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Alchen [17]
3 years ago
12

The vertex of a parabola is (-1.5, -12.5), and its y-intercept is (0, -8)

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
Best to find the equation of the parabola first:

Its equation is y+12.5 = (x+1.5)^2, or y = -12.5 + (x+1.5)^2

Check the first possible x-intercept:  let x = -2.  Does y come out to 0?

y = -12.5 + (-0.5)^2  =  -12.5 + 0.25.  This is not equal to 0, so (-2,0) is not an x-intercept of this parabola.  Continue checking each possible x-intercept until you find the right one (or ones).
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How is a 15% discount similar to a 15% decrease? Explain.
andrey2020 [161]
They are the same. Example: If something costs 100$ and you found a coupon to get a 15% discount you will save: 15$ and your cost will be 100$-15$=85$ Hope this helped! Have a great day!

7 0
3 years ago
Read 2 more answers
To gain a pass a student needs to achieve a mean of at least 60% in eight tests. In the first seven
Tanzania [10]

Step-by-step explanation:

the mean value is the sum of all data points divided by the number of data points.

first we have 7 tests and their mean value :

(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54

that means

(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378

in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480

because only then we have

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60

and the student passes.

so,

(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480

378 + t8 = 480

t8 = 480 - 378 = 102%

the student would have to achieve 102% on the 8th test.

which would be normally impossible, but maybe the tests involve some bonus points.

6 0
2 years ago
The absolute value of a negative integer
mezya [45]
The absolute value of a negative integer is the positive number of the same integer. I hope that made sense.
5 0
3 years ago
The hypotenuse of a right triangle has length 50 cm. One leg has length 20 cm. The nearest tenth, what is the length of the othe
Fantom [35]

Answer:

45.8 cm

Step-by-step explanation:

Let the length of other leg be l

By pythagoras theorem,

l \:  =  \sqrt{ {50}^{2} -  {20}^{2}  }  \\ l \:  = 45.8cm

6 0
3 years ago
Help please i really really really need it.....
ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

-4s - 6j = -300

Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

-----------------------------add

-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

3 0
3 years ago
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