Convert the following equation from standard form to slope-intercept form: -9x +3y = -12
Answers
Answer:
y=3x-4
Step-by-step explanation:
-9x+3y=-12
3y=12-9x
y=3x-4
Related Questions
Billy had two-thirds of a pizza left after dinner. Later that night, he ate one-fourth of it for
a snack. How much of the pizza did he eat for a snack
Answers
According to the given statement the fraction of pizza did Billy eat for a snack = 1/12
what is a fraction?A fraction is a subset of a bigger whole. In arithmetic, the number is expressed as a quotient, which represents the numerator divided by that of the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in both the numerator and the denominator.
What is the significance of a fraction as a number?A fraction, often known as a fractional number, is used to represent a portion of a whole. Fractions are made up of two numbers: a numerator (the number above the line) as well as a denominator (which is below the line). The denominator is the number of equal pieces that anything is divided into.
According to the given data:Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack =
Now ,
total size of pizza be = 1
Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack = total size of pizza -(2/3 of pizza + later he ate)
= 1 - (2/3 + 1/4)
= 1 - (11/12)
= 1/12
the pizza did Billy eat for a snack = 1/12
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The cash register subtracts $2.00 from a $10 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation.
Answers
The equation of the line in the slope-intercept form is: y = -2.00 x + 10.
The slope and provided point are both in the equation for the straight line.
The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.
y-y₁ = m(x-x₁)
It is the necessary equation for a line in the form of a point-slope.
That gift card to the Coffee Café has been provided. = $10
Medium coffee = $2.00
customers
The quantity of coffees a consumer can purchase can be represented using a linear equation.
Slope formula
m = (8 - 10)/(1 - 0)
m = -2
Now consider the line's point-slope shape.
y-y₁ = m(x-x₁)
( y - 10) = -2.00 ( x - 0)
y = -2.00 x + 10
The slope: m = - 2.00
The equation of the line: y = -2.00 x + 10
The y-intercept is 10
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f(x) = 4x3 + 7x2 – 2x – 1
g(x) = 4x – 2
Find (f - g)(x).
please help
Answers
9514 1404 393
Answer:
(f-g)(x) = 4x^3 +7x^2 -6x +1
Step-by-step explanation:
(f -g)(x) = f(x) -g(x)
= (4x^3 +7x^2 -2x -1) -(4x -2)
= 4x^3 +7x^2 +(-2-4)x +(-1+2)
(f -g)(x) = 4x^3 +7x^2 -6x +1
Use the equation below to find y, if m=7, x= 6, and b = 11.
y=mx-b
Answers
Answer:
y=31.
Step-by-step explanation:
y= mx - b
y= (7)(6)-(11)
y= 42-11
y=31.
Hey there!
y = mx - b
mx - b = y
7(6) - 11 = y
42 - 11 = y
31 = y
Therefore, your answer is: y = 31
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
Answers
52 Step-by-step explanation:
The solid graph is a translation of f(x) =3 square root of x.
How was the graph of f(x) = 3 square root of x shifted to form the
translation?
Answers
Answer:
2 units up
Step-by-step explanation:
just it is
Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.
Area = [?]in2
Answers
Answer:
see the attachment photo!
Answer: The correct answer is 135 in².
Step-by-step explanation: An area of a polygon is this:
Area = (number of sides × length of one side × apothem)/2
(5 x 6 x 9) / 2 = 135
Help! Quadratic Word Problems!
Answers
Answer:
Step-by-step explanation:
How many rectangles can you make that will fit on a 4 ✕ 4 geoboard such that none of them are congruent?
The answer is NOT: 100, 20, 36, 4, 354, 273, or 73
Answers
Answer:
9
Step-by-step explanation:
You want the number of non-congruent rectangles that can be drawn on a 4 × 4 geoboard.
RectangleA rectangle will have right-angle corners and opposite sides the same length. The attachment shows the 9 rectangles we believe exhaust the possibilities for a grid of 4 dots by 4 dots.
<95141404393>
2. If JKLM is a rhombus, MK = 30, NL = 13, and m/MKL = 41°, find each measure.
3. If WXYZ is a square with WZ = 27, find each measure.
Answers
The measure of YZ = 27
WY = 27√2
RX = 27/2 √2
and <XYZ = <ZWY = < WRZ= 90°
What are the properties of a square?A square is a quadrilateral with all the sides and angle equal. This are some of the properties of a square;
1. All four interior angles are equal to 90°
2. All four sides of the square are congruent or equal to each other.
3. The opposite sides of the square are parallel to each other.
4. The diagonals of the square bisect each other at 90°
5. The two diagonals of the square are equal to each other.
since a sides are equal,
YZ = 27
using Pythagoras
WY² = 27²+27²
WY = √1458
WY = 27√2
RX = WY/2
RX = 27/2 √2
and
XYZ = <ZWY = < WRZ= 90°
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Which expression is equivalent to 0.7 x 0.23?
