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lana [24]
3 years ago
8

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

Mathematics
2 answers:
Nataliya [291]3 years ago
8 0
Are u solving for x? And is the “x2” x to the power of 2 or is it 2x
mafiozo [28]3 years ago
7 0
X = 3 or x = 4

Given
x² + 12 = 7x ( subtract 7x from both sides )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero ( zero product property ) and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
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Answer: The slope of the line is \frac{1}{2}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

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

Then, given the points (-3, 5) and (1, 7), you can identify that:

y_2=5\\y_1=7\\\\x_2=-3\\x_1=1

Knowing these values you can substitute them into the formula for calculate the slope:

m=\frac{5-7}{-3-1}

Finally, evaluating, you get that the slope of that line is:

m=\frac{-2}{-4}\\\\m=\frac{1}{2}

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3 years ago
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3 years ago
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4<br> from my math book
liberstina [14]

Answer:

x = 1

Step-by-step explanation:

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4

2x+12-8x = (6x+6)/6 +4

-6x + 12 = x+1+4

12-5 = 7x

7x = 7

x=1

Hope this helps!

4 0
2 years ago
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Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0
erastova [34]

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

15x^2-kx+1=0           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}

Then, the roots of the equation (1) are

D) 1/5 e 1/3

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Answer:

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Step-by-step explanation:

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