The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

Answer:

(x+1)^2+7

Step-by-step explanation:

khan academy


Related Questions

which is a factor pair of 72?

A) 12,6

B) 14,5

C)23,4

D)24,2

Answers

Answer:

the answer is A) 12,6. .

Step-by-step explanation:

.

If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?

Answers

Answer:

You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.

Step-by-step explanation:

[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]

A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is
5 feet tall. What is the height of the tree?

Answers

3 feet tall hope this helps:)

Find Percent of Change
1.) 200 to 500.
is the answer 40?
if not please explain...​

Answers

Answer: I think it is

Step-by-step explanation:

Answer:

150% increase

Step-by-step explanation:

Calculate percentage change

from V1 = 200 to V2 = 500

(V2−V1)|V1|×100

=(500−200)|200|×100

=300200×100

=1.5×100

=150%change

=150%increase

Can someone help me? And explain it to me pls<3

Answers

Alright, so, we know that the team started at about 9 1/2 yards right?
Well, since they lost 9 1/1 yards after, we would go negative on the number line meaning that we would move 9 1/2 spaces to the left of the number line.
Now, when we move 9 1/2 spaces to the left of the number line, we get the answer if 0.5 yards.
Glad I could help

If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?

Answers

Answer:

$4500

Step-by-step explanation:

Simple Interest formula = Principal × Rate × Time

Let the amount of the money invested at 8% Interest = x

Hence:

$5000 × 6% × 1 + x × 8% × 1 = $660

$300 + 0.08x = $660

0.08x = $660 - $300

0.08x = $360

x = $360/0.08

x = $4500

Therefore , the amount that must be invested at 8% interest is $4500

answers for the 2 boxes please :)​

Answers

(-3,-6) i hope this helps
have a great day!:)

need a quick answer please

Answers

Answer:

-3, 6

Step-by-step explanation:

This one was on my unit test

NEED HELP ASAP WILL GIVE BRAINLIEST! :)

Answers

Answer:

it adds up to 180 so the missing parts would be whats left.

Step-by-step explanation: 35 +105=( you fill it in)

the numbe you filled in minuse 180

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.

Answers

Answer:

The price to make maximum revenue is 1 and the maximum revenue is 2000.

Step-by-step explanation:

Consider the provided information.

Revenue is the product of the number of sales and the sales price.

Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].

[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]

[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.

The vertex(axis of symmetry) of a downward parabola has the maximum point.

The axis of symmetry is  [tex]x=\frac{-b}{2a}[/tex]  for the quadratic equation [tex]ax^2+bx+c=0[/tex].

By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:

[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]

Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .

[tex]p=\frac{-4000}{2(-2000)}[/tex]

[tex]p=1[/tex]

So revenue will be maximum for [tex]p=1[/tex].

Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]

[tex]\text{Revenue}=-2000 + 4000[/tex]

[tex]\text{Revenue}=2000[/tex]

Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.

Maximum revenue generated = $2000

Price at which the maximum revenue is generated = $1

Maximization of the revenue:

Steps to find the maximum revenue,

Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.

Given in the question,

Price of one cookie = p    Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',

        x = -2000p + 4000

Expression for the revenue generated = Price of one cookie × Number of cookies sold

R = p(-2000p + 4000)

R = -2000p² + 4000p

For the maximum revenue,

"Find the derivative of the expression for revenue and equate it to zero"

R' = -4000p + 4000 = 0

4000p = 4000

p = $1

For p = 1,

R = -2000(1) + 4000

R = $2000

       Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.

Learn more about the maximization here,

https://brainly.com/question/11859895?referrer=searchResults

6(x+4)+1= pleaseee help

Answers

The answer is this I think 6x+25

What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)

Please help

Answers

Answer:

C. (3,-2)

Step-by-step explanation:

Please answer will give the point thing

Answers

pizzas cost $8 and sandwiches cost $2.50

solve the system by graphing.
y = -x + 5

y = x + 1

Answers

Step-by-step explanation:

the answer from the graph is:

(2 , 3)

15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?

Answers

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

10 (4p - 2k)(3)
In distributive property?

Answers

Answer:

10 ( 12p - 6k)

Step-by-step explanation:

4p x 3 = 12p

2k x 3 = 6k

you cannot subtract 12p and 6k bcuz they do not have the same variables.

Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?

Answers

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

What is 9,000.000.000.000.000.000.X 12.000.000.000.000.000.000.000.000.000.000

Answers

Answer:

108000.

Step-by-step explanation:

9,000 x 12

The temperature is -2 °C. If the temperature rises by 15 °C, what is the new temperature?

Answers

Answer:

The answer is 13°C because 15-2 gives you 13

Step-by-step explanation:

Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,

Answers

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct

I need help solving this practice question ​

Answers

[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]

Fun fact

Bananas are curved because they grow towards the sun ☀️

Answer: the answer is 18

Step-by-step explanation:

What is the Equation of the Line Passes through the points (-4,8) and (1,3)

show work please, i need these asap and thx for trying :)

Answers

Answer: y = –x + 4

Explanation:

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Add. Write your answer as a mixed number in simplest form.

6 5/6 + 2 1/9

Answers

Answer: 8 17/18

Step-by-step explanation:

6 5/6 + 2 1/9

Turn to improper fractions

41/6 + 19/9

Find LCM

LCM = 18

123/18 + 38/18 = 161/18

8 17/18

PLEASE HELP ASAP!!
When retested on the WAIS, people's second scores generally match their first scores
quite closely. This indicates that the test has a high degree of:

A. Heritability
B. Content validity
C. Predictive validity
D. Reliability

Answers

Answer:

D. Reliability

Step-by-step explanation:

Answer:

the answer is b because the same score means more validity

if two angles in a triangle are 40° and 30°, then the third angle measures 110

Answers

Answer:

Si

Step-by-step explanation:

Twice the difference of a number and 4 is 3.​

Answers

Alright let’s use the variable X here for example.

2(X - 4) = 3
And that missing number is 5 1/2.
Which now equals 3.

Help plss I will mark as brainlest if correct

Answers

Answer:

y= - 1/4x - 3

Step-by-step explanation:

How many times should you multiply 15 to equal 60 seconds

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP I NEED THE ANSWER QUICK!!!


What is the Length/ value of N

Answers

Answer:

n = 104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)
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