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3 years ago

9

One computer has a mass 0.8 and another has a mass of 800 grams compare the masses of the computer.use > < = to make a tru

e statement

1 answer:

Artyom0805 [142]3 years ago

4 0

Since 800 is greater than 0.8 your statement would be 800>0.8

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Determine if the rates $24 for six hours of work and $36 for eight hours of work are equivalent

Natali [406]

The rates are not equivalent; 24/6 is less than the rate 36/8.

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3 years ago

After 34 of a minute a sloth has moved just 38 of a foot. What is the sloth's speed in feet per minute?

Elina [12.6K]

Answer:

Speed = 0.895 feet per minute

Step-by-step explanation:

Distance covered by the sloth = 38 of a foot

= $\frac{1}{38}$ foot

Time taken to move this distance = 34 of a minute

= $\frac{1}{34}$ minute

Since, formula for the speed is,

Speed = $\frac{\text{Distance covered}}{\text{Time taken}}$

= $\frac{\frac{1}{38}}{\frac{1}{34}}$

= $\frac{1}{38}\times \frac{34}{1}$

= $\frac{17}{19}$

= 0.895 feet per minute

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3 years ago

Analyze the graph of the function f(x) to complete the statement.

Burka [1]

The function f(x) is less than 0 at x < -1.8

<h3>How to analyze the graph?</h3>

The missing graph is added as an attachment

The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.

This in other words, represent the negative y-axis

From the attached graph, the function f(x) is less than 0 at x < -1.8.

This extends till x = infinity

Hence, the function f(x) is less than 0 at x < -1.8

Read more about function interval at:

brainly.com/question/27831985

#SPJ1

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2 years ago

What is the factored form of -14a2b6+16a6

Eduardwww [97]

$-14a^2b^6+16a^6 \\ =2a^2(-7b^6+8a^4)$

8 0

3 years ago

1. Solve this quadratic by factoring

cestrela7 [59]

ANSWER #1:

x = -1.666666667

x = 0.5

STEP-BY-STEP:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

(-5 + -3x)(1 + -2x) = 0

SUBPROBLEM 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying

-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -3x = 0 + 5

Combine like terms:

0 + -3x = 0 + 5

-3x = 0 + 5

Combine like terms:

-3x = 5

Divide each side by '-3'.

x = -1.666666667

Simplifying

x = -1.666666667

SUBPROBLEM 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Move all x terms to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms:

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms:

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

ANSWER #2:

x = -7

x = 2

STEP-BY-STEP:

Simplifying

x2 + 5x + -14 = 0

Reorder the terms:

-14 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-7 + -1x)(2 + -1x) = 0

SUBPROBLEM 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms:

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms:

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

SUBPROBLEM 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '-2' to each side

2 + -2 + -1x = 0 + -2

Combine like terms:

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms:

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

ANSWER #3:

x = 3.25

x = -0.92

STEP-BY-STEP

Simplifying

3x2 + -7x + -9 = 0

Reorder the terms:

-9 + -7x + 3x2 = 0

Solving for variable 'x'.

Divide each side by '3'.

-3 + -2.333333333x + x2 = 0

Add '3' to each side

-3 + -2.333333333x + 3 + x2 = 0 + 3

Reorder the terms:

-3 + 3 + -2.333333333x + x2 = 0 + 3

Combine like terms:

0 + -2.333333333x + x2 = 0 + 3

-2.333333333x + x2 = 0 + 3

Combine like terms:

-2.333333333x + x2 = 3

The x term is -2.333333333x. Take half its coefficient (-1.166666667).

Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side

-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112

Reorder the terms:

1.361111112 + -2.333333333x + x2 = 3 + 1.361111112

Combine like terms:

1.361111112 + -2.333333333x + x2 = 4.361111112

Factor a perfect square on the left side:

(x + -1.166666667)(x + -1.166666667) = 4.361111112

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting

(x + -1.166666667) equal to 2.088327348 and -2.088327348.

SUBPROBLEM 1

x + -1.166666667 = 2.088327348

Simplifying

x + -1.166666667 = 2.088327348

Reorder the terms:

-1.166666667 + x = 2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side

Combine like terms:

0.000000000 + x = 2.088327348 + 1.166666667

x = 2.088327348 + 1.166666667

Combine like terms:

2.088327348 + 1.166666667 = 3.254994015

Simplifying

x = 3.254994015

SUBPROBLEM 2

x + -1.166666667 = -2.088327348

Simplifying

x + -1.166666667 = -2.088327348

Reorder the terms:

-1.166666667 + x = -2.088327348

Solving

-1.166666667 + x = -2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.

-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000

0.000000000 + x = -2.088327348 + 1.166666667

x = -2.088327348 + 1.166666667

Combine like terms: -2.088327348 + 1.166666667 = -0.921660681

x = -0.921660681

Simplifying

x = -0.921660681

ANSWER #4:

x = -5

x = 5

STEP-BY-STEP:

Simplifying

x2 + -25 = 0

Reorder the terms:

-25 + x2 = 0

Solving

-25 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side

-25 + 25 + x2 = 0 + 25

Combine like terms: -25 + 25 = 0

0 + x2 = 0 + 25

x2 = 0 + 25

Combine like terms: 0 + 25 = 25

x2 = 25

Simplifying

x2 = 25

Take the square root of each side:

x = {-5, 5}

6 0

3 years ago