[tex]2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)[/tex]
[tex]\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT[/tex]
Answer: B = 22x+6= 45
Solve for x
49 pts
2x+6=45
2x=39
x=19.5
i hope that's helpfull......... is it?
2x + 6 = 45
2x = 45 - 6
2x = 39
x = 39 : 2
x = 39/2 or 19.5 (39 : 2=19.5)
help me with this question
could you rewrite it or is it (54-6)+54/6
because that would be 48+9=57
PLEASE HELP!!!!!
Which graph shows y= ⌊x⌋ + 3
I think its B (top right)
what is thee prime factors of 60
2*2*3*5 are the prime factors of 60
2, 3 and 5 are the prime factors of 60.
the larger of two numbers is seven less than three times the smaller number. if the sum of the number is 61 , find the numbers
Large number and small number are 44 and 17
Given:
Sum of two number = 61
Find:
Both numbers
Assume;
Small number = a
Large number = 3a - 7
Computation:
a + 3a - 7 = 61
4a - 7 = 61
4a = 61 + 7
4a = 68
a = 68 / 4
a = 17
So,
Small number = 17
Large number = 3a - 7
Large number = 3(17) - 7
Large number = 51 - 7
Large number = 44
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The graphs below show the number of honor roll students in each grade at Bridgeport Middle School. Which statement is true??
A. According to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll.
B. The scale on Graph 1 does not distort the differences in the number of students.
C. The two graphs use completely different data
D.both: “according to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll” and “the two graphs use completely different data”
Lea bought 225 flowers and 12 vases. She put about the same number of flowers in each vase. Which is the best estimate for the number of flowers in each vase
This answer can be found by deviding 225 by 12. The exact answer is 18.75, but obviously you can’t put 3/4 of a flower in a vase. In that case, the best estimate would be 18-19 flowers, or just 19.
There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?
A. 0
B. 4^6
C. 4^7
D. 4^24
Answer:
The answer is B [tex]4^{6}[/tex].
Step-by-step explanation:
The number of horses is given by the expression;
[tex](4^{2} )^{3} *4^{0}[/tex]
First we can simplify the value to the left of the multiplication,
[tex](4^{2} )^{3}[/tex]
This is a indices multiplication so we can rewrite this as,
[tex]4^{6}[/tex]
Now we can look at the value that is to the right of the multiplication.
[tex]4^{0}[/tex]
If you take any number that is not 0 and it's index is 0 the value of that number will be one.
Therefore, [tex]4^{0}[/tex] = 1
Now we can write the full expression as;
[tex](4^{2} )^{3} *1[/tex]
=[tex](4^{2} )^{3}[/tex]
=[tex]4^{6}[/tex]
Therefore the answer is B [tex]4^{6}[/tex].
Answers pleaseeee helppp!!!
Answers to what? There's no image or anything on here
What is equivalent form of the expression 15x + 24ax
An expression is a collection of numbers and variables in a given operation, the equivalent expression of the given expression 15x + 24ax is 3x(5+8a).
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
The example of expression is 2x + 3y = -8. Here x and y is referred to as variable and 2,3. And 8 will be constant.
Another example of an algebraic expression is 4x + 8x² < 56.
The given expression is,
15x + 24ax
Taking x as common
x(15+24a)
Taking 3 common
3x(5+8a)
Hence "The equivalent expression of the given expression 15x + 24ax is 3x(5+8a)".
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Can someone tell me the exact answer to this question pls and thank you I will give brainliest
(- 1, 2 ) and ( -1, 0) have the same x-value
for the graph to represent a function there must be only one y- value for each x- coordinate. Here there are 2 so this is not a function
find the quotient: -10/19 divided by (-5/7) ?
In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.
Explanation:The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).
Let's perform the operation step-by-step:
Invert the divisor (i.e., flip fraction (-5/7) to (7/-5) or -7/5)Replace the division symbol with a multiplication symbol, we get: -10/19 * -7/5Multiply the numerators: (-10) * (-7) = 70Multiply the denominators: 19 * 5 = 95Combine the resulting numerators and denominators to form a fraction: 70/95Simplify the result: 14/19So, the result of -10/19 divided by (-5/7) is 14/19.
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BRAINLIEST ANSWER TO FIRST PERSON TO ANSWER
The diagram below shows two parallel lines and a transversal. If the measure of angle 2 is 47 degrees what is the measure of angle 3?
A. 43
B. 47
C. 153
D. 133
Your answer is B.47 degrees
cathy needs to collect linear data which set of data should cathy collect
A. The height of a building for 20 years.
B.The height of a person from birth till 20
C. the height of a tree for 20 years.
D. The height of an elephant for 20 years.
Option A is correct.
Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.
Explanation:
Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8) and so on.
So slope = [tex]\frac{difference in y}{difference in x}[/tex]
= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]
= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]
So, here slope is 2 for all coordinates.
