The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options. The axis of symmetry is the line x = –5. The vertex of the graph is (5, –37). The parabola has a minimum. The parabola opens up. The value of a, when the equation is written in vertex form, is negative.
Answers
Answer:
The vertex of the graph is (5, -37) [see attached image]The parabola has a minimum [the coefficient of x² is positive]The parabola opens up [the coefficient of x² is positive]
All the correct statements are,
The vertex of the graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function g(x) = 10x² - 100x + 213 written in vertex form is,
⇒ g(x) = 10(x – 5)² – 37.
Since, General equation is,
y = a (x - h)² + k
Where, (h, k) is vertex of parabola.
Hence, We get;
The vertex of the graph is (5, -37)
Since, the coefficient of x² is positive
Hence, The parabola has a minimum
And, The parabola opens up.
Thus, All the correct statements are,
The vertex of the graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
Learn more about the mathematical expression visit:
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Related Questions
What are the coordinates of the x-intercept of the line 3x - 2y = 12?
Answers
Answer:
(4,0)
Step-by-step explanation:
Write the fraction in lowest terms.
14/37
Answers
Answer:
14/37
Step-by-step explanation:
14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 37 is 1
Divide both the numerator and denominator by the GCD
14 ÷ 1
37 ÷ 1
Reduced fraction:
14/37
Therefore, 14/37 simplified to lowest terms is 14/37.
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
Answers
you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50
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Answer:
352
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Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
Multiply (3x +9)(2x - 5)
Answers
[tex] {6x}^{2} + -15x + 18x -45[/tex]
hope that helped:)
Step-by-step explanation:
=(3x+9)(2x-5)
=3x(2x-5)+9(2x-5)
=6x²-15x+18x-45
=6x²+3x-45
hope it helps.
Round The Following Number: 194,332.125
Answers
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
1) A number which has more than two
factors is called a
number.
O a) Prime Number
O b) Smallest Number
O c) Composite Number
O d) Biggest Number
Answers
Answer:
C) Composite Number
Step-by-step explanation:
The composite number is one which has more than two factors.
eg:- 4,6,9,12,15 etc......
hope so it helped you
A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?
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Answer:
the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.
When 5 randomly selected people all have the same birth month of March.
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Answer:
I know 4 people that are all really close friends and all have birthdays in march.
Step-by-step explanation:
Solve the inequality:
15 ≤ 3 − 2x
Answers
Divide both sides by 2
2.2 Subtract 6 from both sides
x ≤ -6
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Answer: x ≤ -6
What is the opposite of 56?What is the value of –(-4)?
Answers
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
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Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
$74.96
Step-by-step explanation:
$79.80 × 0.12 = 9.576 (discount)
$79.80 - $9.576 = $70.224
$70.224 × 0.0675 = 4.74012 (add for sales tax)
$70.224 + $4.74012 = $74.96412
Find the lateral area of a rectangluar prism with ?
Answers
Answer:
40 Squared units
Step-by-step explanation:
[tex]A=2*2*4+2*2*6=40[/tex]
1. Show that
(10a + 5)^2 = 100a(a + 1) + 25,
for every a real number. How is this formula explaining the rule we have, to square a number
which ends in 5, such as
25^2 = 625, 35^3 = 1225, 105^2 = 11025^2, etc. ?
Answers
Answer:
(10a+5)²= 100 a( a+1) + 25
Step-by-step explanation:
Explanation:-
Given
(10a+5)²
By using (a+b)² = a² +2ab +b²
= (10a)²+ 2 × 10a× 5 + (5)²
= 100a² + 100a + 25
= 100 a( a+1) + 25
Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6
Answers
y=-4
(x is 2 y is -4)
b. -2 + 3x = -(x + 6)
Solve for x
Answers
Work:
-(x + 6)
-x - 6
-2 + 3x = -x - 6
Put x to one side of the equation. This one will be on the left side. Add x to do so.
-2 + 4x = -6
Isolate x by adding 2.
4x = -4
Divide by 4 to isolate x for the final time.
x = -1
Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8
Answers
3,5,8. I think.
have a great day :)
Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer
Answers
Answer:
$2,313,150,687,166.22 is the interest accrued.
Step-by-step explanation:
Hope this helps
Answer:
$2,313,150,687,166.22 is the interest
Step-by-step explanation:
hope this helps.
If five times the square of a certain positive number is
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Answer:
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Answers
Answer:
The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.
Correct me if you want If its wrong
When converting 6/81 into a decimal which is true.
Answers
Answer:
6/8 as a decimal is 0.75.
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answers
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
what times 4/5 equals 3/4
Answers
Answer:
15/16
Step-by-step explanation:
4/5 x=3/4
x=(3/4)/(4/5)
x=15/16
1. Each letter in VALENTINE is written on a separate piece of paper and put into a bag.
You randomly choose a piece of paper from the bag. Find the probability of choosing an
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Answers
Answer:
2/9
Step-by-step explanation:
two e with a total of 9 letters
THIS IS A MULTIPLE CHOICE QUESTION!
Corey, Billy, and Shea own a house repair and update business. The number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
They earned a total of $1,100 for the job and put 25% of the money earned in an account for future expenses. If they divide the money proportionally based on the number of hours each worked, how much money did Shea receive?
A.$385
B.$412.50
C.$413.33
D.$641.77
Please show ALL of your work.
Answers
Answer:
The correct answer is A. $385.
Step-by-step explanation:
Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
And since they earned a total of $ 1,100 for the job and put 25% of the money earned in an account for future expenses, to determine how much money Shea received if they divided the money proportionally based on the number of hours each worked is owed perform the following calculation:
1100 x 0.75 = 825
10.5 + 7.75 + 4.25 = 22.5
22.5 = 100
10.5 = X
10.5 x 100 / 22.5 = X
1050 / 22.5 = X
46.666 = X
825 x 0.4666 = X
384.99 = X
Therefore, Shea received $385.
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Answers
Answer: 251=m-119
Step-by-step explanation:
251=m-119 There is nothing to explain.
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