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The transformed function g(x) = |x + 9| - 5 has a vertex at (- 9, - 5).

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, The parent function is f(x) = |x|.

Now, The transformed function g(x) = |x + 9| - 5 is shifted x + 9 = 0 ⇒ x = - 9 units along the x-axis and - 5 units along the y-axis.

The vertex of the modulus function is at (- 9, - 5).

learn more about modulus functions here :

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Answer:

x = 15

Step-by-step explanation:

If triangles are similar then they have a scale factor. That is the factor that is being multiplied to each of the sides to create a new set of sides.

We need to find the scale factor between Triangle ABC and Triangle DEF.

We can use Sides AC and DF to determine the scale factor.

It would be 27/9 = 3

So all the sides in triangle DEF are 3 times the length of those in triangle ABC

this means that the side with x cm is just 3 × 5 which is 15 cm.

HOPE YOU HAVE A NICE DAY! And hope you understood!

Answer:

4(2x + 3)

Step-by-step explanation:

Given

8x + 12 ← factor out the common factor of 4 from both terms

= 4(2x + 3)

Answer:

c>4

Step-by-step explanation:

You start off by subtracting 3 from both sides, once you do that you would have 3c>12 then divide each side by 3 and you get 4!

I hope this helps, and have a great day! :)

Answer:

NO, It's -39

Step-by-step explanation:

1+4(3x-10)-12x

1+12x-40-12x= -39

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

Answer:

w=7-vg

Vg=7-w

Vg/v=7-w/v

G=7-w/v

Answer:

q=-1

Step-by-step explanation:

.8-.4q=.2q+1.4

-.2q       -.2q

.8-.6q=1.4

-.8         -.8

-.6q= 0.6

/-.6    /-.6

q= -1

Answer:

4

Step-by-step explanation:

if you're talking about quadrants on a coordinate plane then it is 4:)

coordinate planes are separated into four quadrants (qI,qII,qIII,qIV) shaped like a plus sign, 2 positive quadrants and 2 negative.

Answer:

4! They are called quadrants and quad means 4 <3

Step-by-step explanation:

Answer:

3 and 1/3 pounds of seed

Step-by-step explanation:

1 bulk bluebonnet seed bag = 2/3 seeds

2/3 times 5 = 10/3

10/3 = 3.33333333333333333333333333333 (goes on forever)

or

10/3 = 3 1/3

Answer:

[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).​

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

[tex]Volume = (x+7y) * (7x-y) * (xy-5)[/tex]

Evaluate the first 2 brackets

[tex]Volume = [x(7x-y)+7y(7x-y)] * (xy-5)[/tex]

[tex]Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)[/tex]

[tex]Volume = [7x^2-xy+49xy-7y^2] * (xy-5)[/tex]

[tex]Volume = [7x^2+48xy-7y^2] * (xy-5)[/tex]

Open brackets

[tex]Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2][/tex]

[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]

Answer:

Yes, his expectation is reasonable

Step-by-step explanation:

Mathematically;

1 mile = 1.609344 km

If he runs this in 5 minutes;

his speed will be 1.609344/5 = 0.3219 km/m

Now he intends breaking the record of 5 kilometers in 15.25 minutes

Distance = speed * time

What we shall have in this case will be;

15.25 * 0.3219 = 4.908

Approximately this is 5 km

So we can conclude that he will break the record if he runs at this speed

Answer:

1.12x=952

x=850L

Step-by-step explanation:

Answer:

850 L

Step-by-step explanation:

Make an equation:

1.12x = 952

Solve for x:

x = 850

Answer:

s

Step-by-step explanation:

Answer:

[tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

Step-by-step explanation:

Given: A number [tex]2020[/tex]

To find: How many factors of [tex]2020[/tex] have more than 3 factors?

Solution:

We have,

Factors of [tex]2020[/tex] are [tex]1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010[/tex]

Now, we have to find the number of factors that has more than [tex]3[/tex] factors. So, let us consider each factor of [tex]2020[/tex] one by one.

