Which ordered pair is part of the solution set of the inequality 12 + y ≤ –3x? Question 11 options: a) (3, –16) b) (4, –1) c) (–16, 3) d) (1, 4)

Answers

Answer 1

Answer:

C (-16, 3)

Step-by-step explanation:

[tex] 12 + 3 \leqslant - 3 \times - 16 \\ 15 \leqslant 48[/tex]

replace x and y

Answer 2

Answer:

c) (-16,3)

Step-by-step explanation:

Given: inequality [tex]12+\text{y}\leq -3\text{x}[/tex]

To Find: Which ordered pair is part of the solution set of the inequality

Solution:

Simplifying inequality,

[tex]12+\text{y}\leq -3\text{x}[/tex]

[tex]12}\leq -3\text{x}-\text{y[/tex]

now,

putting ordered pairs from options

a) [tex](3,-16)[/tex]

[tex]-3\times3-(-16)[/tex][tex]16-9=7[/tex]

as [tex]7<12[/tex], it does not satisfy inequality

b)  [tex](4,-1)[/tex]

[tex]-3\times4-(-1)[/tex][tex]1-12=-11[/tex]

as [tex]-11<12[/tex], it does not satisfy inequality

c)  [tex](-16,3)[/tex]

[tex]-3\times(-16)-(3)[/tex][tex]48-3=45[/tex]

as [tex]45>12[/tex], it satisfy inequality

d)  [tex](1,4)[/tex]

[tex]-3\times1-(4)[/tex][tex]-3-4=-7[/tex]

as [tex]-7<12[/tex], it does not satisfy inequality

So, from above only option c is part of the solution set of inequality.


Related Questions

The product of a number m and 1.7 is 6.63.

What is the value of m?

Drag and drop the correct number into the box so that the equation is true.

Answers

Answer:

3.9

Step-by-step explanation:

If m and 1.7 is 6.63, then m will be:

6.63 ÷ 1.70 = 3.9

Therefore the correct answer is 3.9

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL ;)

Compute the average (mean) from the data shown. (round to the nearest tenth)

{48 , 95 , 73 , 39 , 78 , 41 , 89 , 29 , 95}

Answers

Answer:

65.2

Step-by-step explanation:

Add them together and divide the answer by 9

write the opposite number sentence
10 -7 = 3​

Answers

Answer:

the opposite number sentence is 10=7+3

The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sentence is given below.

10 - 7 = 3

Simplify the equation, then the equation can be written as,

10 - 7 = 3

10 = 3 + 7

The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.

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Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 pages left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer:

[tex]y=-55x+570\\[/tex]

Step-by-step explanation:

Ah im too lazy to type out everything

The equation for the relationship between the number of pages left and number of hours is y = 555x - 555 * 444.

The relationship between the number of pages left to read (y) and the number of hours (x) can be represented by a linear equation.

Naoya reads at a rate of 555 pages per hour, which means he reads 555 pages in one hour. In 444 hours, he read 555 * 444 pages.

So, the equation for the relationship between the number of pages left and the number of hours is:

y = 555x - 555 * 444

In this equation:

- y represents the number of pages left to read.

- x represents the number of hours.

- 555x represents the number of pages he reads in x hours (555 pages per hour).

- 555 * 444 represents the total number of pages he read in 444 hours.

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What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,1), (4,0)}

Answers

Answer:

[tex]\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}[/tex]

Step-by-step explanation:

[tex]f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/[/tex]

7. Write the number 0.21212121... as a fraction.
Let x =
100x =
100x - x =
99x =
x=
So 0.2121... is equal to

Answers

Answer:

21 / 99

Step-by-step explanation:

You want to get rid of the decimals so

Let x = 0.21212121

then 100x = 21.21212121

then 100x - x = 21

99x = 21

x = 21 / 99

So 0.2121... is equal to 21 / 99

Final answer:

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.

Explanation:

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.

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−7⋅8 pls help asap help

Answers

Answer:What do you need help with

A bowling ball is traveling at 15 mi/h when it hits the
pins. How fast is the bowling ball traveling in feet per
second?

