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Advocard [28]
2 years ago
9

Use the graph of the quadratic function, g(x), to answer each question.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
5 0
Given the graph of the function, where the vertex is the maximum point at (-5,4):

We can establish the quadratic function in vertex form:

g(x) = -(x + 5)^2 + 4

To find the value of g(-1):

Substitute -1 as the input of the function:

g(-1) = -(x + 5)^2 + 4

g(-1) = -(-1 + 5)^2 + 4

g(-1) = -(4)^2 + 4

g(-1) = -12



To find the value of g(-3):

Substitute -3 as the input of the function:

g(-3) = -(x + 5)^2 + 4

g(-3) = -(-3+ 5)^2 + 4

g(-3) = 0


To find the value of x when g(x) = 4:
Since your vertex is (-5, 4), in which the y-coordinate is 4, then its x-coordinate is -5.

Therefore, the value of x when g(x) = 4 is -5.

Please mark my answers as the Brainliest if you find my explanations helpful :)
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Determine if the two triangle are congruent. If they are, state how?​
Murrr4er [49]

Answer:

The triangles are congruent by SAS.

Step-by-step explanation:

The triangle have two congruent sides because it is given. The congruent angle is the angle at which they connect, these two angles are congruent because they are vertical angles.

5 0
2 years ago
The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff. What is the init
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Did you ever get this answer?? I really need it

4 0
3 years ago
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What is the value of the 4 in the number 17.884?<br>Write your answer as a fraction.​
ikadub [295]

Answer:

4/1000

Step-by-step explanation:

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6 0
3 years ago
The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a
lana [24]

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

6 0
1 year ago
Piper is driving on a long road trip. She currently has 11 gallons of gas in her car. Each hour that she drives, her car uses up
Fynjy0 [20]

Answer:

begins the trip with 14 gallons of gas in her car.

The car uses up one gallon of gas every 30 miles.

Let g represent the number of gallons of gas she has left in her tank, and let d

represent the total distance

Step-by-step explanation:d = 30(14 - g)

:

For example, if she uses two gallons, there will be 12 gal left in the tank; g=12

d = 30(14 - 12)

d = 30(2)

d = 60 mi  Here you go

5 0
2 years ago
Read 2 more answers
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