y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.
y=x²+x+(1/2)² -6 - 1/4 . simplify
y=(x+1/2²)- 25/4 in the vertex form
hope this will help u
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
PLEASE HELP, MARKING BRAINLIEST!!!!
What is the value of x? *Please show your work if you can.*
Answer:
I think 100..........
−5x−4y=−8 whats the formula
Answer:
standard form
Step-by-step explanation:
standard form
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
Find the slope between the given two points.
Please help...
Answer:
8/-5
Step-by-step explanation:
the equation for slope is y 2 - y 1/ x 2 - x 1 so your equation is -7 - (-11) / -6 - (-1) which simplifies to 8/ -5 and that is the slope.
PLEASE ANSWER WILL MARK AND 5 STARS PLEASE I BEG OF U
Which one is the best Rate
Answer:
venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go
The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.
According to what I heard :3
Hope This Helped! May I have Brainliest? <3
You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 units. How many units did you sell?
a) 5
b) 15
c) 49
d) 50
Answer:
D
Step-by-step explanation:
30 from the beginning of the week plus 50 that you bought.
80-x=30
50=x
Answer is D
Answer:50
Step-by-step explanation:
30+50=80
80-30=50
So he sell 50
A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 25 feet each hour.Which equation models the change in his elevation at 5 hours? GIVING BRAINLIEST IF FAST AND CORRECT ANSWER!!!!!!!!
Answer:
D. 5•25=125
Step-by-step explanation:
25 Feet per hour would be 25•5 so D
D. 5 x 25 = 125
It's correct on A P E X
20points- Correct answer get Brainlest- Help please-Thank you- :)
Of all students, calculate the relative frequency for males who carpool.
Gender School Transportation Survey
Walk Ride Bus Carpool Total
Male 9 26 9 44
Female 8 26 24 58
Total 17 52 33 1
0.204
33
0.088
9
Answer:
0,204
Step-by-step explanation:
what percent is 30 of 20
Answer:
1.5
Step-by-step explanation:
Lmk if i need to explain!
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. 10 miles per hour 15 miles per hour 30 miles per hour 65 miles per hour
The question is incomplete. Here is the complete question.
Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family?
a) 10 miles per hour
b) 15 miles per hour
c) 30 miles per hour
d) 65 miles per hour
Answer: b) 15 miles per hour
Step-by-step explanation: Speed is given by the change in distance per change in time or:
[tex]v=\frac{\Delta x}{\Delta t}[/tex]
For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is
[tex]v_{T}=\frac{200-0}{4-0}[/tex]
[tex]v_{T}=\frac{200}{4}[/tex]
[tex]v_{T}=[/tex] 50 mph
For Malcolm's family:
At t = 0: d = 65*0 = 0
At t = 4: d = 65*4
Then, Speed is:
[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]
[tex]v_{M}=\frac{65.4}{4}[/tex]
[tex]v_{M}=[/tex] 65 mph
Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo
what is the answer to 3√54m^4pq
Answer: I did quick math and I got 9m^2pq√6
Hope this helps a bit
A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the value for the width.
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is three feet more than twice it's width;
[tex] \longrightarrow [/tex] l = (2w + 3) ft
Perimeter of rectangle = 78 ft
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft
Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?
Answer: 3924.25
Step-by-step explanation:
0.0150x1000=15
0.0300x2000=60
0.0450x2000=90
0.0500x938520=46926
Add the numbers
47091÷12=3924.25
Additional work:
955520-12000=943520-1000=942520-2000=940520-2000=938520
His monthly paycheck for state income tax is $19,906.65.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Annual Gross pay = 955520
He is married with 4 dependents.
So, every month he earn
= 955520/12
= 79,626.6
and, Also have 4 dependents
= 79,626.6 /4
= 19,906.65
Hence, his monthly paycheck for state income tax is $19,906.65.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]
The interest earned in 9 months = $25.45284.
