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Citrus2011 [14]
3 years ago
15

Practice Problems

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0
15 red marbles
12 green marbles
15+12 = 27 marbles in total
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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

so

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  

so

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

so

x=3, x=5

therefore

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

4 0
3 years ago
Use special right triangles.<br> Find the exact value of x and y.<br> 18<br> 30°<br> X = ?<br> y = ?
spin [16.1K]

Answer:

Step-by-step explanation:

j

8 0
2 years ago
Read 2 more answers
Kaylee found the surface area, in square inches of a rectangular prism by using formula. 2(5×3)+2(5×8)+2(3×8) What is the surfac
sladkih [1.3K]

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer:  158

6 0
3 years ago
PLEASE HELP! Will mark Brainliest!
arlik [135]
Circle A would make more sense (I'm not exactly sure) because it shows the entire circle (if you know what I mean).
7 0
3 years ago
Read 2 more answers
The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with
Sidana [21]

Answer:

(a) y = 6250x +17850 --- The function

(b) y = 49100 --- The salary in 5 years

Step-by-step explanation:

Given

y = 1250x + 22850

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{36600 - 24100}{3 - 1}

m = \frac{12500}{2}

m = 6250

The function is then calculated as:

y = m(x - x_1) + y_1

y = 6250(x - 1) + 24100

y = 6250x - 6250 + 24100

y = 6250x +17850

Solving (b): Salary in 5 years

Here:

x = 5

So:

y = 6250x +17850

y = 6250*5 +17850

y = 49100

8 0
3 years ago
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