Solve for x: |3x + 12| = 18 (5 points) A. x = 2, x = −10 B. x = 2, x = −2 C. x = 10, x = −10 D. x = −2, x = 10

Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

[tex]y=mx+b[/tex]

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

[tex]y-intercept=7\\\\m=7[/tex]

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From  here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]

The slope is -3.

Insert the information into the equation:

[tex]y=-3x+7[/tex]

:Done

Answer:

the desired equation is y = -3x + 7

Step-by-step explanation:

The y-intercept can be read directly from the graph:  (0, 7).  

Another point on the graph is (2, 1).

As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6.  Thus the slope of this line is m = rise/run = -6/2, or -3.

Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.

Then 1 = (-3)(2) + b; find b:

1 = -6 + b, or b = 7

Then the desired equation is y = -3x + 7.

Answer:

[tex] 6\sqrt{5} units [/tex]

Step-by-step Explanation:

The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).

Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(6, 4) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]

[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]

[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]

[tex] d = \sqrt{144 + 36} [/tex]

[tex] d = \sqrt{180} [/tex]

[tex] d = \sqrt{36*5} [/tex]

[tex] d = 6\sqrt{5} [/tex]

The length of the wall = [tex] 6\sqrt{5} units [/tex]

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

Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

Answer:

B) 30

Step-by-step explanation:

Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.

Wich means that BE = ED

● BE = ED

● (2/3)x = x-10

Substract x from both sides

● (2/3)x -x = x-10 - x

● (2/3) x - x = -10

Multiply x by 3 then ubstracr it from 2x

● (2x-3x)/3 = -10

● -x/3 = -10

Multiply both sides by -3

● (-x/3)×(-3) = -10 ×(-3)

● x = 30

Sry couldn't find the answer

Correct option is Option B: The standard deviation is a better measure of spread for movies than it is for basketball games.

Visual analysis for movies:

Movies data is more centric to mean and not skewed on a particular side.

Visual analysis for Basketball games:

Basketball games data is not centric to mean but is skewed or say more dense in right then left.

Property of standard deviation and its limitation:

Standard deviation just measures the deviation or spread with respect to mean of collected data. It is non- sensible for skewness of the data and thus more information is needed in such case.

Property of IQR and its limitation:

IQR is interquartile range. IQR generally is less powerful than standard deviation, but more powerful if the data is skewed and its variability has to be measured. It measures the range or say difference between [tex]Q_3 \: and \: Q_1[/tex]

In the movies data, the data is more collected and barely visible to be skewed. Thus standard deviation is best suited for this dataset.

In the basketball data, the standard deviation will fail to give good information about the data. The IQR, is better here since we've to measure variability or dispersion of data which is skewed.

Thus, option B: The standard deviation is a better measure of spread for movies than it is for basketball games; is correct option.

Learn more here:

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Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

Answer: 14 1-cent stamps (in case anyone else still needs)

Step-by-step explanation:

1-cent stamps=x

8-cent stamps=x-4

12-cent stamp=.5x

x+x-4+.5x=31

2.5x-4=31

2.5x=35

x=14

You can use the $1.78 to double check:

(1*14)+(8*10)+(12*7)

14+80+84=178 cents (or $1.78)

Answer:

h=7

Step-by-step explanation:

First we need to define the formula for surface area

2(wl+hl+hw)=100

Now we can replace length with x

That makes width .5x and height x+3

2(.5x^2+x^2+3x+.5x^2+1.5x)=100

2(2x^2+4.5x)=100

2x^2+4.5x=50

2x^2+4.5x-50=0

Insert into quadratic equation (a=2x^2, b=4.5, c=-50)

x=4 or -6.25

x can't be negative so x is 4

h=x+3=7

h=7

Answer:

  13.4 meters

Step-by-step explanation:

About the diagram

Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)

The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).

The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.

__

Problem solution

The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...

  tan(30°) = 10/(rabbit distance from tree)

Solving for the rabbit distance, we get

  rabbit distance = 10/tan(30°) ≈ 17.3205 m

Similarly, the coyote distance from the tree will be ...

  coyote distance = 10/tan(20°) ≈ 27.4748 m

__

These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:

  d² = r² +c² -2rc·cos(23°)

  d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769

  d ≈ √178.769 ≈ 13.37 . . . . meters

The distance from the rabbit to the coyote is about 13.4 meters.

_____

Additional comment

Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.

Answer:

Minimum candy Tyler gets = 32

Step-by-step explanation:

Given:

Number of candy in box = 50

Extra candy = 5

Find:

Minimum candy Tyler gets

Computation:

Assume.

Number of candy Tyler gets = x

Number of candy Jamie gets = x - 8

Total number of candy in box = 50 + 5 = 55

So,

Number of candy Tyler gets + Number of candy Jamie gets = Total number of candy in box

x + x - 8 = 55

2x = 63

x = 31.5

So,

Minimum candy Tyler gets = 32

Answer:

H. 50 sq cm

Step-by-step explanation:

Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.