OA (7x is) (23 x 1.)
ов.
(7x 10 ) x (23 ×
100
O C.
c. (71) * (23 x *)
O D.
D. (7* *) * (23 x )
What is it
Answers
(7 × 10⁻¹) × (23 × 10⁻²)
Step-by-step explanation:
0.7 × 0.23
= (7 × 10⁻¹) × (23 × 10⁻²)
What is the value of x?
Answers
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answers
Answer:
(A)
Step-by-step explanation:
The survey follows of women's height a normal distribution.
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
The new height requirements would be 57.7 to 68.6 inches
The given parameters are:
\mathbf{\mu = 63.5}μ=63.5 --- mean
\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation
(a) Percentage of women between 58 and 80 inches
This means that: x = 58 and x = 80
When x = 58, the z-score is:
\mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
This gives
\mathbf{z_1= \frac{58 - 63.5}{2.5}}z
1
=
2.5
58−63.5
\mathbf{z_1= \frac{-5.5}{2.5}}z
1
=
2.5
−5.5
\mathbf{z_1= -2.2}z
1
=−2.2
When x = 80, the z-score is:
\mathbf{z_2= \frac{80 - 63.5}{2.5}}z
2
=
2.5
80−63.5
\mathbf{z_2= \frac{16.5}{2.5}}z
2
=
2.5
16.5
\mathbf{z_2= 6.6}z
2
=6.6
So, the percentage of women is:
\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z
2
)−P(z<z
1
)
Substitute known values
\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)
Using the p-value table, we have:
\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034
\mathbf{p = 0.9860948}p=0.9860948
Express as percentage
\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%
\mathbf{p = 98.60948\%}p=98.60948%
Approximate
\mathbf{p = 98.61\%}p=98.61%
This means that:
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.
(b) Change of requirement
Shortest = 1%
Tallest = 2%
If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).
So, we have:
Shortest = 1% to 98%
This means that:
The p values are: 1% to 98%
Using the z-score table
When p = 1%, z = -2.32635
When p = 98%, z = 2.05375
Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
Substitute \mathbf{z = -2.32635}z=−2.32635
\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=
2.5
x−63.5
Multiply through by 2.5
\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5
Make x the subject
\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5
\mathbf{x = 57.684125}x=57.684125
Approximate
\mathbf{x = 57.7}x=57.7
Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=
2.5
x−63.5
Multiply through by 2.5
\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5
Make x the subject
\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5
\mathbf{x= 68.634375}x=68.634375
Approximate
\mathbf{x= 68.6}x=68.6
Hence, the new height requirements would be 57.7 to 68.6 inches
You are a game manufacturer. You and your team are trying to find the best pair of dice for a new board game you have made. You are examining the possible results of using a 6-sides die and a 8 sides die and rolling them together. If the random variable is defined as the sum of the two dice when rolled, which of the following values are included in the random variable.a.8b.14c.1d.12e.15f.0g. all of the above
Answers
Since one dice has 6 sides, then the faces number are
1, 2, 3, 4, 5, 6
Since the other dice has 8 sides, then the faces number are
1, 2, 3, 4, 5, 6, 7, 8
When we rolled them together and check the sum
The smallest sum is 1 + 1 = 2
The greatest sum is 6 + 8 = 14
Then we can not find the sum of
1, 15, or 0
The answer should be
a. 8
b. 14
d. 12
As an incoming college freshman, Tina received a 10-year $15,100 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the
funds are credited to his account. How much interest will accrue while she is still in
school and over the 6-month grace period for this freshman year loan?
O $2,813.28
O $2,915.06
O $3,001.32
O $3,102.38
Answers
The interest that will accrue while the college freshman is still in school and over the 6-month grace period for this freshman year loan is, approximately, B. $2,915.06.
How is the interest determined?The interest for federal college loans is based on the simple interest formula instead of compounding.
By compounding, we mean that interest is computed on the principal and accumulated interest.
Federal Direct Unsubsidized Loan = $15,100
Number of years for college = 4 years
The number of years before repayment = 4.5 years (4 years + 6 months)
Simple interest for 4.5 years = $2,915.06 ($15,100 x 4.29% x 4.5 years)
On the other hand, one can compute the compounded interest using an online finance calculator.
