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anygoal [31]
3 years ago
8

Rewrite the equation 4x + 2y = 8 in slope-intercept form.

Mathematics
2 answers:
zheka24 [161]3 years ago
6 0
The answer is y= 2x +4
lbvjy [14]3 years ago
3 0
1) move the x to the side with the whole number
* remember the form of y = mx + b
* when you move it to the other side, the sign changes… so watch out for signs
[ 2y = -4x + 8 ]
2) divide everything by the number that’s with y since you wanna isolate for y… this case it’s 2
[ y = -2x + 4 ]

:)
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If lines joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater t
Brut [27]

Answer:

The first three, (2, 8), (3, 9) and (4, 10).

Step-by-step explanation:

The unit rate, or rate of change, is another term for the slope.

The formula for slope is

m=\frac{y_2-y_1}{x_2-x_1}.

The slope in the table would be given by

m = (22-11)/(10-5) = 11/5 = 2.2.

For the slope of the line that goes through (2, 8) and (0, 0), we have

m = (8-0)/(2-0) = 8/2 = 4.  This is greater than 2.2.

For the slope of the line that goes through (3, 9) and (0, 0), we have

m = (9-0)/(3-0) = 9/3 = 3.  This is greater than 2.2.

For the slope of the line that goes through (4, 10) and (0, 0), we have

m = (10-0)/(4-0)/ = 10/4 = 2.5.  This is greater than 2.2.

For the slope of the line that goes through (5, 8) and (0, 0), we have

m = (8-0)/(5-0) = 8/5 = 1.6.  This is not greater than 2.2.

For the slope of the line that goes through (6, 7) and (0, 0), we have

m = (7-0)/(6-0) = 7/6 = 1.16.  this is not greater than 2.2.

For the slope of the line that goes through (7, 6) and (0, 0), we have

m = (6-0)/(7-0) = 6/7 = 0.86.  This is not greater than 2.2.

7 0
4 years ago
Read 2 more answers
The Statue of Liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch Isla is building a model of
Amiraneli [1.4K]
Idk if you can help me on my answer that would be helpful
6 0
4 years ago
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Determine whether y2=3x+1 is a function.
bazaltina [42]

Answer: it is not a function

Step-by-step explanation:

Given :

y^{2} = 3x + 1

The first thing is to make y the subject of the formula, that means we will take the square root of both sides

y = \sqrt{3x + 1}

since y =  \sqrt{3x + 1} , the the value of y could be positive or negative.

For example , \sqrt{4} = ± 2 , since -2 x -2 will also give + 4

For y =  \sqrt{3x + 1} to be a function , there must be a unique value for y for each value of x , but this is not the case as y could be positive or negative for a single value of x , so it is not a function.

4 0
3 years ago
Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo
svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

PV = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}}    \end {bmatrix}

128000 = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

PV= 921.433 \begin {bmatrix}  \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

121718.2714 =  \begin {bmatrix}  \dfrac{1300  (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}}    \end {bmatrix}

121718.2714 = 200000  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

\dfrac{121718.2714}{200000 } =  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

0.60859 =  \begin {bmatrix}  (1 - \dfrac{12}{12.078}))^{nt}   \end {bmatrix}

0.60859 = (0.006458)^{nt}

nt = \dfrac{0.60859}{0.006458}

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

6 0
4 years ago
Here is a problem that I need help with
77julia77 [94]
You turn 4/5 to 8/10 to get equal denominators and add the numerators together to get 16/10, or 1 6/10 which is reduced to 1 3/5.
8 0
4 years ago
Read 2 more answers
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