All categories

3 years ago

Which graph represents the solution set for -4(1-x)<_-12 +2

Mathematics

1 answer:

Alja [10]3 years ago

8 0

Answer:

-4(1-x) 《 -12 +2

-4 + 4x 《 -12 + 2

4x 《 -10 + 4

4x 《 -6

x 《 -1.5

It's the region towards left of the vertical line x = -1.5

The line should be bold because it's included

You might be interested in

Find the quotient.<br> thank you

Leokris [45]

The quotient of 5 1/4 and 3/16 is 28

4 0

2 years ago

Read 2 more answers

Help me ASAP I’ll mark you as a BL Question attached below

mojhsa [17]

Answer:

I think it might be A if not then its be

Step-by-step explanation:

sorry if its not right

8 0

2 years ago

The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

2 years ago

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to

VikaD [51]

Answer:

y = 6x + 9

Step-by-step explanation:

The equation of a line in slope- interceot form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 12y = - 1 into this form

Subtract 2x from both sides

12y = - 2x - 1 ( divide all terms by 12 )

y = - $\frac{1}{6}$ x - $\frac{1}{12}$ ← in slope- intercept form

with slope m = - $\frac{1}{6}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{6} }$ = 6

Note the line passes through (0, 9) on the y- axis ⇒ c = 9

y = 6x + 9 ← equation of perpendicular line

3 0

2 years ago

Read 2 more answers

Car rentals involve a $130 flat fee and an additional cost of $31.67 a day. what is the maximum number of days you can rent a ca

Vladimir79 [104]

Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
130 + 31.67x ≤ 500

Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days.

6 0

2 years ago

Read 2 more answers