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3 years ago

F(x)=2x -7, What is x when f(x)=-15?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

Answer:

x = -4

Step-by-step explanation:

Plug in -15 into the equation:

f(x) = 2x - 7

-15 = 2x - 7

Solve for x:

-15 = 2x - 7

-8 = 2x

-4 = x

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Water erupting from geyser can reach a temperature of 244 F . The average temperature in Yellowstone National Park is 35F . Use

stiv31 [10]

Difference means subtraction , 244 - 35 = 209
I forgot how to do this problem it was 63 years ago

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4 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

How do i solve this ? <img src="https://tex.z-dn.net/?f=5y%20-%202y%20%3D%2010%20%5C%5C%20" id="TexFormula1" title="5y - 2y =

Scorpion4ik [409]

Answer:

Step-by-step explanation:

5y - 2y = 10

3y = 10

y = 10/3 = 3⅓

3 0

2 years ago

What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles?

gayaneshka [121]

The algebra tiles show two equal factors. They are (x + 4).

Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).

That is (x + 4)^2.

Then develop that perfect square to find the constant term.

(x + 4)^2 = x^2 + 8x + 16.

That means that the constant term needed to complete the trinomial is 16.

Answer: 16

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3 years ago

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I think the answer is:
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