Tina has 15 pets they include Birds cats fish and hamsters she has twice as many hamsters as cats and together her pets have a total of 40 legs
how many of each kind of pet does Tina have
what percent of Tina pets are cats
Answer:
First answer
number of cats = 2
number of hamsters = 4
number of birds = 8
number of fishes = 1
Second answer
number of cats = 3
number of hamster = 6
number of birds =2
number of fishes = 4
Step-by-step explanation:
Let the number of cats be x . Let number of birds be y and Let number of fishes be z.
number of hamsters = 2 number of cats
=2x
birds +cats + hamsters + fish = 15
y +x +2x + z = 15
y +3x + z = 15
then number of hamsters = 2x
birds has legs = 2
hamster legs = 4
cats legs = 4
total legs =40
2y+4x+4(2x) =40
2y+12x = 40
y+6x = 20 ,Since x ,y z are natural number ,since x ,y and z are numbers of pets of each kind which have to be natural number ,therefore
Case 1 for y = 2 x = 3
for y = 8 x = 2
for y = 2 and x =3 ,we have
2+3(3) +z = 15
2+9+z = 15
11 +z = 15
z = 15 -11 = 4
Case 2
for y= 8 and x=2 ,we have
8 +3(2) + z = 15
8 +6 +z = 15
z =15-14 = 1
We have two answers for this problem
First answer
number of cats = 2
number of hamsters = 4
number of birds = 8
number of fishes = 1
Second answer
number of cats = 3
number of hamster = 6
number of birds =2
number of fishes = 4
For case 1 fish % = [tex]\frac{1}{15} x100[/tex]=6.67 %
For case 2 fish = [tex]\frac{3}{15} X100=20%[/tex]
Tina has 3 cats, 6 hamsters, 8 birds, and 0 fish, therefore 20% of her pets are cats.
Explanation:First, let's denote the number of cats as 'x'. According to the question, the number of hamsters, which have twice as many as cats, is '2x'. Every cat and hamster has 4 legs. So the total number of legs from cats and hamsters is 4x (from cats) + 8x (from hamsters) = 12x. We know that the total number of legs is 40, so we can solve the equation 12x=40, therefore 'x', the number of cats, is approximately 3, making hamsters 6 (2x). This adds up to 9 pets, leaving us with 15 - 9 = 6 birds and fish. Since birds and fish have two legs and zero legs, respectively, the last 16 legs must belong to birds. That leaves the remaining pets (6-8=0) as fish.
As for the percentage of Tina's pets that are cats, we use the formula for finding a percentage: (number of cats / total number of pets) * 100. So, (3 / 15) * 100 = 20%. Therefore, "20% of Tina's pets are cats".
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Decrease £200 by 12.5%
Which equation is the inverse of y=9x^2-4
The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]
Given the expression y = 9x^2 -4
Replace y with x to have
x = 9y^2 -4
Make y the subject of the formula to get the inverse function
9y^2 = x+ 4
[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]
Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]
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a farmer uses 3 ons of fertilizer on 14 acres of land . how many acres can he fertilize with 45 tons
Answer:
84 acres
Step-by-step explanation:
A polynomial has been factored, as shown below:
f(x) = (x − 9)(x + 12)(x − 24)
What are the zeros of the polynomial?
−9, 9, −12, 12, −24, 24
−9, 12, −24
9, −12, 24
9, 12, 24
9, -12, 24
The zeroes are the numbers in the parentheses with the opposite signs (-9 becomes 9, 12 becomes -12, and -24 becomes 24)
The zeros of the polynomial are 9, −12, 24.
option (c) is correct.
It is given that the polynomial is
f(x) = (x − 9)(x + 12)(x − 24)
To find the zeros of the polynomial.
What of polynomial?A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.
The given polynomial is
f(x) = (x − 9)(x + 12)(x − 24)
If f(x) =0
0 = (x − 9)(x + 12)(x − 24)
then
x-9=0 or x+12=0 or x-24=0
x=9 or x=-12 or x=24
so , the zeros of the polynomial are 9, −12, 24.
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Using the slope and the y- intercept, graph the line represented by the following equation. Then select the correct graph. 2 y + 4 = 0
the slope is 0 so the answer is the graph with the horizontal line going through -2
the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length
We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
w = l - 12
156 = 2l + 2w
Since we have a value of w, we can plug that into the variable w to find the exact value of l.
156 = 2l + 2(l - 12)
Distributive property.
156 = 2l + 2l - 24
Combine like terms.
156 = 4l - 24
Add 24 to both sides.
180 = 4l
Divide both sides by 4.
l = 45
Now that we have the exact value of l, we can find the exact value of w.
w = l - 12
w = 45 - 12
w = 33
We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)
We can verify by plugging these values into the second equation.
156 = 2l + 2w
156 = 2(45) + 2(33)
156 = 90 + 66
156 = 156 √ this is correct.
what is 10m-p= -n, solve for m
someone help i suck at math.
Hello!
Solve for m.
