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3 years ago

Factor each expression. 2p³+6p²+3p+9

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

(p+3) ( 2p squar 2 +9)\
have a great day!!!!:)

Natasha2012 [34]3 years ago

6 0

$2p^3 + 6p^2 + 3p + 9 \\ \\ 2p^2 (p + 3) + 3(p + 3) \\ \\ (p + 3)(2p^2 + 3) \\ \\$

The answer is: (p + 3)(2p² + 3).

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Abdul drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 296 miles?

kakasveta [241]

He would need 11.1 gallons of gas if he was/would drive 296 miles.

12 divided by 320 = .0375

.0375 x 296 = 11.1 Gallons of Gas needed to drive the distance.

8 0

2 years ago

Read 2 more answers

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$

We can replace there s = 215 ft to get

$215=16t^2+32t$

Solving for the time t.

From the previous equation we can move all terms in one side to get

$16t^2+32t-215=0$

At this point we can solve for t using quadratic formula.

$t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a, b and c are the coefficients of the quadratic equation

$at^2+bt+c=0$

So we get

$a=16\\b=32\\c=-215$

Replacing on the quadratic formula we get

$t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}$

Using a calculator we get

$t=-4.8 , t = 2.8$

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0

3 years ago

Find all real solutions of the equation. x4/3 − 7x2/3 + 10 = 0

BlackZzzverrR [31]

Solve by Factoring x^(2/3)-7x^(1/3)+10=0
x
2
3
−
7
x
1
3
+
10
=
0
x
2
3
-
7
x
1
3
+
10
=
0
Rewrite
x
2
3
x
2
3
as
(
x
1
3
)
2
(
x
1
3
)
2
.
(
x
1
3
)
2
−
7
x
1
3
+
10
=
0
(
x
1
3
)
2
-
7
x
1
3
+
10
=
0
Let
u
=
x
1
3
u
=
x
1
3
. Substitute
u
u
for all occurrences of
x
1
3
x
1
3
.
u
2
−
7
u
+
10
=
0

8 0

2 years ago

The midpoint of XY is Z. If XY = 3n and XZ = n + 15, what is YZ?

Degger [83]

Answer:

the only thing i know that n=-30

8 0

3 years ago

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of

svet-max [94.6K]

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.