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)
a bowl contains 15 gra
Answer: hi
Step-by-step explanation:
Answer:
And, so...
What about the 15 grams?
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
WILL GIVE BRAINLIEST EASY
drag and drop correct answers
Answer:
X- int: -3,0 and 1,0
Y- int: -3, 0
Domain: -inf to +inf
Range:+in to -4
Minimum Value : -4, 1
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
How do you find the total cost of a $12.95 DVD after the tax is added. The tax rate is 6.25%.
Answer:
the correct answer would be 13.75
3,998-(-7)
Please i need help
Answer:
4005
Step-by-step explanation:
PLEASE HELP ASAP
Factor 3x+6y-9z
A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question;
A kid traveled a distance of 9 km by bike, and then walked a distance of x km.
a.Find the total distance traveled in terms of x
b. If the total distance was less than 30 km, form an inequality in x, and
then solve it!
a) Total distance = distance travelled by bike + distance walked
Total distance = 9km + xkm
Total distance = (9+x)km
b) If the total distance was less than 30 km, the inequality representing this is;
9+x < 30
Subtract 9 from both sides;
9+x-9 < 30-9
x < 21
hence the solution to the inequality is x< 21
Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *
Answer: The answer should be 1.5.
Step-by-step explanation:
$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5
Answer:
$.5
Step-by-step explanation:
hope this helps y'all
A fisherman can row upstream at 5 mph and downstream at 10 mph. He started rowing upstream until he got tired and then rowed downstream to How far did the fisherman row if the entire trip took 3 hours? starting point
Answer:
We have been given that the upstream speed is and the down stream speed is .
Let the fisherman traveled a distance of x miles.
The total time of the trip is 6 hours.
Relations between speed (s), time (t) and distance (d) is
Hence,
Time upstream + time downstream = 6
lcm = 10
=>
Cross multiplying,
x = 20 miles .. Answer.
Step-by-step explanation:
The correct answer would be; 20 miles.
[tex]MissJiao[/tex]
Broo please help me omg
Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?
Answer:
The answer is 1/10
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5
Answer:
y = 2(x-5) + 7
Step-by-step explanation:
A pair of jeans regularly priced for $50 have been marked down by 10%. What is the new sale price?
HELP ASAP!!! PLEASE
Answer:
5
Step-by-step explanation:
Answer:
$46
Step-by-step explanation:
out of 300marks a student got 207 what is the score in percent
Answer: 69%
Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100
Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?
A) part
B) whole
C) percent
Answer:
A
Step-by-step explanation:
Based on the graph, which inequality is correct for a number that is to the right of -3?
A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.
4 > −3
−3 > 4
−2 < −3
−3 < −6
Answer:
4>-3
Step-by-step explanation:
-3 is a negative number. Negative numbers are less than positive numbers. In this inequality the positive number is being shown as greater than, meaning it is the correct choice.
Step-by-step explanation:
4>-3
(03.06 MC) The first four terms of a sequence are shown below: 8, 5, 2, −1 Which of the following functions best defines this sequence? f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
Answer:
the last one. f(n) - 3; for n ≥ 1
Answer:
D) f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
Determine the intercepts of the line.
y = 80 - 18
Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
ponca city reports a temperature of 3° below zero marshall city reports a temperature of 5° below zero which city has the lower temperature ?
Answer:ok well it’s 5 because if it’s below zero it’s lower so it’s 5
Step-by-step explanation:
You sure you are in high school?
h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
Factor by grouping
x^3+2x^2-9x-18
Answer:
(x+2)(x+3)(x-3)
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
Hope this helps!!
What is 5.790 divided by 2.3
Answer:
Step-by-step explanation:
5.790/2.3=2.5173913
Answer:
2.51739130435
Step-by-step explanation:
PLEASE I NEED YOUR HELP! THANK YOUU!
Answer
Maximum point of (-2, 4)
Step-by-step explanation:
the maximum point in this case is the vertex because its the highest point of the graph
On a scavenger hunt, you find 16 out of 25 objects. Write "16 out of 25" as a fraction, a decimal, and a percent.
Fraction:
Decimal:
Percent:
I need help ASAP
Answer:
Fraction: 16/25 Decimal: 6.25 Percent: 6%
Step-by-step explanation:
I am 99.99% sure this is right.. I hope it helps you.
The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The Given statement is "16 out of 25".
The statement in mathematical form is:
16/25 (Fraction)
= 0.64 (Decimal)
= 64% (percent)
Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
Learn more on fractions here:
brainly.com/question/10354322
#SPJ2
Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x=57 degree
Step-by-step explanation:
Answer:
x=57
Step-by-step explanation:
(x-5) + (2x+4) = 180
get all xs on the same side non xs on other side till you get
3x=171
then divide 171 by 3
x = 57
Help me please!! I can’t figure this out...
Answer:
-2
Step-by-step explanation:
-2-4/3-0=-2
you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values
Answer:
-2
Step-by-step explanation:
You can use the equation rise over run, which is basically y2-y1 over x2-x1
Y2 is -2 and y4 is 4, x2 is 3 x1 is 0
-2-4 over 3-0=-6/3=-2