Answer:
3x^4 + 7x^2y^2 + 2y^4
Step-by-step explanation:
(3x^2 + y^2) (x^2 + 2y^2)
3x^4 + 6x^2y^2 + x^2y^2 + 2y^4
3x^4 + 7x^2y^2 + 2y^4
-TheUnknownScientist
A university wants to build a new residence hall with dorm rooms. The length is 3x+1 ft and the width is x^2-1 ft. If the university wants each room to have 195ft^2 of living space, what should be the dimensions of each dorm room? ["living space confuses me because idk if it's volume or bottom surface area]
Length of room, l = 3x + 1 ft.
Breadth of room, b = x² -1 ft.
Now, it is given that university wants each room to have 195 ft² of living space.
So,
[tex]lb = A\\\\(x^2-1)(3x+1)=195\\\\3x^3+x^2-6x-1=195\\\\3x^3+x^2-6x-196=0[/tex]
So, above equation has two complex root and one real root i.e x = 4.08 ft .
Therefore, Length of room is 13.24 ft and breadth is 15.65 ft.
Hence, this is the required solution.
−7x−5=4x-29 What is the answer?
my mom is in charge of providing snacks for her soccer team. She has cut up pieces
of apple and orange totalling 48 pieces of fruit. She brought twice as many
pieces of orange as she did apple. How many pieces of orange did she bring to
the soccer players? *
12
16
32
O 24
Answer:
32 oranges and 16 apples
NEED HELP FAST PLEASE! Match each whole number with a rational, exponential expression.
Answer:
Step-by-step explanation:
1). [tex]((3^2)^{3} )^{\frac{1}{3} }[/tex] = 3² = 9
2). [tex](x^{3} )^{\frac{2}{3} }[/tex] = 4² = 16
3). [tex]((15^{3} )^{\frac{1}{3} } )^{2}[/tex] = 15² = 225
4). [tex]((21^{3} )^{\frac{1}{3} } )^{2}[/tex] = 14² = 196 (Sorry I made a mistake, the base should be 14)
5). [tex](5^{3} )^{\frac{2}{3} }[/tex] = 25
6). ( [tex](16^{3} )^{\frac{1}{3} }[/tex] )² = 256
What is NOT equivalent to 20%?
A 0.2
B 1:5
C 10/50
D 4/16
Answer:
4/16
Step-by-step explanation:
mark me brainleist please
Bok Sanctuary in Lake Wales, FL, has a carillon tower that is 205 feet tall. Heather made a scale drawing of the tower using the scale 1 inch : 20 feet. In which proportion does h represent the height, in inches, of Heather's scale drawing?
Answer:
10.25 inches
Step-by-step explanation:
Given that:
Actual height of tower = 205 feets
Ratio of scale drawing = 1 inch : 20 feets
The proportion of the height of the scale drawing will be :
Actual height / 20 feets
205 feets / 20 feets
= 10.25 inches
h in inches of the scale drawing will be 10.25 inches
Matthew likes to buy movies from a DVD club. He pays $5 per month
plus $2 per movie. If he buys six movies in June, how much did he pay for the month of June?
Answer:
$17
Step-by-step explanation:
$5
6x$2=$12
$12+$5=$17
please help im super behind :((
Answer: c = 3/10
Step-by-step explanation:
Answer:
c = 3/10
Step-by-step explanation:
Is 700% of 5 less than 10 greater than 10 but less than 100 or greater than 100?
write and evaluate an expression for the problem music lessons cost $20 per week. How much do 6 weeks of lessons cost?
What is the slope of the line through (3, 2) and (-3,4)?
Answer:
Choice A. -3
Step-by-step explanation:
Using the x1-x2/ y1-y2 u fill in. So it would be 3-(-3) (x-axis) and 2-4 (y-axis).
So when u do both of those you are left with 6/-2.
When u simplify 6/-2 you get -3.
Answer:
slope is -1/3
Step-by-step explanation:
slope is read rise over run so the line, in this case, fell down 1 and ran 3. Falling means negative so the slope is negative 1 over 3. To easily determine a negative slope, see if the line is moving from top left to bottom right. If so, then it's negative. The other way around is a positive slope.
(i don't do formulas well so I use the graph)
The graph represents a system of linear equations. Which statements are true?
A) The solution is (6, 4).
B) The system has one solution.
C) The point of intersection is the solution.
D) A reasonable solution is (7.1, 0.9).
E) A reasonable solution is (6.4, 0.4).
Answer:
A
Step-by-step explanation:
Trust me I kinda can't explained it so you got to trust me
The correct answer would be options (B), (C), and (E) which the statements are "true".
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The graph given in the question, as shown represents a system of linear equations.
According to the given graph, the statements are "true" as follows:
The system has one solution.
The point of intersection is the solution.
A reasonable solution is (6.4, 0.4).
Hence, the correct answer would be options (B), (C), and (E).
Learn more about the Linear equations here:
https://brainly.com/question/13738061
#SPJ5
Which statement represents the given algebraic expression?
\large -3n-17
a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d
Negative three of a number decreased by seventeen
Answer:
D would be your answer
Step-by-step explanation:
The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis
Answer:
P'(3,-7) Q'(7,6) R'(-8,-7).
Step-by-step explanation:
Reflection across the x-axis
Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.
