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Naya [18.7K]
3 years ago
15

Which of the following is not a way to build on your strength

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

only participating in sports you are good at

Step-by-step explanation:

I think This is right. Hope it helps!

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What is the exact distance from (-5, 1) to (3,0)?
Vlada [557]
Distance is calculated by the square root of (x2-x1)^2 + (y2-y1)^2

We simply substitute the values into this formula

Square root of (3--5)^2 + (0-1)^2

Which is 8
8 0
3 years ago
Antoine works in a restaurant and he is paid his regular hourly rate of 40 hours a week and time and a half for all hours over 4
Inessa05 [86]
560+ 147= 707

14(40)= 560
14+ 14(1/2)=21
21(7)= 147
6 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
4 years ago
Wei has already saved $1,220 for college. She expects the total cost of her first year to be $9,850, and she expects to receive
Kruka [31]

Answer: she needs to save $6510

Step-by-step explanation:

In the first year, she expects her total cost to be $9,850. Wei has already saved $1,220 for college. This means that the remaining amount that she needs would be

9850 - 1220 = $8630

she expects to receive grants and scholarships that total $2,120. Therefore, the amount of money that she should save to be able to pay for her first year of college would be 8630 - 2120 = $6510

8 0
3 years ago
Read 2 more answers
The number (6) is what type<br>of number?​
NNADVOKAT [17]

Answer:

even?

Step-by-step explanation:

I dont really get it

4 0
3 years ago
Read 2 more answers
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