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bagirrra123 [75]
3 years ago
15

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer

1/2 and -4/3

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

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
3x-2+5x=-4x+5-2x solve
marysya [2.9K]

Hey there!!

Given equation :

... 3x - 2 + 5x = 4x + 5 - 2x

Combining like terms :

... 8x - 2 = 2x - 5

Subtracting 2x on both sides :

... 6x - 2 = - 5

Adding 2 on both sides :

... 6x = - 3

Dividing by 6 on both sides :

... x = -1/2 = -0.5

Hence, the answer is -0.5

Hope my answer helps!

8 0
3 years ago
Read 2 more answers
PLEASE HELP What is the x value??
Mrrafil [7]

Answer:

9

Step-by-step explanation:

21^2-19^2=80

sqaure root of 80 to the nearest 10th is

6 0
2 years ago
Find the slope and y intercept
Katena32 [7]
Y int = (0,12)
Bc the y intercept is when X = 0

Slope =
(18-15)/(4-2) =
3/2
7 0
4 years ago
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Work out length AC.
Yuki888 [10]

Answer: \sqrt{105}

Step-by-step explanation:

As a result of the pythagorean theorem we can say that a^2+b^2=c^2

In this case, we have bc and ab missing side ac. So the equation looks something like this 4^{2}+ac^{2} =11^2

dont get confused by the ac in the problem i only wrote it like that because ac is the length representation. So 16+ac^2=121 and with algebra we can solve to ac^2=105 or side ac=\sqrt{105}

5 0
3 years ago
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