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Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
Select the correct answer.
Convert (6,150°) to rectangular form.
Answer:
A
Step-by-step explanation:
basta letter A sagot dyan
Helpppppp pls
Find h.
h = [?] in
Answer:
h=rt.96=4 rt.6
Step-by-step explanation:
r=2 inches
therefore 100= root over h + 4
=>h=rt.96=4 rt.6
Select all the correct answers.
Which expressions are equivalent to the given expression?
Answer:
6√7=15.874507866387543=√252
Step-by-step explanation:
hope this is helpful
The expression that are equivalent to √252 are [tex]252^{\frac{1}{2} }[/tex] and 6√7.
How to find equivalent expression?
Applying the surd rule,
√a = [tex]a^{\frac{1}{2} }[/tex]
Hence,
[tex]\sqrt{252}=252^{\frac{1}{2} }[/tex]
using surd rule, we can also decompose √252
Therefore,
√252 = √36 × 7 = 6√7
Hence, the equivalent expression of √252 are as follows:
[tex]252^{\frac{1}{2} }[/tex]6√7learn more on expression here: https://brainly.com/question/27768447
#SPJ2
Solve for x.
3x + 10
3x +
x = [?]
Answer: x = 28
Step-by-step explanation:
3x+10+3x+2=180
6x+12=180
6x=168
x = 28
Answer:
x=28
Step-by-step explanation:
Since both lines going up are parallel, we can label the angle to the left of the angle with the measure of 3x+10 3x+2. These angles are supplementary as they are on different sides of the same line. This means that:
(3x+10)+(3x+2)=180
6x+12=180
6x=168
x=28
Which function has zeros at x = -2 and x = 5?
Answer:
f(x) = x² - 3x - 10
Step-by-step explanation:
Given zeros x = - 2 and x = 5, then the corresponding factors are
(x + 2) and (x - 5) , so
f(x) = (x + 2)(x - 5) ← expand using FOIL
= X² - 3X - 10
Answer:
f(x) = x² - 3x - 10
(option D)
Step-by-step explanation:
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer:
77
Step-by-step explanation:
i took the test
Answer:
c
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105
a=v2/rSolve the formula for r.
Answer:
r =v2 /a
Step-by-step explanation:
a=v2/r
ra=v2
r =v2 /a
Answer:
r = [tex]\frac{v^2}{a}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )
ar = v² ( divide both sides by a )
r = [tex]\frac{v^2}{a}[/tex]
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?
Answer:
Step-by-step explanation:
Lateral area, Al = a√(a² + 4h²)
Where,
a = base edge = 5 in
h = height = 10 in
Lateral area, Al = a√(a² + 4h²)
= 5√(5² + 4*10²)
= 5√(25 + 4*100)
= 5√(25 + 400)
= 5√425
= 5 * 20.615528128088
= 103.07764064044
Approximately,
Lateral area = 103.08 in²
Answer: 100
Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100
21
1
Simplify:
(Enter answer as a reduced fraction.)
3
12
Submit Question
Step-by-step explanation:
21/1
When a denominator is equal to 1, the fraction might be simplified, using this formula:
a/1=a
21/1=21
3/12
Reduce fraction
3/12=3÷3/12÷3
=1/4 or 0.25
Simplify -|-7 + 4|. please helppppp
Answer: -3
Step-by-step explanation:
-l-7+4l = -l-3l = - 3
ll means anything inside there is positive, so for example if -3 was in there, l-3l = 3
Answer:
- 3
Step-by-step explanation:
-|-7 + 4|
Simplify inside the absolute values first( like parentheses)
-|-3|
Take the nonnegative value for the absolute value
- 3
I need help here please
Answer:
Simultaneous equations
Step-by-step explanation:
4a + 7m = 17.75
2a + 5m = 10.75
Double the 2nd equation and then subtract the two equations to cancel the 4a out
Work with the 'm' terms and find the value of m
After finding the value of 'm', substitute it into one of the original equations (the ones given in the question) and solve to find the value of 'a'
Hope this helped
Please Help!!!! Please!!!!!!!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.
