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blondinia [14]
2 years ago
7

If f(x) = -3x - 2 find f(-2) + 9

Mathematics
2 answers:
ad-work [718]2 years ago
8 0
It shluld be 19 i think
wolverine [178]2 years ago
3 0

Answer:

<u>f</u><u>(</u><u>-</u><u>2</u><u>)</u><u> </u><u>+</u><u> </u><u>9</u><u> </u><u>is</u><u> </u><u>1</u><u>9</u>

Step-by-step explanation:

f(x) =  - 3x - 2

when x is -9:

f( - 2) =  - 3( - 2) - 2 \\ f( - 2) = 10

sum up with 9, f(-2)+9:

f( - 2) + 9 = 10 + 9 \\  = 19

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Tell whether the square root of .25 is rational or irrational. Explain.
artcher [175]
The square root of .25 is rational because it is a terminating decimal.
√(.25)=05
8 0
3 years ago
Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
Express the extended fraction at the right as a simple fraction in lowest terms.
ValentinkaMS [17]

Answer: 5/2

Yes it has to be 5/2

5 0
3 years ago
Read 2 more answers
To find 19+(11+37)Lennon added 19 and 11 Then he added 37 to the sum What property did he use?
Sliva [168]
Lennon used the property o addition
4 0
3 years ago
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