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miskamm [114]
3 years ago
7

I don’t understand how to multiply polynomials

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

3x^4 +7x^2 -20

Step-by-step explanation:

To find how tall the building is, multiply how high each story is by the number of stories

height = (x^2+4) * (3x^2-5)

FOIL

first x^2 *3x^2 = 3x^4

outer -5x^2

inner 4*3x^2 = 12x^2

last -5*4 = -20

Add them together

3x^4 -5x^2 +12x^2 -20

3x^4 +7x^2 -20

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I need help with both 9 and 10
Leno4ka [110]

I'll answer problem 9 to get you started

<h3>Answer: Choice (2) 3x-1 = 2x+3</h3>

===============================================

Explanation:

We will plug x = 7 into each equation or inequality given to us. Then we determine if we get a true statement or not.

----------------

Let's start with choice (1)

x + 3 > 6

7 + 3 > 6 .... x is replaced with 7

10 > 6

Since 10 is larger than 6, this makes the last inequality true. Therefore, the first inequality is true when x = 7. So we can rule out choice (1) since we are looking for a false statement.

----------------

Move onto choice (2)

3x-1 = 2x+3

3*7-1 = 2*7+3 ... replace every x with 7

21-1 = 14+3

20 = 17

This is false since we don't get the same number on each side. Therefore, choice (2) is the final answer.

----------------

Since we found the answer, we can stop here. But let's keep going to check the others.

choice (3)

2(x+1) = x+9

2*(7+1) = 7+9 ... plug in x = 7

2*(8) = 16

16 = 16

We get the same thing on both sides, so the equation is true. We can rule out choice (3).

-----------------

Now onto choice (4)

-2x + 10 \le 0\\\\-2*7 + 10 \le 0\\\\-14 + 10 \le 0\\\\-4 \le 0\\\\

This is true since -4 is to the left of 0 on the number line, which makes -4 smaller than 0. We can rule out choice (4).

6 0
3 years ago
Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5
irakobra [83]

Answer:

x=y

Step-by-step explanation:

-let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

\frac{x}{y}=\frac{5}{5}=\frac{1}{1}\\\\\\=>x:y

-Hence, for each one tennis ball, there is a tennis racket.

#This is a direct linear relationship and is modeled as graphed in the attachment:

4 0
3 years ago
If the equation y² - (K-<br>2y + 2k +1 = 0<br>with equal roots find the value of k​
777dan777 [17]

Answer:

y² - (K-  2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

8 0
3 years ago
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How
tigry1 [53]

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

a(x-h)^{2} + k, where (h,k) is the vertex

h = -8(t-0.5)^{2}+2    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

4 0
2 years ago
Evaluate 3 square root 125/100?<br> What is the answer plz help thx
vlabodo [156]
The answer to the question

6 0
3 years ago
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