Answer:⇒⇒⇒⇒⇒⇒⇒[tex]m=\frac{-n+p}{10}[/tex]
Step-by-step explanation:
Add p from both sides.
[tex]10m-p+p=-n+p[/tex]
Simplify.
[tex]10m=-n+p[/tex]
Divide by 10 from both sides.
[tex]\frac{10m}{10}=-\frac{n}{10}+\frac{p}{10}[/tex]
[tex]m=\frac{-n+p}{10}[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
-Charlie
The solution of the equation 10m - p = - n for m is (p - n)/10.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
Given the equation,
10m - p = - n
10m = -n + p
10m = p - n
m = (p - n)/10
Hence "The solution of the equation 10m - p = - n for m is (p - n)/10".
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Janie receives an allowance of \$3dollar sign, 3 per week. In addition, she can earn \$2dollar sign, 2 for each chore she does. This week, she wants to earn enough money to buy a CD for \$13dollar sign, 13. Janie can do fractions of chores. Write an inequality to determine the number of chores, c, Janie must do this week to earn enough money to buy a CD.
you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day when you have the same lesson again, how many piano lessons will you have in between? how many tuba lessons will you have in between?
You will have 2 piano lessons and 6 tuba lessons
To solve this, we find the least common multiple (LCM) of 7 and 3, which is 21. Not counting the initial or ending day, there are 19 days in between, during which time 2 piano lessons and 6 tuba lessons occur.
Explanation:The key concept in this question is the Least Common Multiple (LCM) of two numbers. Given that you have piano lessons every 7 days and tuba lessons every 3 days, we are seeking to find out when these cycles will align again. The LCM of 7 and 3 is 21, meaning that you will have both lessons on the same day every 21 days.
Not counting today or that next joint lesson day (a total of 21 days), we then have 19 days remaining. For piano lessons, since they occur every 7 days, you will have 19 / 7 = 2 piano lessons in between, with some non-whole number of days leftover. Similarly, you will have 19 / 3 = 6 tuba lessons in between, again with a non-whole number of days leftover. Therefore, the answer is 2 piano lessons and 6 tuba lessons.
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Find the quotient. 4 r ÷ 4 s
A.4r ÷ s
B.4r - s
C.4r + s
Answer:the answer is b 4r-s
Step-by-step explanation:
Answer: The correct answer is (B.) 4^r-s
Step-by-step explanation:
When dividing exponents you subtract them by each other, but because r and s are not the same and represent a different type of number, we just show that they were subtracted by each other.
4^r-s
Lynn has two jobs. She earns $7.50 per hour as the hostess for a restaurant and earns $10 per hour babysitting for a neighbor. Part 1 Which inequality represents the number of hours working as a hostess, h, and the number of hours babysitting, b, that Lynn needs in order to earn at least $150 in one week?
HELLLPPP MEEE!!! (again)
She need to work a total of 6 hours of being a hostess because if she just works 5, she will not get the total $150 she needs to earn. I took this test and I got it correct.
The inequality that represents the number of hours Lynn needs to work both as a hostess and babysitting in order to earn at least $150 in a week is 7.5h + 10b ≥ 150. Here 'h' is the number of hours Lynn works as a hostess and 'b' is the number of hours she babysits.
Explanation:Understanding the QuestionTo solve this mathematics problem, you need to set up an inequality. Lynn works at the restaurant earning $7.50 per hour (represented by 'h') and babysits earning $10 per hour (represented by 'b'). Given that she needs to make at least $150 in one week, the expression of her earnings from both jobs must be greater than or equal to 150. Hence the inequality will be 7.5h + 10b ≥ 150.
Explaining the SolutionThe coefficient of 'h' represents the wage rate Lynn earns per hour working as a hostess and 'b' is the number of hours she babysits. The sum of her earnings from both jobs is her total income. This sum must be at least $150, hence the 'greater than or equal to' sign.
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2,000+300+50+0.01+0.003 in standard form
It doesn't seem like you can put this in standard form since you are lacking variables.
Standard form of a polynomial:
x^3 + x^2 + x + n = 0
WORTH 50 POINTS Which graph matches the inequality?
now if I'm correct the answer should be C I hope I was a good help for you
HELP ME PLEASE I AM A CONFUSED AND SAD BEAN THNKS
I think it is 11. Hope this help.
5)
f and g are parallel so
5x + 9x +26 = 180
14x + 26 = 180
14x = 154
x = 11 (second option)
6)
<1 + <2 = 180
answer
j║k by the converse of same side interior angles theorem (add up to 180)
which one is the better deal: 8 ounces of shampoo for $0.89 or 12 ounces for $1.47?
The better deal is 8 ounces of shampoo for $0.89.
Explanation:To determine which deal is better, we need to compare the price per ounce for each shampoo option. For the first option, we have 8 ounces for $0.89, which means each ounce costs $0.11. For the second option, we have 12 ounces for $1.47, which means each ounce costs $0.1225. Therefore, the better deal is 8 ounces of shampoo for $0.89 as it has a lower price per ounce.
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