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Oduvanchick [21]
3 years ago
9

Write a quadratic function in vertex form whose graph has the vertex (-2, - 13) and passes

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

<h2>          f(x) = ⁵/₈(x+2)² - 13</h2>

Step-by-step explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find <em>a</em> we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13

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Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 ever
Jlenok [28]
First option:
y=money saved
x=number of months

y=30x+500

Second option:

y=50x+200

We have this system of equations:

y=30x+500
y=50x+200

We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15

so;
y=30x+500
y=30(15)+500
y=450+500
y=950

Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950. 
3 0
3 years ago
The total number of eggs in k cartons where each carton contains n eggs. Write this as an expression.
Liula [17]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

It makes more sense if you think about it in numerical terms.

Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?

You would multiply them

It is the same in this case

The expression would be n x k

It can be written as just nk though

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4 0
3 years ago
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nasty-shy [4]
I honestly don’t know I’m just trying to get my question answered
7 0
3 years ago
Solve for X<br> Please walk me through the steps, I understand most of it I just forgot how to do it
nadya68 [22]

Answer:

x=8

Step-by-step explanation:

first you need to find the unknown corner so you do 180-71= 109

then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360

then set everything equal to 360:

10x+6+13x-2+8x-1+109=360

(combine like terms)

31x+112=360

(subtract 112 form both sides)

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(divide both sides by 31)

x=8

8 0
3 years ago
What is 12-(-3)-2(4)
Ad libitum [116K]

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

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4 0
3 years ago
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