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Vladimir [108]
3 years ago
15

-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)
You might be interested in
Combine like terms<br><br><br> -2/3p + 1/5 - 1 + 5/6p
Bezzdna [24]
1/6p - 4/5

Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!

Our answer: 1/6p - 4/5

I hope that helps!
5 0
3 years ago
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33
Tpy6a [65]

Answer:

The estimate for the proportion of Americans over 33 who smoke is 0.28.

Step-by-step explanation:

Proportion of Americans over 33 who smoke.

Number who smoke divided by the size of the sample.

In this question:

Sample of 1267.

913 don't smoke, so 1267 - 913 = 354 smoke. Then

p = \frac{354}{1267} = 0.28

The estimate for the proportion of Americans over 33 who smoke is 0.28.

7 0
2 years ago
there are 2 numbers that are twice as far from 23 as they are from 38. Those two numbers are? QUICKK PLS
sergeinik [125]

Answer:

53&8

Step-by-step explanation:

38-23=15

23+15+15=53

23-15=8

5 0
2 years ago
Which table shows a proportional relationship between x and y?
Akimi4 [234]

Answer:

First one

Step-by-step explanation:

First choose because they are all multiply by 5

3 0
2 years ago
I need help with number 15 please and thanks
julsineya [31]
The tree is 7.5ft because it's shadow is half it's height.
5 0
3 years ago
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