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3 years ago

Consider the quadratic function:

Mathematics

1 answer:

MrRissso [65]3 years ago

8 0

Answer: the vertex would be (4,-25)

Step-by-step explanation:

id suggest using desmos. its an app/website and is super helpful.

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

6 0

3 years ago

Please select the word from the list that best fits the definition

sp2606 [1]

Answer:

Epics

Step-by-step explanation:

Two dictionary definitions are

1. a long poem, typically one derived from ancient oral tradition, narrating the deeds and adventures of heroic or legendary figures or the history of a nation.

2. a long film, book, or other work portraying heroic deeds and adventures or covering an extended period of time.

7 0

3 years ago

Read 2 more answers

Estimate the product. Then find the actual product.

Artist 52 [7]

Answer:

it is in the steps 4443.6 actual product

estimate is 4444

Step-by-step explanation:

483*9.2=4443.6 actual product

6 0

2 years ago

Read 2 more answers

Suppose an auto racer won a 400 mile race with a time of 1:41:58. at one point the racer was 40 miles closer to the finish tha

enot [183]

400/2 = 200
200 + 20 = 220
200 - 20 = 180
Answer: He had gone 220 miles.

He was 180 miles from the finish and 220 from the start, so he was 40 miles closer to the finish than to the start.

7 0

3 years ago

How do you do this? Thanks for your time and effort! Plz help:)))))) THANKSSSSS

Nitella [24]

R=-1/800(x^2-2400x)
use R'=0
R'=1/400x-300, 1/400x=300 => x=1200 critical point
take R(1200), we know its max bcuz of the orientation of R

4 0

3 years ago