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Viktor [21]
3 years ago
12

How do you Rewrite f(x) = −(x + 3)2 − 1 from vertex form to standard form?

Mathematics
1 answer:
wel3 years ago
5 0
Expand it

-(x+3)^2-1
-(x+3)(x+3)-1
-1(x^2+3x+3x+9)-1
-1(x^2+6x+9)-1
-x^2-9x-9-1
-x^2-9x-10

f(x)=-x^2-9x-10
You might be interested in
Refer to the number line. Find the coordinate of point Y such that the ratio of MY to YJ is 2:3
balandron [24]

The coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4

<h3>How to determine the point?</h3>

The complete question is added as an attachment

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 2 : 3

The location of the point Y is then calculated as:

Y = Ratio * (J - M)

This gives

Y = 2/(2 + 3) * (18 - 2)

Evaluate

Y = 2/5 * 16

This gives

Y = 6.4

Hence, the coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

5 0
2 years ago
Pls pls help, thank you &lt;3
Reika [66]

Answer:

  (x -1)² +(y -4)² = 25

Step-by-step explanation:

The equation of a circle in standard form is ...

  (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

The graph shows your circle has its center at (1, 4) and its radius is 5. Then the equation is ...

  (x -1)² +(y -4)² = 25

3 0
3 years ago
Solve 3/4x = 7 28/ 3​
Olegator [25]

3/4x=728/3

x=728/3×4/3

x=32.556

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

BUT I'M NOT SURE IF IT IS CORRECT

6 0
3 years ago
The FDA recommends that Americans get on average 3,000mg of salt in their daily diet. Suppose that you are interested in testing
gavmur [86]

Answer:

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

Step-by-step explanation:

We are told that the FDA recommends that Americans get on average 3,000mg of salt in their daily diet.

Now we want to test this claim of whether Americans truly get an average of 3,000mg of salt in their daily diet.

Thus, the hypotheses is as follows;

Null hypothesis; H0: μ = 3000

Alternative Hypothesis; Ha: μ ≠ 3000

5 0
3 years ago
Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat
wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

V=\frac{1}{3}\pi r^2h

Where r is the radius and h is the height.

Volume of the cone A:

V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

r_B=2r_A\\r_B=2*2in\\r_B=4in

Then:

V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3

Divide V_B by V_A:

\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

5 0
3 years ago
Read 2 more answers
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