Determine a and k so the given points are on the graph of the function.
(1,18), (2,3); y= a(x + 1)2 +k

Answers

Answer 1

Step-by-step explanation:

Explanation:

Because

(2,6) is in the function, we can plug

6 as y

and

2 as x.

From that we get

6=a(2−1)2+k

6=a+k

Same for the next point:

12=a(3−1)2+k

12=22a+k

12=4a+k

Now we have this system of equations to solve:

a+k=6

4a+k=12

Solving it leads to the conclusion that

a=2,k=4 .


Related Questions

Solve using the quadratic formula? 2x2 + x - 15 = 0

Answers

Answer:

x= 5/2,-3

Step-by-step explanation:

Answer:

x= 5/2 or -3

Step-by-step explanation:

There can be no more than 835 people in the concert hall.

What inequality represents the number of people, p, allowed in the concert hall?

Drag and drop the appropriate symbol to correctly complete the inequality.

p Response area835

Answers

the inequality is 835>p . i hope this helped !!

pls help me i will name u brainiest

Answers

Answer:

1.)6 bottles

2.) 2.50 and 10

3.) 5 and 1 if you graph both of the equation, they both intersect at (5,1)

Step-by-step explanation:

Only for snowflake plz no one else

Answers

Answer:

hey....

Step-by-step explanation:

Answer:

(my other account) hi...

Step-by-step explanation:

Which expression is equivalent to (x⁶y⁸)³/x²y²​

Answers

The equivalent expression is [tex]x^{16}y^{22}[/tex]

Espadol
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.05 per pound, and type B coffee costs $5.40 per
pound. This month, Yolanda made 153 pounds of the blend, for a total cost of $699.30. How many pounds of type A coffee did she use?
Number of pounds of type A coffee:(
5
?

Answers

Answer:

94 pound of type A

Step-by-step explanation:

if a=1 b=2 c=3 find the value of 4a3b2

Answers

Answer:

14

Step-by-step explanation:

a4=4

3b=2 x 3=6

2c=2 x 3=6

Answer:

48

Step-by-step explanation:

We just need to put in the values of a and b.

4a3b² = 4(1) × 3(2)²

          = 4 × 3(4)

          = 4 × 12

          = 48

Aubree mowed 12 lawns in 10 hours. What was her rate of mowing in hours per
Lawn?

Answers

Answer: 1.25 lawns/per hour

Step-by-step explanation:

whats the slope of y= 1 over 2x-2

Answers

Use Cymath to find your answer

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Answers

i think it’s answer 8

Find the final price of the item.
CD player: $87.95
discount: 35%
tax: 5.75%

Answers

Answer:

$60.47

Step-by-step explanation:

not sure. I'm not too familiar with this math, so I kinda winged it, hope this helps

Which function is best represented by the graph?

Answers

Answer:

J

Step-by-step explanation:

First look at the y-intercept. When y=0, you get 8 on the graph, so in the equation it has to give you 8 as well.

This narrows it down to F G J

Next, the slope of the graph is negative because its tilting downwards.

This narrows it down to G J

Finally, on the graph when y=0, you get 6, so the equation has to meet this too

With your choices narrowed down to G and J, calculate the x-intercepts.

0= -4/3x+8

-8= -4/3x

-8(-3/4)=x

x=6

Answer:

The answer is J

Step-by-step explanation:

the y-intercept is 8 and to find the slope you count rise over run, well the graph is too small to tell what points are actually on the lines, but it's given that (0,8) and (6,0) are points. making the rise/run= to 8/6 and then simplify to 4/3. and you can tell that the slope is negative because it's going downward from left to right.

help with math? heres the question.
-
answer options:
8
2
5
3

Answers

the correct answer is 3
38x-2=112
add 2 to both sides you then get
38x=114
divide 38 by both sides
and you will get 3 hope that helps

John runs 15 miles in 3 hours how many miles can john runs per hour

Answers

Answer:25

Evan has a summer job to pick berries on a farm.

• He earns  

$

2.0$2.00 every

15

15 minutes that he picks strawberries.

• He earns  

$

2.40

$2.40 for every

15

15 minutes that he picks blueberries.

• He picked strawberries for an hour and blueberries for

45

45 minutes.

How much money did Evan earn?

Step-by-step explanation:

Answer:

john can run 5 miles in one hour

Step-by-step explanation:

15 divided by 3 = 5

Okay please help if your just gonna answer for points then don't do it, if you want points tell me in the comment and I'll make a points thing but just please don't answer this if you don't know lol!! Thanks guys

Okay so ur at a party and they have donuts, 5/25 of the donuts are eaten. What percent of them are left?

If it's not too much trouble could you explain how to solve it? If not I guess I'll live:(

Answers

Answer:

80%

Step-by-step explanation:

100%= 25/25. 1 donut = 5%. So you have 20 donuts left x 5.

Answer:

80% are left.

Step-by-step explanation:

So 100 donuts would be 100%. To get to 100 you need to multiply 25x4. Then you also need to multiply 5x4=20. Since it is the 5 that are eaten, you subtract 20 from 100 and get 80, so you are left with 80% of the donuts.

Which statements accurately compare the functions in the graph? Select two options.

Neither function has a maximum value.
The functions share a y-intercept of –1.
The functions share an x-intercept of 1.
Both functions have a range of all real numbers.
Both functions have a domain of all real numbers.

Answers

Answer:

The functions share a y-intercept of –1.

Both functions have a range of all real numbers.

Step-by-step explanation:

They are marked on the y axis with the point, (0,-1)

Secondly, becuase both go along the range, or y axis line, I believe it is is both functions have an all real numbers range.

Hope this helps, let me know if I'm wrong.

The functions share a Y-intercept of –1.

Both functions have a range of all real numbers.

What is real number?

Real number is a set of numbers that has integers, rational numbers, and natural numbers.

Here, we can see, both the functions meet on the Y-axis at a point (0,-1).

Therefore, Both the functions share a Y-intercept of –1.

Again, both the functions have a certain value of Y for a given value f X. Hence, both functions have a range of all real numbers.

Learn more about real numbers here: https://brainly.com/question/10547079

#Tag #SPJ2

turn 12 1/2 into a decimal

Answers

Answer:

12.5 hehe brainliest plz

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

12 × 2 = 24

Step 2: Add the product you got in Step 1 to the numerator:

24 + 1 = 25

Step 3: Divide the sum from Step 2 by the denominator:

25 ÷ 2 = 12.5

If two opposite sides of a quadrilateral are perpendiculat and congruent, then
the quadrilateral is a parallelogram.
OA. True
OB. False

Answers

Answer: The answer is true.

Solve the inequality − 3 x + 6 > 15

Answers

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Ayeeee dis tooooo helllllp bcjsjznbznsj

Answers

Answer:

-1

Step-by-step explanation:

You have to do rise over run.

One thing we already know is that the slope is negative because it's pointing in this direction \ <======

I will make a picture.

But the rise is 4 and the run is 4 so the slope is -1x or just -x

Hope this helps ya!!

Answer:

Equation of line: y = -x + 4

Slope: -1

Hopw this helps :)

please help me out thanks!

Answers

Answer:

[tex]\frac{-1}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[tex]\frac{b+7}{2a}[/tex]

a = -4

b = -6

Step 2: Evaluate

Substitute:                     [tex]\frac{-6+7}{2(-4)}[/tex]Multiply:                         [tex]\frac{-6+7}{-8}[/tex]Add:                               [tex]\frac{1}{-8}[/tex]Rewrite:                         [tex]\frac{-1}{8}[/tex]

Probability 1 There is a chance of a spinner landing on blue. Which statement is true? A lis unlikely that the spinner lands on blue. B. It is likely that the spinner lands on blue. C. It is impossible for the spinner to land on blue. D. It is certain that the spingerlands on blue.​

Answers

Answer:

B makes most sense.

Step-by-step explanation:

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?

Answers

Answer:

138.5°

Step-by-step explanation:

A peach pie is in the form of a circle. The sum of angles in a pie is equal to 360°.

Since there are 13 peaches evenly distributed, therefore each peach occupies 360/13 degrees.

Joe ate one slice of pie that contained exactly 5 peaches, hence:

Angle measure of slice = (number of peaches in the slice / total number of peaches) * 360°

Angle measure of slice = (5 / 13) * 360°

Angle measure of slice = 138.5°

help me, please i im failing maath 41 f

Answers

Answer:

C

Step-by-step explanation:

The points (5, -5) and (9, r) lle
lle on a line with slope - 2. Find the missing coordinate r.

Answers

(r+5)/(9-5) = -2
(r+5)/(4) = -2
r+5 = -8
Solution: r = -13

Grant bought strawberries and bananas from the grocery store to make smoothies. The total amount he spent can be represented by the expression 1.8s + 0.65b, where s is the number of pounds of strawberries and b is the number of pounds bananas. If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas, how much did he spend? Amount spent can be represented by the exper

Answers

Answer:

$5.77

Step-by-step explanation:

Given expression:

1.8s + 0.65b

where,

s = the number of pounds of strawberries

b = the number of pounds bananas

If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas

s = 2.7 pounds

b = 1.4 pounds

how much did he spend?

1.8s + 0.65b

= 1.8(2.7) + 0.65(1.4)

= 4.86 + 0.91

= $5.77

He spent $5.77 on both items

.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee

Answers

Answer:

Step-by-step explanation:

.6(2k-3)=3(4k+5) foil

1.2K-1.8=12k+15 subtract 1.5k from both sides

-1.8=10.8k+15 subtract 15 from both sides

-16.8=10.8k divide by 10.8

k= -1.5

Which ones are Whole numbers?
π
-0.5
0
1123

Answers

Answer:

0 and 1123

Step-by-step explanation:

The correct answer is 0 and 1123
Plz mark brainlyest

How many of you guys agree that Ariana Grande's head is big?​

Answers

ion think her head is not that big. lol

Answer:

Ummm hahahaha kindaaaa

Step-by-step explanation:

Find the missing side length of the right triangle below

Answers

the missing side length should be 7

The length of base of the triangle is given by BC = 7 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle BC = a

Let the hypotenuse of the triangle be c = 25 feet

Let the height of the triangle be b = 24 feet

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the base BC = √ ( 25 )² - ( 24 )²

The base of the triangle BC = √ ( 625 - 576 )

The base of the triangle BC = √ ( 49 )

The base of the triangle BC = 7 feet

Hence , the length of base of triangle is 7 feet

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

Other Questions
Tacos or burritos? i like tacos better A company's managers have decided to issue bonds to raise financial capital. What is the first step in this process? A. Selling the bonds to investors B. Contacting a financial advisory firm C. Filing documents with the SEC D. Determining the firm's creditworthiness E. Preparing documentation Can someone answer 3for me please? A farmer learns of a new type of corn that is supposed to have a higher yield of ears. From previous crops, he knows approximately how many ears of corn 10 plants will produce from the original seeds. The farmer decides to plant the new type of corn to determine if the seeds will produce a higher number of ears of corn. He plants the first 100 seeds of the new type of corn seeds in the field he uses for corn. When it is time to harvest, he randomly selects 10 plants and counts the number of ears. The farmer compares the number of ears with the yield he received the previous year from 10 plants using the original corn seeds. Because the new type of corn produced a higher number of ears, he concludes that the new type of corn does produce more ears of corn. Which of the following statements is not true about this experimental design?Because the farmer used the seeds from the top of the packet and did not randomly select the seeds, the conclusion is suspect.Because the farmer used a comparison between the yield of the new type of corn and the yield from the previous corn seeds, the conclusion is valid.There may be other variables that affected the yield of corn between this years crop and last years crop; therefore, the conclusion would be suspect.Because the farmer did not have two groups growing at the same time, one with the new type of corn and one with the original type of corn, the conclusion may be suspect. How did electricity change where factories were located PLEASE ANSER ASAP WILL GIVE BRAINLIEST IF GOTTEN RIGHT When is it important to know the precise meanings of all scientific terms in an article?a.) when you are reading just to pass the timeb.) when you plan to become an expert on the topicc.) when you want to satisfy your curiosityd.) when you need to answer a research question Which excerpts from the story best support theanswer in Part A?Select the two correct answers.i couldnt find the answer :( Plssss help plsssssss . Which of the following natural disasters is likely to cause the most widespread damage in a coastal ecosystem? 1. En el ao 2017 se realizar el primer torneo____de ftbol femenino en Mxico.2. En cada club de la liga, al menos dos jugadoras deben ser____.3. Inicialmente, todas las____deben ser mexicanas.4. Para la operacin____de la liga, se requieren los aportes de todos los clubes.5. En el ao 2014, la FIFA realiz un_____sobre el ftbol femenino.6. El primer torneo de ftbol femenino mexicano comenzar en______de 2017. What is the name of the piece above? hey guys need help again -4/5 divided by 1/3 Hiking The scatter plot shows a hiker's elevation above sea level during a hikefrom the base to the top of a mountain. The equation of a trend line for thehiker's elevation is y = 7.81x + 672, where x represents the number of minutesand y represents the hiker's elevation in feet. Use the equation of the trend lineto estimate the hiker's elevation after 155 minutes.Please help Im so tired Determine which of the mapping diagrams represents a relation that is not a function. A. A mapping diagram with negative 5 pointing to negative 4 and 3; negative 1 pointing to 5; 7 pointing to 8. B. A mapping diagram with negative 4 pointing to negative 5; 3 pointing to negative 5; 5 pointing to negative 1; 8 pointing to 7. C. A mapping diagram with negative 4 pointing to negative 9; 3 pointing to negative 5; 5 pointing to negative 1; 8 pointing to 7. D. A mapping diagram with negative 5 pointing to negative 1; negative 1 pointing to negative 1; 7 pointing to negative 1. I NEED HELP ASAP PLZZZZZZZZ 20 POINTS AND BRAINLYA chemistry teacher needs to make a 42% sulphuric acid solution. The acid solutions available are 4 liters of 30% sulphuric acid and 50% sulphuric acid, by volume. How many liters of the 50% sulphuric acid solution must be mixed with the 4 liters in order to make the 42% sulphuric acid solution? FormulasSpeed = distance / timeTime = distance / speedDistance = speed x timeA bowling ball rolls 30 meters in 4 seconds. What speed did it travel?distance = 30mtime = 45speed = ? Given:Quadrilateral ABCD is similar to Quadrilateral GHIJ.Find the value of x. A. 4.5 B. 8 C. 9 D. 12 E. 18 _9) What are the solutions of the equation (x 3)2 + 2(x 3) - 8 = 0?A) x = -5 and x = 1B) x = -1 and x = 5C) x = -1 and x = -7D) x = 1 and x = 7Help please Jessica retired at age 65. On the date of her retirement, the balance in her traditional IRA was $218,000. Over the years, Jessica had made $21,800 of nondeductible contributions and $69,000 of deductible contributions to the account. If Jessica receives a $68,000 distribution from the IRA on the date of retirement, what amount of the distribution is taxable? and its not 51000