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3 years ago

Evaluate each function. 1) f(x) = x2 + 4x; Find f(-7)

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

The answer is -77

Step-by-step explanation:

Ok, so assuming by x2 you mean x squared, I will solve this. So basically when you have a function, f(-7) would mean that you would have to replace all the x's in the equation with -7. So let's write that out. that would be f(-7) = -7^2 + (-7*4). So now according to PEMDAS, you would solve the exponent first, and -7^2 is equal to -49, because when you solve it you would do -(7^2), which is -(49), which is then -49. So now you have f(-7)= -49+ (4*-7). Solving for (4*-7), you get -28. This leaves you with -49 + (-28), which is -49 - 28. Simplifying that, you get the answer, which is -77.

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Step-by-step explanation:

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3 years ago

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What is the product?

LenaWriter [7]

Answer:

$21x^{7}y^{11}$

Step-by-step explanation:

Remove the parentheses and take out the constansts.

$(7 x 3) x^{2} x^{5} y^{3} y^{8}$

Simplify 7 x 3 to 21.

$21x^{2} x^{5} y^{3} y^{8}$

Use the product rule: $x^{a} x^{b} = x^{a + b}$

$21x^{2 + 5}y^{3+8}$

Simplify 2+5 to 7.

$21x^{7}y^{3+8}$

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$21x^{7}y^{11}$

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2 years ago

If AC = 3, BC = 5, and AB = 7, find AD:<br> 2 5/8<br> 4 1/5<br> 4 3/8<br> 11 2/3

Vesna [10]

Answer:

1. $2\frac{5}{8}$

Step-by-step explanation:

We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

We can set up an equation as:

$\frac{AC}{AD}=\frac{BC}{BD}$