5 * 10 = 50 sq cm

Answer:

A. 1010 FT^3

Step-by-step explanation:

19 x 14.5 x 5 = 1377.5

you need to subtract now, so the only option would be A

Answer:

[tex]1,010 ft^{3}[/tex]

Step-by-step explanation:

You can break the figure into 2 sections; one with the dimensions of 4, 5 and 7; the other with dimensions of 14.5, 5, and 12.

Multiply the first three dimensions (4, 5 and 7) to get 140 ft cubed.

Multiply the last three dimensions (14.5, 5, and 12) to get 870 ft cubed.

Now, just add both volumes together to get 1,010 ft cubed!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

Answer:

using the equilateral formula of solution

Answer:

[tex]x^2-3\geq 12[/tex]

Step-by-step explanation:

[tex]x^{2} -3[/tex] is the difference of a number squared and three

is at least 12, means that is greater but not less

[tex]x^2-3\geq 12[/tex]

Answer:

it took him 3 hours to get to work

Step-by-step explanation:

For the first part of the trip, the executive covered a distance "d" in time 't" at 35 mph, therefore we can write that the time it took to get to the helicopter was:

[tex]t-\frac{d}{35}[/tex]

which if the distance is in miles, will render the time in hours.

We can write something similar for the second part of the trip", using the same "t" since it took the same time as for the first one, and using for distance 169.5 - d (since it is the distance to complete the total traveled distance :

[tex]t=\frac{169.5-d}{78}[/tex]

Now we equal those two equations because the time "t" is the same, and solve for "d":

[tex]\frac{d}{35} =\frac{169.5-d}{78} \\78\,d=35\,(169.5-d)\\78\,d=5932.5-35\,d\\(78+35)\,d=5932.5\\d=\frac{5932.5}{113} \\d=52.5[/tex]

Now, knowing the distance covered in the first trip, we can find the time of that first trip:

[tex]t=\frac{52.5}{35} =1.5\,\,hours[/tex]

Therefore, the time it took for thye total trip is: 1.5 h + 1.5 h = 3 hours

Answer:

15 cm

Step-by-step explanation:

The area of an equilateral triangle is:

[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.

We can find the value of a (the length) by:

[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]

[tex]a^2 = 25[/tex]

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

[tex]3\cdot5=15[/tex]

Hope this helped!

A negative value would mean it is below sea level. A positive value would be above sea level.

-8 is 8 feet below sea level

+107 is 107 feet above sea level.

The answer Is:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

Answer:

Step-by-step explanation:

The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.  

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

Answer:

a) x greater than or equal to 10

b) x = 9

Step-by-step explanation:

a)

[tex]x + 5 \geqslant 15 \\ x \geqslant 15 - 5 \\ x \geqslant 10[/tex]

b)

[tex]2x < 18 \\ x = \frac{18}{2} \\ x = 9[/tex]

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

Answer:

Temperature decreased by 25%

Step-by-step explanation:

Let initial temperature be t

Step 1

Increase by 25%:

Step 2

Decrease by 40%:

Temperature changed from t to 0.75 t

The difference in %:

Temperature decreased by 25%

Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

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Answer:

no it can not

Step-by-step explanation:

Triangle is always 180° in total.

Answer:

31 Pikachu bags were sold.

19 peanut bags were sold.

Step-by-step explanation:

Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.

We know that the number of Peanuts sold is 50-x (as the total needs to be 50)

We know that the total revenue is:

Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts

Using our definitions above:

Total Revenue = x * $3.68 + (50-x) * $0.76

We know that the revenue needs to be $128.52.

$128.52 = x * $3.68 + (50-x) * $0.76

Let's remove the $ signs.

128.52 = x * 3.68 + (50-x) * 0.76

Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.

128.52 = x*3.68 + 50*0.76 - x*0.76

128.52 = x*3.68 + 38 - 0.76*x

Subtracting 38 from both sides

90.52 = 3.68*x - 0.76*x

We can simplify the right side.

90.52 = 2.92*x

We can divide both sides by 2.92:

31 = x

And flip it:

x = 31

So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is

50-x = 50-31 = 19

31 Pikachu bags were sold.

19 peanut bags were sold.

[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]

Let the number of peanut bags be x

Then, Number of pikachu bags = 50 - x

Given,

Then,

⇛ Total cost he gets from peanut bag = $0.76 × x

⇛ Total cost he gets from pikachu bag = $3.68(50 - x)

According to question,

⇛ $0.76x+ $3.68(50 - x) = $128.52

Solving this equation,

⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)

⇛ 184 - 2.92x = 128.52

⇛ 184 - 128.52 = 2.92x

⇛ 55.48 = 2.92x

Flipping the equation,

⇛ 2.92x = 55.48

⇛ x = 55.48 / 2.92

⇛ x = 19

Then,

⇛ 50 - x = 50 - 19 = 31

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]

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Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

More about the domain and range link is given below.

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