Compounded Interest:N (# of periods) = 4.5 years
I/Y (Interest per year) = 4.29%
PV (Present Value) = $15,100
PMT (periodic payment) during the 4.5 years = $0
Results:
FV = $18,241.85
Total Interest = $3,141.85
Thus, the interest is Option B.
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Find the value of y if the figure is a regular polygon.
1080
60
120
120
Answers
Answer:
60
Step-by-step explanation:
The measure of all exterior angles are the same. So, measure of each exterior angle = 360∘/6=60∘
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Answers
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
Answers
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answers
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
If the domain of a one-to-one function f is [6,&), the range of its inverse, f-1 , is
Answers
If the domain of a one-to-one function f is [6,&), the range of its inverse, f-1 of the one to one function is [6, &)
What is one to one function?In mathematics, functions are said to be one-to-one functions, when one input value only give an output. No two input values give same output value in a one to one function
Usually in mathematics, functions may have two inputs which give same outputs however for one to one functions one input value gives only one output value
Relating this to domain (input values) and range (output values) and inverse.
The domain of a one to one function will be the range of inverse of the one to one function
This is among the property of one to one function
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Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
Answers
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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what is α3 = -343 answer
Answers
Answer:
a3= -343
divade both side by 3 to make a the subject
a3/3= -343/3
a = -114.3
Can someone please explain what this is?! None of my parents understand it and neither do I!
Answers
Answer:
given below
Step-by-step explanation:
the column if multiplied shall give 12 as product. two sides are given.
multiply the given ones and divide it by 12.
Draw a model to show 3= 18/6
Answers
Answer:
Step-by-step explanation:
3 x 6 = 18 so 18/6 = 3
The model is plotted and the equation is 18/6 = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 18 / 6
On simplifying , we get
A = 3
Therefore , the value of A is 3 and the model is plotted
Hence , the equation is A = 3
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Two numbers are in the ratio 3: 4. If 2 is subtracted from each number, the ratio becomes 2:3. Find the numbers.
Answers
Answer:
The numbers are 6 and 8.
Step-by-step explanation:
Let the numbers be x and y.
x/y = 3/4
(x - 2)/(y - 2) = 2/3
3y = 4x
2(y - 2) = 3(x - 2)
3y = 4x
2y - 4 = 3x - 6
4x - 3y = 0
3x - 2y = 2
-8x + 6y = 0
+ 9x - 6y = 6
--------------------
x = 6
3y = 4x
3y = 4 × 6
3y = 24
y = 8
The numbers are 6 and 8.
Add the following fractions by drawing them 3/8 +1/3
Answers
answer:
\(\sf \dfrac{17}{24}\)
step-by-step explanation:
\(\sf \dfrac{3}{8} +\dfrac{1}{3}\)
the largest multiple of 8 and 3 is 24, make the denominator same
\(\sf \dfrac{3(3)}{8} +\dfrac{1(8)}{3}\)
expand
\(\sf \dfrac{9}{24} +\dfrac{8}{24}\)
simplify, join both fractions
\(\sf \dfrac{17}{24}\)
Answer:
\(\dfrac{17}{24}\)
Step-by-step explanation:
Convert the fractions so that their denominators are the same, then add:
\(\dfrac38+\dfrac13=\dfrac{3 \times 3}{8 \times 3}+\dfrac{1 \times 8}{3\times 8}=\dfrac{9}{24}+\dfrac{8}{24}=\dfrac{17}{24}\)
9x + 4
8x - 4
4x + 17
If the perimeter is 374 units, find the value of x and the area of the triangle.
The value of x is
The area is
square units.
Answers
Answer:
x = 17
Area = 10,362units²
Step-by-step explanation
Given the sides of the triangle
S1 = 9x+4
s2 = 8x-4
S3 = 4x+17
Perimeter of the triangle is the sum of all the sides
P = S1+S2+S3
374 = 9x+4+8x-4+4x+17
374 = 21x+17
21x = 374-17
21x = 357
x = 357/21
x = 17
Hence the value of x is 17
Area of the triangle is 1/2bh
A = 1/2bh
b is the base
h is the height
Let the base be 9x + 4 and height be 8x-4
b = 9x+4
b = 9(17)+4
b = 153+4
b = 157units
h = 8x-4
h =8(17)-4
h = 136-4
h = 132
Area = 1/2 * 157 * 132
Area = 157*66
Area = 10,362units²
Solve 8+q/−2=523 . Express the solution as a mixed number in simplest form.
Answers
Answer:
see image
Step-by-step explanation:
i worked this two different ways, depending on what your original question was. See image.
HELP PLEASE ITS URGENT!!
