factor -45x^3-60x^2-20x
Answer:
-5x(3x+2)²Step-by-step explanation:
Factoring the given expression:
-45x³ - 60x² - 20x = -5x(9x² + 12x + 4) = -5x(9x² + 6x + 6x + 4) = -5x(3x(3x + 2) + 2(3x + 2))-5x(3x + 2)(3x + 2) or -5x(3x+2)²Answer:
−5x(3x+2)^2
Step-by-step explanation:
-45x^3-60x^2-20x
Factor out 5.
5(−9x^3-12x^2-4x)
Consider −9x^3-12x^2-4x. Factor out x.
x(−9x^2−12x−4)
Consider −9x^2−12x−4 Factor the expression by grouping. First, the expression needs to be rewritten as −9x^2+ax+bx−4. To find a and b, set up a system to be solved.
a+b=−12
ab=−9(−4)=36
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 36.
−1,−36
−2,−18
−3,−12
−4,−9
−6,−6
Calculate the sum for each pair.
−1−36=−37
−2−18=−20
−3−12=−15
−4−9=−13
−6−6=−12
The solution is the pair that gives sum −12.
a=−6
b=−6
Rewrite −9x^2−12x−4 as (−9x^2−6x)+(−6x−4).
(−9x^2−6x)+(−6x−4)
Factor out −3x in the first and −2 in the second group.
−3x(3x+2)−2(3x+2)
Factor out the common term 3x+2 by using distributive property.
(3x+2)(−3x−2)
Rewrite the complete factored expression.
5x(3x+2)(−3x−2)
Question 7 of 10
What is the length of BC in the right triangle below?
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
BC = [tex]\sqrt{225}[/tex] = 15 → A
Answer:
A
Step-by-step explanation:
During the Dallas marathon, a helicopter monitors the racers at a height of 527 feet. The pilot can see the runners that are in first and second place. The angle of elevation from the runner in first place to the helicopter is 45 degrees. The angle of elevation from the runner in second place to the helicopter is 60 degrees. What is the distance from the runner in 2nd place to the point directly below the helicopter? Round your answer to the hundredths place.
The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:
304.26 feet.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The parameters for this problem are given as follows:
Distance of x adjacent to the angle of 60º.Opposite side of 527 feet, which is the height.Hence the distance is obtained applying the tangent function as follows:
tan(60º) = 527/x
x = 527 / tangent of 60 degrees
x = 304.26 feet.
More can be learned about trigonometric ratios at brainly.com/question/24349828
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PLEASE ANSWER ASAP !!!
Answer:
( -5.5 , -5 ) !!
Step-by-step explanation:
If you were to use the equation to find midpoint, u'd end up with this !! I wrote down my work, so I can add it unless with another picture, but I really hope this helped !!!
find the commission earned or the rate of commission. Round money answers to the nearest tenth if necessary. Sells $420 Commission $31.50. I will mark brainliest. any answers on here that don't belong will be reported .
Answer:
7.5 %
Step-by-step explanation:
31.50/420 = 0.075 = 7.5 %
Answer:
7.5% commission
Step-by-step explanation:
420 x r = 31.50
420r = 31.50
r = 31.50/420
r = 0.075
multiply by 100 to get the percentage, = 7.5%
Does anyone know the answer?
Answer:
sis 3rd option is correct
Factor the expression completely.
24x-56
Answer: -1344
Step-by-step explanation:
Multiple: 24 * (-56) = -1344
What dose the mean
Because I don't get it
Answer:
On the coordnite grid the y axis use rise over run
You go up 1 spaces and go across 3 spaces
If you still dont get it use algebra calculator sit.e
Step-by-step explanation
Whats a decimal in tenths that is less than 2.4 but greater than 2.0
Answer:
If your looking for 2.4 - 2.0 just see what numbers are between them 2.1 2.2 and 2.3
Step-by-step explanation:
Answer:
2.3 or 2.2 or 2.1
Step-by-step explanation:
7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
Jomaya has $15. She saves $2 every day. How many days will it take Jomaya to save $25?
Answer: 12.5
Step-by-step explanation: 2times 12.5 is 25
Answer:
5 days
Step-by-step explanation:
To find out this question, we can subtract the amount she wants to get, 25, by the amount she has, 15:
25 - 15 = 10
So, Jomaya wants to save up $10, and because she saves $2 every day, we can divide:
10 / 2 = 5
So, it will take Jomaya 5 days to save $25
Hope this helps :)
Angle EFG is 80
Find side of angle x
For the expression 2 x squared + 28 x + 93 Over (x + 6) cubed, which sum represents the correct form of the partial fraction decomposition?
Answer:
Option-3
Step-by-step explanation:
got-it-lol
also-keyboard-broke:(
how would I do this?
Answer:
umm
Step-by-step explanation:
Solve for x:
Solve for y:
Answer:
x = 12
y = -2
Step-by-step explanation:
In a parallelogram, the sides opposite each other are equal.
