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3 years ago

The volume of the box is modeled by the function V (x) = 5x²+ 5x. whats the volume when x=4

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

100

Step-by-step explanation:

V (x) = 5x²+ 5x

x=4

We plug in the x value:

V (x) = 5(4)²+ 5(4)

Now we sovle the equation:

5(4)² + 5(4)

5(16) + 5(4)

80 + 20

= 100

Hope that helps, and sorry if its incorrect

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Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their

kotegsom [21]

You can find an axis of symmmetry of quadratic function by using this formula:

$x=-\dfrac{b}{2a} \\ \\ \hbox{Where function is} \ \ f(x)=ax^2+bx+c \ \ \hbox{assuming} \ \ a\neq 0$

An axis of f(x):

$x=-\dfrac{6}{2 \cdot 1}=-\dfrac{6}{2}=-3$

Of g(x):

$x=-\dfrac{0}{2 \cdot (-1)}=\dfrac{0}{2}=0$

Of h(x):

$x=-\dfrac{-4}{2 \cdot 2}=\dfrac{4}{4}=1$

At least to greatest you've got -3, 0, 1 so f(x), g(x), h(x). Answer a

6 0

3 years ago

Please help?!

Anton [14]

Answer:

Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider the ratio of the sides

$\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}$ ..............( 1 )

$\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}$ ..............( 2 )

$\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}$ ..............( 3 )

So By equation ( 1 ), ( 2 ) and ( 3 ) we get

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Now in Δ PQT and Δ QRS we have

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved

8 0

3 years ago

a triangle has a perimeter of 49 inches. the medium side is 7 more than the short side, and the longest side is 5 times the leng

slavikrds [6]

Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches

4 0

2 years ago

Read 2 more answers

HELP 6TH GRADE MATH Enter the phrase as an algebraic expression. b divided by 9

ozzi

Answer:

$\frac{b}{9}$ An algebraic expression is just an equation without an answer