Which of the following equations has a solution of x = -5?

a. Equation A
b. Equation B
c. Both A and B
d. Neither A nor B

Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Step-by-step explanation:

All the functions graphed represent the absolute value functions.

Since function g(x) passes through (0, 0) and (1, 1),

Let the equation of a line passing through these points is,

y = mx + b

Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]

m = 1

y-intercept of the line 'b' = 0

Therefore, equation of the line will be,

y = x

And the function representing the two lines (both are the mirror images) joining at the origin will be,

f(x) = |x|

When the parent function is shifted 3 units up, the new function will be

h(x) = |x| + 3

When the parent function is shifted 2 units down,

g(x) = |x| - 2

Answer:

Right now it would be

[tex]-40[/tex]

Since desend means down add -20 to -40

[tex]-40+(-20)=-60[/tex]

         or

[tex]-40-20=-60[/tex]

Then is goes up 35, which is positive

[tex]-60+35=-25[/tex]

Therefore, the answer is -25

Hope this helps

Answer by

Fishylikeswater

Answer:

A. -25M

Step-by-step explanation:

The submarine starts at -40M underwater which then it descends ( goes down ) another -20M which added means it is now -60M underwater. It then rises 35M so you would then add -60M + 35M = -25M

Hope this helps :)

Answer:

15 units

Step-by-step explanation:

Distance from the x-axis is measured vertically, so you would look at the second number of the coordinates, the y value. Point Z is 15 units below the x-axis.

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

What is the axis?

An axis in mathematics is defined as a line that is used to make or mark measurements.

Here given that,

[tex]Z= (16,-15)[/tex]  which is on the x-axis.

So,

The shortest distance between the coordinate [tex](16,-15)[/tex] and [tex](16,15)[/tex].

Now, applying the distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here,

[tex](x_1,y_1)=(16,0)\\(x_2,y_2)=(16,-15)[/tex]

Substituting these values in the formula

[tex]d=\sqrt{(16-16)^2+(-15-0)^2}\\\\d=\sqrt{(0)^2+(-15)^2}\\\\d=\sqrt{0+225}\\\\d=15[/tex]

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

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Answer:

12

Step-by-step explanation:

8/3=2.66666666667

1 kappa coin=2.66666666667 gamma coins

32/2.66666666667=12

Answer:

12 gamma coins

Step-by-step explanation:

We can use a ratio to solve

8 kappa             32 kappa

------------------ = ----------------

3 gamma         x gamma

Using cross products

8x = 3*32

Divide each side by 8

8x/8 = 32 *3/ 8

x = 32/8 *3

x = 12 coins

Answer:

Second Graph, Top Right

Step-by-step explanation:

When the points from the top right table are graphed, they form a slight curve. This means that they are not a linear function.

Answer:

second graph top right

Step-by-step explanation:

compared to the others this graph is not linear

Answer:

option 4

Step-by-step explanation:

(2x - 3) - (-3x + 4)

= 2x - 3  +3x  - 4    {remove parenthesis by bringing in th (-) sign}

= 2x + 3x - 3 - 4   {add the like term}

= 5x - 7

Answer:

216 yds

Step-by-step explanation:

Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.

Answer:

216 [tex]yd^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a prism:

[tex]Vol=W\,*\,D\,*\,H[/tex]

where W represents the prism's width, D its depth, and H its height.

In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)

Then the volume of this prism is:

[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]

Answer: The son is 30 and the mother is 60

Step-by-step explanation:

Mother's age = m

Son's age  = s

m = s + 30

m-15 = 3(s - 15)

m - 15 = 3s - 45

m = 3s - 30

(Substitution)

s + 30 = 3s - 30

2s = 60

s = 30

m = 60

Hope it helps <3

Trick question---

Just kidding I think that 15 years ago his mother was 45

he was 15 and now he is 30 and she is 60.

literally sat here thinking that 30 is ruled out, and 60 would be 20 but then she'd be too old, suddenly it clicked, if you said he'd be half her age now, it'd be to easy, because half her age now would be 30 and it'd give the answer straight away.

