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3 years ago

8

Which expression is equivalent to 6(-7k - 2) + 6k?

1 answer:

makvit [3.9K]3 years ago

4 0

Answer:

-36k - 12 that is the answer

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Solve the following proportion. P/6 = 7/8<br> A: P=5.25<br> B: P=8<br> C: P=10.5<br> D: P=42

ValentinkaMS [17]

Answer:

A

Step-by-step explanation:

given $\frac{P}{6}$ = $\frac{7}{8}$

using the method of cross- multiplication then

8P = 42 ( divide both sides by 8 )

P = $\frac{42}{8}$ = 5.25

4 0

3 years ago

Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a

horsena [70]

Do 2*3 then do the answer divided by 18 to get the answrr

5 0

3 years ago

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2. Help ASAP!!!!!!!!!!!!!!!!

ch4aika [34]

ANSWER

$2 \times 2$

EXPLANATION

The dimensions of a matrix is of the form:

$Row \times Column$

The dimensions of the first matrix is

$2 \times 3$

The dimensions of the second matrix is

$3 \times 2$

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

$(2 \times 3)(3 \times 2) = 2 \times 2$

Therefore the dimensions of the product is a 2×2 matrix.

8 0

3 years ago

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Before leaving to visit Mexico, levant traded 270 american dollars and received 3000 mexican pesos. When he returned from mexico

Makovka662 [10]

Levant will receive about 9 american dollars when he exchanges his pesos.

According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.

4 0

3 years ago

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