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3 years ago

Solve 3(x + 2) > x.

1 answer:

5 0

3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
(When dividing by a negative, reverse the direction of the inequality side, reverse it EVERY time you divide by a negative)

ANSWER: -3 < x

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Your friend spends 3+4x minutes lifting weights and 9x+5 running a treadmill. Write a polynomial that represents how much time i

rusak2 [61]

Answer:

$Polynomial = 5x+ 2$

Step-by-step explanation:

Given

$Weights = 3 + 4x$

$Treadmill = 9x + 5$

Required

Polynomial that represents time spent running treadmill than weight lifting

To do this, we simply subtract weights from treadmill

i.e.

$Polynomial = Treadmill - Weights$

$Polynomial = 9x + 5 - (3 + 4x)$

$Polynomial = 9x + 5 - 3 - 4x$

$Polynomial = 9x - 4x+ 5 - 3$

$Polynomial = 5x+ 2$

6 0

3 years ago

Sue earns $1,200 per week as a computer operator. Her husband Jim earns $2,000 per week working as a teacher. What are Sue’s mon

iVinArrow [24]

Answer:

4800

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A rectangle has a perimeter of 68 inches it’s length is 2 inches less than 3 times the width what is the area of the rectangle

Kruka [31]

Answer:

225 inches²

Step-by-step explanation:

Let the length be l and width be w

Condition 1

2l+2w=68 (Perimeter=68)--------(i)

Condition 2

l=3w-2 ---------(ii)

Putting equation (ii) in (i)

2(3w-2)+2w=68

6w-4+2w=68

8w-4=68

8w=68+4

8w=72

dividing both sides by 8

w=9 inches

now putting w=9 in (ii)

l=3(9)-2

l=27-2

l=25 inches

Now

Area of rectangle = l × w

=9 × 25

=225 inches²

4 0

3 years ago

Write an exponential function for the value, y, after x years

Anon25 [30]

Step-by-step explanation:

<u>Step 1: Set x equal to 0 to find the y-int</u>

$y = 10000(1 - 0.40)$ → Not an exponential equation

$y=10000(1-0.40)^0$ → 10,000 → Works for first test

$y = 10000(1-0.60)^0$ → 10,000 → Works for first test

$y = 10000(1+0.40)^0$ → 10,000 → Works for first test

<u>Step 2: Set x equal to 1</u>

$y=10000(1-0.40)^1$ → 6,000 → Works for second test

$y = 10000(1-0.60)^1$ → 4,000 → Does not work for the second test

$y = 10000(1+0.40)^1$ → 14,000 → Does not work for the second test

Answer: The answer is Option B

4 0

4 years ago

What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?

Sergeeva-Olga [200]

Answer:

y = -2x + 3

Step-by-step explanation:

The given equation is:

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

First we need to find the slope of the tangent line. This can be done by finding the derivative of the given function.

$f'(x)=2x-2$

Slope of the tangent will be the value of the derivative at the given point. So the slope of tangent is:

$f'(0)=2(0)-2=-2$

Now we have slope of the tangent line and a point (0, 3) on the tangent. The point (0,3) is the y-intercept of the tangent line. So we can use slope-intercept form to directly write the equation of the line.

The slope intercept form of an equation is:

y = mx + c

where m is the slope and c is the y-intercept.

Using the values: m = -2 and c = 3, we get:

y = -2x + 3

This equation represents the tangent line

8 0

4 years ago