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RSB [31]
3 years ago
5

Suppose a parabola has vertex (-8, -7) and also passes through the point (-7,-4). Write the equation of the parabola invertex fo

rm
Mathematics
2 answers:
Dominik [7]3 years ago
7 0

Answer:

y = 3 (x+8)^2  -7

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a (x- -8)^2 + -7

y = a (x+8)^2  -7

Now substitute the point into the equation to determine a

-4 = a (-7+8)^2  -7

-4 = a (1^2) -7

-4 = a -7

Add 7 to each side

-4+7 = a-7+7

3 =a

y = 3 (x+8)^2  -7

Anon25 [30]3 years ago
6 0

Answer:

y = 3(x + 8)² - 7

Step-by-step explanation:

y = a(x - -8)² - 7

y = a(x + 8)² - 7

-4 = a(-7 + 8)² - 7

3 = a

y = 3(x + 8)² - 7

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You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the ba
Rashid [163]

Answer:

Tip $6

Total Amount $36

Step-by-step explanation:

20% of $30 is 6

$30 + $6 = 36

7 0
3 years ago
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters
olga55 [171]

Answer:

\frac{3}{2} g/cm²

Step-by-step explanation:

First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3

B = 100 cm²

h = 6 cm

V = 100 cm² * 6 cm /3

V = 600 cm³ /3

V = 200 cm³

Next, we need to solve for the density based on the desired volume and mass.

m = mass = 300 g

V = volume

density = m/V

density = 300 g / 200 cm³

density = 3/2 g/cm³

The lowest possible density of the material to make the paperweight would be \frac{3}{2} g/cm²

4 0
3 years ago
Whoever gets this correct first gets brainlest!!
nika2105 [10]

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

4 0
3 years ago
Does anyone know a fraction equation that equals 13?
taurus [48]

Answer:

11 1/2 + 1 1/2 = 13

Step-by-step explanation:

11+1=12

1/2+ 1/2 =1

12+1= 13

7 0
3 years ago
Read 2 more answers
A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
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