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son4ous [18]
3 years ago
15

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0
f(x) = a(x+5)^2-1

2 = a(-2+5)^2-1 \\ 9a = 3 \\ a = 3

f(x) = 3(x+5)^2-1
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14. Solve: 3x² + 5x – 12 = 0<br>B. 4-3<br>C. 8, - 18​
VARVARA [1.3K]

Answer:

b

Step-by-step explanation:

The equation:

3

x

2

−

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x

−

12

=

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is in the form:

a

x

2

+

b

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with  

a

=

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c

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−

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The roots are given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

x

=

5

±

√

(

−

5

)

2

−

4

(

3

)

(

−

12

)

2

(

3

)

x

=

5

±

√

25

+

144

6

x

=

5

±

√

169

6

x

=

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±

13

6

That is:

x

=

5

+

13

6

=

18

6

=

3

 

or  

 

x

=

5

−

13

6

=

−

8

6

=

−

4

3

7 0
3 years ago
Find the value of X <br> WILL MARK BRAINLIEST IF CORRECT!
goldfiish [28.3K]

Answer:

x = 52

Step-by-step explanation:

This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.

(x - 12) + 50 = 90

1. Subtract 50 from both sides of the equation.

(x - 12) = 40

2. Add 12 from both sides of the equation

x = 52

The value of x is 52.

3 0
2 years ago
Read 2 more answers
The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46
Nina [5.8K]

Answer:

C

Step-by-step explanation:

Its C

3 0
3 years ago
At the car show Inez saw a truck wheel shaped like a circle with a radius of 3 ft. She wants to know the area of the truck wheel
Nadusha1986 [10]

Answer:

28.27ft^2

Step-by-step explanation:

To solve this problem, we can use the area of a circle formula:

A=\pi r^2

<em>A = area</em>

<em>r = radius</em>

Lets plug the values into the equation:

A=\pi (3^2)     Calculate 3^2

A=\pi (9)       Multiply \pi and 9 together

A=28.27

The area of the truck wheel is 28.27ft^2

3 0
2 years ago
-5^2 + (-15) ÷ (-3) + 20 Solve using PEMDAS showing work
oee [108]
In PEMDAS, there is no parentheses in this equation, so we move on to exponents.

-5^2 is 25
Now, we divide -15/-3 then we get 5
Next, we do -3+20=17
25+5+17 would be 47

Your answer should be 47!
Hope this helps (:
5 0
3 years ago
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