Factor of [tex]1: 1[/tex]

Factors of [tex]2: 1, 2[/tex]

Factors of [tex]4: 1, 2, 4[/tex]

Factors of [tex]5: 1, 5[/tex]    

Factors of [tex]10: 1, 2, 5, 10[/tex]

Factors of [tex]20: 1, 2,4, 5, 10, 20[/tex]

Factors of [tex]101: 1,101[/tex]

Factors of [tex]202: 1,2, 101, 202[/tex]

Factors of [tex]404: 1, 2, 4, 101, 202, 404[/tex]

Factors of [tex]505: 1, 5, 101, 505[/tex]

Factors of [tex]1010: 1, 2, 5, 10, 101, 202, 505, 1010[/tex]

Clearly, [tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

Hence, [tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

Answer:

x = 80°

Step-by-step explanation:

From the picture attached,

Two lines are parallel and third line (transversal) is intersecting these lines at two different points.

m(∠x) = 80° [Exterior alternate angles are equal in measure]

Therefore, x° = 80° is the answer.

Step-by-step explanation:

Twice the sum of a number and seven

a) 2(x+7)

Answer:

down below

Step-by-step explanation:

the area of a circle is pi times radius times radius

in order to find the radius of a circle when you know the area, you need to do the area divided by 3.14. after you have done that, divide that number by 2

please give me brainliest!!

Answer:

Working backward

Step-by-step explanation:

Formula: A = πr²

All you have to do is work backwardly

If you have the area, replace the "A" with the area.

You can replace the π with "3.14"

Then divide the area by "3.14"

Then when you get your answer, divide your answer that you got by its square root --> √

Then when you do that....you get your radius....and from there on, you can check it by substituting.

Hope this helped!

Answer:

the aanswer would be 3

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(48-6^2)/4

6^2 = 36

48 - 36 = 12

12/4

3

edit: I had the wrong answer, I fixed it though

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

We are given the line:

[tex]3x-6y=18[/tex]

And we want to find the slope of the line parallel to this given line.

Remember that parallel lines have the same slope. So, if we can determine the slope of the given line, we have the slope of its parallel line.

To determine the slope of the given line, we simply have to isolate the y. So, we can first divide everything by 3. This yields:

[tex]x-2y=6[/tex]

Adding 2y to both sides yields:

[tex]x=6+2y[/tex]

And subtracting 6 from both sides yields:

[tex]x-6=2y[/tex]

Finally, dividing everything by 2 gives us:

[tex]\displaystyle y=\frac{1}{2}x-3[/tex]

Hence, the slope of our line is 1/2.

So, the slope of the line parallel to this line must also be 1/2.

52,54,56,58,60,62,64,66,68,70,72,74,76,78

Answer:

30 because of vertical angles.

Answer:

It is 30

Step-by-step explanation:

Hope this helps have an amazing day/month/year!

Answer: 13

Step-by-step explanation:

Answer:

1 bottle: $0.40

2 bottle: $1.20

5 bottle: $2.00

Step-by-step explanation:

Answer:

Cost of one is 40 cents. Cost of three $1.20. Cost of five $2.00.

Step-by-step explanation:

Divide: 2.40 divided by 6= .4

.4 times 1=.4=.40= 40 cents

.4 times 3=1.2=1.20= $1.20

.4 times 5=2=2.00= $2.00

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

Answer:

BT

angle T

AT

have a good day

Answer:

B) Vertically stretched by a factor of 3, shifted to the right by 1 unit, and shifted up 2 units.

Step-by-step explanation:

The basic transformations of a rational function as shown here can be modeled by:

[tex]f(x) = \frac{a}{b(x - h)} + k[/tex]

a = vertical stretch / compression.

b = horizontal stretch / compression.

h = horizontal shift.

k = vertical shift.

If there is a negative sign by a, then it is a vertical reflection.

If there is a negative sign by b, then it is a horizontal reflection.

_____________

As seen here, the transformations of

[tex]f(x) = 2 + \frac{3}{x–1} [/tex]

There is no b value because x - 1 is completely factored or it can just be thought of as 1. a or the vertical stretch is a factor of 3 because that is the numerator of the rational expression. There is a horizontal shift of 1 unit to the right because when x is subtracted by 1 in the rational expression, the root of x - 1 by itself is 1 greater than x. Lastly, there is a vertical shift up 2 units because that means all the values of the function will increase by 2 units which moves the whole function up 2.

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

Answer:

[tex]slope=-2\\\\y-intercept=6[/tex]

Step-by-step explanation:

The slope is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:

Therefore, the slope is -2.

The y-intercept is where [tex]x=0[/tex] and where the line crosses over the y-axis. The coordinate point where this happens is [tex](0,6)[/tex], so the y-intercept is 6.

:Done

Answer:

the answer is 3

15/(2+3)

=15/5

=3

Step-by-step explanation: