"-12<-3x-15" less than or equal to 36

Answers

Answer 1

Answer:

-17 ≤ x < 1

Step-by-step explanation:

-12 < -3x - 15 ≤ 36

Add 15 to all 3 "sides."

-12 + 15 < -3x - 15 + 15 ≤ 36 + 15

3 < -3x ≤ 51

Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.

3/(-3) > -3x/(-3) ≥ 51/(-3)

-1 > x ≥ -17

Rewrite in standard order.

-17 ≤ x < 1


Related Questions

need help asappppppp ​

Answers

Answer:

hypotenuse

Step-by-step explanation:

Answer:

I believe it is D hypotenuse

Step-by-step explanation:

In geometry, a hypotenuse is the longest side of a right-angled triangle.

i need help please i dont get this

Answers

Answer:

  See attached

Step-by-step explanation:

You want the solution to the inequality -12x < -48 shown on a number line.

Solution

The solution to the inequality is found by dividing by the x-coefficient

  -12x < -48

  x > 4 . . . . . . . divide by -12

When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.

Graph

The value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.

The graph of the solution is shown in the attachment.

__

Additional comment

Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...

  48 < 12x

Now, you can divide by 12 without worrying about the inequality symbol:

  4 < x . . . . . same as above

find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4

Answers

Answer:

r=3

Step-by-step explanation:

use slope formula : y2-y1 / x2-x1

-5-3 / r-5

the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4

so r-5 = -2

3-5 = -2

odd function f(x) is defined for all real values of x. for the function g(x)=2.3+f(x-9), calculate g(6)+g(8)+g(10)+h(12).

Answers

Answer:

easy theanswer is -14x

Step-by-step explanation:

HELP I have been stuck on this problem for a bit now

Answers

Answer:

16

Step-by-step explanation:

72/2 = 36

Square root of 36 is 6; 6 x 2 = 12

square root of 4 is 2 and 2^2 equals 4.

12 +4 =16

Mark me brainliest please

Answer:

16

Step-by-step explanation:

72/2=36

square root 36=6

6*2=12

root4 squared is 4

12+4=16

Hope that helps :)

ANSWER ASAP FOR POINTS AND BRAINIEST!!

Answers

Answer:

(a) 552ft

(b) $220.8

Step-by-step explanation:

(a) TSA of cuboid = 2 (lb + bh + hl)

                        = 2 (12*8+8*9+9*12) = 2 ( 276) = 552 square feet.

(b) Cost of covering the box = $0.40 * 552 feet

                                          = $220.8

Find the slope of the line.

Answers

the slope is -2. since the line is going downward it’s going to be negative so you go down 2 and over 1 to get to the next point, making the slope -2/1 or just -2.

Round 0.12406667 to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

0.124

solve for x
give an exact answer

Answers

Answer:

x = -1

Step-by-step explanation:

0.5(5-7x)=8-(4x+6)       note.......0.5   = 1/2

(1/2) ( 5 - 7x)  = 8 - 4x - 6

(1/2) (5 - 7x)  = 2 - 4x    multipy through by 2

5 - 7x   = 4 - 8x         add 8x  to both sides.......subtract 5 from both sides

x = -1

Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N

Answers

Answer:

To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.

In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.

For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.

For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.

For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.

For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.

Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.

The table shows a cricket club's income in 2016 from a fete, a quiz and membership fees.
Income
Fete
£250
Quiz
Entry fees
Refreshments
13 at £5 each
£35
25 at £20 each
Membership fees
Express as a ratio
the income from the fete to the income from the quiz to the income from membership
fees.
Give your ratio in its simplest form.​

Answers

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

Which of the following ordered pairs is a solution to y = 2X?
O (3,6)
O (3,9)
O (3.8)
O (3.27)

Answers

Answer:3,9

Step-by-step explanation:

Which of the following characteristics are true of all parallelograms? Select all that apply

Answers

Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.

Parallel sides with two opposed pair?Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.

The complete question is,

Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.

four equal sides

two pairs of diametrically opposed equal angles

diagonals are cut in half.

two sets of parallel, opposed sides.

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please help will give brainliest

Answers

Answer:

The average rate of change is 44.

Step by step:

FIRST STEP:

[tex]\frac{(294-118)}{(6-2)}[/tex]

SECOND STEP:

[tex]\frac{176}{4}[/tex] = 44

What is 17 divided by 9

Answers

The answer is 1.8 recurring

.......................​

Answers

Answer:

Direct variation

Step-by-step explanation:

Given

[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]

Required

The type of variation

The given equation represents a direct variation.

