantities.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
So, the given image represents a function and it is a kind of many-to-one function.
Therefore, it is TRUE that the given image represents the function.
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estimate percent 19% of 46
Answers
What does 3ˣ + 4·3ˣ⁺¹ =
a. 13·3ˣ⁺¹
b. 5·3ˣ⁺¹
c. 5·3²ˣ⁺¹
d. 13·3ˣ
Answers
Answer:
D. 13*3^x
Step-by-step explanation:
\(3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x\)
The solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is the correct answer would be an option (D)
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
⇒ 3ˣ + 4·3ˣ⁺¹
⇒ 3ˣ + 4·3ˣ3¹
⇒ 3ˣ( 1 + 4·3)
⇒ 3ˣ( 1 + 12)
⇒ 3ˣ(13)
⇒ 13·3ˣ
Hence, the solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is correct answer would be option (D)
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solve the equation
select the correct answer
a. The solution set is ______
b. The solution set is empty
Answers
The solution set of the given equation is; -10
How to find the solution to the equation?The equation is expressed as;
(2x + 5)/2 - 3x/(x - 2) = x
Multiply through by 2(x - 2) to get;
(2x + 5)(x - 2) - 6x = 2x(x - 2)
2x² + 5x - 4x - 10 - 6x = 2x² - 4x
2x² will cancel out to get;
-5x - 10 = -4x
5x - 4x = -10
x = -10
Thus that value of x is the solution
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A sample of size 168, taken from a normally distributed population whose standard deviation is known to be 8.60, has a sample mean of 80.60. Suppose that we have adopted the null hypothesis that the actual population mean is equal to 80, that is, H0 is that μ = 80 and we want to test the alternative hypothesis, H1, that μ ≠ 80, with level of significance α = 0.1. The upper limit of a 95% confidence interval for the population mean would equal: _______
Answers
Answer:
The 95% confidence interval for the population mean is
(79.2996, 81.9004)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 168
Let 'X' be a Random variable in a normal distribution
Given that mean of the sample x⁻ = 80.60
Given that the standard deviation of the Population = 8.60
Step(ii):-
The 95% confidence interval for the population mean is determined by
\((x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )\)
\((80.60 -1.96 \frac{8.60}{\sqrt{168} } ,80.60 + 1.96 \frac{8.60}{\sqrt{168} } )\)
(80.60 -1.3004 , 80.60+1.3004)
(79.2996 , 81.9004)
Final answer:-
The 95% confidence interval for the population mean is
(79.2996, 81.9004)
What is the distance between (8, -3) and (4, - 7)?
Choose 1 answer:
Will GIVE YOU BRAINLIEST
Answers
Step-by-step explanation:
We'll find the distance using the all-famous "Distance Formula." You'll probably come across it quite a bit, so it's best to have it written down somewhere.
The Distance Formula: \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
Our points are (8, -3) and (4, -7), so we'll plug in those numbers accordingly.
For reference:
x2 = 4
x1 = 8
y2 = -7
y1 = -3
The calculation:
(substitute)
\(\sqrt{(4-8)^2+((-7)-(-3))^2 }\)
(simplify)
\(\sqrt{(-4)^2+(-4)^2 }\)
(square things)
\(\sqrt{16+16 }\)
(add)
\(\sqrt{32}\)
Answer:
\(\sqrt{32}\)
Answer:
\(\boxed {\boxed {\sf C. \sqrt{32}}}\)
Step-by-step explanation:
The distance between 2 points can be determined with the following formula.
\(d= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2\)
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. We want to find the distance between the points (8, -3) and (4, -7). If we match the value with its corresponding variable, then we see:
x₁= 8 y₁= -3 x₂= 4 y₂ = -7Substitute the values into the formula.
\(d= \sqrt{(4-8)^2+(-7--3)^2\)
Solve inside the parentheses.
(4-8) = -4 (-7 - -3) = (-7+3)= -4\(d= \sqrt {(-4)^2+(-4)^2\)
Solve the exponents.
(-4)² = -4 * -4 = 16\(d= \sqrt {16+16\)
Add.
\(d= \sqrt {32}\)
This radical can be simplified, but since it is an answer choice, we can leave it as is.
The distance between the points (8, -3) and (4, -7) is √32 and choice C is correct.
Image should be below.
Answers
How much water should be added to 34 mL of 18% alcohol solution to reduce the concentration to 17%?
