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Virty [35]
3 years ago
6

. Which function's graph has a vertex at (-1, -3) and contains the point (2, 15)? HELPPP PLEASEE

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

2(x+1)²-3

Step-by-step explanation:

Using the vertex formula we can write the follwoing equation

y=a(x+1)²-3

We need to solve for a

we know that when x= 2 y = 15

So we can write

15=a(2+1)²-3

15=9a-3

18=9a

a=2

Which means our final equation is

2(x+1)²-3

in standard form (just in case)

2x²+4x-1

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Jenny bought scrapbooking supplies for $156.50. She paid $10.17 in sales tax. What was the sales tax rate on the supplies? If ne
Lapatulllka [165]

Answer:

6.5%

Step-by-step explanation:

sales price x sales tax rate = sales tax

156.50 x sales tax rate = 10.17

sales tax rate = 10.17/156.50

sales tax rate = .065 or 6.5%

7 0
2 years ago
Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​
Dovator [93]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

AL=\frac{\theta}{360}*2\pi r where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

AL=\frac{40}{360}*2(3.1415)(3). I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

AL=\frac{1}{9}*2(3.1415)(3) which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

A_s=\frac{\theta}{360}*\pi r^2 where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

A_s=\frac{1}{9}*(3.1415)(3)^2 which simplifies a bit to

A_s=\frac{1}{9}*(3.1415)(9). As you can see, the 9's cancel each other out, leaving you with

A_s=3.14 units²

7 0
2 years ago
Read 2 more answers
What is 3 times piy time 53 divided by 72
AfilCa [17]

Answer:

6.93768377668

Step-by-step explanation:

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3 0
3 years ago
161/4=<br> ........................<br> 1/2<br> 2<br> 4
tia_tia [17]
161/4=40.25 so none of those choices match
5 0
3 years ago
Read 2 more answers
How do I do this question?
Marat540 [252]

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

4 0
2 years ago
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