A direct variation is:

[tex]a = kb[/tex]

Where

[tex]k\to[/tex] constant of variation

Make k the subject

[tex]k = \frac{a}{b}[/tex]

For corresponding values of and b, we have:

[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]

Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation

The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.

(y+5)^2/9 + (x+5)^2/25 = 1

Answers

Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).

Explain the equation.

An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.

Here,

[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] +  [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).

the ellipse's nucleus

The major axis is the larger of the two axes, which are 2a and 26.

(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.

[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1

can be written as

[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex]   +       [tex](y-5)^{2}[/tex] /(2√/5)2

hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis

is 2 x 4 = 8

Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.

As a result of the presence of a vertical major axis, eccentricity e and focii are

(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.

=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]

 a2= 16 and b2= 62

=> e = 1/√5

Focii (-2,5 ± (2√5 x 1/√5)

or (-2,5±2) i.e. (-2, 7) and (-2, 3).

Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).

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Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the freshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates. The probability of taking a freshman seminar, if a student is a science major, is:

Answers

complete question

the probability of taking a freshman seminar, if a student is a science major, is:

a) a total probability.

b) a conditional probability.

c) a complete probability.

d) a joint probability.

Answer:

B. Conditional probability

Step-by-step explanation:

In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.

In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.

There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.

Answers

Answer:

147/572

Step-by-step explanation:

The number of combinations of  n  things chosen  r  at a time is

[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]  (Some writers use the symbol [tex]_nC_r[/tex])

Choose 4 women from the 7:

[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex]  ways

Choose 3 men from 9:

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex]  ways

There are 35 x 84 = 2940 ways to choose both, out of

[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.

Probability:

[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]

P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]

When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.

[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]

What is a root of a polynomial function?

Answers

Answer:

d. a value of the variable that makes the polynomial equal to zero

How do you do numb 3. please help

Answers

Step-by-step explanation:

first we need to identify the lines themselves.

the line from bottom left to top right is simply

y = x

the line is solid, so the points on the line are included.

the dotted line (the points on the line itself are not included) goes through

(0, 2) and (3, 0)

the y-intercept is therefore 2 (the y value when x = 0).

and for the slope

x changes by +3 (from 0 to 3).

y changes by -2 (from 2 to 0).

the slope is -2/+3 = -2/3

and the line is

y = (-2/3)x + 2

we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.

so, the system of inequalities is

y >= x

y > (-2/3)x + 2

How many unique tree graphs (i.e. with different degree patterns) can be made with
4 vertices?
a) 0
b) 1
c) 2
d) 3

Answers

I think the answer will be d

Can someone show the work and answer ASAP

Answers

so 15 miles is the answer❤

Step-by-step explanation:

4²+5²=x²

16+25= 41

x²=41

x= 6.4

5+4+6= 15

can you guys help me!!!! Question 3
Calculate the average reading for all three trials for both the wet bulb and dry bulb
thermometers.
Convert the average temperatures for both thermometers to Celsius using this
formula:
(°F - 32) °C

wet bulb temp: 62.8, 60.0, 61.0

dry bulb temp: 64.5, 64.4, 64.3

Answers

Answer:

F = ( 9/5) X c + 32

Step-by-step explanation:

Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).

Answers

Answer: B  y = -4/7x + 7

Step-by-step explanation:

The equation in the form y = mx + b

m = -4/7 and b = 7

Equation: y = -4/7x + 7

Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?

Answers

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

What is percent error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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A squre has 12cm length find it's area and perimeter​

Answers

Answer:

a=L² is is the formula for the area of square. where L represent the length.

a=(12cm)²

a=144cm²

p=4(L) is the formula for the perimeter of a square. where L represent the length

p=4(12cm)

p=48cm

Please help with this Khan Question :)

Answers

Answer:

the answer is A

Step-by-step explanation:

Help please! I’ll give brainliest!

Answers

Answer:

B

Step-by-step explanation:

solution to the system is where they intercept

Nancy earns Rs. 25,00,000 in 5 months. what is her annual salary

Answers

Answer: 120,000,000
Explained:
If Nancy earns 25000000 in 5 months you divide it by 5 to find what she earns in 1 month which gets you 5000000, since there is 12 months in an annum(year) you times the 5000000 by 12 getting you 120,000,000

Answer:

You would first divide the amount of months by the total amount of money that she has earned in 5 months.

(You put down 25, 00, 000 so Ima just write it as 2,500,000)

25,000,000/5 = 5,000,000

She earns 5,000,000 a month, and would earn 60,000,000 per year.

Anual salary is how much money you would earn per year, so the answer is 60,000,000. (sixty million).

Step-by-step explanation:

Hope it helps! =D

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