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3 years ago

8

I will like to know how to solve this

1 answer:

Olenka [21]3 years ago

6 0

x = 2

Collect terms in x to one side of the equation and numeric values on the other side.

1 + 4x = - 5 + 7x ( subtract 7x from both sides )

1 + 4x - 7x = - 5

1 - 3x = - 5 ( subtract 1 from both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = $\frac{- 6}{- 3}$ = 2

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The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

6 0

3 years ago

Find the value of each variable

nydimaria [60]

Answer:

m=120and k =60 hgfdfghjjh

3 0

2 years ago

What is the simplified form of the ninth root of x times the ninth root of x times the ninth root of x times the ninth root of x

Ksivusya [100]

Since you are working with exponents and roots you would add the exponents together. The ninth root of x is equal to x^(1/9) and since you are using it four times your answer would be x^(4/9).

6 0

3 years ago

Read 2 more answers

F(x) = -3x² - 2x<br><br> how to find f (8)

SSSSS [86.1K]

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

= -192 - 16

= -208

8 will be your x value since it's implied within the question itself.

6 0

2 years ago

Read 2 more answers

PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

stiks02 [169]

Answer:

$31\:\text{square units}$

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by $A=\frac{1}{2}bh$ and the area of a trapezoid is given by $A=\frac{b_1+b_2}{2}\cdot h$ (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): $\frac{1}{2}\cdot 4\cdot 4=8$

Area of second triangle (smaller triangle to the figure's right ): $\frac{1}{2}\cdot 2\cdot 5=5$

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): $4\cdot 2 =8$

Area of first triangle (larger triangle to the figure's left): $5\cdot 2=10$

Thus, the area of the entire figure is:

$8+5+8+10=\boxed{31\:\mathrm{units^2}}$

6 0

2 years ago