Answers
Answer:
add -0.72 to both sides
2.04 - 0.72 = 0.72-0.72+0.06x
1.38=0.06x
divide by 0.06
1.38/0.06 = x
23 =x
23 ml water
Step-by-step explanation:
Answer:
2mL of water is need to reduce 18% alcohol solution to 17%
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
aj = 2 and r= 3
Answers
Answer:
162
Step-by-step explanation:
2, 2*3, 2*3*3, 2*3*3*3, 2*3*3*3*3=162
5x + 3x = 83 help me please!
Answers
Answer:
\(x=\frac{83}{8}\text{ or}\ 10.375\)
Step-by-step explanation:
Start by combining like terms:
\(5x+3x=83\)
\(8x=83\)
Divide both sides by 8
\(x=\frac{83}{8}\)
Find x of angle. 74° 74° 3x + 23 9x - 73
Answers
Answer: 169
Step-by-step explanation: 3x + 23 9x - 73= 242-73= 169
Find the area of the semicircle.
20 in
Answers
Answer:
50ㅠ
Step-by-step explanation:
10 is the radius
area= pi x r^2
ㅠ x10x10/2
100ㅠ /2
50ㅠ
Find the discriminant to determine the number of solutions for the quadratic equation a^2-5a=6
discriminant=
# of solutions=
Answers
a^2-5a-6 = 0
Discriminant = (-5)^2-4(1)(-6) = 49
Discriminant is positive so there are two solutions
Rewrite the expression
as square of a monomial.
81x^6y^4
Answers
Answer:
\((9x^3y^2)^2\)
Step-by-step explanation:
The expression, as a square of a monomial, will be given by:
\((\sqrt{81x^6y^4})^2\)
Now, we calculate the root, applying it's properties. So
\(\sqrt{81x^6y^4} = \sqrt{81} \times \sqrt{x^6} \times \sqrt{y^4} = 9 \times x^{\frac{6}{2}} \times y^{\frac{4}{2}} = 9x^3y^2\)
The expression as a square of a monomial is given by
\((9x^3y^2)^2\)
Point Q is between Points A and B on AB, which definition, property, or postulate would justify the equation: AQ + QB = AB
Answers
Help
D
Dmsjzjzjzjjzzxhxhxhxhxhxh
Answers
Answer:
18
Step-by-step explanation:
\({82 { }^{2} } - 80 {}^{2} = 324 \\ \sqrt{324 } = 18\)
Two airplane tickets cost 240 each and 11% fee is due at the time of booking how much is the fee for both tickets
Answers
Answer:
52.80
Step-by-step explanation:
The fee for 1 ticket is ...
0.11 × 240 = 26.40
Then the fee for both tickets is ...
2×26.40 = 52.80
Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points E and D to point F to form chords E F and D F. Arc E D is 68 degrees. The measure of arc ED is 68°. What is the measure of angle EFD? 34° 68° 112° 132°
Answers
Answer:
Option (1). 34°
Step-by-step explanation:
From the figure attached, CE and CD are the radii of the circle C.
Central angle CED formed by the intercepted arc DE = 68°
Since measure of an arc = central angle formed by the intercepted arc
Therefore, m∠CED = 68°
Since m∠EFD = \(\frac{1}{2}(m\angle ECD)\) [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]
Therefore, m∠EFD = \(\frac{1}{2}(68)\)
= 34°
Therefore, Option (1) 34° will be the answer.
Answer:
34 (100% Correct)
Step-by-step explanation:
Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Find the sum
5. 1/4+ 1/28+ 1/70+ ,.....
Answers
The sum is 9/28
What is sum ?
The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million.
The end result of addition is a sum. For instance, the sum 10, written, is obtained by adding 1, 2, 3, and 4. (1) The sum of the numbers is known as the sum of the addends, or summands occasionally.
1/4 + 1/28 + 1/70 + 1/30 + ............ 1/700
Multiply and divide by 3 in whole series
⇒ 1/3 X [3/4 + 3/28 + 3/70 + 3/130 + ......... 3/700]
⇒1/3 X [1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+..........1/25-1/28]
⇒1/3 x [1 - 1/28]
⇒1/3 * 27/28
⇒ 9 / 28
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17 m
9 m
3 m
11 m
???
Answers
Answer:
Step-by-step explanation:
11m