solving linear inequality: 2x + 4

Answer: C. $36

Step-by-step explanation:

Opportunity cost refers to the best economic alternative so in this case, it would be referring to the student tutoring for three hours. $12x3=$36

Answer:

hope dis help ;_;

Step-by-step explanation:

It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).

But nobody wants to do that repetitive computation. If we factor out the (.1),

we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.

We really need a formula for big numbers though. The short cut for adding a series

of numbers is to find the average of the first and last numbers and multiply by how

many there are in the list:

(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465

465(.1) = $46.50

The money that Heather will save at the end of 30 days will be 465.

What is arithmetic progression?

Arithmetic progression is a sequence of numbers with a common difference. It is given by,

aₙ = a₁ + (n - 1)d

Where,

aₙ  = the nᵗʰ term in the sequence

d = common difference

a₁ = first term

Now,

We have,

Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.

So,

Money saved on the first day = 1

And,

Money save on 30 day = 30  

So,

Using the sum of Arithmetic progression formula,

Sₙ = n/2 [ a + l ]

where,

n = 30

a = first term = 1

l = last term = 30

Now,

Sₙ = n/2 [ a + l ]

Sₙ = 30/2 [ 1 + 30]

Sₙ =15 × 31

Sₙ = 465

So, money saved at the end of 30 days = 465

Hence we can say that the money that Heather will save at the end of 30 days will be 465.

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Answer:

Step-by-step explanation:

first one:

[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]

second one:

[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]

third one:

[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]

Answer:

A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.

Step-by-step explanation:

A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.

A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.

The only thing these shapes have in common is that they both have two pairs of parallel sides.

Answer:

C: 2 pairs of parallel side

Step-by-step explanation:

I got it correct in a quiz I did that had this question.

Answer:

I think option a is correct answer because consecutive angles are supplementary.

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words

Digit- dig, it 8

Mathematician- titanic, intact, manic, cat, math, … 346

Answer:

digit: 60

kindness: 10080

mathematician: 129729600

Step-by-step explanation:

sorry if this isn't right, and sorry I don't have an explanation but this worked for me.

Answer:

25%,  -2x + 3

Step-by-step explanation:

8/24 = 1/4 =.25 = .25%

plug in numbers

PLEASE MARK ME BRAINIEST

Answer:

1.6 < x < 9.6

Step-by-step explanation:

The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

x > 1.6

The largest the third side can be is  less than the sum of the other two sides

x < 5.6 +4

x < 9.6

1.6 < x < 9.6

Answer: C) 52.8 and 88

Step-by-step explanation:

Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88.  Thus the answer is C.

Hope it helps <3

Answer:

Third Choice 52.8 cm by 88 cm

Step-by-step explanation:

Multiply each dimension by the scale factor.

24 cm * 2.2 = 52.8 cm

40 cm * 2.2 = 88 cm

Answer:

Answer:

The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0)

Step-by-step explanation:

A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD

Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;

The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0).

Answer:

0.75

Step-by-step explanation:

Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.

Answer: 3/4

Step-by-step explanation:

There are 8 choices, 2 of which are blue A's.  Thus, 6 out of the eight options are NOT blue A's.  Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.

Hope it helps <3

Answer:

Solution,

y=40°

now,

[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

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Answer:

A. -1

Step-by-step explanation:

Slope = (y2 - y1) / (X2 - X1)

= (3 - 7) / (2 +2)

= - 4/ 4

= - 1

Hope this helps.. Good Luck!

Answer:

The slope is -1.

Step-by-step explanation:

Plug it into the formula.

Answer:

-10a - b + 0.1c

Step-by-step explanation:

We can distribute the -0.1 to 100a, 10b and -c.

-10a - b + 0.1c

That's all!

Hope this helps

Answer: -10a - b + 0.1c

Step-by-step explanation:

simplify 0.1 * 10b * -c

10a - b - 0.1 * -c

regroup terms.

-10a - b - ( - 0.1 * c )

remove parentheses

-10a - b + 0.1 * c

Answer: C

Step-by-step explanation:

You are given a graph which is defined by f(x)=x^2+5|x|+6

Where the intercept of the graph is 6

Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.

Which are 2 and 3 or -2 and -3

Option C is therefore the best graph for the answer to the question.

Answer:

solution,

<2=38°( being corresponding angles)

<4=<2( being vertically opposite angles)

=38°

About corresponding angles:

Please look the first one picture.

There,

<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.

About vertically opposite angles

please look the second one picture.

there,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.

<AOC=<BOD

<AOD=<BOC

Hope this helps...

Good luck on your assignment..

Answer:  y = 4x-3

slope = 4, y intercept = -3

=================================================

m = 4 is the slope

[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through

Using point slope form, we can say,

[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

Answer:

y = 4x-3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

The slope is 4

y = 4x+b

Substitute the point into the equation

-11 = 4(-2)+b

-11 = -8+b

Add 8 to each side

-11+8 = b

-3 = b

y = 4x-3

Answer:

Step-by-step explanation:

18x+7y=-89   equation1

9x-9y=18       equation2

multiplying equation 2 by 2

2(9x-9y=18)    18x-18y=36   equation 3

subtacting equation 1 and 3

18x-18x+7y+18y=-89-36

25y=125

y=5

putting the values of y in equation1

18x+7(5)=-89

18x+35=-89

18x=-89-35

18x=-124

x=-6.8

Answer:

(5, 2)

Step-by-step explanation:

As 8x = 40

x = 40÷8

x = 5

This is the first solution

Then 4x + 4y = 28

We know that x = 5 as above

So let's substitute it:

4x + 4y = 28

(4 × 5) + 4y = 28

20 + 4y = 28

Let's get the 20 to other side

20 - 20 + 4y = 28 - 20

4y = 8

y = 8 ÷ 4

y = 2

Hence we get these two solutions

(5,2)

:-)

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

Answer:

2ab - 8a + 6

Step-by-step explanation:

(-3ab - 8a + 8) - (-5ab +2)

(-3ab - 8a + 8) -1(-5ab +2)

Distribute -1 to the brackets.

(-3ab - 8a + 8) + 5ab - 2

Remove the brackets.

-3ab - 8a + 8 + 5ab - 2

Rearrange.

5ab - 3ab - 8a + 8 - 2

Combine like terms.

2ab - 8a + 6

Answer: it’s b

Step-by-step explanation:

Answer:

42.7 cm ^2

Step-by-step explanation:

I'm sorry it took this lobg

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

Answer:

7 days and 17 days

Step-by-step explanation:

We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.

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Answer:

See below

Step-by-step explanation:

First, you need to find the slope of the given line.  You can do this by rearranging the equation so that it is  in slope-intercept form (y = mx + b).

-8x - 5y = -7

-5y = 8x - 7

y = -8/5x + 7/5

The slope of this line is -8/5.  

The slope of a line that is perpendicular will be the negative reciprocal.  You have to change the sign, and basically flip the numerator upside down.  The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal.  This means that the slope will be -8/5.

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]f(x)= 2^{-x}=\frac{1}{2^x}[/tex]

The graph of y = 2ln(x) is (b) on a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).

The equation of the graph is given as:

[tex]y = 2\ln(x)[/tex]

Start by plotting the graph of [tex]y = 2\ln(x)[/tex] .

From the graph (see attachment), we have the following highlights

From the list of given options, only option (b) describes the above highlights

Hence, the graph of y = 2ln(x) is (b)

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