The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answer:

5

Step-by-step explanation:

Hence, the average speed to the cyclist is 16mph.

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

We know,

distance covered = 4 miles

time taken = 15 minutes = [tex]\frac{1}{4}[/tex]hours

speed = [tex]\frac{4}{\frac{1}{4} }[/tex] = 16

Hence, speed is 16.

to learn more about speed: https://brainly.in/question/27709746

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Answer:

69

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

19=x-4

x=23

Given:

The function is

[tex]y=3x[/tex]

Domain of the function is {9, 15, 18, 21, 27}.

To find:

The range of the function.

Solution:

We have,

[tex]y=3x[/tex]

Domain is set of input (x-values) and range is the set of output (y-values).

Domain =  {9, 15, 18, 21, 27}

For x=9,

[tex]y=3(9)=27[/tex]

For x=15,

[tex]y=3(15)=45[/tex]

For x=18,

[tex]y=3(18)=54[/tex]

For x=21,

[tex]y=3(21)=63[/tex]

For x=27,

[tex]y=3(27)=81[/tex]

So, the y-values are 27, 45, 54, 63, 81.

Therefore, the range of the function is {27, 45, 54, 63, 81}.

Note: Options are not in proper form.

Answer:

207

Step-by-step explanation:

Answer:

Um increase and the percentage change is 150

Step-by-step explanation:

Answer:

5 and 6 because it is the nearest

The equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

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They are both in the x-axis, and the center is (0,0), which means that the equation is:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

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Directrices at [tex]x = \pm 2[/tex] means that:

[tex]\frac{a^2}{c} = 2[/tex]

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Foci at [tex]x = \pm 4[/tex] means that:

[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]

Thus:

[tex]a^2 = 2c = 2(4) = 8[/tex]

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For b, we have that:

[tex]a^2 + b^2 = c^2[/tex]

[tex]8 + b^2 = 16[/tex]

[tex]b^2 = 8[/tex]

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

Thus, since a and b have been found, the equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

A similar problem is given at https://brainly.com/question/20409089

Answer:

im pretty sure it is.

y=-1/4x +3

Good luck!

Answer:

y = -1x/4 + 3

Step-by-step explanation:

m = slope

b = y intercept

Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

Answer:

$45.30

Step-by-step explanation:

Divide $73.50 by 5 = $15.10

Multiply $15.10 by 3 = $45.30

Answer:

44.1

Step-by-step explanation:

73.50/5=14.7

14.7x3=44.1

Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

Answer:

change in y 3-9/ change in x 4-1  =-6/3  = -2  there u go

Step-by-step explanation:

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

Answer:19 to the 5th power

Step-by-step explanation:

U got to count all the zeros and that will be the number u put on top plus 19

Answer:

1. 12 square kilometers

2.18 square inches

Step-by-step explanation:

To find the area of a square you multiply the base and the height. Then you divide it by 2. 8 times 3 divided by 2 is 12. 4 times 9 divided by 2 is 18. Hope this helps!

Answer:

a, c, and d

Step-by-step explanation:

Answer:

She will have 7 flowers left.

Step-by-step explanation:

I drew out clumps of 8 dots and counted them up to 79. The last clump only had 7 flowers left. Hope this helps :)

Answer:

He will expend 35 tickets for 7 rides. 3 tickets are left.

Step-by-step explanation:

Giving the following information:

Number of tickets= 38

Tickets per ride= 5

To calculate the number of rides he can make, we need to use the following formula:

Number of rides= number of tickets / tickets per ride

Number of rides= 38/5

Number of rides= 7.6 = 7 rides

He will expend 35 tickets for 7 rides. 3 tickets are left.

Answer: I need help too to that

Step-by-step explanation:

Answer: 1,152

Step-by-step explanation:

Answer:

dont cheat

Step-by-step explanation:

Answer:

y= -3x - 1

Step-by-step explanation:

The graph intercepts y at -3 and the slope is -1

Answer:

It's the 3rd answer. y = -x - 3

Step-by-step explanation:

It would be in the order it is

Step-by-step explanation:

this is the solution to both of these questions in that picture.

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation: