Answers
Answer:
a=-5, k=31
Step-by-step explanation:
Determine a and k so the given points are on the graph of the function:
(1,11) (2,-14)
[tex]y=a(x+1)^2+k[/tex]
To find the required values, we substitute the points into the equation:
[tex]11=a(1+1)^2+k[/tex]
[tex]-14=a(2+1)^2+k[/tex]
Operating:
[tex]11=a(2)^2+k[/tex]
[tex]-14=a(3)^2+k[/tex]
Simplifying:
[tex]11=4a+k[/tex]
[tex]-14=9a+k[/tex]
Subtract the second equation from the first equation:
[tex]11+14=4a-9a[/tex]
Simplifying:
[tex]25=-5a[/tex]
Solving:
[tex]a=25/(-5)=-5[/tex]
a=-5
Use this equation to find k:
[tex]11=4a+k[/tex]
[tex]11=4(-5)+k[/tex]
[tex]11=-20+k[/tex]
k=31
a=-5, k=31
Answer:
a = -5
k = 31
Plz Mark brainliest!!!
Related Questions
Janet, Rosi, and Tanya buy postcards from their favorite souvenir shop Janet buys 3 postcards for $1.05 Rosie by five postcards for $1.75 Tanya Buys eight postcards for $3.80 are the cost why in dollars and the numbers of postcards extra personal explain your answer right in equation to represent the relationship if possible
Answers
Answer:
Total Amount spent on all the cards = $ 42.3
No of cards = 16 .
Step-by-step explanation:
The cost is calculated by multiplying the number of items with their costs. As we have different costs for each card we will add the costs of different cards to get the total costs.
Janet buys 3 postcards for $1.05.
Janet spends 3* $1.05= $ 3.15
Rosie buys five postcards for $1.75
Rosie spends 5 * $ 1.75= $ 8.75
Tanya buys eight postcards for $3.80
Tanya spends 8 * $3.80 = $ 30.4
Total Amount spent on all the cards = $ 3.15+$ 8.75+$ 30.4= $ 42.3
No of cards = 3 + 5+ 8= 16 cards were bought .
To rent a midsize car for one day, Speedy charges a flat rate of $41 plus an additional fee of $0.10 per mile driven. Write an equation that relates the total cost of the car rental for one day as a function of the number of miles driven .
Answers
Answer:
C(m) = 41(flat rate) + .10m(rate per mile)
Step-by-step explanation:
What is the equation of the line through (-1,-5) and perpendicular to y = = 5x + 5?
Answers
Answer:⬇️
Step-by-step explanation:
Reorder 5 5 and 5x 5 x . Using the slope-intercept form, the slope is 5 . The equation of a perpendicular line to y=5x+5 y = 5 x + 5 must have a slope that is the negative reciprocal of the original slope.
Solve for x.
-x + 4 = 32
1. x = 36
2. x = 28
3. x = -28
4. x = -36
Answers
Answer:
x=-28
Step-by-step explanation:
-x+4=32
-x=32-4
-x=28
x= -28
Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?
Answers
Have a nice day
How much do you need to subtract from 35/6 to make 5?
Answers
Answer:
You need to subtract 5/6
Step-by-step explanation:
35/6 - 5 = 5/6
So; 35/6 - 5/6 = 5
The art club is raising money for a new equipment. They need $842.36 to purchase new supplies and have received a $300.00 donation. The remaining amount will be equally divided among 4 different fundraisers throughout the summer. How much money will each fundraiser need to raise in order to purchase the new net and equipment?
Answers
Answer: Each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
Step-by-step explanation:
Money required = $ 842.36
Donation amount = $ 300.00
Amount left to arrange = (Money required - Donation amount )
= $ (842.36- 300.00)
= $ 542.36
Number of fundraisers = 4
Money required to arrange by each fundraiser = (Amount left to arrange) ÷4
= $ (542.36÷4)
= $ 135.59
Hence, each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
To make banana bread, Colin uses 3/4of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Answers
Answer:
The answer is 3/8
Step-by-step explanation:
Set up a table to get one you divide 2 by 2 so then you have to divide 3/4 by 2 and that gets you 3/8
5z-12z-10=18+7z
Im not sure how to do this
Answers
Answer:
The answer is z = -2
Step-by-step explanation:
You combine like terms.
Then subtract 7z from both sides.
Add 10 to both sides.
Then divide both sides by -14. (28/-14)
Which then equals to -2
Please help i'll give brainliest
Answers
Answer:
[tex]option \: 1. \: is \: correct.[/tex]
Step-by-step explanation:
[tex]9 {}^{ \frac{1}{3} } = \sqrt[3]{9 {}^{1} } \\ but \: for \: 9 {}^{ \frac{1}{3} } \: to \: equal \: 9 \: \\ then \: it \: should \: be : {(9 {}^{ \frac{1}{3} } )}^{3} \\ therefore \: the \: option \: 1. \: is \: correct.[/tex]
I NEED HLP WITH THIS ASAP (TRY IT)
Answers
A grocery store sells a bag of 6 oranges for $4.20. If Ayden spent $2.80 on oranges, how many did he buy?
