Factor 5x 4 - 30x 2 - 135. 5(x2 + 9)(x2 - 3) 5(x - 3)(x + 3)(x2 - 3) 5(x - 3)(x + 3)(x2 + 3)
Answer:
Step-by-step explanation:
[tex]5x^{4} -30x^{2} -135[/tex]
We need to pull out 5 to make the rest easier to factor.
[tex]5(x^{4} -6x^{2} -27)[/tex]
Now we can factor.
Consider all combinations of how to get 27.
1 x 27
3 x 9
And that's it before you end up just switching the place i.e. 9 x 3 and 27 x 1
This makes it easy to see that 3 and 9 are our best choice because 9 - 3 is 6 which is our middle term in the equation.
So now we have:
[tex]5(x^{2} -9)(x^{2} +3)[/tex]
We can break down [tex]x^{2} -9[/tex] even further because it's a perfect square.
(x - 3)(x + 3)
Our final factor is
5(x - 3)(x + 3)[tex](x^{2} +3)[/tex]
Two cyclists begin riding in the same direction at a constant rate, one at 20 km/h, the other at 16 km/h. How long will it take until they are 8 km apart?
Answer:
fdfbsdfb
Step-by-step explanation:
dfgfdg
Answer: It will take 2 hours
Step-by-step explanation:
Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 pounds. What is the price per pound?
(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.
Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor
0.72 AU is the answer
4 1/3 times b = b = 6b + 10.4
Answer:
The answer is 26b + 45.06667
A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?
Answer:
50 penguins
Step-by-step explanation:
Let the total number of penguins = x
30% of x = 15
[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]
Answer:
50
Step-by-step explanation:
15 x 100 equals 1500
1500 divided by 30 equal 50
Hopefully this helps you :)
pls mark brainlest ;)
Find the solution.
1. 20 - (12 - 7) =
Answer:
the answer is 15
Step-by-step explanation:
What is 1.2 equivalent to
Answer: 6/5
Step-by-step explanation:
the decimal " 1.2 " is equivalent to the fraction " 6/5 "
What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 minus 1.4 times 2 EndFraction 0.28 0.89 1.91 2.11
Answer:
The answer is 2.11~! I hope I helped <3
Step-by-step explanation:
3.5x2=7 7+9=16 1.4x2=2.8 10.4-2.8=7.6 16/7.6=2.10526315789
but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!
Answer:
2.11
Step-by-step explanation:
I got it correct on the test
10x + 36 = 8x -36
What is x?
Answer:
x= -36
Step-by-step explanation:
Hope this helps.
Answer:
[tex]x = -36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]10x + 36 = 8x - 36[/tex]
-Subtract [tex]8x[/tex] from [tex]10x[/tex] :
[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]
[tex]2x + 36 = -36[/tex]
-Subtract both sides of the equation by [tex]36[/tex] :
[tex]2x + 36 - 36 = -36 -36[/tex]
[tex]2x = -72[/tex]
-Take [tex]2x[/tex] divide it on both sides:
[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]
[tex]x = -36[/tex]
So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
6. How many 1/2 hour periods will make up 4 hours?
Answer: it will take 8 periods of 1/2 hour to make up 4 hours
Step-by-step explanation:
It will take 8 periods of 1/2 hour to make up 4 hours.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Half an hour is 30 minutes,
There are 60 minutes in an hour.
4 hours=240 minutes.
240/30 = 8
Hence, 8 periods of 1/2 hour to make up 4 hours.
Learn more about Arithmetic operations
https://brainly.com/question/25834626
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I NEED HELP ANSWER ASAP. I NEED SOMEONE WHO CAN I HELP ME WITH MY OTHER QUESTIONS
Answer:
3,0
Step-by-step explanation:
hopefully this helps you
pls mark brainlest if it is correct
what is the distance between (8, -3) and (4, -7
Answer: I HOPE IT HELPS
Step-by-step explanation:6
√
2
≈
8.49
to 2 decimal places
Explanation:
Calculate the distance ( d ) using the
distance formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
where
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
are 2 coordinate points
The 2 points here are (-8 ,4) and (-2 ,-2)
let
(
x
1
,
y
1
)
=
(
−
8
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
−
2
)
d
=
√
(
−
2
+
8
)
2
+
(
−
2
−
4
)
2
=
√
36
+
36
=
√
72
x
=
√
36
×
2
=
√
36
×
√
2
=
6
√
2
≈
8.49
The two pentagons in the sketch below are congruent. Which sequence could transform pentagon GHIJK to pentagon
LMNOP?
