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____ [38]
3 years ago
13

11. Sarah claims that (x - 4) is a factor of p(x) = x2 +8x - 48.Which equation must

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

d) p(4) = 0.

Step-by-step explanation:

p(4) = 0:-

p(4) = 4^2 + 8(4) - 48

= 16 + 32 - 48

= 0.

This is an application of the Factor Theorem ( a special case of The Remainder Theorem)

The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.

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1-tan^2(x)/sec^2 = cos(2x)
LekaFEV [45]

By applying the formula of trigonometric function the right hand side will

be equal to right hand side which is 1-tan^{2} x/sec^{2}x=cos2x.

Given: 1-tan^{2} x/sec^{2}x=cos2x.

Taking right hand side first which is cos2x.

We know that cos2x=1-tan^{2}x/1+tan^{2}x

Now we will solve the left hand side of the equation give which is

1-tan^{2} x/sec^{2}x

=1-tan^{2}x/1+tan^{2}x

[secant square x minus tangent square x is equal to 1]

By putting both values left hand side and right hand side we will find our solution which is :

1-tan^{2}x/1+tan^{2}x=1-tan^{2}x/1+tan^{2}x.

Hence proved

Learn more about trigonometric functions at brainly.com/question/24349828

#SPJ10

3 0
2 years ago
Hi, I just have this one problem. Please explain how you got the answer as well, thanks!
Brums [2.3K]

2/3x = 6

Multiply both sides by 3x

2 = 6.3x

2 = 18x

x = 2/18

x = 1/9

7 0
3 years ago
Read 2 more answers
Find the number b, where b>0, such that the average value of f(x)=3−27x2 on the interval [0,b] is equal to 2.
Ymorist [56]
F(×)=3-27×2
4-1=3×3=9-27
18×2=36
ob
8 0
3 years ago
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0
3 years ago
Read 2 more answers
Work out the size of angle a
satela [25.4K]

Answer:thre

Step-by-step explanation:

8 0
3 years ago
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