We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:
P'(3,-7) Q'(7,6) R'(-8,-7).
The new triangle has vertices P'Q'R'.
can someone help me answer this? urgent‼️
I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it makes me unsure if I'm doing this correctly.
Answer:
r=6
Step-by-step explanation:
The area of a circle is given by πr². Note that this uses the radius, not the diameter.
Now, one quarter of this area (ABC) is given to be 9π.
So apparently:
[tex]\frac14 \pi r^2 = 9\pi[/tex]
If you solve this:
[tex]\frac14 r^2 = 9[/tex] (divide both sides by π)
[tex]r^2 = 9\cdot4[/tex] (multiply both sides by 4)
so
r = √36 = 6
so the radius is 6.
Find the value of 3x 5(2)
Answer:
is it 30?
Step-by-step explanation:
Help ASAP if you want brainliest, five stars, thanks, and friends list.
The two pics are the same question.
Answer:
Bro all of them are correct
Step-by-step explanation:
H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes the height of the plant after x weeks. Which is the reasonable domain for this function?
Answer:
For 6 weeks, the height will be 15 inchesStep-by-step explanation:
Step one:
given data
the initial height of plant= 3inches
growth in inches per week =2inches per wee
Step two:
for x number of weeks, the height is expressed as
[tex]h(x) = 2x + 3[/tex]
With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be
substitute x=6 in the growth function
[tex]h(x) = 2(6)+ 3\\\\h(x) = 12 + 3\\\\h(x) = 15 inches[/tex]
Part A Consider the Similar triangles below :
B 4 6, A, 7, C
Q, 12 , P , R
Find the scale factor :
Part B :
Find the length of side PR
Answer:
scale factor = 2
length of PR = 14
Step-by-step explanation:
i hope this helps
The mass of a rock sample is 25 g and
its density is 5 g/cm². What is the
volume of the rock sample?
Answer:
given us,
mass= 25g
density= 5 g/ cm2
here,
volume = mass/ density
= 25g/ 5g cm2
= 5cm2
Step-by-step explanation:
cm2 is the square
Answer:
5
Step-by-step explanation:
25 / 5 = 5 mass / density = volume
ASAP 30 POINTS PLEASE HELP
Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $17 to produce 2 widgets, $69 to produce 4 widgets, and $417 to produce 10 widgets. Here is the cost function used to represent this situation in terms of the number of widgets produced: c(x) = 4x2 + 2x - 3
Find the total cost of producing 6 widgets.
Answer:
the total cost of producing 6 widgets is $231
DESCRIBE IN WORDS THE TRANSLATION OF x represented by the translation rule <-6,8> (X) A. 6 units to the right and 8 units down B. 6 units to the left and 8 units up C. 8 units to the left and 6 units down D. 6 units to the right and 8 units up
Given:
Translation of x represented by the translation rule <-6,8>.
To find:
The correct statement for the given rule of translation.
Solution:
Rule of translation is <-6,8>.
Here, x-coordinate represents horizontal shift and y-coordinate represents vertical shift.
x-coordinate is -6, which is negative. So, the figure translated 6 units left.
y-coordinate is 8, which is positive. So, the figure translated 8 units up.
Thus, translation in words is defined as "6 units to the left and 8 units up".
Therefore, the correct option is B.
Jerome's brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.Is Jerome's brother correct?explain why or why not.Use examples from the table to support your answer.
Answer:
Ur table is wrong
Step-by-step explanation:
Jerome is also incorrect
Answer:
top 123456
bottom 7 8 9 10 11 12 13
Step-by-step explanation:
3(10)+5x=26
Answer this please!!
Answer:
=
4
-
5
Step-by-step explanation:
At Guevarra Clan Reunion, 4 1/2 kg of spaghetti was left.Lf there are 6 families,how much each family can take home equally.How much each family can take home equally?
Answer:
3/4 kg of sphagetti each
Step-by-step explanation:
The amount each family can take home, if the kg of sphagetti is divided equally is calculated as:
Kg of sphagetti left/Number of families
= 4 1/2kg/6
= 9/2 ÷ 6
= 9/2 × 1/6
= 9/12
= 3/4 kg
Hence, each family can take home 3/4 kg of sphagetti each.
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:5 weeks
Step-by-step explanation: Multiply the amount of hours and money she gets from baby sitting and chores and add the answers together. This equals 60 dollars a week. 300 divided by 60 is 5.
If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
Answer:
Option (2)
Step-by-step explanation:
If a function g(x) is shifted 'a' units downwards then the equation of the transformed function will be,
g(x) = f(x) - a
Similarly, when the parent function is shifted 'a' units upwards, equation of the transformed function will be,
g(x) = f(x) + a
If the parent function is f(x) = x
And the graph of this function is shifted 7 units downwards,
Transformed function will be,
f'(x) = x - 7
Option (2) will be the correct option.
what is 123+6 answer
Answer:
129
Step-by-step explanation:
123+6= 129
Answer:
Ciento veintinueve
Suppose your family is taking a road trip of 120 miles to visit a family member how long would it take to make the trip if you go 40 miles per hour ?
Answer: 3 hours
Step-by-step explanation: 120 miles divided by 40 miles per hour is 3, 3 = how many hours it'll take to get to the destination