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kumpel [21]
3 years ago
11

7(4x - 2) - 4(2x - 8)

Mathematics
2 answers:
vesna_86 [32]3 years ago
6 0

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

dezoksy [38]3 years ago
4 0

Step-by-step explanation:

<u>Step 1:  Distribute</u>

<u />7(4x - 2) - 4(2x - 8)

(7 * 4x) + (7 * -2) + (-4 * 2x) + (-4 * -8)

(28x) + (-14) + (-8x) + (32)

28x - 14 - 8x + 32

<u>Step 2:  Combine like terms</u>

28x - 14 - 8x + 32

20x + 18

Answer:  20x + 18

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Answer:
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Step by step explanation:
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6 0
3 years ago
In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for ea
vichka [17]

Answer:

$2.40 for the video game and $14.8 for the DVDs

Step-by-step explanation:

1 video game = $2.40

4 DVDs = $14.8

$3.70 x 4 = $14.8

6 0
3 years ago
A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat
Virty [35]

Answer:

a) P (x,y) \approx (0.1,1.05), b) P(x,y) = (0.07,1.04).

Step-by-step explanation:

a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

P (x,y) \approx (0.1,1.05)

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

f'(x) = 1 - 14\cdot x

f''(x) = -14

The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

1 - 14\cdot x = 0

x = 0.07

According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

y = 1 +0.07-7\cdot (0.07)^{2}

y = 1.04

The exact solution is P(x,y) = (0.07,1.04), indicating that graphic solution leads to a good approximation.

6 0
3 years ago
5700 is compounded semiannually at a rate of 15% for 12 years
Rama09 [41]

Answer:

$32,335.38

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time</em>

<em />

Now lets plug in the values into the equation:

5,700(1+\frac{.15}{2})^{12(2)} = 32,335.38

Your answer is $32,335.38

4 0
3 years ago
zuri bought 8 cupcakes,16chocolate cookies and five peanut butter cookies.How many more cookies will need to buy if he wants 2 d
shtirl [24]

She will need to buy 3 more cookies because 2 dozens is 24. And 16 cookies plus 5 is 21 cookies plus 3 is a dozen cookies which is 24

24=16 chocolate cookies+5 peanut cookies+3 random cookies


6 0
3 years ago
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