can you please help me with functions

Answer:

Step-by-step explanation:

Subtract the distance driven by Rohan from the total distance

Distance driven by Raj = 1245 - 412

                                     = 833 km

Answer:

Step-by-step explanation:

Adult's ticket price= $2.50

Children's ticket price= $1.25

One performance sells 12 more tickets to  adult than children.

In total they make $183.75.

Therefore, we have that:

1.25x+2.50(x+12)=$183.75

We solve the resulting equation for x.

Open the brackets

1.25x+2.5x+30=183.75

Collect like terms

3.75x=183.75-30

3.75x=153.75

Divide both sides by 3.75

x=41

Therefore:

Answer:

y = 6x + 1

Step-by-step explanation:

Use the point slope equation:

y - y1 = m( x - x1 )

y - 1 = 6 ( x - 0)

y - 1 = 6x

y = 6x + 1

Answer:

D

Step-by-step explanation:

The volume of a cube can be found by multiplying together all of the side lengths by each other, or:

[tex]x\cdot x \cdot x=x^3[/tex]

Therefore, the correct answer is D. Hope this helps!

Answer:

D. x^3.

Step-by-step explanation:

The volume = length*width*height

= x * x * x

= x^3.

Answer:

Step-by-step explanation:

To eliminate ambiguity please use parentheses when typing a function like this one.  I'm going to assume that you meant

f(x) = 1 / (x + 3)     -      2

Start with the graph of y = 1/x.  Its vertical asymptote is the line x = 0.  The graph never touches the x-axis.  

Translating the entire graph 3 units to the left will give you the function

h(x) = 1 / (x + 3).

Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.

Answer:

Graph B on Edge2022.

Have a great day.

Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

angles 1 and 4, and angles 2 and 3

Answer:

1 and 4, 2 and 3

Step-by-step explanation:

Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.

Answer:

I think it's number one

Step-by-step explanation:

Answer:

x=1 y=-4

Step-by-step explanation:

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 1 → (1)

y = - x - 3 → (2)

Since both are expressed in terms of y, equate the right sides, that is

- x - 3 = - 5x + 1 ( add 5x to both sides )

4x - 3 = 1 ( add 3 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 1 - 3 = - 4

Solution is (1, - 4 )

Answer:

a) The equation is y = 6x + 25 since the 25 is the initial fee.

b) We plug in 10 for x. 6 * 10 + 25 = $85.

c) We plug in 7 for x and get 6 * 7 + 25  = $69.

Answer:

see below

Step-by-step explanation:

a) y = 6x + 25  (because the 25 is the initial fee)

b) x = 10, so:  

= 6 * 10 + 25

= $85

c) x = 7, so:

= 6 * 7 + 25  

= $69

Hope this helps!

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

Step-by-step explanation:

The cosine of U is equal to the adjacent side divided by the hypotenuse.

cos(U) = 28/53

You can simplify it from there.

Answer:

Around 13.7

Step-by-step explanation:

The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:

[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]

Hope this helps!

Answer:

6x - 10

Step-by-step explanation:

2x + 4x = 6x

6 + 4 = 10

6x - 10

Answer:

The mass of the dissolved sugar and water is 11 g.

Step-by-step explanation:

When a substance is dissolved in another, they are mixed together forming a new one, therefore the new substance's mass must be the same as the sum of the individual mass of each substance mixed, because there are no leaks. In this case, there are two substances being mixed, the water which have a mass of 10 grams and the sugar which have a mass of 1 gram, therefore the final solution's mass must be equal to 11 g.

Answer

k = 3.575.

Step-by-step explanation:

Answer:

$203.71

Step-by-step explanation:

Given;

Principal = $5,000

The amount per $1.00 is given as 1.040742

The total amount earned is equal to the product of the principal and the amount per dollar.

A = Principal × amount per dollar

Substituting the values;

A = $5000 × 1.040742

A = $5203.71

Interest earned = Total amount earned - principal

Interest earned = $5203.71 - $5000

Interest earned = $203.71

Answer:

x=1/4

Step-by-step explanation:

1.distribute the 7 and 3 into parentheses

2. combine like terms

3. add 9 on both sides

4. divide both sides by 4

x=1/4

hope this helped!

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

7(x-3)+3(4-x)= -8

Expand 7(x-3) and 3(4-x)

i.e. 7x-21+12-3x= -8

4x-9=-8

Collect like terms

4x= -8+9

4x= 1

x = [tex]\frac{1}{4}[/tex]

Hope this helps!!!

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

Step-by-step explanation:

Given a point (4,80) and a slope, m = 60, these can be used to formulate the equation of the graph. Using the point-slope formula:

y - y1 = m(x - x1)

y - 80 = 60(x - 4)

y - 80 = 60x - 240

y = 60x -160

Taking the x and y-intercepts:

At y = 0

0 = 60x - 160

x = 2.7

At x = 0

y = 60(0) - 160

y = -160

The answer is A. Hope this helps ✌️

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

[tex]answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps[/tex]

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

I don't know if this has an =0 at the end, but I assume it does.

This is how you would work it out:

[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]

Answer:

X1,Y1

Step-by-step explanation:

If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.  

Hope this helps!

Answer: $22

Step-by-step explanation:

$5.50 * 4 = 22

Answer:

B. $22.00

Step-by-step explanation:

The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.

Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

One bag of shavings covers 5 square feet.

To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.

The number of bags needed for the floor of the cage is therefore :

18 / 5 = 3 3/5 bags

Answer:

0.000000207 in scientific notation = 2.07 × 10^-7

Remember it has to have one number before the decimal.

8.2 * 10^-7 in standard form = 0.00000082

YOu have to move the decimal back.

In the first box the answer is 2.07 × 10^-7.

In the second box the answer is 0.00000082.

Answer:

hypotenuse

Step-by-step explanation:

When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.

When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.

Answer: The blank would be hypotenuse if I’m not mistaken!