Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one half times the quantity x plus 4 end quantity squared minus 3 question mark

The graph of g(x) is narrower than f(x) and is shifted to the right 4 units and down 3 units.
The graph of g(x) is narrower than f(x) and is shifted to the left 4 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the right 4 units and down 3 units.

Answer:

300 non student tickets were sold

Step-by-step explanation:

Let's solve the equation step by step,

In order to solve for how many non student tickets were sold, let's make an equation

5.50x + 8.00y = 5700 --------(equation 1)

x + y = 900 ---------------(equation 2)

Let's solve for x and y

5.5x+8y=5700;x+y=900

Rewrite equations:

x+y=900;5.5x+8y=5700

Step: Solve x+y=900 for x:

x+y=900

x+y+−y=900+−y(Add -y to both sides)

x=−y+900

Step: Substitute−y+900forxin5.5x+8y=5700:

5.5x+8y=5700

5.5(−y+900)+8y=5700

2.5y+4950=5700(Simplify both sides of the equation)

2.5y+4950+−4950=5700+−4950(Add -4950 to both sides)

2.5y=750

2.5y/2.5 = 750/2.5

(Divide both sides by 2.5)

y=300

Step: Substitute300foryinx=−y+900:

x=−y+900

x=−300+900

x=600(Simplify both sides of the equation)

Answer: 120d + 1,500 = 110d + 2,500

Step-by-step explanation:

Answer:

$1,500 + 120d = $2,500 + 110d

Step-by-step explanation:

Just in case you want the solution as well:

10d = 1000

d = 100

Using algebraic expressions and equations, Carol should buy 2 t-shirts and 9 sweatshirts.

We can set up an algebraic expressions and equations to determine how many of each type of gift should Carol buy.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

1. Write an equation for the total number of members.

x + y = 11   (equation 1)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

2. If each t-shirt costs $5 and each sweatshirt costs $12, write an equation for the total amount spent buying the gift.

$5(x) + $12(y) = $118     (equation 2)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

3. Rewrite equation 1 as an equation of y in terms of x.

x + y = 11   (equation 1)

y = 11 - x

4 . Plug in the expression for y in equation 2 and solve for x.

$5(x) + $12(y) = $118     (equation 2)

5x + 12(11 - x) = 118

5x + 132 - 12x = 118

-7x = -14

x = 2

5. Substitute the value of x in either equation 1 or 2 and solve for x.

x + y = 11   (equation 1)

2 + y = 11

y = 11 - 2

y = 9

Hence, Carol should buy 2 t-shirts and 9 sweatshirts.

Checking,

2 + 9 = 11

Each member will receive a gift.

2($5) + 9($12) =$118

Carol will be spending $118 for the gifts.

Learn more about algebraic expressions and equations here: https://brainly.com/question/13818690

#SPJ4

The aspect ratio of the desk is 3:2

Aspect ratio can be described as the ration of the width to the height of an object

The desk is 36 inches long

The width is 24 inches

The aspect ratio can be calculated as follows

= 36/24

= 6/4

= 3/2

Hence the aspect ratio is 3:2

Read more on aspect ratio here

https://brainly.com/question/17101115?referrer=searchResults

#SPJ1

Answer: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

85 degrees

Step-by-step explanation:

a line equals 180 degrees.

so 180-140= 40 degrees one of the missing angles in the triangle.

180 degrees is the full amount of degrees the angles of a triangle can equal.

So we have to add up the angles we know...

55+40=95 degrees

and subtract them from 180...

180-95=85 degrees

x=85

Answer:

x is equal to 15.

Step-by-step explanation:

In this problem, it is said that ΔABC ~ ΔXYZ. This means that the shapes are the same, however they are not the same size. Here the problem is asking for the value of x when the triangle is scaled up.

Look on the triangles for where there are values on both ABC and XYZ. Notice that the hypotenuse for both triangles have a value.

The hypotenuse of triangle XYZ is 10, while the hypotenuse of triangle ABC is 25. Dividing both of those results by 10 results in a 1:2.5 ratio, meaning that the values of triangle ABC are 2.5 times larger than the values of triangle XYZ.

Knowing this, take the value of XZ on triangle XYZ, and multiply it by 2.5 to get the value of AC on triangle ABC, or x.

6 * 2.5 = 15

The value of x is 15.

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar that means that the sides are proportional.  There are a couple of ways to find x.  One way is to find the scale factor.  We can use the two corresponding sides that we know.  25 and 10 are corresponding sides.  They are both the hypotenuse of their triangles or you can say that they are both the side across from the 90 degree angle.

There is some number that I can multiple 10 by to get 25.  This is my scale factor.  This is how I can find it.

Let s = the scale factor.

10s = 25  Divide both sides of the equation by 10

s = 2.5  This means that each side of the larger triangle is 2.5 times longer than each side of the original triangle.  

To find x.  Find is corresponding side on the right and take that length and multiple it by 2.5

6 x 2.5 = 15

Another way is to set up a proportion.

[tex]\frac{10}{6}[/tex] = [tex]\frac{25}{x}[/tex]    I could cross multiply and solve for x

10x = (6)(25)

10x = 150  Divide both sides by 10

x = 15

Using the probability concept, it is found that 60% of the swim team are sophomores.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The sum of the probabilities of all outcomes of an event is of 1, hence:

P(freshman) + P(sophomore) = 1.