Hence: PQ = SR and PS = QR
2x + 12 = 4x - 12
Rearrange to make x's on one side and the numbers on the other
4x - 2x = 12 + 12
2x = 24
x = 12
____________
y + 25 = 6y + 35
Rearrange to make y's on one side and the numbers on the other
6y - y = 25 - 35
5y = -10
y = -2
Help meeeeeeee! I will give brainly just do it soon!
Answer:
x=25
Step-by-step explanation:
hope this is correct!
If you make 20 dollars a week how many weeks will it take you to reach the goal of 900 dollars.
Answer:
45 weeks
Step-by-step explanation:
20 dollars per week *week = goal
900/20 = 45
meaning 45 weeks
Answer:
45 weeks
Step-by-step explanation:
900÷20=45
so it will take 45 weeks
Which factors cause air masses to move in the United States? Check all that apply.
prevailing easterlies
prevailing westerlies
jet stream
trade winds
front
Answer:
B and C
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
1/9 + -5/9 PLEASE HELP
Answer:
-4/9
Step-by-step explanation:
Karen has 12 items in her suitcase. Which is the most reasonable prediction for the total weight of her suitcase?
Answer:
12345t6yui
Step-by-step explanation:
if the ratio of two numbers is 2;3 and their G.C.F is 8 what is their L.C.M
Expert Answer:
Since the numbers are in the ratio 3:4 then let the numbers be 3x and 4x.
Thus the H.C.F. of the two numbers = x.
But the H.C.F is given as 4.
So, x = 4.
So, the numbers are,I
3x = 3 x 4 =12
And
4x = 4 x 4 = 16
We know,
H.C.F x L.C.M = Product of the two numbers
4 x L.C.M = 12 x 16
L.C.M = 48
Thus, the L.C.M of 12 and 16 , 48
There are 20 apples. Divide the
the ratio
3:4:5
in
apples
Answer:
sorry kailangan ko lang maka score
A food pantry is making packages. Each package weighs 64 pounds.
Here are two situations. For each situation, write and solve an equation to represent the situation, then explain what your solution means in the situation. If you get stuck, try drawing a diagram. (upload your work when complete)
1.Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice.
2.The bags of rice are all identical. Each package contains 4 identical bags of rice and a 7-pound bag of beans.
Please i rly need this!!!!!!!!!
Answer:
1) x = 14.25 2) 9
Step-by-step explanation:
1) 1 Package = 4 boxes
1 Box = 7 pounds of beans
Your equation should be 4x + 7 = 64...
because 64 is the total pounds that each package weigh! 4 becomes a a variable; 4x because it has the word "each" in it. Mostly likely, when you see "each" that number becomes a variable. 7 is a just an number you have to add to the equation.
Solve!
4x + 7 = 64
- 7 - 7 Subtract 7 from both sides
4x = 57
4x / 4 = 57 / 4 Divide 4 from both sides
x = 14.25
2) 9
What is the value of x in the figure below
Answer:
x=9
Step-by-step explanation:
3x+9=35
3x+9-9=35-9
3x=27
3x/3=27/3
x=9
Answer:
Step-by-step explanation:
3x+8 = 35
3x = 27
x = 9°
please solve thanks lovee
Answer:
m∠1 = 93.5°
Step-by-step explanation:
By theorem of intersecting chords inside a circle,
If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.
m∠1 = [tex]\frac{1}{2}(92+95)[/tex]
= [tex]\frac{187}{2}[/tex]
= 93.5°
Therefore, measure of angle 1 is 93.5°.
WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
Answer:
-1.8
Step-by-step explanation:
-9 divided by 5= -1.8
Hope this helps!! Please mark brainlliest. :) :)
Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures
9∘C
3∘C
22∘C
-5∘C
11∘C
15∘C
In the number 222, how many times larger is the value of the digit in the tens place than the value of the digit in the ones place?
Answer:
hi to everyone for me and the kitchen and
In a season a soccer team won 13 games, lost 8 games, and tied 1 game. What is the ratio of games won to games lost? Write your ratio using a colon.
Answer:
13:8
is the answer because if you take the games won and lost this is what you get
Step-by-step explanation:
A scuba diver descends 80 feet, rises 25 feet, descends 12 feet, and then rises 52 feet where he will do a safety stop for five minutes before surfacing. At what depth did he do his safety stop?
Answer:
15 ft
Step-by-step explanation:
At 15 feet below the surface, the scuba diver did his safety stop.
What is the surface?The surface is the common region between two different mediums. Here in the question surface is the common region between seawater and above seawater.
Let us denote the values of descending by negative sign and rising by positive sign and we sum up all the values together.
∴ [ - 80 + 25 + (-12) + 52 ] feet.
= (-80 + 25 - 12 + 52) feet.
= - 15 feet.
So, at 15 feet below the surface the scuba diver dis his safety stop.
learn more about surface here :
https://brainly.com/question/8158833
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