The graph represents a quadratic function. Write an equation of the function in standard form.
Answers
The equation for the quadratic function in standard form is 4x² - 16x - 9
Writing Quadratic equationFrom the question, we are to write an equation for the quadratic function in standard form.
From the given quadratic graph,
The roots of the function are -0.5 and 4.5.
That is,
x = -0.5 and x = 4.5
That is,
x = -1/2 and x = 9/2
Therefore,
2x = -1 and 2x = 9
The factors of the quadratic function are (2x + 1) and (2x - 9)
Thus,
We can write that
(2x + 1)(2x - 9) = 0
4x² - 18x + 2x - 9 = 0
Simplify
4x² - 16x - 9 = 0
Hence, the equation is f(x) = 4x² - 16x - 9
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Related Questions
Zachary bought some belts online for $56. He used a coupon code to get a 30% discount. The website also app lied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
Answer:the discount was $16.80
Step-by-step explanation:
Discount=30% of original price
=0.3X$56
=16.80
The discount was $16.80 in dollars and cents
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that Zachary bought some belts online for $56. He used a coupon code to get a 30% discount.
Given the website also app lied a 15% processing fee to the price after the discount.
Discount = 30% of original price
= 0.3 x $56
=16.80
Learn more about multiplications;
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Grace used 1,000 milliliters of apple juice to make one batch of fruit punch. How many liters of apple juice does Grace need to triple the recipe?
Answers
Answer: 3 L
Step-by-step explanation:
Given
Grace uses 1000 mL of apple Juice to make one batch of fruit punch
If she triples the recipe, then the Juice used is also tripled i.e.
[tex]\Rightarrow 3\times 1000=3000\ mL[/tex]
In littres, it is [tex]3000\ mL=3\ L[/tex]
Help me, pretty please
Answers
Answer:
The surface area is 8
and volume is 12.
Let me know if wrong!! :))
Step-by-step explanation:
PLEASE HELP I AWARD BRAINLIEST
DO AS MANY AS YOU WANT
NO LINKS AND NO FUNNY ANSWERS plz
Answers
Answer:
please help if u help me i will tell my friend to help u
Step-by-step explanation:
FUNNY-FUNNY
Liz goes on holiday to South Africa
Liz wants to change £850 into south african rand
she wants to get as many 200 rand notes as possible
The exchange rate is £1=18.53 rand
Work out the greatest number of 200 rand notes that liz can get for £850
Answers
Answer:
82 notes
Step-by-step explanation:
The computation is shown below:
Given that
£1= 18.53 rand
and since Linz has £850 so he would get the equivalent of
= $890 × 18.53
= 16,491.7 rands
Now he wants the 200 rand notes so we considered it as the highest note
So, the greatest no of 200 notes would be
= 16,491.7 ÷ 200
= 82.45
= 82 notes
A refrigerator was on sale at the appliance store for 20% off.Marcus received a coupon from the store for an additional 30% off any current price in the store. If he uses the coupon to buy the refrigerator , the price would be $487.20 before taxes.What was the original price?
Answers
Answer:
$870
Step-by-step explanation:
let $x be original price
x(0.8)(0.7) = 487.2
x= 487.2/0.8/0.7
x=870
The difference of c and 7 is less than or equal to 17.
Answers
| c - 7 | 《 17
- 17 《 c - 7 《 17
add sides 7
- 17 + 7 《 c - 7 + 7《 17 + 7
simplification
- 10 《 c《 24
Answer:
c - 7 ≤ 17
c ≤ 24
Step-by-step explanation:
The difference of c and 7 can be written as c - 7 or 7 - c.
Now, since c - 7 is less than or equal to 17, you need to add ≤ to imply that it's less than or equal to 17.
As always, write the 17 on the other side. Now you have an inequality.
If you just need the equation, it's c - 7 ≤ 17.
But if you want to solve for c, it would be c ≤ 24.
(bring the like terms together and isolate c.)
Add fractions with unlike denominators
Answers
use their lowest common multiple — which is 30 so:
3/10 -> 9/30 (multiply by 3)
2/6 -> 10/30 (multiply by 5)
then we can get the new equation of:
9/30 + 10/30 = 19/30
Write an equation of the line with a slope of -3 and a y-intercept of 0
Answers
Answer:
-3/9=07+90
Step-by-step explanation:
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
If you invested $2000 in an account that paid 8% annual Interest compounded quarterly, how much would the account be worth in 10 years?
Round to the nearest hundredth/cent.
Answers
Answer: A = $4,439.28
Rounded would be $4,439.3
Step-by-step explanation:
What do I do in order to solve this problem?
Answers
can someone please help me on Carnegie??
