3 less the the opposite of the quotient of 10 and -5

Answers

Answer 1

Answer: The quotient of 10 and -5 is 10 /-5 = -2.

Opposite of that, opposite of - 2 is -(-2) = 2.

3 less than 2 is 2 - 3 = -1.

So the answer is -1.

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The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 2 represent?

Answers

The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 2 represent?
The population after six weeks
The starting population
The rate the population increases.
The number of weeks that have passed.

10e + 3 < 92

Please reply quickly and explain. I'm having trouble understanding.

Answers

Answer:

10E+3 <92

10(e:6) or any number

10(6)=60+3=63 <92

Step-by-step explanation:

Answer:

10e + 3 < 92

Step-by-step explanation:

Any number times ten plus three is less than 92. Like e = 3, which would be 10(3)+3, or 33. Any number that would make the statement true can be used in the place of e.

Whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer:

2(x -2)² = 0

Step-by-step explanation:

2(x² - 4x - 4) = 0

2(x -2)² = 0

x = 2

Answer:

$2(3x-2)(x+2)=6x^2-8x-8$

The factored form of $6x^2-8x-8=0$ is $2(3x-2)(x+2)=0$

Step-by-step explanation:

$6x^2-8x-8=0$

The way the quadratic equation was given, we can't have a factored form in the format: $(ax-b)(cx+d)$

First, divide both sides by 2

$3x^2-4x-4=0$

Now, it is about thinking. From the equation, we will get something in the format: $(ax-b)(cx+d)$

Let's expand this: $(ax-b)(cx+d) = acx^2+adx-bcx-bd$

From here, we can give some values for those variables, based on the quadratic equation $3x^2-4x-4=0$ :

$(3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}$

Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.

$(3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}$

Therefore,

$(3x-2)(x+2)=3x^2-4x-4$

But we are not ready yet!

This is the factored form of $3x^2-4x-4=0$ , to get the factored form of the problem equation, just multiply the factored form we got by 2.

$2(3x-2)(x+2)=6x^2-8x-8$

A group of 18 people ordered soup and sandwiches for lunch .each person in the group had either one soup or one sandwich.the sandwhiches cost $7.75 each and the soups cost $4.50 each.if the cost of all 18 lunches was $113.50 ,how many sandwhiches were ordered?

Answers

$7.75 * 10 = $77.50
$4.50 * 8 = $36.00

$77.50 + $36.00 = $113.50

= 10 sandwiches

Sketch the angle in standard position -95

Answers

Sketching the angle at standard position starts at Quadrant I. Imagine a cartesian plane, Quadrant I is located where x and y values are positive.

So the angle 0 is at the positive y-axis position; 90 degrees is at positive x-axis.
Sketching positive angles starts from positive y-axis counterclockwise.
Sketching negative angles stars from positive y-axis clockwise.

The question asked for the -95 degrees, the it is located at Quadrant III.

What is the factored form of x^3-1?