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1 year ago

If 2a + 7b+2c=16 and 2a + 3b +2c= 8, then b = ? (A)-2 (B) O (C) 2 (D) 4 (E) 6

Mathematics

1 answer:

Sauron [17]1 year ago

5 0

Answer:

Step-by-step explanation:

Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.

<h3>Solution</h3>

The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.

(2a +7b +2c) -(2a +3b +2c) = (16) -(8)

4b = 8 . . . . . . . simplify

b = 2 . . . . . . . divide by 4

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Ratling [72]

Answer:

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Step-by-step explanation:

$the \: determinant \: of \: a \: matrix : A \to\\If \: A =\begin{bmatrix} x & y \\ a & b \end{bmatrix} \: then : \\ its \: determinant \: is \: givn \: by \to \\ |A| = (b \times x) - (a \times y) \\ \boxed{|A| = bx - ax}$

♨Rage♨

5 0

2 years ago

Select all polynomials that have (x-3)(x−3)left parenthesis, x, minus, 3, right parenthesis as a factor. Choose all answers that

iVinArrow [24]

Answer:

A, C, D

Step-by-step explanation:

One way to answer this question is to use synthetic division to find the remainder from division of the polynomial by (x-3). If the polynomial is written in Horner form, evaluating the polynomial for x=3 is substantially similar.

A(x) = ((x -2)x -4)x +3

A(3) = ((3 -2)3 -4)3 +3 = -3 +3 = 0 . . . . . has a factor of (x -3)

B(x) = ((x +3)x -2)x -6

B(3) = ((3 +3)3 -2)3 -6 = (16)3 -6 = 42 . . . (x -3) is not a factor

C(x) = (x -2)x^3 -27

C(3) = (3 -2)3^3 -27 = 0 . . . . . . . . . . . . . has a factor of (x -3)

D(x) = (x^3 -20)x -21

D(3) = (3^3 -20)3 -21 = (7)3 -21 = 0 . . . . has a factor of (x -3)

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The polynomials of choice are A(x), C(x), and D(x).

4 0

3 years ago

In the recipe,3/4 cup of white sugar makes 8 slices of pie .if you want 48 slices of pie, how much white sugar do you need

Mashutka [201]

Hi!

We will solve this using proportions, like this:

3/4 cup for 8 slices of pie

x cup for 48 slices of pie

_______________________

x = ((3/4)*48)/8

x = (3*48)/(4*8)

x = 144/32

x = 4,5

You need 4 1/2 cups of white sugar for 48 slices of pie.

Hope this helps!

8 0

3 years ago

Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou

tatuchka [14]

1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
And you get (1/2)*12 which is 6=x lemons

He needs 6 cups of lemons

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3 years ago

What is the sum of the solutions of 2x [×-1]-4=-2

Dafna11 [192]

I believe the answer would be 2/4

5 0

3 years ago

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