Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
4j + 4 =
Next, subtract 4 from both sides.
4j
Answer:
4j=-4
j=-1
Step-by-step explanation:
Answer:
4j=-4 j=-1
Step-by-step explanation:
A jar contains 12 pink, 8 yellow, 6 blue and 10 green jelly beans. If a Jelly Bean is
chosen at random, find each probability as a DECIMAL rounded to the nearest
HUNDREDTHS place.
Answer:
Pink: 0.33
Yellow: 0.22
Blue: 1.67
Green: 0.28
Step-by-step explanation:
Total of Jelly Beans: 36
Pink: [tex]\frac{12}{36}[/tex] = 0.33
Yellow: [tex]\frac{8}{36}[/tex] = 0.22
Blue: [tex]\frac{6}{36}[/tex] = 1.67
Green: [tex]\frac{10}{36}[/tex] = 0.28
students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this problem any way you choose
Answer:
36
Step-by-step explanation:
becuase each row has 6 in them and there are 6 rows so 36 is the final answer
3. Find the annual salary for Kathy if she is paid $2.100 every other week.
Annual Salary = Biweekly Salary * 26
Stephanie put $300 into an account with 3% annual simple interest.
How long will it take for Stephanie to earn $90 in interest?
Answer:
Step-by-step explanation:
10 years
Does the table represent y as a function of x?
Answer:
yes
Step-by-step explanation:
Leo found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was 3 1/3 inches long and the orange caterpillar was 1 2/3 inches long. How much longer was the green caterpillar than the orange caterpillar?
Answer:
the green caterpillar is 5/3 inches or 1 2/3 inches longer than the orange caterpillar
Step-by-step explanation:
Subtract 3 1/3 by 1 2/3
Answer:
1 2/3 in longer
Step-by-step explanation:
Green: 3 1/3 = 10/3 (Multiply the whole number by the denominator and add that to the numerator for the new numerator).
Orange: 1 2/3 = 5/3
Difference: 10/3 - 5/3 = 5/3 (When subtracting fractions with the same denominators, just subtract the numerators and leave the denominators the same).
5/3 = 1 2/3 (To convert to a mixed number, divide numerator by denominator. The remainder is the new numerator and the quotient is the whole number).
If 7x-3x+17-x+1=108, what is the value of 4x+x?
Answer:
150
Step-by-step explanation:
1. combine like terms
7x-3x-1x=3x
17+1=18
2. subtract
108-18=90
3. divide
90/3=30
which means x=30
4. plug it in
4X30+30=150
Find the area of the trapezoid below.
4 cm
3 cm
8 cm
Answer:
4 + 8 / 2 * 3 = 18
4 + 8 = 12
12 / 2 = 6
6 * 3 = 18
Step-by-step explanation:
*Hope this helps*
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
this is due in a few hours can yall help me
Answer:
18%, 34%, 9/25, 0.25
Step-by-step explanation:
36% = 18%
17/50 = 34%
0.18 = 9/25
1/4 = 0.25
In the sixth grade, 54% of the students are boys. There are 189 boys in the sixth grade. What is the total number of students in sixth grade? A. 54 B. 161 C. 189 D. 350. (explain what did u do to get you're answer )
Answer:
D
Step-by-step explanation:
189 boys is 54%
x is 46%(100-54)
Cross multiply:
189*46%=54%*x
86.94=0.54x
x=161
189 boys 161 girls
350 altogether
So D
Hope this helps plz hit the crown :D
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?
Answer:
it will be 7 and 1/2
Step-by-step explanation:
2 and 1/2 x 3=7 and 1/2
5. Which is the best first step to solve 5x+12x = 40 by completing the square?
A. Subtract 40 from both sides.
B. Divide all terms by 12.
C. Divide all terms by 5
D. Divide 12 by 2
Answer:
B
Step-by-step explanation:
To make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Which is the best first step to solve 5x²+12x = 40 by completing the square?
A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2We have a quadratic equation:
5x²+12x = 40
To make the perfect square:
First, subtract 40 from both sides.
5x²+12x - 40 = 40 - 40
5x²+12x - 40 = 0
Thus, to make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ2
F(x)=43
f(x)=-6×+7
Not sure how to get the answer wondering if someone can break it down for me please
Step-by-step explanation:
Since f(x) is 43 you would replace it for the f(x) in the bottom equation like this 43=-6×+7 then you would multiply the left side so now it would be 43=-42 and this a no solution.
Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.
Which inequality describes all the solutions to 5(3 – x) < -2x + 6?
Answer:
3 < x
Step-by-step explanation:
1. Use distributive property for 5(3-x)
2. add x to each side
3. subtract 6 from 15
4. divide 3 from 9
3 < x
Explain why there is no solution to the system of inequalities given below.
Answer:
You end up getting the same equation!
Step-by-step explanation:
Describe the transformation that takes f (x) = x + 1 To g (x) = -x + 4. [ Please No Plagiarism and Will mark brainliest . .
Answer:
fliped over y axis and moved up 3
Step-by-step explanation:
fliped over y axis (changed x to -x) and moved up 3 (changed +1 to +4)
Answer:
why did you delete my answer HUH?
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
What does x = if x multiplied by 7/3 = 1
Answer:
Step-by-step explanation:
X×7/3 =1
X=3/7
A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?
Answer:
good
Step-by-step explanation:
calculate it on alculator
Ive been trying to figure out this problem, I’m not sure if each fruit is measures per pound. Please help!
Answer:
e
Step-by-step explanation:
i will give free points to people who answer my problem
Answer:
Elena spent [tex]p-3.45[/tex] more than Taniy
Step-by-step explanation:
LET THE PRICE OF CHERRY PER POUND BE "p" !!!!!
Elena bought a watermelon for = $7.75
Elena bought 3 pounds of cherry for = $3p
Total money spent by Elena = 3p + 7.75
Taniy bought a pineapple for = $4.35
Taniy bought 2 pounds of cherry for = $2p
Total money spent by Taniy = 2p + 4.35
More money spent by Elena than Taniy =
[tex](3p+7.75)-(2p+4.35)\\=>3p+7.75-2p-4.35\\=>3p-2p+7.75-4.35\\=>p-3.45[/tex]
If m is a multiple of 20 then m is also a multiple of 10 true or false
Solve for w. You must write your answer in fully simplified form.
19 = -8w
Answer:
The answer is 11
At a bakery every 4th coustmer recives a free cookie snd every 10th customer recives a free drink. Which customer will be the first to recive a free cookie and a free drink
Answer:
40th costumer
Step-by-step explanation:
The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.
Customer first to receive a free cookie and a free drink is 20th number customer
Given that;Number of customer received free cookie = 4th
Number of customer received free drink = 10th
Find:Customer first to receive a free cookie and a free drink
Computation:Customer first to receive a free cookie and a free drink = LCM of 4 and 10
Customer first to receive a free cookie and a free drink = 20th number customer
Learn more:https://brainly.com/question/1879445?referrer=searchResults
PLZZ SOMEONE GIVE ME THE EQUATION!! You have $20 to buy snacks for yourself and 4 friends. If you buy a bag of chips for each person, and still have $13.75 left, how much did you spend on each bag of chips?
Answer:
1.56
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
20-13.75 = 6.25
6.25 / 5 = 1.25
Help I need the answer as soon as possible
Answer:
D.
Step-by-step explanation:
First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32
HELP ASAP what's the reason for statement 3, WILL GIVE BRAINLIEST
Answer:
From prove
Step-by-step explanation:
from prove
Explanation
Two angles are called complementary when their measures add to 90 degrees