To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
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HELPP PLEASEE! pleaseeeeee
Answer:
a = 14 km
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
112.7 = 1/2 ( a) 16.1
112.7 = 8.05a
Divide each side by 8.05
112.7/8.05 = a
14 =a
a = 14 km
Solve 7,030 ÷ 3 using the division algorithm ?????????????????
Answer: 2,343.3333 repeating, or just 2,343 1/3
Step-by-step explanation:
If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.
cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie?
Answer:
y=-4x+16
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
please explain why. Thanks
Is (x-2) is a factor of x³-3x²-x +7 –
Yes No ☑Explanation :-We are given –
Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x![tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]
Now Put x = 2 into the polynomial –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]
Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.________________________________________
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
Jamal bought a concert ticket online for $57. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.
Answer:
$41.04
Step-by-step explanation:
57-40%(22.8)=34.2
34.2+20%(6.84)=41.04
there are 1200 students in a school. if 2/5 are girl what is the number and percentage of boys? find it
Step-by-step explanation:
Hope it will help you...
720 inches per second to miles per minute
Answer:
0.681818 miles per min
Step-by-step explanation:
NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
----------------------------------
Easy! :D (if you don't mind, may I get brainliest please?)
Pls answer these two questions
Answer:
1. C
2. C
Hope This Helps!!!
Solve using the Quadratic Formula:
a) -7x^2 + 7x + 1 = -8
b) -6x - 1 + 5x^2 = 8x^2
Show your work.
A. - 7x² + 7x + 1 + 8 = 0
- 7x² + 7x + 9 = 0
x = - b ± √b² - 4ac / 2a
= - 7 ± √7² - 4 (-7) (9) / 2 (-7)
= - 7 ± √49 + 252 / - 14
= - 7 ± √ 301 / - 14
x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14
= 10.349 / - 14 = - 24.349 / - 14
= - 0.739 = - 1.739
B. 8x² - 5x² + 6x + 1 = 0
3x² + 6x + 1 = 0
x = - b ± √b² - 4ac / 2a
= - (-5) ± √-5² - 4 (3) (1) / 2 (3)
= 5 ± √25 - 12 / 6
= 5 ± √ 13 / 6
x = 5 + 3.606 /6 x = - 5 - 3.606 / 6
= 8.606/6 = - 8.606/6
= 1.434. = - 1.434
please re-check the answers hope this helps
what does 2y-x=-14 equal?
Answer:
x=2(y+7)
Step-by-step explanation:
2y−x=−14
Subtract 2y from both sides.
−x=−14−2y
The equation is in standard form.
−x=−2y−14
Divide both sides by −1.
x=2y+14
Then use the inverse property of distrubtion.
x=2(y+7)
or if you want to you can leave it as x=2y+14
Answer:
y=x/2-7
Step-by-step explanation:
Move x to the side with the constant and then divide.
1. -x from both sides
2. the divide by 2
it can also be written like
y=1/2x-7
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
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help please???????????
what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
A ____ has a positive charge.
Answer:
Proton
Step-by-step explanation:
The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.
Hope this helps you luv!
please help me please
Answer:
x+2y = 5
2x+y=4
->
x+3y = 5
6x-y = 11
->
2x+y=10
x-3y=-2
Step-by-step explanation:
solutions of x and y for each system of equation can be solved by graphing
graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers
if there are no intercepts, the equations have no solution
what is the reciprocal of 4/15
Answer:
15/4
Explanation:
To find the reciprocal of a fraction, switch the denominator and the numerator, which will give you the reciprocal of a fraction.
Hoped this helped.
[tex]GeniusUser[/tex]
John had $55. He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the amount of money he had after splitting the money with his cousins.
55 – 3 • 9 + 12 ÷ 3
Based on this expression, what is the amount of money John had remaining?
A.$160
B.$32
C.$24
D.$20
Is there a proportional relationship between category 1 and Category 2 in the table below
Answer: Please upload the image or PDF.
what is greater -5 1/2 or -6.5
Answer:
-5 1/2
Step-by-step explanation:
-5 1/2=-5.5 which is closer to 0
Hey there!
GUIDE:
> is greater than
• is the GREATER THAN the other number
< is less than
• your number is LESS THAN the other number
≥ is greater than or equal to
• it means that either a number is greater or equal to the other number
≤ Is less than or equal to
• it means that either a number is less or equal to the other number
= is equal
• it means that it is equal to the other number
SOLVING FOR YOUR ANSWER!
-5 1/2 __?__ -6.5
-5 1/2
= -5 * 2 + 1 / 2
= -10 + 1 / 2
= -11 / 2
= -5.5
= -5.5 > -6.5
Therefore, your answer should be:
-5 1/2 > -6.5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?
Answer:
John is incorrect. He did not multiply.
Step-by-step explanation:
If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.
1 pair is $2.
2 pair are $4.
3 pair are $6.
4 pair are $8.
5 pair are $10.
6 pair are $12.
7 pair are $14.
13 pair are $26.
There is no way to spend $27 on these socks.
25 pair are $50.
Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.
6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.
x/5 - 74 = 26
what is x
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
URGENT!!! THANK YOU!!!!!
Answer:
101,100
280
Here's your answer
You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza
that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have
$740 to spend, how many of each type of pizza can you buy?
Answer:
70 pepperoni 30 sausage
Step-by-step explanation:
30 times 6 is 180
70 times 8 is 560
180 plus 560 is 740
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
PLSS HELP whats 4.922 rounded to the nearest hundredth PLS
Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.
The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
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