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Mars2501 [29]
4 years ago
7

Given the function y=-3(x-1)^2 -4, how do i find the range?

Mathematics
1 answer:
spin [16.1K]4 years ago
3 0
The vertex form:\ y=a(x-p)^2+q\ where\ (p;\ q)-coordinates\ of\ the\ vertex

The range of function y=ax^2+bx+c

if a > 0 then the range R = [q; ∞)
if a < 0 then the range R = (-∞; q]

We have: y=-3(x-1)^2-4\\\\a=-3 < 0\ and\ q=-4

therefore the range R=(-\infty;-4]
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Answer:

the answer is the length of the microchip in the new scale drawing is 9 inches

Step-by-step explanation:

8 0
4 years ago
How do you do this problem?
icang [17]

Step One

Put the right side over a common denominator.


\dfrac{a(x+ 1)}{*(x + 1)} - \dfrac{bx}{x(x + 1)} =  \dfrac{ax+a - bx}{x(x + 1)} = \dfrac{ax - bx + a}{x(x + 1)}


Step Two

Remove the brackets on the numerator in the last equality.


Step three.

This will seem kind of odd but take out the common factor (x) in the first two terms of the numerator.

\dfrac{x(a - b) + a}{x(x + 1)}


Step Four

What you do next comes up very frequently in your second or third calculus course.


You have to notice that there are no xs in the numerators on the left side of the original expression


Therefore you have to make a - b = 0 so that the xs disappear on the right.

a - b =0

a = b


Step Five

Find a

a is all by itself on the numerator of the final result.

The original question has a 1 in the numerator. Therefore a = 1


Step Six

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a = b

1 = b Answer



7 0
3 years ago
Help!! -Lesson: Probability. (Please explain why as well! )
Vladimir79 [104]

Answer:

It is likely that the moon will be visible on the planet tonight. (Likely).

Step-by-step explanation:

 Let me explain why the other choices are wrong. We know that the moon is a satellite that orbits around Earth. Within that period of the moon revolving or orbiting, it is very likely that the moon will appear. It is not impossible because the moon does have light caused by a light wave being reflected from the sun, and that light on the moon can be visible from Earth, so it is not impossible. As likely as not is wrong because the moon is visible very likely within its period of orbiting. Unlikely is wrong because although the moon may not show during a new moon, that doesn't mean that moon will most likely never show up. Likely is correct because we can the moon from Earth almost on a daily basis throughout the month. Hope this helps!

8 0
3 years ago
Julia's service charge at a beauty salon was $72.60, before tax. The sales rate was 8%. If she added 20% of the amount before ta
Svetradugi [14.3K]

Answer:

$87.12

Step-by-step explanation:

Tax: 8%

20% as a tip

First, we must add the tip to how much she was charged.

72.6 x 0.2 = 14.52 72.6 + 14.52 = $87.12

The tax doesn't count because it only asks for the <u>service</u> at the salon.

I hope this helped!

3 0
3 years ago
I really need help with this can somebody help me ?
Mama L [17]

<em>Answer</em>

a. Vertical shrink by a factor of 1/3

<em>Step-by-step explanation</em>

Function transformation

• a,f(x) vertically compresses f(x) when 0 < a < 1

Given the function:

f(x)=x^2

Multiplying f(x) by a = 1/3, we get:

\frac{1}{3}f(x)=\frac{1}{3}x^2=h(x)

Then, f(x) is vertically shrunk by a factor of 1/3

6 0
1 year ago
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