Which expression is equivalent to (-3)x+ (-3) (-12)?

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

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,

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answer:

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

[tex]Radius = 15ft[/tex]

[tex]Area = \pi r^2[/tex]

Where

[tex]r = Radius = 15[/tex] and [tex]\pi = 3.14[/tex]

So:

[tex]Area = 3.14 * 15^2[/tex]

[tex]Area = 3.14 * 225[/tex]

[tex]Area = 706.5ft^2[/tex]

[tex]Area = 707\ ft^2[/tex]

Answer:

what bait don't know that

Answer:

6,206

Step-by-step explanation:

it's multiplication, if anything you could just use a calculator.

<3 Enjoy,

    Dea

Answer:

The answer is 1

Step-by-step explanation:

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

Answer:

(3j) + (3m + 21)

Step-by-step explanation:

Since every time Jared goes running he runs 3 miles we should multiply j by 3. So we will have: 3j

Since every time Malia goes running she runs 3 miles we should multiply m by 3. So we will have 3m

But this month Jared ran an extra 21 miles so we will have to add that after we have multiplied both j and m by 3.

Since we want the total distance they ran that month, we need to add all of these distances.

This will give us 3j + 3m + 21.

In the answer options 3j is inside a parenthesis as well as 3m + 21. Since inside the parenthesis we only have addition and the order which we add doesn't really make a difference, the parenthesis were unnecessary but they won't affect the answer.

Answer:

(-2,-2)

Step-by-step explanation:

The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).

Answer:

y = x - 4

Step-by-step explanation:

root (4,0)

domain XER

y intercept (0,-4)

Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

Answer:

you only have to flip the inequality if you you are divide or multiplying by a negative

Answer:

vvvvvvvv

Step-by-step explanation:

A.36

B.5

C.1.70

D.7

E.3.80

F.100

G.14

H.0.64

I.1.02

J.9

Basically you dived the two numbers for your awnser

Answer:

It's a function

Step-by-step explanation:

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Answer:

102 1/3 swimmers

Step-by-step explanation:

Let

Number of swimmers on Tuesday = x

Number of swimmers on Monday = 2x

Number of swimmers on Wednesday = 3x - 11

Total swimmers for all 3 days = 625

x + 2x + (3x - 11) = 625

3x + 3x - 11 = 625

6x = 625 - 11

6x = 614

x = 614 / 6

= 102 2/6

x = 102 1/3 swimmers

Number of swimmers on Tuesday = x = 102 1/3 swimmers

Number of swimmers on Monday = 2x

= 2(102 1/3)

= 204 2/3

Number of swimmers on Wednesday = 3x - 11

=3(102 1/3) - 11

= 307 - 11

= 296

Answer:

30%

Step-by-step explanation:

Answer:

30℅

Step-by-step explanation:

hopefully this helps :)

Answer:

t

Step-by-step explanation:

Answer: The answer is shorter than and ll

Step-by-step explanation:

When multiplying the vector in the graph by a scale factor of -1/2. The resulting vector will be shorter than and II. Option D is correct.

Multiply the vector in the graph by a scale factor of Negative one-half.The resulting condition for the vector is to be determined.

The scale factor is defined as the ratio of modified change in length to the original length.

A vector is defined as phenomenon that has two independent belongings magnitude and direction. The term also denotes the mathematical or geometrical replica of such a quantity. Norms of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Here, The scale factor is -1/2, where a negative sign shows that the vector will get inverted and 1/2 implies that it will be shortened by 1/2.

Thus, when multiplying the vector in the graph by a scale factor of 1/2. The resulting vector will be shorter than and II. Option D is correct.

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Answer:$270

Step-by-step explanation:

I=PRT

Interest=principal times rate times time

Principal=1500

Rate=9%=0.09

Time=2

I=1500 times 0.09 times 2

I=1500 times 0.18

I=270

Interest=270

Total is 1500+270=1770 total paid

Step-by-step explanation:

Radius of the circle = Diameter / 2 = 2cm.

Area = pi * (Radius)² = 4pi cm².

Answer:

4[tex]\pi[/tex]

Step-by-step explanation:

Radius is always half of the diameter.

So, 4/2=2

Now that we know the radius, we find the are.

The equation for area is [tex]\pi r^2[/tex]. When you insert everything, you get....

[tex]\pi[/tex][tex]*[/tex][tex]2^{2}[/tex]  

When you put it all together, we get... 4[tex]\pi[/tex]

Hope this helped :)

Answer:

-14.4, -14 1/5, -14.04

Step-by-step explanation:

1/5=0.2

-14..04 is closest to 0 on a number line

the more i think about it the more i doubt myself but i hope its right. pretty sure it is.  

Answer:

60 books in one bookcase

12 books in one shelf

plz mark brainliest

Step-by-step explanation:

figures is one bookshelf =240/4

figures in each shelf=240/4*5

Answer:

y = 2

Step-by-step explanation:

Given

y + 7 = 9 ( subtract 7 from both sides )

y = 2

Simplifying

y + 7 = 9

Reorder the terms:

7 + y = 9

Solving

7 + y = 9

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + y = 9 + -7

Combine like terms: 7 + -7 = 0

0 + y = 9 + -7

y = 9 + -7

Combine like terms: 9 + -7 = 2

y = 2

Simplifying

y = 2

-FrxziteTheLxoser- I hoped i helped you today! :)

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Answer:

2x= 3x-7

-x=-7

x=7

so, the first option

Step-by-step explanation:

Answer:

C. angle-side-angle

D. angle-angle-side

Step-by-step explanation:

A triangle is bounded by three sides, thus it has three angle. When two triangles are compared, the length of sides and angles could be similar or not. Thus, the triangle may be congruent or not congruent.

The relationship between congruent triangles can be expressed as regards to their sides, angles, or both.

From the given question, when the three angles of two given triangles are the same, then the two triangles are congruent. This relationship can be expressed as Angle-Angle-Angle.

Also, when two triangles have two equal sides and an included angle to be equal (i.e Side-Angle-Side), then they are congruent.

9514 1404 393

Answer:

  a) 13%

  b) 65.9%

Step-by-step explanation:

a) You can use n=1 to find the percentage remaining at the end of 1 hour:

  P = 100(0.87^1) = 87

This is 13% less than 100%, so the decay rate per hour is 13%.

__

b) Fill in n=3 and evaluate the expression.

  P = 100(0.87^3) = 65.8503

After 3 hours, about 65.9% of the caffeine remains.