Answer: [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
Step-by-step explanation:
GCF = Greatest common factor.
For example: 6 is the GCF of 12 and 18.
The given expression: [tex]5x^2y - 30xy^2 - 35y^3[/tex]
It can be written as
[tex]5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)[/tex]
Taking out common factor [tex]5y[/tex] , we get
[tex]5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)[/tex]
Hence, [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
The table and the graph each show a different relationship between the same two variables, x and y: (Both of the tables are shown below) How much more would the value of y be in the table, than its value on the graph, when x = 11? (1 point) 55 95 100 215
Answer:
55
Step-by-step explanation:
Table - 450 + 540 = 990
Graph - 850 + 85 = 935
On the table eleven would equal 990.
On the graph eleven would equal 935.
990 - 935 = 55
Answer this Please (10) points for this
luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel
Answer:
6p=$13.50
Step-by-step explanation:
A ________ represents data through pictures of objects.
Select the correct answer
What is the range of this function?
Answer:
The answer is A.
Step-by-step explanation:
Plato
The range of the function is (A)
What is graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
As, per the graph we can see that the range for y starts from negative infinity but it only exceeds upto +4.
Hence, the range is -∞ < y ≤ 4.
Learn more about graph here:
https://brainly.com/question/16608196
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112 is between which two whole numbers?
Answer:
10 and 11
Step-by-step explanation:
PLS HELP ME NOW THERE DIFFERENT QUESTIONS
Antar makes a total of $40.75
selling comic books and packages
of baseball cards. If he sells 13
books for $2.50 each, how many
packages of baseball cards did he
sell at $0.75 each?
Answer:
The answer would be he sold 11 packs of baseball cards at $0.75 each.
Step-by-step explanation:
11 packs of cards at 75 cents each.
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
I will give brainiest to whoever answers correctly !!
Answer:
$80.75
Step-by-step explanation:
From the question, we are given the following parameters
Amount borrowed (principal)=$3800
Time=3 months =1/4 years
Rate = 8.5%
Required
Interest paid by the man
Using the simple interest formula;
SI= Principal*Rate*Time/100
SI=3800*8.5*0.25/100
SI=38*8.5*0.25
SI=$80.75
Hence the man paid $80.75 for the use of the money
PLEASE MARK ME AS BRAINLIEST
Solve for x. ( Look at the picture). I don't know the answer. I accidentally click on option A.
Answer:
x = ±3/5
Step-by-step explanation:
x² = 9/25
x = √9/√25
x = ±3/5
PLEASE HELP URGENT!!!!!!!! WILL GIVE BRAINLIEST
789779889900000808907767478
Step-by-step explanation:
there you go!
4 hundreds = _ ones
Answer:
4 hundred ones
Step-by-step explanation:
4 hundreds = 400
400 = 4 hundred ones.
The only difference is the plural use and singular use.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
1 is greater than or equal to X, and - 3 is less than X
Answer:
so much for the first time I was just wondering if you want to be a good member of the
Which parallelogram has an area of 60 units?
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Step-by-step explanation:
Given
[tex]h(t)=(139kt)^2-69t+80[/tex]
For roots [tex]h(t)=0[/tex]
[tex](139kt)^2-69t+80=0\\t=\dfrac{69\pm\sqrt{(-69)^2-4\times (139k)^2(80)}}{2\times 139}\\[/tex]
[tex]t=\dfrac{69\pm\sqrt{4761-6182720k^2}}{278}[/tex]
Larger root: [tex]t=\dfrac{69+\sqrt{4761-6182720k^2}}{278}[/tex]
smaller root: [tex]t=\dfrac{69-\sqrt{4761-6182720k^2}}{278}[/tex]
For exactly one root D=0
i.e. [tex]4761-6182720k^2=0\\\\k=\dfrac{69}{139\times 4\times 2\times \sqrt{5}}\\k=0.0277[/tex]
Write 15/2 as a mixed number.
Give your answer in its simplest form.
Answer:
[tex]7 \frac{1}{2}[/tex]
hope this helps :))
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviation of 4 and Y has a mean of 35 with a standard deviation of 3, what is the probability that a randomly generated value of X is greater than a randomly generated value of Y
Answer:
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3[/tex]
What is the probability that a randomly generated value of X is greater than a randomly generated value of Y
This means that the subtraction of X by Y has to be positive.
When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So
[tex]\mu = \mu_X - \mu_Y = 45 - 35 = 0[/tex]
[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5[/tex]
We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - 10}{5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y
Factor the following quadratic function:
-
y = 7x2
- 48x - 7
How do I do it
Answer:
(7x + 1)(x - 7).
Step-by-step explanation:
y = 7x^2 - 48x - 7
Use the 'ac' method:
7 * 7 = 49
Now we need 2 numbers whose product is 49 and whose sum is the 'middle' number -48.
They are -49 and 1,
Now we write the function as:
7x^2 - 49x + 1x - 7
= 7x((x - 7) + 1(x - 7) (x - 7) is common so we have
(7x + 1)(x - 7).
Evaluate: x(y – 5) for x = 2 and y = 7
Answer:
Replace all occurrences of x x in x−y=5 x - y = 5 with 7−y 7 - y . x=7−y x = 7 - y. (7−y)−y=5 ( 7 - y ) - y = 5. Subtract y y from −y - y . x=7−y x = 7 - y. 7−2y=5 7
Step-by-step explanation:
6[x+1]=-2[3x+9] please show work will give brainlist
Answer:
Step-by-step explanation:
6(x+1) = -2(3x+9)
6x+6 = -6x-18
6x+6x+6-6 = -6x+6x-18-6
12x=-24
x= -2
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer:
B
Step-by-step explanation:
The answer is B. If you look at the graph at its current state you can see that the lines are parallel to each other. This is important because it says TWO lines are being translated and rotated. So whatever happens to one line happens to the other line which proves they were always parallel to each other.
help w number 8, will mark brainliest !!!
Answer:
d
Step-by-step explanation:
because both the measurement and the congruent side are opposite in sentence
What is the potential energy of a 500-N pole-vaulter when she is 4 m above the ground?
Answer:
2000J
Step-by-step explanation:
mg=500
h(height)=4
500 x 4 = 2000J
what is 1=7426-x plas answere
Answer:
x= 7426-x is your answer
The scores on a test are normally distributed with a mean of 70 and a standard deviation of 14. Find the score that is two and one half standard deviations below the mean
Answer:
35
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 70
σ is the population standard deviation = 14
We were given the z score in the question as: Two and one half standard deviations below the mean
Hence:
= μ - zσ
= 70 - 2.5(14)
= 70 - 35
= 35
The score that is two and one half standard deviations below the mean is 35
g(x) = 3x + 2
f(x) = 4x - 3
Find: f(g(x))
Answer:
5
Step-by-step explanation:
g(x)=3x+2
g(x)÷x=3x÷x+2
g=3+2
g=5
f(x)=4x-3
f(x)÷x=4x÷x-3
f=4-3
f=1
3x+2÷g=4x-3÷f
2÷g=x-3÷f
5÷g=x÷f
5÷5=x÷1
1=x
1×(5×1)
5
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?
Answer:
210 in²Step-by-step explanation:
Use the formula for area:
A = 1/2bhEach triangle will have the area of:
A = 1/2*6*14 = 42 in²Total amount of plywood will be:
42*5 = 210 in²SAMPLE QUESTION 2
Which number has the lowest value?
O 1/6
O 1/3 - 1/6
O 2/3 - 1/7
O 1/3 - 1/4
Answer:
4 rth answer is correct if it is wrong plz comment
Step-by-step explanation:
=14-3/21
=11/21
=
2-1/6
1/6
4-3/12
1/12
What is -6x - 10(x - 4)
