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hjlf
2 years ago
7

50 POINTS! Use the Parabola tool to graph the quadratic function.

Mathematics
2 answers:
Ray Of Light [21]2 years ago
7 0

Answer:

See below ~

Step-by-step explanation:

Given :

f(x) = (x+4)² − 6

f(x) = a(x + h)² + k

  • The vertex of the graph is (-4, -6)
  • Compressibility factor (a) is equal to 1

Another point on the parabola :

  • Take x = 1
  • f(1) = (1 + 4)² - 6
  • f(1) = 25 - 6
  • f(1) = 19
  • The second point is (1, 19)

Graph :

kkurt [141]2 years ago
5 0

General equation

  • y=a(x-h)²+k

By observing y=(x+4)²-6

  • Vertex is at (-4,-6)
  • a is 1

So

The parabola graph is attached

You might be interested in
3/2 x - 5/4 y =15 rate of change​
Alenkinab [10]

Answer:

6/5

Step-by-step explanation:

m is your rate of change you need to get y by itself.

3/2x - 15 = 5/4y

3x/2 - 30/2 = 5/4y

3x-30/2 = 5/4y

3x - 30 = 2 x 5/4y

3x - 30 = 2 x 5/4x2y (cross out 2 and 4)

3x - 30 = 5/2y

2 x 3x - 2 x 30 = 2 x 5/4y

6x - 60 = 5y

6x/5 - 60/5 = 5y/5

y = 6/5 x x - 12

3 0
4 years ago
A company makes three sizes of juice bottles: small, medium, and large.
Ivahew [28]

An expression in terms of s that represents the number of large bottles is :  L = (\frac{15s}{2} /3})

<h3>Ratio of different sizes of bottles </h3>

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = \frac{3s}{2}  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = \frac{3s}{2}

The equation becomes:

           3 : 5

           \frac{3s}{2} : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( \frac{3s}{2} ) * 5

L = (\frac{15s}{2} /3})

L = ( \frac{5}{2} s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

Learn more about Ratio : brainly.com/question/1509142

8 0
2 years ago
Suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interv
Bogdan [553]

Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.

A x% confidence interval means that we are x% confident that the population mean is in the interval.

  • Out of a large number of intervals, approximately x% will contain the value of the unknown parameter.

In this problem:

  • 95% confidence interval.
  • 1000 samples.

0.95 x 1000 = 950

Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.

A similar problem is given at brainly.com/question/24303674

3 0
3 years ago
-3x+6=21 -3x+6&lt;21 which statement best describes the process used to slove the equations
sukhopar [10]

Answer:

-3x-3x=21-6

9x=15

x=15/9

5 0
3 years ago
In a state with a sales tax rate of 7% hernandez buys a radio for 59.99 and a cd for 13.99. how much is the sales tax
yawa3891 [41]
Your total without tax is $73.98
7%=0.07
0.07×73.98=5.1786≈5.18
The sales tax is approximately $5.18
7 0
3 years ago
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