X = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
y = 23

small van (x) has 17 seats and large van (y) has 23 seats

3 0

3 years ago

Simplify -3(x + 5) + 5(x – 2) + 8

PtichkaEL [24]

Answer:

Hey there,

Just do this to solve your problem:

2x-17

Hope, this helps :)

7 0

3 years ago

A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity

Ostrovityanka [42]

Using the Factor Theorem, the polynomial is given by: $f(x) = (x + 4)^4(x + 1)^3(x - 6)^6$

The graph is sketched at the end of the answer.

The <em>Factor Theorem</em> states that a polynomial function with roots $x_1, x_2, \cdots, x_n$ is given by:

$f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)$

In which a is the leading coefficient.

In this problem, the roots are:

Root of -4 with multiplicity 4, hence $x_1 = x_2 = x_3 + x_4 = -4$ .

Root of -1 with multiplicity 3, hence $x_5 = x_6 = x_7 = 3$ .

Root of 5 with multiplicity 6, hence $x_8 = x_9 = x_10 = x_11 = x_12 = x_13 = 6$

Then:

$f(x) = a(x - (-4))^4(x - (-1))^3(x-6)^6$

$f(x) = a(x + 4)^4(x + 1)^3(x - 6)^6$

Positive leading coefficient, hence $a = 1$ .

13th degree, so it is odd.

Then:

$f(x) = (x + 4)^4(x + 1)^3(x - 6)^6$

At the end of the answer, an sketch of the graph is given.

For more on the Factor Theorem, you can check brainly.com/question/24380382

5 0

3 years ago