Answers
Answer:
First tell me what's Carnegie
Simplify using i.
3+2i
———
6+5i
Answers
Pretty sure you have to use a conjugate for this problem.
2
1 point
Shauna buys a full golf club set for $1,145.87 on a 6 month installment plan. If her monthly
payments are $245.82. How much is the finance charge?
Answers
Answer: $329.05
Step-by-step explanation:
Since she pays $245.82 monthly and she is paying for 6 months, the amount paid will be:
= $245.82 × 6
= $1474.92
Since she buys the full golf club set for $1,145.87, then her finance charge will be:
= $1474.92 - $1,145.87
= $329.05
The finance charge is $329.05
Suppose that $3500 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding.
Answers
A(t) = amount after time
a = initial value, $3500
r = rate (as a decimal), 0.16
t = amount of time, 1
Hopefully a bot doesn't answer this... Also, you do not have to write explanation.
Answers
Answer:
i do not know but i will let you know when i do
Step-by-step explanation:
Given ^ABC~^EFD, find the value for x.
Answers
Answer:
4
Step-by-step explanation:
2x-3 = 5
2x = 8
x = 4
Hope this helps
I hope this helps you
in similar triangle sides are can be rate
ABC~EFD
AB/EF=BC/FD=AC/ED
5/2x-3=6/FD=4/9
9.5/4=2x-3
11.25+3=2x
2x=14.25
x=7.125
Anyone know the answer to 20?
Never gets it right will be the Brainleiest
Answers
Answer:
J
Step-by-step explanation:
If you use a calculator, 3/4 x 60 = 45
It’s the number closet to 100-55
Jordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?
PLEASEEE HELP ME I NEED THIS FOR MY EXAMMM
Answers
T shows the total and it would be 3 divided by 6 because you need to find the total cost.
Tell whether x and y
are proportional. If so, find the constant of proportionality.
8 = xy
Answers
Answer:
Step-by-step explanation:
y is inversely proportional to x; if x increases, y decreases.
Without more info it is not possible to find the constant of proportionality. Recheck the original numerical values. Think: 8 = kxy. You need to know x and y to find the value of k.
What is the value of x?
Answers
Answer:
-115?
Step-by-step explanation:
i have no idea but try anyways
Please help me FAST
Answers
Answer:
I believe it's either equation one or three. hope that helps :)
What is the probability of rolling a number 2 or less on a dice?
Provide answer as REDUCED FRACTION!
Answers
Answer:
1/3 if it's a standard die with the highest number being 6.
Step-by-step explanation:
4.
Which equation is an identity?
A. 5y + 5 = 5y – 6
B. 8 – (6v + 7) = –6v – 1
C. 3w + 8 – w = 4w – 2(w – 4)
D. 6m – 6 = 7m + 9 – m
Answers
Answer: C. 3w + 8 – w = 4w – 2(w – 4)
(3w - w) + 8 = 4w - 2w -2(-4)
2w + 8 = 2w + 8
Step-by-step explanation:
Which cords are congruent
Answers
Answer:
A chord is a line segment with endpoints on the circle. le Conjecture tells us that the central angles determined by the congruent chords are equal in measure
Step-by-step explanation:
A. Yes
B.no
Answer: yes!!!!!!!
Answers
Hello! Could y’all please explain why this is Decay and not growth?
Answers
Answer:
This is an Exponential Decay
Step-by-step explanation:
A = 1200(0.85)⁶
The above expression is an Exponential Decay because 0.85 is less than 1
The formula for Exponential Decay
= y = a (1 - r)^t
We equate both equation together
Where
a = 1200
1 - r = 0.85
t = 6
Solving for r
1 - r = 0.85
r = 1 - 0.85
r = 0.15
Converting to Percentage
r = 15% decay rate
City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?
Answers
Answer: 9 inch
Step-by-step explanation:
Given
Distance between city A and city B is 540 miles
Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation
suppose the distance between city A and B on the map is x
[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]
Therefore, the distance between city A and B is 9 in.
A charity is selling brooms to raise funds. Each box has 10 brooms. Each broom is sold for $ 15 . If the charity earns $ 50 profit for each box of brooms, how much does each box of brooms cost the charity, in dollars?
Answers
Answer:
Total cost= $100
Step-by-step explanation:
Giving the following information:
Each box has 10 brooms. Each broom is sold for $ 15
The charity earns $ 50 profit for each box of brooms.
First, we need to calculate the total revenue per box:
Total revenue per box= 10*15= $150
Now, the total cost:
Total cost= total revenue - total income
Total cost= 150 - 50
Total cost= $100
the sum of to numbers is 15 and their difference is 7
what are the two numbers?
Answers
Hope this helped