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3 years ago

Simplify each expression given the replacement values. 7x + y2 if x = -4 and y=5

Mathematics

2 answers:

Vinvika [58]3 years ago

6 0

To solve this you must replace x with -4 and y with 5 in the equation 7x + y² like so:

7 × (-4) + 5²

To solve this use PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS .

Exponent...

7 × (-4) + 5²

5² = 5 × 5 = 25

7 × (-4) + 25

Multiplication...

7 × (-4) + 25

7 × (-4) = -28

-28 + 25

Addition...

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number (disregarding the signs). In this case the largest number is 28 and its sign is negative. Your answer will have a negative sign.

-28 + 25 = -3

-3

Hope this helped!

~Just a girl in love with Shawn Mendes

g100num [7]3 years ago

4 0

Answer:

−3

Step-by-step explanation:

$7[-4] + {5}^{2} = -28 + 25 = -3$

According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate the exponent BEFORE doing anything else to avoid confusion. Then, you take care of your multiplication.

I am joyous to assist you anytime.

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4 years ago

Solve: x+2/x-4<0<br> O _4 O -2 -2 -4

sammy [17]

Answer:

-2<x<4

Step-by-step explanation:

For $\frac{x+2}{x-4} < 0$ , note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

7 0

3 years ago

8x3+26x2+19x+3 is divided by 4x+3

ICE Princess25 [194]

Answer:

Remainder=35.25

Quotient = 2x²+8x+10.7

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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

If F(X) = -4X + 3, what is F(-2)

Setler79 [48]

Answer:

Step-by-step explanation:

When you plug in -2 for x you get -4(-2) +3

8 +3 = 11

F(-2)=11

Hope this helps, have a nice day

7 0

3 years ago

Read 2 more answers