Which is the ordered pair for the point on the x-axis
that is on the line parallel to the given line and through
the given point (-6, 10)?
O (60)
0 (0,6)
O (-5, 0)
O (0,-5)
Answer:(6,0)
Step-by-step explanation:
Its the only positive point on the x axis
The ordered pair on the x axis that is one the line parallel to the given point P ( -6 , 10 ) is Q ( 6 , 0 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( -8 , 6 )
Let the second point be Q ( 4 , -4 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -4 - 6 ) / ( 4 + 8 )
Slope m = -5/6
Now , the equation of line is y - y₁ = m ( x - x₁ )
y + 4 = ( -5/6 ) ( x - 4 )
Subtracting 4 on both sides , we get
y = -5 x/6 - 4/6
Now , the ordered pair be ( 6 , 0 )
5x + 6y + k=0, passes through ( -6 , 10 )
So , ( -30 + 60 + k = 0 )
k = -30
And , the line is 5x + 6y - 30 =0
So , the ordered pair ( 6 , 0) satisfies the condition of the equation
Hence , the ordered pair is ( 6 , 0 )
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
The complete question is attached below :
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6, 10)?
O (60)
0 (0,6)
O (-5, 0)
O (0,-5)
7. What is the area of the shaded region?
5.6 cm
6.4 cm
5.8 cm
1.2 cm
0.8 cm
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!
Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. (look at graph)
Is the number of gallons of water in the bathtub a function of time?
A)Yes because each t value is paired with exactly one number of gallons.
B)Yes because the number of gallons is bounded between y = 0 and y = 36.
C)No because each number of gallons is paired with more than one t value.
D)No because from t = 5 to t = 20 the number of gallons of water is constant.
A.Yes because each t value is paired with exactly one number of gallons.
Step-by-step explanation:
Yes the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.
Option A
Given :
The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.
The number of gallons of water in bathtub depends on the time taken to fill or drain water
For each minutes in x there is one y value
There is no break in the graph . For each x value there is only one value
From this graph we can say that , for each t value (minutes) there is exactly one number of gallons (y value )
So, yes because each t value is paired with exactly one number of gallons.
Learn more : brainly.com/question/19620324
CAN SOMEONE PLZ HELP
Answer:
(x, y, z) = (2, -1, 3)
Step-by-step explanation:
I solved it using the elimination method
Order each set of integers from least to greatest.
(15, 17, 21,6,3)
Answer:
3,6,15,17,21
I hope this is good enough:
Stephen ran a race that was 5 miles long . he ran 1/4 of a mile in 1/8 of an hour . he ran the same pace the entire race , how long , in hour did it take Stephan to run the entire race ?
Answer:
1/2 hour
Step-by-step explanation:
he ran 1.25 miles in 7.5 mins
so
1.25x=37.5
x=30 MINS
30 mins =.5 hours or 1/2 hours
Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?
The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be the number of red and blue marbles in the bag?
Answer:
4 red marbles and 6 blue marbles
Step-by-step explanation:
Multiply any numbers to 2 and 3 and you get another ratio.
And write a equation for the table.... It also detects if you are right or wrong
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Equation :
f ( x ) = 0.5 x
x is the number of apples.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5
help me plzzzz lzzzzzzzzzz
Answer:
2 to the 8th power
Step-by-step explanation:
When there are parenthesis, for exponents, you have to multiply the exponents. 2*4=8
What is the awnser to that question
Answer:
C. 2 and 5
Step-by-step explanation:
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Using reflection concepts, it is found that the correct option is:
a reflection of the point across the y-axis---------------
The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].A similar problem is given at https://brainly.com/question/15196246
Answer:
b
Step-by-step explanation:
(please i'm taking a test) A fraction is never a rational number true or false
What is the value of x in the equation Negative two-thirds x + 9 = four-thirds x minus 3?
Answer:the answer is x=6
Step-by-step explanation:
I alr did the quiz for this question on edg 2020
Answer:
x= 6
Step-by-step explanation: