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tigry1 [53]
2 years ago
9

How many terms are in the expression 4(x + 8) + 5(y + 3) when simplified, and what are the terms?

Mathematics
2 answers:
shtirl [24]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Let's simplify by expanding the parentheses. When expanding parentheses, the result is essentially the sum of the product of the "outside number" with each of the "inside numbers".

In 4(x + 8), the outside number is 4 and the inside terms are x and 8, so we have:

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

In 5(y + 3), the outside number is 5 and the inside terms are y and 3, so we have:

5(y + 3) = 5 * y + 5 * 3 = 5y + 15

We now have:

4x + 32 + 5y + 15

Combine like terms:

4x + 5y + 32 + 15

4x + 5y + 47

We are left with three terms, so B is the answer.

egoroff_w [7]2 years ago
4 0

Answer:

There are 3 terms left

4x, 5y ,47

Step-by-step explanation:

4(x + 8) + 5(y + 3)

Distribute

4x+32+ 5y+15

Combine like terms

4x+5y + 32+15

4x+5y +47

There are 3 terms left

4x, 5y ,47

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Select the correct answer.<br> A and АВ:<br><br> Which matrix is matrix B?
Kruka [31]

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

5 0
2 years ago
Solve the system of eqautions <br> y=x2-5x+7 , y=2x+1
IgorC [24]

Answer:

Step-by-step explanation:

The system of equations is given as

y=x^2-5x+7 - - - - - - - - - - 1

y=2x+1 - - - - - - - - - - - - - - 2

We would equate equation 1 to equation 2, it becomes

x^2-5x+7 = 2x+1

x^2-5x+7- 2x - 1 = 0

x^2-5x+7- 2x - 1 = 0

x^2 - 5x - 2x + 7 - 1 = 0

x^2 - 7x + 6 = 0

We would use the factorization method of solving quadratic equations.

x^2 - 6x - x + 6 = 0

x(x - 6) - 1(x - 6)

(x - 6)(x - 1) = 0

x - 6 = 0 or x - 1 = 0

x = 6 or x = 1

Substituting both values of x into equation 2, it becomes

For x = 6,

y=2×6 + 1 = 12 + 1 = 13

y = 13

For x = 1,

y=2 × 1 +1 = 2 + 1 = 3

y = 3

3 0
2 years ago
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott
DiKsa [7]

Answer:

Between 15.95 ounces and 16.15 ounces.

Step-by-step explanation:

We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:

m = 16.05

sd = 0.1005

n = 4

We apply the formula of this case, which would be:

m + - 2 * sd / (n ^ 1/2)

In this way we create a range, replacing we have:

16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505

16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495

Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.

4 0
3 years ago
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