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N76 [4]
3 years ago
15

PLEASE HELP IMMEDIATELY I HAVE WAITED ALL DAY AND NO RESPONSE SO IM POSTING AGAIN

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
Using the form y=a(x-h)²+k

We can look at the vertex (-3,-2) which gives us the values of h,k

h=3, k=-2

Thus y=a(x+3)²-2

Then we can solve for a using any point on the line
- I'll use (-4,-1)

Insert the values of x,y into  y=a(x+3)²-2 
--> x=-4, y=-1

y=a(x+3)²-2
-1=a(-4+3)²-2
-1=a(-1)²-2
a-2=-1
a=-1+2
a=1

Insert the value of a
y=1(x+3)²-2
  = (x+3)²-2

Thus y=(x+3)²-2 is the final equation in standard form
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Given 4x - y = 32, find:<br> a.) x-intercept<br> b.) y-intercept<br> c.) slope
Rashid [163]
You always want to get y by itself and in the form y = mx + b. So first, subtract 4x from both sides to get -y = -4x +32
You also want to get rid of that negative sign. That’s easy, divide everything by negative 1 to get:
y = 4x - 32

We can see the slope is just 4 and the y intercept is -32. The y-intercept is when x equals zero, you’ll get -32 if you do so. The x-intercept is now when y equals zero. Now solve for x. You get 4x = 32, divide by 4 to get 8

a.) 8
b.) -32
c.) 4
8 0
3 years ago
The intercepts of the equation x^2 + 4y^2 = 16 are ___<br> PLEASE HELP
Eva8 [605]
Yintercepts are where x=0
set to zero to solve

0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2

xintercept is where y=0

x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4

yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)
3 0
4 years ago
ivan pays an $8 monthly service fee so he can rent movies for $1.50 each and games for 3.00 each. Last month, Ivan rented 6 movi
mr_godi [17]

Answer:

Expression: 8 + m(1.5) + g(3)

Result: 32

Step-by-step explanation:

Let m represent the number of movies and g represent the number of games Ivan rent, then total amount he spent is

8 + m(1.5) + g(3)  

Since he rented 6 movies and 5 games

→ 8 + 6(1.5) + 5(3)

→ 8 + 9 + 15

→ 32

4 0
3 years ago
Read 2 more answers
Which is the graph of the equation y-1=2/3(x-3)
lisov135 [29]

Step-by-step explanation:

Multiply 2/3 by (x-3) to get 2/3x -3.

Then subtract -1 on the y side to the right side compair like terms.

5 0
4 years ago
Read 2 more answers
Find the coordinates of the point <br> 3/10 of the way from A to B.
meriva
The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
= 1.2.
Vertical distance = 3/10 * 12 = 3.6
So the y coordinate = -5+ 3.6
= -1.4.
Answer is (1.2, -1.4)
4 0
2 years ago
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