The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7
4x(3x - 1) - 2(3x + 1) - (x + 3)
Answer:
[tex]12x^{2} -11x-5[/tex]
Step-by-step explanation:
1) Distribute
[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]
2) Distribute
[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]
3) Distribute
[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]
4) Subtract the numbers
[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]
5) Combine like terms
[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]
What is 4t - t + 2=This is in combinding terms into equvilent equations
Answer:
=3t+2
Step-by-step explanation:
if you ONLY solve the equations the answer is (3t+2) but if you evaluate the equation and the answer together it's (9t+8). So which ever answer you were looking for there's two different choices for two different ways.
(you're welcome, and hope this helps) :)
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
In each case use the new theorems to arrange the letters measures from greatest to least
Answer:
answer is a,b,c
Step-by-step explanation:
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5
Which number line represents all of the values of x for the equation x2 = 36?
Answer:
D
Step-by-step explanation:
HOW TO FIND A FRACTION OF THE ENGLISH ALPHABET IS A SET OF CONSENENTS
Answer:
21/26
Step-by-step explanation:
In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.
so the fraction would be 21/26
q
1
y=qx
P
Write x in terms of p, q and y.
Answer:
x = [tex]\frac{y}{pq}[/tex]
Step-by-step explanation:
y = pqx ( isolate x by dividing both sides by pq )
[tex]\frac{y}{pq}[/tex] = x
The circle graph represents the after-tax budget for the Williams family. If the total monthly budget is $3050, which is the best estimate for the food budget?
The best estimate for the food budget will be the percentage of the food budget multiplied by $3050.
This is an incomplete question, therefore, an overview of the question will be given. Since you didn't provide the percentage of the food budget, let's assume that the percentage is given as 20%. Therefore, the food budget will be;
= 20% × $3050
= 0.2 × $3050
= $610
The food budget will be $610.
Read related link on:
https://brainly.com/question/25311515
The diagram below a triangle PQR on a Cartesian plane. Given the distance a Q from origin is 6 units
If the gradient of straight line PQ is 4/3 calculate y-intercept
⸻➤[tex]{\pink{\tt{Mixedfarming}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\sf\red{hope\:it\:helps\:you}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]
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HELPPPP PLEASEEEE will give brainliest
Answer:
I think it's the 3rd or fourth one. I'm not positive tho
the difference between 4x and 2x is 70. Find the 2x
Answer:
2x = 70
Step-by-step explanation:
4x - 2x = 70
2x = 70
x = 70/2
x = 35
4/100 fraction as percent
Answer:
4%
Step-by-step explanation:
have a lovely day <3
Answer:
4% is 4/100 as a percent
just take the fraction and turn it into a fraction out of 100 which this already is and then the percent is the numerator
Please help me oh me a lot to me and you get a lot of points I think
Answer:
A. 0.2, 0.25, 0.2
B. the scores are a quarter of the whole
Answer:
so the three numbers can be turned into fractions.
1/5, 1/4, and 4/20.
fractions can be turned into decimals by dividing the denominator into the numerator.
now we have 0.2 , 0.25 , and 0.2
greatest to least, the numbers are 0.25 , 0.2 , and 0.2
(both 0.2s are equal, so order of those doesn't matter)
Step-by-step explanation:
⅕ of shots
Dwayne 25%
4 out 20
Write each score as decimal
Compare the three score.
What is the slope of the line on the graph?
Enter your answer in the box.
Answer: The slope of the line is 6.
You can use the distance formula to find the slope (Y2-Y1/X2-X1). You can plug in any two points seen on the graph into the formula. I will use (0,-1) and (1,5). When I plug in the values, 5-(-1)/1-0=6/1=6. So the slope of the line is 6.
:)
hi can anybody help thx!
What is the volume of air in a lab of dimensions 8 mx 5 m x 3 m?
What is the mass of the air? (Density of air = 1.3 kg/m3)
Answer:
Volume of air = 120 m³
Mass of air = 156 kg
Step-by-step explanation:
Volume of air in a lab of dimensions,
= 8 x 5 x 3
= 120 m³
Mass of the air ?
Given : Density of air = 1.3 kg/m³
Formula : -
Density = Mass / Volume
Mass = Density x Volume
= 1.3 x 120
Mass = 156 kg
How does value of a affect the
parabola?
The parabola appears wider when |a| >1, the parabola appears thinner
When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards
Step-by-step explanation:
brainliest?
How do you solve y=3x²-6x-1 using completing the square?
All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams
Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain
Answer:
YES
Step-by-step explanation:
For a triangle of sides a, b, c, we must have the following to be true to have a triangle.
a + b > c > |a - b|
b + c > a > |b - c|
a + c > b > |a - c|
if a=8, b=7, and c=9, we have that:
8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.
7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.
8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.
Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.
can someone tell me the main idea for both of the story's yeh-shen and cinderella
Answer:
yeh-shen:
The theme in the story is that good things happen to good people and bad things befall on evil people.
cinderella:
Cinderella teaches the morals of kindness towards all, forgiving others for doing wrong, and never letting bad things ruin your heart. The themes of the story are good versus evil and luck changing your life.
Step-by-step explanation:
What is the value of r?
Answer:
its 40
Step-by-step explanation:
180-100=80
80/2= 40
PLEASE HELP NOW
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+6=5(x-3)
2
Answer:
answer is 21= 5x- y
Step-by-step explanation:
y+6=5(x-3)
y+6=5x-15
y = 5x-15-6
y = 5x-21
rearrange this equation as formAx+By=C
5X - y = 21
Kira is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $35 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $42 and an additional 50 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.
Answer:
m < 0.7
Miles less than 0.7
Step-by-step explanation:
Company A: 60m + 35
Company B: 50m + 42
60m + 35 < 50m + 42
60m - 50m < 42 - 35
10m < 7
m < 7/10 (0.7)
Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?
Answer:
The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.
Explanation:
1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
Help me please Asap
Answer:
it is the last one {-4, -1, 0, 1, 2}
Step-by-step explanation:
Deshaun is estimating the weight of his mountain bike. The actual weight of his mountain bike is 11.3 kg. Deshaun's estimate is 12 kg.
Find the absolute error and the percent error of Deshaun's estimate. If necessary, round your answers to the nearest tenth.
Answer: Actual weight of his mountain bike is
16.4kg
. Deshaun's estimate is
15kg
...
Step-by-step explanation:
what are the equations to the graph
Can someone help me no bots or ill report ill also give brainly when their is 2 answer
The equations are y=3x-1 and y=-3x+5
I’ll try to solve it in the comments if you still have time
You spent a total of $63. How much will pay in 6% tax?
Answer:
You will pay $3.78 in tax. And you would pay a total of $66.78
Step-by-step explanation:
Answer: $3.78 or $66.78 if you are looking for the total amount including tax.
Step-by-step explanation:
6% can be represented by 0.06 so multiply that by 63
63*0.06=3.78
You will pay $3.78 in taxes
The total is 66.78 but I think you are asking for the tax.
1. e(x) = 3 x -3, Find e(-6)
Answer:
e(-6) = -21
Step-by-step explanation:
Plug -6 into the equation and simplify.
3(-6) - 3
-18 - 3
-21