You or your teacher has a big percentage of the brain used. I respect.

Answer:

1/3

Step-by-step explanation:

figure a to figure b is a reduction so we do the smaller side divided by the bigger side (use the similar sides on the figures)

5/15 = 1/3

or you could do 11/33 = 1/3

Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept equation of a line:

y = mx + b

(0, -3) is the y-intercept, so b = -3

We have

y = mx - 3

Now we use the two points to find the slope.

slope = m = (-3 - 5)/(0 - 4) = -8/(-4) = 2

y = 2x - 3

Answer:

4,5x+-3

Step-by-step explanation:

Answer:

10feet

Step-by-step explanation:

We solve this question, using Pythagoras Theorem to solve for the other side.

Pythagoras Theorem states that

c² = a² + b²

c = √(a² + b²)

In the question, a = 6 feet

b = 8 feet

c = length of the rope

c = √6² + 8²

c = √36 + 64

c = √100

c = 10 feet

The length of the rope is 10 feet

Answer:

143 yards squared.

Step-by-step explanation:

According to the diagram, there are 6 sides: two trapezoids, and 4 rectangles.

To find the area of a trapezoid, you need to calculate using the formula shown below.

The height of each trapezoid is 3.5 yards. The b1 of each trapezoid is 3 yards. The b2 of each trapezoid is 7 yards.

So, the area of a single trapezoid is [3.5(3 + 7)] / 2 = (3.5 * 10) / 2 = 35 / 2 = 17.5 yards squared.

The area of two trapezoids will be 17.5 * 2 = 35 yards squared.

To find the area of a rectangle, do base times height.

There are, apparently, three types of rectangles in the diagram. All four rectangles have a width of 6 yards. One rectangle has a length of 3 yards, two rectangles have lengths of 4 yards, and one rectangle has a length of 7 yards.

So, the total areas of the rectangles are: (3 * 6) + 2(4 * 6) + (7 * 6) = 18 + 2 * 24 + 42 = 18 + 48 + 42 = 108 yards squared.

So, the total surface area of the figure is 35 + 108 = 143 yards squared.

Hope this helps!

Answer:

240 is the number with a zero and 24 is the number with no zero

Step-by-step explanation:

240 + 24 equals 264 . 240 has a zero take away the zero and you get the second number

Answer: 20ways

Step-by-step explanation:

Number of candies = 7

Number of kids = 4

Since each kid must receive at least one candy ;

Therefore number of candies left to ration is

7 - 4 = 3 candies ; among 4 kids.

To share 'n' identical object among 'r' number of individuals can be expressed in the form :

[n+(r-1)Cr-1]

n = 3 ; r = 4

[3+(4-1)C4-1] = 6C3

Recall: nCr = n! / (n-r)!r!

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

= (6 * 5 * 4) / (3 * 2 * 1)

= 120 / 6

= 20ways

Answer:

Given that “The amount of money in my wallet is more than $10, but less than $20 " can be written in inequality form as

10 < w <  20   where  " w"  is the amount in the wallet .

1 ) Puzzle : -

Ryan  is eating cookies . His mother ask how many cookies did he have .

He said number of cookies he ate is more than 19 and less than 41 .

We can write it in equality form as  19 < x < 41 where  ' x ' is number of cookies Ryan have .  

2) Puzzle :-

Number of steps a child take in an hour is more than 19 and less than 41 .

Write the situation in inequality form .

19 < p < 41 where  " p " is the number of steps a child take in an hour .

3) Puzzle :-

Mother said to his child : " the number of  coins in your piggy bank is more than 19 and less than 41 .