Joining A, B', C', and D will make a figure symmetrical about AD.
the slope of line (-1,1) (2,-5)?
Answer:
slope = 4/3
Step-by-step explanation:
(-1 , 1) = (x1 , y1)
(2 , 5) = (x2 , y2)
slope (m) = y2 - y1/x2 - x1
=5 - 1/2 - (-1)
=4 /2+1
=4/3
Please help I’ll give branliest
Answer:
optin d) 8
Step-by-step explanation:
[tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]
Hurry I need answers to this problem
I need help in this (￣▽￣)
Answer:
Step-by-step explanation:
a=-2.9
b=-2 5/8=-21/8=-2.625
c=-7/3=-2.333333
Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ
Answer:
A
Step-by-step explanation:
i don't know the real answer but i have learned it before so it's an educated guess
logo y = x means: log base b of y equals x.
True
False
If you meant to write [tex]\log_{b}(y) = x[/tex] then the statement is true.
As a more concrete example, something like [tex]\log_3(81) = 4[/tex] would be read out as "log base 3 of 81 is equal to 4".
Please answer quickly, simple geometry
OPTION C IS THE CORRECT ANSWER.
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
Luke's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when Sue's gauge shows 39.42?
Answer:
so for this we do
39.42*1.08=42.5736
Hope This Helps!!!
When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)
Answer:
(3,5)
5*3 = 15 .... 15-5 = 10
Step-by-step explanation:
Jude studied a total of 20.5 hours over a period of 5 days. On average, how many hours did Jude study each day
Answer:
4.1 hours each day
Step-by-step explanation:
20.5 ÷ 5
= 4.1
Therefore 4.1 hours was spent on studying each day.
(5^-4/4^-6) multiplied by 5^3
Step-by-step explanation:
(5^-4/4^-6) multiplied by 5^3
4⁶×5³/5⁴
4⁶/5
819.2
Answer:
[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]
Of the marbles in a bag, 4 are yellow , 4 are white , and 5 are green . Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. The probability that Sandra will choose a marble from the bag is
Answer:
Probability[Random choose marble is green] = 5 / 13
Step-by-step explanation:
Given:
Number of yellow marble in bag = 4
Number of white marble in bag = 4
Number of green marble in bag = 5
Find:
Probability[Random choose marble is green]
Computation:
Probability of an event = Number of favourable outcome / Number of total outcome
Probability[Random choose marble is green] = 5 / [4 + 4 + 5]
Probability[Random choose marble is green] = 5 / 13
Its due in 20 mins
Will mark brainliest
Answer:
a) 20 km away fro the starting point.
b) The bearing from P to R is 80°.
c) Q is 60 km North P.
d) Q is - 60 km west of P
Step-by-step explanation:
Stating Facts in the Question:
P to Q is 80 km and bearing 330°
It turned around, Q to R is 60 km and bearing 250°.
a) Picture a number line (Look at the first image)
You go 80 to the right. You turn around and go 60 to the left.
80 - 60 = 20
20 km away fro the starting point
b) Picture a number line (Look at the second image)
P to Q is bearing 330°
Q to R is 60 km is bearing 250°
P to Q is red
Q to R is blue
330° - 250° = 80°
The bearing from P to R is 80°
c) P to Q is 60 km
The plane went forward or North so the answer is 60 km.
Q is 60 km North P.
d) Q to P is 60 km
Q is not to the west of P
Q is - 60 km west of P
Convert the following decimal to fraction 3.04
Answer:
3 1/25
Step-by-step explanation:
3.04
Do the decimal part first
.04 = 4/100
Reduce - cancel out 4
1/25
Put back the whole number
3 1/25
Answer:
3 [tex]\frac{1}{25}[/tex]
Step-by-step explanation:
I agree with the previous answer :
You need to do it part by part.
0.04 is equal to [tex]\frac{4}{100}[/tex]
[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =
[tex]\frac{1}{25}[/tex]
And we still have those 3 wholes that we had in the beginning.
Now we add.
3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]
What percent is represented by the shaded area?
Answer:91%
Step-by-step explanation:
