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3 years ago

Graph f(x)= -2x + 4. What is x when f(x) is -8?

Mathematics

2 answers:

yuradex [85]3 years ago

5 0

- 8 = - 2x + 4
2x = 12
x = 6

PSYCHO15rus [73]3 years ago

3 0

You only need to know two points to draw a line. So, just calculate any two points by assuming x to be any number.

You might be interested in

Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases fr

MakcuM [25]

Answer:

Increases 64 times

Step-by-step explanation:

The volume of the box can be calculated using formula

$V=l\cdot w\cdot h,$

where

V = volume,

l = length,

w = width,

h = height

If the length was 0.3 inches, then the volume was

$V_1=0.3\cdot w\cdot h=0.3wh$

When the length became 1.2 inches, then all dimensions became $1.2 :0.3 =4$ times greater, then the volume was

$V_2=1.2\cdot (4w)\cdot (4h)=19.2wh$

The volume increases

$\dfrac{V_2}{V_1}=\dfrac{1.92wh}{0.3wh}=64$ times

7 0

3 years ago

Complete the missing value in the solution to the equa 6x + 1 = y + 2x 3, Blank 1:

nadya68 [22]

Answer:

y = 4x +1

Step-by-step explanation:

6x + 1 = y + 2x

First you need to solve for y, so then you need to

1. Combine like terms

So since there isn't anything to combine we can more on.

2. Make Y by itself

You need to subtract the 2x from both side to get the answer

y = 4x +1

4 0

2 years ago

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago

The right triangle above with legs 7m and 3 m is inscribed in a circle. Find the circumference of the circle.

Eduardwww [97]

Answer:

23.9 m

Step-by-step explanation:

The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle. Using Pythagorean theorem:

c² = a² + b²

c² = 3² + 7²

c = √58

The circumference of the circle is pi times the diameter.

C = π√58

C ≈ 23.9

4 0

3 years ago

Simplify the expression 2(2-x)-3x

Nastasia [14]

First thing you should do is Distribute...
=(2)(2)+(2)(−x)+−3x
=4+−2x+−3x
Next is to Combine like terms..
=4+−2x+−3x
=(−2x+−3x)+(4)
Answer..
=−5x+4

Good luck with your studies~ ^//^

8 0

3 years ago