-A rotation 90° counterclockwise about the origin followed by a translation 6 units down
-A rotation 90° clockwise about the origin followed by a translation 6 units down
-A rotation 180° clockwise about the origin followed by a translation 6 units down
-A rotation 90° counterclockwise about the origin followed by a translation 6 units up
Answer:
b
Step-by-step explanation:
its b
Answer:
Its B.
Step-by-step explanation:
4. What do your measurements in #3 tell you about the lengths of PR and QS ? Explain your thinking and then
measure to verify your conjecture. Be sure to state your measurements.
Answer:mn
Step-by-snbtep explanation:
Joey earned $10 for every car he washed on Friday. If he earned $190, how many cars did he wash?
Answer:
19
Step-by-step explanation:
(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial
=========================================================
Explanation:
n = numerator polynomial = unknown (what we want to solve for)
d = denominator polynomial = x-2
q = quotient = x-6
r = remainder = -6
Based on that, we can say,
n/d = q + r/d
n = q*d + r ... multiply every term by d
n = (x-6)(x-2) + (-6) .... substitution
n = x^2-8x+12-6
n = x^2-8x+6
Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.
The midpoint of JK
is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.
What is answer 2x+8= -4
Answer:
x=-6
Step-by-step explanation:
2x=-4-8
2x=-12
2x/2=-12/2
x=-6
Answer:
x = - 6
Step-by-step explanation:
2x+8 = 4
Subtract 8 from both sides:
2x+8-8 = - 4 - 8
Simplify :
2x = -12
Divide both sides by 2 :
2x/2 = -12/2
Simplify :
-12/2 : -6
x = -6
Hope it Helps :) !!
What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?
In the bin there is a 45% chance of randomly selecting ripe avocados. If you are picking avocados from the bin, you keep inspecting avocados and stop upon finding a ripe avocado. If you buy a bag of avocados, you do not inspect the fruit until you get home and inspect the bag of avocados all at once.
1. What is the probability that you have inclusively between 2 and 3 ripe avocados from your bag of 5 avocados?
2. What is the probability that you inspect inclusively 3 and 3 avocados from the bin?
Answer:
0.6125
Step-by-step explanation:
We have,
P(ripe avocados) = 0.45 , n = 5
by binomial distribution,
P(x=k) = [tex]${\overset{n}C}_k P^k(1-P)^{n-k}$[/tex]
P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)
P(x=2) = [tex]${\overset{5}C}_2(0.45)^2(0.55)^3$[/tex]
= 10 x (0.45)² x (0.55)³
= 0.3369
P(x=3) = [tex]${\overset{5}C}_3(0.45)^3(0.55)^2$[/tex]
= 10 x (0.45)³ x (0.55)²
= 0.2756
So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756
= 0.6125
What is 503.782 to the nearest then tenth
Answer: 503.8
Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.
if the rits car is going 69mph and his destination is 4 hours and 20 minutes away how long will it take for the rits car to get to his destination.
Answer:
it will take 4 hours and 20 minutes
2 [30- (28-2)] +5
answer with explanation please!
Answer:
13
Step-by-step explanation:
Simplify the following:
2 (30 - (28 - 2)) + 5
Hint: | Subtract 2 from 28.
| 2 | 8
- | | 2
| 2 | 6:
2 (30 - 26) + 5
Hint: | Subtract 26 from 30.
| 2 | 10
| 3 | 0
- | 2 | 6
| 0 | 4:
2×4 + 5
Hint: | Multiply 2 and 4 together.
2×4 = 8:
8 + 5
Hint: | Evaluate 8 + 5.
8 + 5 = 13:
Answer: 13
well first u will solve the numbers in the brackets;
=2 (30-6)+5
=2 (23)+5
then 2 will be multiplied with 23;
=46+5
=51
the answer is 51.
If each group has the greatest possible number of club members,
how many groups of sixth graders and how many groups of seventh
graders will there be? Use numbers and words to explain your answer.
what is 10^-9 plsplsp,sp,lskdkajgnjsogdhgjerojgjer