19 < c < 41  where " c " is number of coins in piggy bank .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

5

= -0.4

θ =  

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

or

y =  

- 2 x

5

–  2

5

When x=0, y = -0.4

When y=0, x = -1

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY  

ΔX  

=  

-2  

5  

= -0.4  

θ =  

arctan( ΔY ) + 360°  

ΔX  

= 338.19859051365°  

ΔX = 4 – -6 = 10  

ΔY = -2 – 2 = -4  

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269  

Equation of the line:  

y = -0.4x – 0.4  

or  

y =    

- 2 x  

5  

–  2  

5  

When x=0, y = -0.4  

When y=0, x = -1

Answer:

Any number larger than 10 units (in my example, 30 units)

Step-by-step explanation:

A scaled copy of a shape means that all the angles are the same and that it is basically the same shape that has been made bigger or smaller but still with the same proportions.

Note: If the scale factor is greater than 1, it means that Iria's scaled copy will be larger than this triangle.

Step 1.

Choose any number larger than 1 (as we aren't given the actual number she chose). To make things easy, I will choose the number 3 as it's a small number and it's a whole number (not a fraction or decimal).

Step 2.

Take the number you chose before (in my case, 3) and multiply it with the base length of the triangle in the diagram.

10 x 3 = 30 units

Note: Since the scale factor could be any number larger than 1, the base length can be any number larger than 10.

I hope this helps! :)

Bluey

Answer:

$40.25 per hour

Step-by-step explanation:

If you multiply 35 by 15% you get 5.25. You can either add this on, or you can multiply by 1.15 instead of .15.

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines  we can get the y- intercept

[tex]y = 10x + 30\\\y= mx+c[/tex]

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

The y-intercept in this model for the average gym costs is 30.

In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.

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Answer:

Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:

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A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent

Answer:

Polygon

Step-by-step explanation:

a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.

Hope this helps!

Answer:

13x+10

Step-by-step explanation:

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+5+2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x+10

The perimeter is 7x+10

Answer:

Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5

If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15

hope this helped

Answer:

C. 3^5/5

Step-by-step explanation:

Answer:

A 95% confidence interval estimate of the mean age of all race car drivers is [26.65 years, 37.35 years].

Step-by-step explanation:

We are given below the ages (in years) of randomly selected race car drivers;

Ages: 32, 40, 27, 36, 29, 28.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                           P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean age = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{32+40+27+36+29+28}{6}[/tex] = 32 years

           s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex]  = 5.1 years

           n = sample of car drivers = 6

           [tex]\mu[/tex] = population mean age of all race car drivers

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.571 < [tex]t_5[/tex] < 2.571) = 0.95  {As the critical value of t at 5 degrees of

                                                freedom are -2.571 & 2.571 with P = 2.5%}  

P(-2.571 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.571) = 0.95

P( [tex]-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.571 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.571 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                                  = [ [tex]32-2.571 \times {\frac{5.1}{\sqrt{6} } }[/tex] , [tex]32+2.571 \times {\frac{5.1}{\sqrt{6} } }[/tex] ]

                                                  = [26.65, 37.35]

Therefore, a 95% confidence interval estimate of the mean age of all race car drivers is [26.65 years, 37.35 years].

Answer:

X=2,-4

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x .

Answer:

m(-6,2)

Step-by-step explanation:

m=(-8+-4/2,-6+10/2)

=(-12/2,4/2)

=(-6,2)

The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The formula to find the midpoint using the coordinates of the line is,

[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.

The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,

[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]

Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

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Answer:

<3, 7>

AND

[tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex]

Step-by-step explanation:

I did the plato

The vectors that represent the reflection of the vector across the x-axis are; <3, 7> and [tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex].

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

The vectors that represent the reflection of the vector across the x-axis are;

<3, 7> and [tex]\left[\begin{array}{ccc}3\\7\end{array}\right][/tex].

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Answer:

25 units.

Step-by-step explanation:

The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.

Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.

Now that we know the triangles are similar, we can construct a proportion...

[tex]\frac{16}{20} =\frac{20}{x}[/tex]

That means that 4/5 = 20/x

1/5 = 5/x

x = 25

Hope this helps!

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

Answer:

linear

Step-by-step explanation:

linear pattern

Answer:

a linear pattern

Step-by-step explanation: