Create and evaluate an expression that shows "the quotient of eight raised to the power of two and four, decreased by six."

Find an equation for the line with the given properties. Express the equation in slope-intercept form.

EleoNora [17]

Answer:

y = 3x - 19

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (5, -4)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-4 = 3(5) + b

-4 = 15 + b

b = -19

Step 4: Write linear equation

y = 3x - 19

8 0

3 years ago

A pencil and a ruler cost 2.50 together. The ruler costs $1.00 more than the pencil. How much is the pencil

Alenkasestr [34]

P + r = 2.50
r = p + 1

p + p + 1 = 2.50
2p + 1 = 2.50
2p = 2.50 - 1
2p = 1.50
p = 1.50/2
p = 0.75 <=== pencil cost 75 cents

r = p + 1
r = 0.75 + 1
r = 1.75 .....ruler cost 1.75

6 0

3 years ago

Read 2 more answers

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar

mafiozo [28]

Answer:

$Ratio = \frac{R^2 - r^2 }{ r^2}$

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

$Area = \frac{\theta}{360}\pi r^2$

For the inner circle

$r \to radius$

The sector of the inner circle has the following area

$A_1 = \frac{\theta}{360}\pi r^2$

For the whole circle

$R \to Radius$

The sector of the outer sector has the following area

$A_2 = \frac{\theta}{360}\pi (R^2 - r^2)$

So, the ratio of the outer sector to the inner sector is:

$Ratio = A_2 : A_1$

$Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2$

Cancel out common factor

$Ratio = R^2 - r^2 : r^2$

Express as fraction

$Ratio = \frac{R^2 - r^2 }{ r^2}$

6 0

3 years ago

2 plus 2 is__________________________________

Nina [5.8K]

Answer:

My boy or girl everyone know that its 4

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help me please!!! I give more points and brainliast please help me!

fiasKO [112]

Hey there!!

Fill in the blanks :-

⇒ First graph the line. Locate the value of x on the x-axis. Draw a vertical line from point plotted on the x-axis to the graph of the function and a horizontal line segment from the graph of the function to the y-axis.

Find the value of f(x) when x is -2.

$f(x) = \frac{3}{2}x-4$

Remember :- f(x) is basically the y-value. It is just denoted as _f(x), it stands for function of x. Which means, the value of y, depends upon the value of x or the function of x.

Given : x = - 2

Plugging in the values :

... $f(-2) = \frac{3*(-2)}{2}-4$

... $f(-2) = \frac{-3}{1} - 4$

... $f(-2) = -7$

The last fill in the blank :

The value of y on the y-axis is the value of the function. Therefore, the value of f(x) is -7 when x is -2.

Hope it helps!!

7 0

4 years ago