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Angelina_Jolie [31]
3 years ago
11

What is the y-intercept of function g if g(x)= -4f(x)+12

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

y+12=16.6 y is the examiner

Step-by-step explanation:

plzz mark as brainliest

lapo4ka [179]3 years ago
8 0

Answer:

Im pretty sure its 12 im sorry if im wrong.

Step-by-step explanation:

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Answer:

137°

Step-by-step explanation:

Basically, its the reverse of question 1.

With angle x, you can find out that the opposite angle is 360 - 106 = 254°

the angle is twice the size of angle y as said in the corcle theorems.

254 divided by 2 = 137°

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3 years ago
Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
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