Answers
Answer:
4 oranges.
Step-by-step explanation:
First, you find the unit rate of cost per orange, which is $0.70, then divide that by $2.80.
There were 3 boys for every 4 girls how many student i all went the trip
Answers
Answer:
7
Step-by-step explanation:
Answer:
it depend on how many students there were in total so you can know how many boys and girls
Step-by-step explanation:
Waich of the following is a true statement about perpendicular lines?
A. Perpendicular lines intersect to form a 45° angle.
B. Perpendicular lines can also be parallel lines.
C. Perpendicular lines cannot be parallel to each other.
D. Perpendicular lines intersect in at least two points.
Answers
Answer:
C
Step-by-step explanation:
perpendicular lines intersect at a 90 degree angle, meaning it is not answer choice A.
B is incorrect because perpendicular lines intersect, so they can not be parallel.
C is correct because parallel lines never intersect, so perpendicular lines can never be parallel to each other.
D is incorrect because perpendicular lines only intersect at one point and create four consistent right angles.
Solve the equation for x.
x2 = 9
Answers
= 2x = 9
= x = 9 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )
= x = 4.5
Therefore , x = 4.5 .
-2 -2
———
x=7
To answer this problem make sure you subtract 2 from each side and 7 is your answer.
how many loonies are in 1 quarter
Answers
25 loonies i think but im not so sure
A factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
O 60 doughnuts a minute
O 58 doughnuts a minute
O 56 doughnuts a minute
50 doughnuts a minute
Answers
Answer:
60 doughnut per mintute
Step-by-step explanation:
What is 7% tax of 20$ purchase
Answers
Answer:
$1.4
Step-by-step explanation:
[tex]7 \% \: of \: 20[/tex]
% means (/100)
[tex] \frac{7}{100} \times 20 \\ \\ = \frac{140}{100} = \frac{14}{10} \\ = 1.4[/tex]
Have a nice day :)
does anybody know this????
Answers
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
Find the Product
(2 X 6) X 10 to the power of 3
Answers
Answer:
1728000
Step-by-step explanation:
You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000
Answer:
Step-by-step explanation
(2×6)×10^3
(12)10^3
(12)1000
=12,000
identify the compound that plants make to store it as energy.
A. light
B. water
C. oxygen
D. glucose
E. carbon dioxide
Answers
Answer:
D) glucose
Step-by-step explanation:
step 4 of photosynthesis is storing energy in the glucose molecule after you separate and release the oxygen back
What is the answer to 5x6
Answers
Answer:
30
Step-by-step explanation:
5+5+5+5+5+5=30
which equation matches the graph
A.y=4/3x+6
B.y=3/4x+6
C.4y-3x=12
D.3x-4y=12
Answers
Answer:
B. y=3/4x+6
Step-by-step explanation:
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Answer: B
Step-by-step explanation: the y-intercept is always the b in the equation y=mx+b. in this case it’s 6. Then you look at the rise and the run. its 3/4 because you go up 3 units, and to the right 4 units, to get to the next coordinate point.
Alberto bought his bicycle for$275. He sold for $350. What was the amount of his Percentage profit?
Answers
Answer:
Step-by-step explanation:
$350 -$275= $75 profit
What is the sum of angles A + B + C?
Answers
PLEASE HELP!! What is it? Disagree or agreee
Answers
Answer:
i would disagree
Answer:
I would agree
Step-by-step explanation:
-3 1/5 ÷ -2/3 = -24/5 is this true? need help, please!!
Answers
Answer:
It's false , hope that helps <3
Step-by-step explanation:
Given f (x) = 2x3, find f-1 (16).
O A. y=v2
O c. y=234
O B. y = 2
O D. 9= 22
PLEASE HELP ITS DUE IN 10 minutes
Answers
Answer:
D
Step-by-step explanation:
yo so basically started blasting
How much is the number 727731000 in percent form
I need yall to answer this question quickly you will recieve a ton of points if you do.
Answers
Answer:
72773100000%
Step-by-step explanation:
"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.
Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
7277310001×100100=72773100000100
72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%
Therefore, we have shown that
727731000 = 72773100000%
Simplified Conversion:
Multiply by 100 and add the percent sign %
727731000 × 100 becomes 72773100000%
Shortcut Conversion:
Move the decimal point 2 places to the right and add the percent sign %
727731000 becomes 72773100000%
. If the difference between a number and its reciprocal is 24/5, find the number.
Answers
Answer:
The answer is 5/25 you just switch it
Answer:
number is 5
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus
n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]
Multiply through by 5n to clear the fractions
5n² - 5 = 24n ( subtract 24n from both sides )
5n² - 24n - 5 = 0 ← in standard form
(n - 5)(5n + 1) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 5 = 0 ⇒ n = 5
5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]
However, n > 1 , thus n = 5
That is the number is 5