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Elza [17]
3 years ago
9

Help me ASAP!!!

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

Braulio method is the correct method.

a = 3

Step-by-step explanation:

p(x) = x⁴ + 5x³ + ax² - 3x +11

Braulio uses the synthetic division method

x + 1, remainder = 17

x = -1

Hence,

From the attached picture, we can see that using the remainder theorem, Braulio got

a + 14 = 17

a = 3

This is very correct.

Using the remainder theorem

p(x) = x⁴ + 5x³ + ax² - 3x +11

x = -1

= (-1)⁴ + 5 (-1)³ + a(-1)² - 3(-1) + 11

= 1 -5 + a + 3 + 11

= -4 + a + 14

=0(a + 10) + 17

a + 10 = 17

a = 17 - 10

a = 7

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Simplify (9 ^ 2)/(9 ^ 7)<br> PLS HELP!!!! WILL MARK BRAINLIEST!
Gre4nikov [31]

Answer:

1/9^5

Step-by-step explanation:

Yeah you're correct, 9^2/9^7 = 1/9^(7-2).

5 0
3 years ago
A cone has a mass of 6g and a radius of 5cm and a height of 2cm what is the density
goblinko [34]

Step 1

we know that

The density's formula is equal to

density=\frac{mass}{volume}

The volume of a cone is equal to

Volume=\frac{1}{3}\pi r^{2} h

where

r is the radius of the base of the cone

h is the height of the cone

in this problem

r=5cm\\ h=2 cm

substitute the values in the formula above

Volume=\frac{1}{3}*\pi*5^{2}*2

Volume=52.36\ cm^{3}

Step 2

Find the density

we have

Volume=52.36\ cm^{3}

mass=6\ g

substitute in the formula

density=\frac{mass}{volume}

density=\frac{6}{52.36}

density=0.11\frac{g}{cm^{3} }

therefore

<u>the answer is</u>

the density is 0.11\frac{g}{cm^{3} }


3 0
3 years ago
A new community theater is being constructed with seating for at least 150 people. There are currently 4 sections that each seat
Minchanka [31]

The inequality used to represent the situation is 5b + 100 ≥ 150

<h3>Inequality</h3>

Inequality is an expression that shows the non equal comparison of two or more numbers and expressions.

Let b represent the number of balcony seating areas that each seat 5 people.

The inequality for the situation is given by:

5b + 4(25) ≥ 150

5b + 100 ≥ 150

The inequality used to represent the situation is 5b + 100 ≥ 150

Find out more on Inequality at: brainly.com/question/24372553

4 0
3 years ago
James bought two T-shirts and one pair of jeans at an online store and paid $40, not including taxes, for his purchase. A month
SVETLANKA909090 [29]

Answer:

The T-shirts cost $10 and the jeans cost $20.

Step-by-step explanation:

I guess you want to find the cost of the T-shirts and jeans at his first buy,

Let the cost be  $t and $j for T-shirts and jeans respectively.

Then we have the system:

2t + j = 40...................(1)

and a month later:

0.5*2t  + 0.5*5j = 60

t + 2.5j = 60................(2)

Multiply by - 2:

-2t - 5j = -120.............(3)

Adding equations (1) and (3):

-4j = -80

j = -80 /  -4

j =  $20.

Substituting j = 20 into equation (2):

t + 2.5(20) = 60

t = 60 - 50

t = $10.

t = $55

7 0
3 years ago
An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after t years is changing at the
LuckyWell [14K]
The equation describing the rate of change of the height of tree is given by
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We are given an initial condition that
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The given equation can be integrated using the given limits to solve for h at t =27.
7 0
3 years ago
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