The graph of f(x)= x is translated 3 units down to form the graph of g(x). Which of the following is g(x)
Answers :
A: g(x)= -3x
B: g(x)= 3x
C: g(x)= x - 3
D: g(x)= x + 3

Answer:

-3

Step-by-step explanation:

Convert every fraction to an improper fraction just to make it easier.

43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)

Distribute.

= 43/10 -12/5x - 11/2 = -18/10x + 6/10

Simplify using the common denominator, which is 10.

43/10 - 24/10x - 55/10 = -18/10 + 6/10

Isolate the x.

-24/10x + 18/10 = -43/10 + 55/10 + 6/10

Simplify.

-6/10x = 18/10

Multiply by the reciprocal (basically dividing fractions)

18/10 x -10/6

= -3

Answer:

x= -3

Step-by-step explanation:

43/10-12/5x-11/2=9/5x+3/5

-6/5=12/5x=-9/5x+3/5

-6-12x=-9x+3

-3x=9

x=-3

Answer:

4/8+1/8=5/8

Step-by-step explanation:

Answer:

4/8 + 1/8 = 5/8

Step-by-step explanation:

To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!

Answer:

Hey! Here is your answer. Hope it helps.

Answer:

[tex]6,157.5ft^3[/tex]

Step-by-step explanation:

We are looking for the volume of the tank which has a cylindrical shape.

The volume of a cylinder is given by:

[tex]V=\pi r^2 h[/tex]

where r is the radius of the circular base and h is the height.

In this case we have:

diameter: [tex]d=14 ft[/tex]

and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]

also the height is: [tex]h=40ft[/tex]

we substitute these values into the equation to find the volume:

[tex]V=(3.1516)(7ft)^2(40ft)[/tex]

solving the expression:

[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]

the tank can fit [tex]6,157.5ft^3[/tex] of gas

Amount of gas filled in tank is 6,154.4 feet³

Given that;

Diameter of cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Find:

Amount of gas filled in tank

Computation:

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

Find out more information about 'Volume of tank'.

https://brainly.com/question/9870837?referrer=searchResults

Answer:

You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

Answer:

V = 523.5987756 Cubic in.

Step-by-step explanation:

The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)

In this case: V = 4 * π * (41.6667)

                    V = 4 * 130.8996939

                    V = 523.5987756 cubic inches.

Hope this helps =)

Answer: C

Step-by-step explanation:

5 is the diameter so 2.5 has to be the radius.

The volume of sphere is  v=4/3* π *r^3

v= 4/3 * 3.14 * 2.5^3

v= 65.4

Answer:

3/8 in.

Step-by-step explanation:

If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.

Answer:

its 43

Step-by-step explanation:

i had a test with the same question, i promise its right :)

Answer:

x=8 cm

Step-by-step explanation:

a + b2 = c2

6 squared  + b = 10 squared

36 + b = 100

b=100-36

b=64 squared = 8

Answer:

The answer is 8.

6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

Answer:

Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

Answer:

Angle 1 or Angle 3

Step-by-step explanation:

They are the only two that are immediately next to angle 2

Answer:

angle 1

Step-by-step explanation:

Answer:

It is possible, but you must first measure the width.

Step-by-step explanation:

It is possible, but you must be sure.

Answer:

they whould need diffrent width and length

Step-by-step explanation:

imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter

Answer:

Step-by-step explanation:

Yes, because the sample is random. If she had chosen the participants in any way other than randomly, it would not be representative of her entire school.

Answer:

multiply

Step-by-step explanation:

Answer:

[tex]c = 4 \sqrt{3} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

Answer:

Step-by-step explanation:

Hard to figure out huh

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

To learn more about difference of squares formula

https://brainly.com/question/1973152

#SPJ1

Answer:

A computer network

Step-by-step explanation:

Answer:

19.5

Step-by-step explanation:

there are two middle values in this data set so you have to add and divide them. 18+21=39

39/2= 19.5

hope this helps ! :)

Answer:

19.5

Step-by-step explanation:

middle is 18 and 21 so we need to take the average of these  2 numbers

18+21=39

39/2=19.5

Answer:

Step-by-step explanation:

The answer is There are 3 gallons

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.