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Bingel [31]
2 years ago
8

You can perform 4 push-ups in 24 seconds. Write an equation that represents the relationship between time x and the number of pu

sh-ups y.
Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0
Y= 1/6x is the answer because 4/24 is 1/6
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The vertex of the parabola below is at the point (1,3), and the point (2,6) is
Inessa05 [86]

Answer:

B. y=3(x-1)2 + 3

Step-by-step explanation:

Given that

vertex of the parabola is at the point (1,3)

let's verify, if the option B is the correct equation of the parabola.

y=3(x-1)^2 + 3\\ \\y=3(x^2+1-2x) + 3\\\\y=3x^2+3-6x + 3\\\\y=3x^2-6x + 6....Eq1

comparing to standard equationof parabola (standard quadratic equation), we get

a=3, b=-6 and c=6

to find the vertex we use formula for x- coordinate as x=-b/2a

x=-(-6)/2(3)\\\\x=6/6\\x=1

to find y put x=1 in the Eq1, we get

y=3(1)^2-6(1)+6\\\\y=3-6+6\\\\y=3

vertex =(x,y) = (1, 3)

thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified

7 0
3 years ago
A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a
Alchen [17]

Answer:

a. 37

Step-by-step explanation:

Do 150 divided by 4 so you know how many tables there can be.

150/4

37.5       You can only have 37.5 tables so the awnser is A.37

3 0
3 years ago
$1,200 is deposited into an account with 4.5% simple interest. How much would it earn in interest after 3 years?
zalisa [80]

Answer:

$162

Step-by-step explanation:

$1200 x .045 = $54 x 3 years = $162

8 0
3 years ago
625÷5×6=x what is x​
pychu [463]

Answer:

750

Step-by-step explanation:

trust

7 0
3 years ago
For a given function ƒ(x) = x2 – x + 1, the operation –ƒ(x) = –(x2 – x + 1) will result in a
Mekhanik [1.2K]

Given:

The function is:

f(x)=x^2-x+1

To find:

The result of the operation -f(x)=-(x^2-x+1).

Solution:

If g(x)=-f(x), then the graph of f(x) is reflected across the x-axis to get the graph of g(x).

We have,

f(x)=x^2-x+1

The given operation is:

-f(x)=-(x^2-x+1)

So, it will result in a reflection across the x-axis.

Therefore, the correct option is A.

4 0
3 years ago
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