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3 years ago

-49x^2 +16 factor completely

Mathematics

2 answers:

zmey [24]3 years ago

8 0

(-7x+4)(7x+4)
-49x^2-28x+28x+16

rosijanka [135]3 years ago

3 0

Recognize the difference of 2 perfect squares

remember
a²-b²=(a-b)(a+b)
so

we can rearange them to look like this:
16-49x²
then show the squares
(4)²-(7x)²
then factor
(4-7x)(4+7x)

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Given that lim x → 2 f ( x ) = 1 lim x → 2 g ( x ) = − 4 lim x → 2 h ( x ) = 0 limx→2f(x)=1 limx→2g(x)=-4 limx→2h(x)=0, find the

VashaNatasha [74]

Answer:

According what I can read, I have the following statements:

$\lim_{x \to 2} f(x) = 1$

$\lim_{x \to 2} g(x) = -4$

$\lim_{x \to 2} h(x) = 0$

a) Applying properties of limits

$\lim_{x \to 2} f(x) + 5g(x) = \lim_{x \to 2} f(x) + 5 \lim_{x \to 2} g(x) = 1 + 5*-4 = -19$

b) Applying properties of limits

$\lim_{x \to 2} g(x)^{3} = {(\lim_{x \to 2} g(x))}^{3} = (-4)^{3} = -64$

c) Applying properties of limits

$\lim_{x \to 2} \sqrt{f(x)} = \sqrt{\lim_{x \to 2} f(x)} = \sqrt{1} = 1$

d) Applying properties of limits

$\lim_{x \to 2} 4*g(x)*f(x) = 4*\lim_{x \to 2} g(x)*\lim_{x \to 2} f(x) = 4*-4*1 =-16$

e) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x) = -4*0 =0$

f) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x)*f(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x)*\lim_{x \to 2} f(x = -4*0*1 =0$

3 0

3 years ago

2b-5/b-2 = 3/b+2<br><br><br><br> SOLVE

Deffense [45]

Cross multiply:-

3(b - 2) = (2b - 5)(b + 2)

3b - 6 = 2b^2 + 4b - 5b - 10

2b^2 - 4b - 4 = 0

b^2 - 2b - 2 = 0

b = 2.73, -0.73 Answer

7 0

3 years ago

Overall, about how many students prefer literature (poems, plays, or novels)?

scoundrel [369]

About one hundreds out of two hundred brobaly like literature better

6 0

3 years ago

-1/19,7/4,-4/7 least to greatest

oee [108]

Answer:

Order from Least to Greatest
-4/7  <  -1/19  <  7/4

Showing Work
Rewriting as fractions or any negatives if necessary:
-1/19, 7/4, -4/7

The least common denominator (LCD) is: 532.

Rewriting as equivalent fractions with the LCD:
-28/532, 931/532, -304/532

Ordering these fractions by the numerator:
-304/532  <  -28/532  <  931/532

Therefore, the order of your input is:
-4/7  <  -1/19  <  7/4

8 0

3 years ago

In a video racing game, an obstacle randomly appears on the race track 3 times every 20 laps. Estimate the number of times the o

Black_prince [1.1K]

Answer:

Step-by-step explanation:

100 laps

100 divided by 20 Is 5

3 x 5 is 15

please brainliest me

6 0

3 years ago