3 years ago

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

1 answer:

3 0

Add the common difference to a term to get the next term.
-10
-10 + (-2) = -12
-12 + (-2) = -14
etc.

The sequence is
-10, -12, -14, -16, -18, -20, -22, -24, -26, -28

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consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +2x=15$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

therefore

<u>the answer is</u>

the x-intercepts are the points $(3,0)$ and $(-5,0)$

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3 years ago

Read 2 more answers

ASAP PLEASE HELP

Ket [755]

A and C i believe that’s correct

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Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount M

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Answer:

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Step-by-step explanation:

Multiply $143 and 12%

Make 12% as decimal: 0.12

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