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3 years ago

Which of these is a correct statement about the function graphed below?

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

Step-by-step explanation:

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

3 years ago

The table below shows the ages of employees over 50 at a company and the amount of money they have in their retirement accounts.

sp2606 [1]

Answer:

Step-by-step explanation:

plot your graph and then you will see there is no line which shows there is a correlation. they're too scattered

4 0

4 years ago

Which graph represents the function y = -2cos(21x)?

xz_007 [3.2K]

Ur just messing around arent u "همانا " is literally a different language ._.

6 0

3 years ago

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed

vazorg [7]

-Answer:Option B: Increase the amount of money they save each month by $80 from what they've been saving.

Step-by-step explanation: Only option B will allow them to meet their goal.

7 0

2 years ago

Given: ΔPSQ, PS = SQ Perimeter of ΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ

Lana71 [14]

Answer:

120 units²

Step-by-step explanation:

Perimeter = PS + SQ + PQ

50 = SQ + SQ + (SQ -1)

51 = 3SQ

17 = SQ

17 -1 = 16 = PQ

The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...

h = √(17² -(16/2)²) = √225 = 15

Then the area is ...

A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units

8 0

3 years ago