The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected, hence:

x + 3/2x = 1.

5/2x = 1

5x = 2

x = 0.4.

Thus:

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

27 students

Step-by-step explanation:

Split 18 into 2 to find 1/3. 18/2= 9

9= 1/3

18= 2/3

27= 3/3 or 1

Answer:

There are 27 students.

Step-by-step explanation:

Given that,

→ 2/3

→ 18 ÷ 2

→ 9 = 1/3

Now the number of students are,

→ x = (2/3) + (1/3)

→ x = 18 + 9

→ [ x = 27 ]

Hence, there are 27 students.

Answer: 0.1, 1.5, 7/4, 2, 4

Step-by-step explanation:

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ {7x}^{2} + 4x - {x}^{2}}[/tex]

[tex] \: \: \text{Reorder and gather like terms}[/tex]

[tex] \: \: \rm{( {7x}^{2} - {x}^{2} ) + 4x}[/tex]

[tex] \: \: \text{Collect coeffiecients of like terms}[/tex]

[tex] \: \: \rm{(7 - 1) {x}^{2} + 4x}[/tex]

[tex] \: \: \text{Calculate the sum or difference}[/tex]

[tex] \: \: \rm{ \underline{ \underline{ {6x}^{2} + 4x}}}[/tex]

[tex] \rm{6x {}^{2} + 4x}[/tex]

Collect like terms

[tex] \red{7x {}^{2} } + 4x \red{ - x {}^{2} }[/tex]

[tex] \red{6x {}^{2} } + 4x [/tex]

Answer:

He runs 20% or 1/5 of the total distance the first day

Step-by-step explanation:

We know this due to the fact that 2km / 10km is equal to 1/5 and we then know that 1/5 equates to the percentage equivalence value of 20%

Answer:

f(p) = 18p + 40

Step-by-step explanation:

Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p

They already have 40 pizzas

So  total number of pizzas at any time p is f(p) = 18p + 40

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

To know more about Horizontal line test, visit:

https://brainly.com/question/28208081

#SPJ4

Answer: car a must be meet to cannot be so your aner is a

Step-by-step explanation:

A ratio can be introduced as an ordered pair of numbers, and it can be represented as x:y.

A ratio can be introduced or described as an ordered pair of numbers.

For example, given two numbers x and y, where y is not equal to 0, the ratio can be represented as follows:

x:y

For example, let x represent the number of plates and equal to 2, and y represents the number of spoons and equal to 5, we will have the ratio as follows:

2:5

The ratio 2:5 implies that for every 2 plated there are 5 spoons.

Learn more about ratios here: https://brainly.com/question/13419413.

#SPJ1

The best description of the domain of the function is (c) all whole numbers

The function is given as

C(t) = 0.05t + 20

The input variable of the above function is t

t represents the number of text messages

The number of text messages cannot be negative

Hence, the best description of the domain of the function is (c) all whole numbers

Read more about domain at:

https://brainly.com/question/2264373

#SPJ1

The value of FG is 32.

The drawing is attached with this.

Given that,

Value of EF = 11

Value of EG = 21

From the above given data we can assume that F and G be the corner points.

E is the point lie between F and G.

We have to find the value of FG. It may be a straight line.

So,

Value of FG = Value of EF + Value of EG

FG = 11 + 21

FG = 32

That is, the value of FG is 32.

Learn more about value of line here: https://brainly.com/question/6911151

#SPJ1

Answer:

3/25

Step-by-step explanation:

Answer: 12 hours

Step-by-step explanation: divided 24 by 4, which equals to 6, if Jack worked 2/4 of the day, he would have worked half the day, which is 12 hours.

Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

Step-by-step explanation:

(3.5q³k^4)³                    (2q²k³)²

(42.875 q^9 k^12)      (4 q^4 k^6)

171.5 q^13 k^18

The answer is C.

Answer:

-2(7+2n) +4 = 5

step by step explantation:

-2(7-n) +4

-2×7 =-14

-2x-n = 2n

14+2n = 4

2n = 14 - 4

2n/ 2= 10/2

n= 5

Using Dot product

Two vectors x and y are said to be orthogonal if their dot product is zero

⇒ x.y = 0

This is because orthogonal vectors are make an angle of 90° with each other and therefore θ becomes 90°

Dot product is given by :

x.y = x*y*cosθ = xycos90°

∵cos90° is zero , x.y=0 for orthogonal vectors.

Let u,v,y be vectors in R

y is orthogonal to u and v

⇒ y.u = 0   and  y.v=0

Now, we have to prove that y is orthogonal to (u+v)

The dot product of these vectors is given by:

y.(u+v) = y.u + y.v  (Dot product is distributive) = 0 + 0 = 0

∵The dot product is zero , vector y and (u+v) are orthogonal

(To know more about Dot Product : https://brainly.in/question/53076397)

Answer: No

Step-by-step explanation:

No because its off by 1 point, -1/2, 0, 1/2

Answer: Human calculator says 21 x 21 = 441!

Good Luck!

Approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

To fin the circumference:

So,

Therefore, approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

Know more about the circumference of a circle here:

https://brainly.com/question/20489969

#SPJ4