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)
(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
Fill in the table of values using equation y=4x-4
Answer:
Step-by-step explanation:
2. The perimeter of a rectangular park is 640 yards. The length of the rectangle is 40 yards less than twice the width. What are the dimensions of the park?
The dimensions of the park are obtained as 180 yards and 140yards respectively.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Suppose the width of the rectangle be x yards.
Then, its length is given as x - 40 yards.
Since, the perimeter of a rectangle is given as 2(l + b).
Substitute the corresponding values to get the equation as follows,
640 = 2(x - 40 + x)
=> 640 = 2(2x - 40)
=> 2x - 40 = 640/2
=> 2x - 40 = 320
=> x = 360/2 = 180
Then, the length is given as 180 - 40 = 140 yards.
Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.
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(SUPER EASY) ILL GIVE BRAINLIEST TOO.
just answer all the questions you know.
Answer: x,y. 2,7, 1,
Step-by-step explanation:
Answer:
5.) (2,7)
6.) 0,3,4,6,8,9
7.) x= -4,-2,1
y=2,-1,1
I hope this is good enough:
13) (-4.3) (2,-1)
slope formula
Answer:
[tex]3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} [/tex]
What is the awnser to that question
Answer:
C. 2 and 5
Step-by-step explanation:
CAN SOMEONE PLZ HELP
Answer:
(x, y, z) = (2, -1, 3)
Step-by-step explanation:
I solved it using the elimination method
What is the value of x?
HELP! Please
Answer:
a. 68
Step-by-step explanation:
You just have to subtract these two numbers from 180 because adding all the angles of a triangle the resulta is 180. Subtracting those numbers from 180 will give you the result.
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 • Third card: -5 What is the sum of the values of LuAnn's three cards?
The sum of all the cards of Luann is -14.
One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).
The terms, addends, or summands collectively refer to the numbers or objects that need to be added in general addition; this nomenclature also applies to the summation of several terms. This should be distinguished from multiplied factors.Addition or sum follows the commutative , associative and distributive properties.The given numbers on the cards are given as - 12 , 3 and - 5 .
Therefore the addition or sum is equal to :
-12 + 3 + ( - 5 ) = - 17 + 3 = - 14
Hence the sum of all the cards in LuAnn's card games is -14.
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It costs $0.50 to download an individual song and $4 to download an album jada has $15 to spend downloading music how many albums can jada download is she downloads 6 individual songs
Answer:
3 albums
Step-by-step explanation:
6 x .5 = $3
15-3=12
12÷4=3
Answer:
^^3
Step-by-step explanation: If she has $15 and she has already downloaded 6 individual songs, and they cost .50, that leaves her with $12 to spend, which is 3 albums. Hope this helps!
PLEASE HELP, MARKING BRAINLIEST!!!!
What is the value of x? *Please show your work if you can.*
Answer:
I think 100..........
And write a equation for the table.... It also detects if you are right or wrong
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Equation :
f ( x ) = 0.5 x
x is the number of apples.
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The correct answer is (( A )) .
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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:
WILL REWARD Christina has already spent 2 minutes on the phone, and she expects to spend 2 more
minutes with every phone call she routes. Write an equation that shows the relationship
between the phone calls routed p and the minutes on the phone t.
Write your answer as an equation with t first, followed by an equals sign.
Answer:
t=2x+ 2
Step-by-step explanation:
x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended
Answer:
Step-by-step explanation:
t=2+2p
The price of candy bars can be determined by the equation p= 1.25n, where p is the price and n is the number of candy bars. What is the constant of proportionality (unit rate)
Answer:
1.25 is the constant of proportionality
Step-by-step explanation:
Given:
p = 1.25n
Where,
P = price of candy bars
n = number of candy bars.
What is the constant of proportionality (unit rate)?
The constant of proportionality is 1.25
For example, if number of candy bars is 10, find the price
n = 10
p = 1.25n
= 1.25 * 10
= 12.5
P = 12.5
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
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
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
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.
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Whats the answer to this?
Answer:
the third one i think
Step-by-step explanation:
srry if im wrong! hope it helps!
-le reel hoomans person
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:
What is the result when the number 40 is decreased by 10%?
Answer:
it would be 36
Step-by-step explanation:
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
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:
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.
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
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
como se simplifican las expresiones algebraicas
Answer:
Para simplificar cualquier expresión algebraica, las siguientes son las reglas y pasos básicos: Elimine cualquier símbolo de agrupación, como corchetes y paréntesis, multiplicando factores. Usa la regla del exponente para eliminar la agrupación si los términos contienen exponentes. Combina los términos semejantes mediante suma o resta.
−5x−4y=−8 whats the formula
Answer:
standard form
Step-by-step explanation:
standard form