1. SPACE The Sun is about 10 10 million miles away from Earth. Write 10 10 using an exponent. Then find the value of the power. How many miles away is the Sun? 2. WEIGHT A 100-pound person on Earth would weigh about 4 4 4 4 pounds on Jupiter. Write 4 4 4 4 using an exponent. Then find the value of the power. How much would a 100-pound person weigh on Jupiter?

3. ELECTIONS In the year 2000, the governor of Washington, Gary Locke, received about 106 votes to win the election. Write this as a product. How many votes did Gary Locke receive?

4. SPACE The diameter of Mars is about 94 kilometers. Write 94 as a product. Then find the value of the product.

5. SPACE The length of one day on Venus is 35 Earth days. Express this exponent as a product. Then find the value of the product:

6. GEOGRAPHY The area of San Bernardino County, California, the largest county in the U. S., is about 39 square miles. Write this as a product. What is the area of San Bernardino County?

7. GEOMETRY The volume of the block shown can be found by multiplying the width, length, and height. Write the volume using an exponent. Find the volume. Height - 2 in.; Width - 2 in.; Length - 2 in.

8. SPACE A day on Jupiter lasts about 10 hours. Write a product and an exponent to show how many hours are in 10 Jupiter days. Then find the value of the power.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

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so

step-by-step explanation:

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x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

step-by-step explanation: