look at the pic below an help pls

Answers

Answer 1

Answer:

y=2/3(x-3)^2+1

Step-by-step explanation:

The parent function of a parabola is y=x^2:

The transformation of this graph shows the parabola is shifted to the right 3 and up 1 so we apply that to our equation y=(x-3)^2+1

to solve the stretch factor:

y=a(x-3)^2+1

we can see when x=0 y=7 so we use this set

7=a(0-3)^2+1

7=a(-3)^2+1

-1 -1

6=9a

divide by 9

a=2/3

Related Questions

George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by r(x) = x² + 5x + 14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x) = x² - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r-c) (5) mean about George's new store?

A. the new store will sell 5400 items in its fifth month in business
B. The new store will have a profit of $5400 after its fifth month in business
C. The new store will have a profit of $900 after its fifth month in business
D. The new store will sell 900 items In its fifth month in business

Answers

Answer:

The new store will have a profit of $5400 after its fifth month.

(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

(Use 5 for x)

(R-C)(5) = 9(5) + 9 = 45+9 = 54

When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? does the result suggest that a sample proportion is an unbiased estimator of a population proportion? for the entire population, assume the probability of having a boy is , the probability of having a girl is , and this is not affected by how many boys or girls have previously been born.

Answers

The probability illustrates that the mean of the sample proportions equal the proportion of girls in two births.

How to calculate the probability?

The table that describes the sampling distribution of the sample proportion of girls from two births will be:

Girls Probability

0. 0.25

0.5. 0.5

1. 0.25

The mean of the sample proportions equal the proportion of girls in two births. This is illustrated as 1/2.

Also, the result suggest that the sample proportion is an unbiased estimator big the population proportion because rye sample proportion and population proportion are not the same.

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help meeeeeeeeeeeeeeeeee

Answers

Let x = number of hours washing cars

Let y = number of hours landscaping

System of equations:

[tex]10x+8y=84\\\\x=2y[/tex]

Hamza buys a car for £900 and sells it for £1,280. Write the sale price as a percentage of the original price. Give your answer to the nearest whole percent and include the % symbol.

Answers

The sale price of the car as a percentage of the original price is 142%

Percentage

Cost of buying = £900Cost of selling = £1,280

Sale price as a percentage of the original price = sale price / buying price

= 1280/900 × 100

= 1.42222222222222 × 100

= 142.22%

Approximately,

142%

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To enroll in a 30 hour spanish class, students must pay $480.50. If the language center collected a total of $19,260, how many people enrolled in the Spanish class?

Answers

Answer:

40 people

Step-by-step explanation:

480.80 times 40 this equals 19,220

x/4+7=27 what is x? how do i find x if it is in a fraction?

Answers

Answer:

x=80

Step-by-step explanation:

So normally when x is in the numerator, you multiply both sides of the equation by whatever the denominator is to cancel out the fraction. But in this case since you don't have the fraction alone, you normally want to isolate it first So let's do that

Original equation:

[tex]\frac{x}{4}+7=27[/tex]

Subtract 7 from both sides

[tex]\frac{x}{4}=20[/tex]

Multiply both sides by 4 to cancel out the denominator:

[tex]x=80[/tex]

Write a formula that will help Eli determine
how much money he will earn in one week.
Let's let
a = total amount earned
h = hours worked in one week
n = number of items repaired
b = bonus amount for each item
Use the curved parenthese '()', if required.
Do not use other parentheses like '{}' or '[]'.

Answers

The formula that will help eli determine how much money he will earn in one week is a = 9h + nb

Formula

Let

a = total amount earnedh = hours worked in one weekn = number of items repairedb = bonus amount for each itemAmount earned per hour = $9

a = (9 × h) + (n × b)

a = 9h + nb

Complete question:

Eli works in an electronics repair shop. he earns 9 dollars an hour plus a bonus for each item her repairs.

write a formula that will help eli determine how much money he will earn in one week

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Find the volume of the prism.