Answers

22 feet per second is the answer

Write an equation in slope intercept form of the line with slope of 3/5 and y intercept of -3

Answers

Answer: y= 3/5x-3

Step-by-step explanation:

which of the following is equivalent to the equation 4x+7y=z?

Answers

The equivalent expression is: B. y = ((z + 4x)) / 7

To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.

Let's isolate x in terms of y and z:

Starting with 4x + 7y = z, subtract 7y from both sides:

4x = z - 7y

Now, divide both sides by 4 to solve for x:

[tex]\[x = \frac{z - 7y}{4}\][/tex]

Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].

Complete question:

Which of the following is equivalent to the equation 4x+7y=z ?

A. x=4z-28y

B. x= ((z-7y))/4

C. y=7z+28x

D. y= ((z+4x))/7

What is -18x - x = 5x -6 PLEASE ANSWER CORRECTLY IT IS MY HOMEWORK

Answers

Answer:

[tex]\large\boxed{x=\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}[/tex]

What is 8+w/4 when w =16

Answers

Answer:12

Step-by-step explanation:16/4=4, 8+4=12

Answer:

12

Step-by-step explanation:

8+w/4, when w=16

8+16/4

8+4=12

kimos car needed work the mechanic charged him 146.36 for parts plus 48$ per hour for labor if the mechanic worked for 3.5 hours how much did kimo pay

Answers

$314.36

48•3.5=168

168+146.36=314.36

Find the value of W and please show step by step working out

Answers

Answer:

w = 60

Step-by-step explanation:

Given

[tex]\frac{4w}{10}[/tex] + 28 = 52 ( subtract 28 from both sides )

[tex]\frac{4w}{10}[/tex] = 24

Multiply both sides by 10 to clear the fraction

4w = 240 ( divide both sides by 4 )

w = 60

Please need help on this

Answers

Answer:

a. 276 vehicles

Step-by-step explanation:

7⁄10[13½] + 3⁄10[20] + 3v - 3 = [4][5280]

[tex] \frac{10323}{( \frac{7}{10})(13 \frac{1}{2}) + ( \frac{3}{10})(20) + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 6 + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 9} = v \\ \\ \frac{10323}{18 \frac{9}{20}} = v \\ \\ 559 \frac{21}{41} = v[/tex]

Now, we check to see which answer choice this quantity is closer to. Obviously, we will take 896 and 276:

-559 21⁄41 + 896 = 336 20⁄41

559 21⁄41 - 276 = 28221⁄41 → we take this number

* 559 21⁄41 is much more closer to 276 than it is to 896.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room​

Answers

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

Answer: 6m

Step-by-step explanation:

Solve for y 3(2y+5)=33 what do y=

Answers

3(2y+5)=33
6y + 15 = 33
6y = 33-15
6y = 18
y = 18/6
y = 3

Answer:

y = 3

Step-by-step explanation:

Given

3(2y + 5) = 33 ( divide both sides by the multiplier 3 )

2y + 5 = 11 ( subtract 5 from both sides )

2y = 6 ( divide both sides by 2 )

y = 3

Please help!!!!!!!!! ☝

Answers

Answer: About 9

Step-by-step explanation:

4/7 of 20 is about 11. 20-11 is 9

There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?

Answers

There are 7 pears



Cus 15-4=11
Then 11-3 (cus 3 go into the pear pile)
You’re left with 8 divided by 2 is 4 (4 pears and 4 banana)
3 pears + 4 pears is a total of 7 pears!!!
There are 7 pears, your welcome

If sales tax is 7%, what is the total cost of both a new iphone that is $600 and a $50 case?

Answers

The cost for the phone and the case is 600 + 50 = $650

Multiply total cost by 7% to get the tax.

The tax would be 650 x 0.07 = $45.50

Add the tax to price of the phone and case to get total:

650 + 45.50 = $695.50

what is the fraction 108/132 in lowest terms

Answers

[tex]\frac{108}{132} = \frac{9}{11}[/tex] in simplest form.

9/11 Is The Fraction In Lowest Terms

Neeeed help pleaseeeee????

