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kari74 [83]
3 years ago
13

The equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

Value of a is 2      

Step-by-step explanation:

Given the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. we have to find the value of a.

As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.

∴  Point (2,1) satisfies the given equation.

Hence, we can find the value of a by putting the value of x and y, we get

1=a(2-3)^2-1

⇒ 2=a

Hence, the value of a is 2

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Val is going to plant y vegetable seeds in one garden 3y+5 vegetable seeds in another. Haw many seeds is val going to plant?
egoroff_w [7]

Answer:

4y+5 vegetable seeds.

Step-by-step explanation:

In order to find the total amount of vegetable seeds, you need to add y+3y+5.

You have to combine your like terms.

3y and y are like terms, so you add them to get 4y. 5 and 4y are not like terms, so you just write your expression as 4y+5.

Hope this helps!

5 0
3 years ago
How far up the house would a ladder be resting if it is 25 ft long and 3 ft
Lena [83]

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

6 0
3 years ago
You roll a six-sided die twice. What is the probability of rolling a 3 and then a 5? A) 1 3 B) 1 6 C) 1 12 D) 1 36
Molodets [167]

Answer:

D) 1/36

Step-by-step explanation:

You are trying to roll a 3 the first time, and then a 5 the second time. This means that order matters.

It is given to you, that you are rolling a standard die (6-sides). The dice is ordered in the following: 1, 2, 3, 4, 5, 6

The first time, you are rolling for a 3. Note that there is only one 3 in the sequence, so your chance of rolling a 3 is 1 out of 6: 1/6.

The second time, you are rolling for a 5. Note that there is only one 5 in the sequence, so your chance of rolling a 5 is 1 out of 6: 1/6.

Next, multiply the two fractions together to find the probability of rolling a 3 and then a 5:

1/6 x 1/6 = (1 x 1)/(6 x 6) = 1/36

D) 1/36 is your answer.

~

4 0
3 years ago
Read 2 more answers
Please help i need to turn it in
larisa [96]

Answer:

978 in

Step-by-step explanation:

(9x6)+(18x18)+(25x24)=978

4 0
3 years ago
Read 2 more answers
What is the area of sector?
Shtirlitz [24]

Answer:

a

Step-by-step explanation:

since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63

5 0
3 years ago
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