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)
What are the steps on how to copy an angle? (Geometry)
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
Solve the system of equations below.
2x - y = 26
3x - 2y = 42
Here are the answer choices
A. (8,1)
B. (3,2)
C. (10,-6)
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which point is a solution to the linear inequality y < Negative one-halfx + 2?
(2, 3)
(2, 1)
(3, –2)
(–1, 3)
.
Answer:
C 3,-2
Step-by-step explanation:
Edg2020
Answer: C (3, -2)
Step-by-step explanation:
which is Not equal to thr absolute value of -5?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Write an equation in slope-intercept form of a line that passes through the point (8,-0) and is perpendicular to the line x - 3y = 15.
y = 3x −24y = 3x −24
y = 3x + 24
y = -3x + 24
y = -3x - 24
Step-by-step explanation:
let eqn be y = mx + b.
3y = x - 15
y = 1/3x - 5
perpendicular means product of grad = -1
hence m = -3.
sun (8, 0):
8 = -3(0) + b
b = 8
therefore, equation if the line is y = -3x + 8
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
How can we create equations in two variables to represent relationships between quantities
Answer:
Create equations in two or more variables to represent relationships between quantities (linear functions) Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Step-by-step explanation:
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid?
25 dollars times 0.02
25 dollars times 0.20
25 dollars times 1.20
25 dollars times 2.00
Answer:
B.) 25 dollars times 0.20
Step-by-step explanation:
0.20 = 20%.
Answer: Cost= 25 +0.2*25
Step-by-step explanation:
Mika can eat 21 hotdogs in 6 minutes. She wants to know how many minutes it will take her to eat 35 hotdogs.
How many minutes would Mika need to eat 35 hotdogs?
Answer:
122.5 minutes
Step-by-step explanation:
21 hotdigs in 6 min
1 hotdog 3.5 minutes
therefore 35 hotdogs = 122.5 minutes
The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x
Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
To learn more about quadratic equations click :
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how many meters are equal to 3,736 cm
A. 373.6 meters
B. 3.736 meters
C. 37.36 meters
D. 37,360 meters
Answer:
C
Step-by-step explanation:
3,735 cm = 37.36 meters
The two triangles are similar, What is the length of DE?
This is easy. All you need to do is set up a proportional relationship.
A proportional relationship uses variables to show similarities, in this case, in triangles.
[tex]\frac{2}{3} = \frac{x}{6.3}\\\\3x = 12.6\\\\x = 4.2[/tex]
x represents the missing side.
please help thank you
Answer:
B
Step-by-step explanation:
A=4 so its wrong cause the original one is 10-12=-2
Max competed in a 50-meter freestyle swimming event. His finishing time was 31.26 seconds. What is the value 6 in Max's time (please I really need help)
Answer:
2.9 seconds
Step-by-step explanation:
Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v
Answer:
50+10v should be the right answer.
Juan made $253 for 11 hours of work. At the same rate, how many hours would he have to work to make $391?
Answer:
17 hours
Step-by-step explanation:
givens:
-he made $253 for 11 hours of work
-how many hours of work for $391
set a proportion
253 391
----- = ----
11 h h=hours
cross multiply
253h=391 times 11
253h=4301
divide 253 in both sides
4301/253
17 hours!
I cant seem to understand this. Please, someone help :)
Answer:
76
Step-by-step explanation:
Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75
How many people can ride in 1 car?
What is the constant of proportionality for the data in the table?
Explain how you can find the number of people that can ride in a rollercoaster with 10 cars.
Write an equation to represent the number of people, y, that can ride the rollercoaster with x cars.
Answer:
6 people
Step-by-step explanation:
take the 18 and divide it by three because this will help you solve for one car so 18 divided by three is six
Find the missing number in the following equation.
k x 78 = 117
k = 1.5
k = 195
k = 39
Answer:
k=1.5
Step-by-step explanation:
[tex]k = 117 \div 78 = 1.5 [/tex]
please answer correctly
-6 - 2 (4x - 7) = -32
Answer:
x=5
Step-by-step explanation:
-6 - 2(4x - 7) = -32
Distribute -2
-6 - 8x +14 = 32
Combine Like Terms
-8x + 8 = -32
Subtract 8 from both sides
-8x = -40
Divide each side by -8
- x - = +
So the final answer would be:
x = 5
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:
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7. The measure of two angles of a quadrilateral are
120 & 40° and the other two angles are equal, the measure of each of equal angles are
100
200°
50°
105
Answer:
200
Step-by-step explanation:
total angle degree of quadrilateral is 360° so 360 - (120+60) = 200
I hope you understand it and sorry if it's wrong
If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph A
Step-by-step explanation:
Answer:
A.)
Step-by-step explanation:
since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.
Can someone help show work pls?
Answer:
569
Step-by-step explanation:
hope it will help you
(14-7×7)16
(14-49)16
(-35)16
-560
is 15(x+10) largger than 360
Answer:
No it's not
Step-by-step explanation:
15x+15 times 10
15x+150
The metal that is used to hold stained glass pieces together is called __________. a. cement c. paste b. framing d. leading
Answer:
Paste is the answer if I remember
can anyone help me i need my grade up bye tommorow in math pls help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
yeah I will help I got you my guy or girl
Answer:
Yea sure i'll help but um what u need help with
Step-by-step explanation:
Plssss help what is the value of c
Answer:
5
Step-by-step explanation: The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Which of the following does not represent a function?
PLEASE HELPP ME
15 POINTS OR BRAINLIEST ?!??
Answer:
G is not a function
Step-by-step explanation:
Answer:
H.
Step-by-step explanation:
something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.
that's why parabolas aren't functions (if you know what those are).
hopefully that helps and isn't too confusing! if you need anything else, let me know! :)