Answers

Answer:

Leonard did make an error. He should have multiplied -7 by -5

Step-by-step explanation:

When you multiple a negative by a negative, it is a positive.

what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin

Answers

Answer:

T'(2, - 5 )

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

T(- 2, 5 ) → T'(2, - 5 )

After a 180-degree rotation about the origin, the coordinates of point T' that is the image of T(-2,5) are (2,-5).

The coordinates of point T' after a rotation of 180 degrees about the origin are found by changing the signs of the original coordinates. The point T(-2,5) will thus be mapped to point T'(2,-5). This is because the 180-degree rotation reverses the direction of both the x and y coordinates. So, if the original point T has coordinates (x, y), then the rotated point T' will be (-x, -y).

The shaded rectangle shown below is a scale drawing of a rectangle whose area is 288 square feet. What is the scale factor of the drawing? (Note: Each square on the grid has a length of 1 unit.)

Answers

Answer:

2881

Step-by-step explanation:

Answer:

1 sq.unit = 9 sq.feet

Step-by-step explanation:

Length of shaded rectangle = 6 square on grid

We are given that Each square on the grid has a length of 1 unit.

So, Length of shaded rectangle = 6 units

Breadth of shaded rectangle = 4 square on grid = 4 units

Area of shaded rectangle = [tex]Length \times Breadth = 8 \times 4 = 32 units^2[/tex]

We are given that area of original square = 288 sq.feet

32 sq.unit = 288 sq.feet

1 sq.unit = [tex]\frac{288}{32} =9[/tex]

So, 1 sq.unit = 9 sq.feet

Hence Scale is 1 sq.unit = 9 sq.feet

model the number 5.55 on the place value chart

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Each digit in a  number has a place value, based on its distance from the decimal point.

The value of a digit  is the digit multiplied by its place value.

The place value of a digit increases by a factor of 10 as we move left on the place value chart and decreases by a factor of 10 as we move right.  

Numbers to the left of the decimal point increase in the order: ones, tens, hundreds, thousands, etc.

Numbers to the right of the decimal point decrease in the order: tenths, hundredths, thousandths, etc.

So, we put the digits of 5.55 on the chart according to their place value.

I need help with number 1

Answers

Answer:

1a. 0< -4 false

1b. -3> or = -7 true

1c. 4<= -1/2 false

Use the number 913,256.
4. Write the name of the
period that has the
digits 913.

Answers

Answer:

ummm the thousands im pretty sure

Step-by-step explanation:

What is equal to 20/40?

Answers

Answer:

1/2 is equal to 20/40

that is the answer

20/40

divide the fraction by 20

20/20=1

40/20=2

Answer: 1/2

In what direction are operations done?
A. Right to left
B. Left to right

Answers

Answer:

B

Step-by-step explanation:

The answer is "B", "Left-To-Right"

If your doing Apex or anything then this is the correct answer

Hopefully it helps :D

Final answer:

In mathematical operations, the direction can be from left to right or right to left, but in general, operations are performed according to the BODMAS/PEDMAS rule, which directs us from left to right.

Explanation:

In mathematical operations, the direction can be either from left to right or right to left, this largely depends on the specific operation field. However, in general, mathematics operations follow the BODMAS/PEDMAS rule, and the operations are performed from left to right.

The rule simply states: Brackets, Orders (exponential, square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). If you have, for example, a problem like 3 + 4 * 2, you would first perform the multiplication (4*2 = 8), then add the answer to 3, for a total of 11.

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Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point
(5, -4)? Select three options.
y=-2 X-2
2x +hoy = -10
L2x - 5y = -10
y+ 4 = _{(x - 5)
y- 4 = 5(x+5)

Answers

Answer

See below

Step-by-step explanation:

The given line has equation

[tex]5x - 2y =  - 6[/tex]

The slope intercept form is

[tex]y =  \frac{5}{2} x + 3[/tex]

The slope of this line is

[tex] m = \frac{5}{2} [/tex]

The line perpendicular to this line has slope

[tex] -  \frac{2}{5} [/tex]

If this line passes through (5,-4), the point-slope form is

[tex]y + 4 =  -  \frac{2}{5} (x  - 5)[/tex]

The slope-intercept form is

[tex]y =  -  \frac{2}{5} x- 2[/tex]

The standard form is

2x+5y=-10

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