Answers

Answer:

V = 343

Step-by-step explanation:

V = lwh

= 7(7)(7)

= 49(7)

= 343

Help ASAP pls
Which of the following statements is true?
B
A
D
E
C
A. the segment BD bisects segment EC
B. segment AC is a perpendicular bisector
C. the segment DE is perpendicular to segment AC
D. the segment BD should be parallel to segment AE

Answers

Answer: Choice C

the segment DE is perpendicular to segment AC

==========================================================

Explanation:

The tiny square marker indicates we have a 90 degree angle, which in turn means the two segments DE and AC are perpendicular.

Furthermore, DE is a perpendicular bisector of AC because AC is broken into two equal pieces (AE and EC). The term "bisect" means "split in equal halves". We know that AE = EC due to the small tickmarks on each mentioned segment.

Choice B states "AC is a perpendicular bisector". This is incorrect because AC does not split any segments into two equal pieces. If choice B said "DE is a perpendicular bisector", then it would be correct.

Please help me with this questions. I am stuck on them. Whoever help I will mark brainlest.

Answers

The graph has been shifted to the left and moved up and stretched as scaling is done ,

What is Transformation ?

Reflecting , Rotating , Dilating a function to form a new function is called Transformation.

The graph of the function f(x) = 1/ x is given

and a transformed function is given

The graph has been shifted to the left and moved up and stretched as scaling is done ,

Therefore three types of transformation are done on the parents function.

The transformation can be seen through the graph attached.

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three pieces of piping are needed on construction site. The second piece needs to be 2m longer than the first, and the third piece needs to be 7m longer than the first, the combined length of the piping is 72m. Determine the lengths of the three pieces of pipe

Answers

Step-by-step explanation:

x + 2x + 7x

72 = 9x

72 - 9 = x

63 = x

63 ÷ 3 = 21

piece 1 = 21

piece 2 =21+2 = 23

piece 3 =21+7 = 28

21+23+28 = 72 This proves the above is correct.

Write the equation for a parabola with a focus at (9,0) and a directrix at y=-4y

Answers

The required equation of parabola is y = (-1/4)(x-9)² +4

What is a Parabola ?

A parabola is a U shaped Curve , whose all point are at same distance from a point called as Focus and a line called as Directrix.

Let (x,y) be any point on the parabola.

the distance between (x,y) and the focus and the distance between (x,y) and directrix is equal.

The focus is at (9,0) and a directrix at y= - 4

[tex]\rm \sqrt {(x-9)^2 + (y -0)^2[/tex] = | y +4|

[tex]\rm {(x-9)^2 + (y -0)^2 = (y-4)^2[/tex]

(x-9)² + y² = y² +16 -4y

On solving this

4y = - (x-9)² +16

y = (-1/4)(x-9)² +4

Therefore this is the required equation of parabola .

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These triangles
are congruent by
the triangle
congruence
postulate [ ? ]
A. SSS
B. SAS
C. Neither, they are not congruent

Answers

Answer:

ksb said did bud did did it did did gc victory in suf did did zudbxudng jc fn facing did fjgduf bdyrut during their fyrhfb hi f f7djdufj fhdf. Is A

Two mechanics worked on a car. the first mechanic worked 10 hours the second mechanic worked for 15 hours together

Answers

The rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.

Given mechanic first worked 20 hours and mechanic second worked 15 hours and they charged $1650. The sum of rates of first mechanic and second mechanic is $95 per hour.

let the rate charged by first mechanic be x .

let the rate charged by second mechanic be y.

According to question

x +y=95-----------1

20x+15y=1650----------2

Multiply equation 1 by 20 and subtract equation 2 from 1.

20x+20y-20x-15y=1900-1650

5y=250

y=50

put the value of y=50 in 1 to get the value of x.

x +y=95

x+50=95

x=95-50

x=45

Hence the rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.

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Question is incomplete as it should be as under:

Two mechanics worked on a car, the first mechanic worked 20 hrs. and the second mechanic worked 15 hours together. They charged a total of $ 1650. What is the rate charged per hour for each mechanic if the sum of the two rates per hour was $95 per hour?

Use the law of sines to find the length of side c

Answers

Answer:

B. 44.93

Step-by-step explanation:

The law of sines states
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]

where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c

In this particular problem we have

side a = 44, angle A = 46.7
side c = ? , angle C = 48

So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)

c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places

Is it possible to have a polygon whose sum of the interior angles is 850 degrees

Answers

Answer: No

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by [tex]180(n-2)[/tex]. Setting this equal to 850 degrees,

[tex]180(n-2)=850\\\\n-2=\frac{85}{18}\\\\n=\frac{121}{18}[/tex]

Since this gives n to be a non-integer value, this is an impossible situation since a polygon must have an integer number of side lengths.

Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = negative 2, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.

Answers

The graph which represents the rational function is; On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.

Which graph represents the rational function?

It follows from the task content that the rational function given is; f(x) = 3x-2/x-2.

Hence, since the numerator and denominator polynomials are of the same order, it follows that the horizontal asymptote is the quotient; 3/1 = 3.

Additionally, the vertical asymptote of the function is the value of x which renders the denominator equal to 0 and consequently, the function undefined.

Hence, x -2 = 0 and x= 2.

Answers

The distance from Bobby to the plane is 154.7 yards.

How to find the distance of the plane to Bobby using angle of elevation?

Sine law can be used to find the distance of the plane to Bobby.

Therefore,

x / sin 40 = 240 / sin 95

cross multiply

Hence,

x sin 95 = 240 sin 40

divide both sides by sin 95

x = 240 sin 40 / sin 95

x = 240 × 0.64278760968 / 0.99619469809

x = 154.08 / 0.9961

x = 154.683264732

x = 154.7 yards

Therefore, the distance from Bobby to the plane is 154.7 yards.

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Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to work to have enough to buy the shoes is given by the inequality 10x + 45 > 120, where x is the number of hours she works.
The fewest number of hours she has to work to buy the shoes is

Answers

Answer: 8

Step-by-step explanation:

[tex]10x+45 > 120\\10x+45-45 > 120-45\\10x > 75\\\frac{10x}{10} > \frac{75}{10} \\x > 7.5[/tex]

Therefore, Mel has to work at least 7.5 hours or 8 total hours.

Find the first four terms of the sequence given by the following. an=6 x (-4)^n-1, n= 1, 2, 3...

Answers

The first four terms of the sequence are 6, -24, 96 and -384

How to determine the first four terms?

The sequence is given as:

an=6(-4)^n-1

When n = 1, we have:

a(1)=6(-4)^(1-1)

This gives

a(1) = 6

When n = 2, we have:

a(2)=6(-4)^(2-1)

This gives

a(2) = -24

When n = 3, we have:

a(3)=6(-4)^(3-1)

This gives

a(3)=96

When n = 4, we have:

a(4)=6(-4)^(4-1)

This gives

a(4)=-384

Hence, the first four terms of the sequence are 6, -24, 96 and -384

Answers

Answer: 9

Step-by-step explanation:

[tex](f \circ g)(0)=f(g(0))\\\\g(0)=2\\\\\implies f(g(0))=f(2)=\boxed{9}[/tex]

You withdraw $140 from your savings account. then you withdraw $49 more. using an integer, which number represents your balance?

Answers

The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

Total rupees withdraw from saving account is $149

Let total amount in account before withdrawing is X= $500

Amount left after withdraw the money is calculated by a

AMOUNT LEFT = TOTAL AMOUNT - WITHDRAW AMOUNT

So, put the values then

Y= X($500) - $149

Y= $500 - $149

Y= $351

If we represent the balance of saving account in the integer form then it become the Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

So, The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

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Jake packed 12 jars of paint in a wooden tool box. Each jar and its contents weigh 10 ounces. The empty box weighs 1 pound 14 ounces. What is the total weight of the packed box

Answers

The total weight of the packed box is 9 lb 6 oz

According to question:

The weight of 12 jars is 12 times the weight of one jar

The weight of jars and box together is the sum of those weights.

... 12 × (10 oz) + 1 lb + 14 oz = 1 lb + 134 oz

... = 1 lb + 8 × (16 oz) + 6 oz . . . . . . 1 lb = 16 oz

... = 9 lb 6 oz

How to convert Ounces to Pounds?

1 ounce (oz) is equal to 0.0625 pounds (lb).

1 oz = (1/16) lb = 0.0625 lb

The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:

m(lb) = m(oz) / 16

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20 POINTS

A circle has a diameter of 24cm. What is its circumference?

Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer

Answers

Answer:

c = 75.36 cm

Step-by-step explanation:

The equation of the circumference is:

[tex]c=\pi d[/tex] In which "d" represents the measurement of the diameter

in this case d= 24cm, π = 3.14

Calculate the circumference:

[tex]c=\pi d=(3.14)(24)=75.36cm[/tex]

Hope this helps

A circle has a diameter of 24cm. The circumference of the circle is c = 75.36 cm.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given information;

A circle has a diameter of 24cm.

"d" represents the measurement of the diameter, so

d= 24cm, π = 3.14

Radius = d/ 2 = 12

Calculate the circumference:

The circumference of the circle = 2πr

= 2 ( 3.14 ) ( 12)

= 75.36

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Is this graph a function ?

Please help

Answers

Answer:

Yes

Step-by-step explanation:

To find out whether or not a graph is a function, we can do the vertical line test. If the vertical line only touches one point, then the graph is a function. This is because in a function, an input can only have one output.

What values of a and b make this equation true?

Answers

Answer:

a = -4

b=-29

Step-by-step explanation:

Complex number:

First write the radicals in simplest form.

i² = -1

[tex]\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)[/tex]

[tex]\sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i[/tex]

[tex]\sf \boxed{a = -4 }\\\\\boxed{b=-29}[/tex]

AD= in
Help me please, stuck on this question. Thankss

Answers

Using the cosine ratio, the value of AD in the diagram is: 2√3π in.

How to Apply the Cosine Ratio?

If we have the following given in a right triangle like triangle ADC in the diagram:

AC = 4π (hypotenuse)

AD = ? (adjacent side)

The cosine ratio, CAH would be applied, which is:

Cos 30 = adjacent/hypotenuse

Cos 30 = AD/4π

AD = cos 30 × 4π = √3/2 × 4π [cos 30 = √3/2]

AD = 2√3π in.

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What are the solutions to the equation x-7/x=6

Answers

Answer:

x=7 and x = 1

Step-by-step explanation:

This is pretty much a quadratic in disguise.
If we multiply both sides by x, we get:
x^2-7=6x
move 6x to the left
x^2-6x-7 = 0
We can either use the quadratic formula, or we can use factoring.
with factoring*, we get:
(x-7)(x+1) = 0 , and so the solution to the equation is x=7, and x=-1

*in a equation: x^2+ax+b = (x+c)(x+d), c+d equals a, and c*d equals b

On to the quadratic formula, a=1, b=-6, and c=-7, so:
(6±sqrt(36+4*7))/2 = x
=(6±8)/2
=3±4
x=7 and x = 1

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 30 meters. Find the length and width of the rectangle.

Answers

The length of the rectangle is 8m and width of the rectangle is 7m

The perimeter of a rectangle is the total length around the outside of rectangle. The total boundary of the rectangle is its perimeter If length of the rectangle is l and breadth of the rectangle is b, then perimeter ofvthe rectangle is given by P = 2 (l+b)

Given that the length and width of a rectangle are consecutive integers

Let the length of the rectangle be x+1 meter

Let the breadth of the rectangle be x meter

Also given that perimeter of the rectangle is 30 meters

To find length and breadth of the rectangle

We know that perimeter of the rectangle is P = 2 (l+b)

30 = 2 (x+x+1)

15 = 2x + 1

2x = 14

x = 7

x+1 = 8

Hence, the length of the rectangle is 8m and width of the rectangle is 7m

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A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.

f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

Answers

The true statements about the function are:

f(x) ≤ 0 over the interval [0, 2].f(x)>0 over the interval (-2,0)f(x) ≥ 0 over the interval [2,∞)

How to determine the true statement?

The table of values is given as:

x f(x)

-3 -15

-2 0

-1 3

0 0

1 -3

2 0

3 15

From the table, the function values do not exceed 0 at the interval 0 to 2.

This means that f(x) ≤ 0 over the interval [0, 2].

Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0

This means that f(x)>0 over the interval (-2,0)

Also from the table, the function values are at least 0 at the intervals greater than 2

This means that f(x) ≥ 0 over the interval [2,∞)

Hence, the true statements are (b), (d) and (e)