Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
just did on edge good luck!
The student is wrong in his answer to the equation
3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.
3/a + 2 - 3 - 4 = 1/a - 2.
3/a - 1/a = 3.
2/a = 3.
a/2 = 1/3.
a = 2/3.
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PLEASE HELP W/ MATH QUESTION
( WILL MARK BRAINLIEST )
Answer:
rate of change is 2
Step-by-step explanation:
better thank this
plsss helppp meeeee!!!!!!!
I just need help with this problem. Show work if possible. Thanks!
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 2x^3+20x^2+2ax^2+20ax [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x^2 (x+10)+2ax (x+10)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x^2+2ax[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x (x+a)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x (x+a)(x+10)[/tex]
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6. What is the equation for the function g(x)?(1 point)
Given:
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.
To find:
The equation of the function.
Solution:
The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).
The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).
The equation of function g(x) that passes through (-5,-2) and (6,5.7) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]
[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]
[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]
[tex]y+2=0.7(x+5)[/tex]
[tex]y+2=0.7x+3.5[/tex]
Subtract 2 from both sides.
[tex]y=0.7x+3.5-2[/tex]
[tex]y=0.7x+1.5[/tex]
Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].
can someone pleasehelp answer these in the next 30 minutes. ILL GIVE A BRANIEST TO WHOEVER ANSWERS THE CORRECTLY. tysm if u help :)
Answer:
Step-by-step explanation:
1 in: 30 km
4.3 inches * 30km= 129 km
Since every inch is the same as 30 km.
Second problem
20 test: 163 mins
8.15 mins per test
44*8.15= 358.6 mins round to the nearest whole is 359 mins
i need major help on this question try your best
The Suarez family paid $14.25 for 3 movie tickets. How much would they have paid for 9 tickets?
Answer:
$42.75
Step-by-step explanation:
14.25
x 3
---------
42.75
Answer:$42.75
Step-by-step explanation: You just take the $14.25 and triple it.
PLZ HELP EASYY 10 POINTS *easy*
Answer: what the other guy said 69
Step-by-step explanation:
Answer:
Cant you just look it up?
Step-by-step explanation:
Please Help! I'll Give BRAINLIEST!!!!!!!!! Please Answer FILL IN ALL 15!!!!!!!!!
Find the missing angle measures (in degrees). ). There is 15 total. Lines c and d are parallel and Lines a and b are parallel.
Answer:
150°50°50°30°70°50°60°40°40°50°50°130°140°40°140°Solve the systems of equations by graphing.
Answer:
I'm not that smart :/
Step-by-step explanation:
Five movie tickets cost $42.50. How much do 4 movie tickets cost
Answer:
34.00 $
Step-by-step explanation:
42.50:5= 8.50$ each
8.50*4= 34$
5x -6y = 0 what is the x-intercept
Answer:
0
Step-by-step explanation:
Solve the Equation:
5x- 17 - (8x + 3) = 14
SHOW YOUR WORK
Answer:
5x-17-8x-3=14
-3x=14+17
x=31/-3
x=8.333333
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props, and 55% of the total budget on costumes. What was the total budget for their student film?
Answer:
The total budget for their student film was $540
Step-by-step explanation:
The total percentage of any quantity is 100%
∵ A group of friends was working on a student film
∵ They spent all their budget on props and costumes
∴ The total budget of the props and costumes = 100%
∵ They spent $243 on props
∵ They spent 55% of the total budget on costumes
→ Find the percentage of the props
∴ The percentage of the props = 100% - 55%
∴ The percentage of the props of the total budget = 45%
→ That means 45% of the total budget = 243
∵ 45% × total budget = 243
→ Change the percent to a number by divide it by 100
∵ 45% = 45 ÷ 100 = 0.45
∴ 0.45 × total budget = 243
→ Divide both sides by 0.45
∴ The total budget = 540
∴ The total budget for their student film was $540
Answer:
154
Step-by-step explanation:
Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five
Answer:
a) The difference of a number and six is no less than 15
x - 6 ≥ 15
b) 25 plus a number is at least 13
25 + x ≥ 13
c) g decreased by 25 is at most five
g - 25 ≤ 5
Step-by-step explanation:
a) The difference of a number and six is no less than 15
Let the number be represented by x
We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:
x - 6 ≥ 15
b) 25 plus a number is at least 13
Let the unknown number be represented by x
When at least is used in Mathematics, is means greater than or equal to a particular value,
Hence,
25 + x ≥ 13
c) g decreased by 25 is at most five
At most means less than or equal to a particular value, hence:
g - 25 ≤ 5
Please only answer if your certain it will mean a lot I can give extra points or brain list if you like or a thanks please don’t put anything Radom or a lie thank you
Answer:
Ms. Cortez earns 500 dollars for working 30 hours. It's the last choice.
Step-by-step explanation:
You just have to substitute 30 into the equation in place of x, since x represents hours.
f(30) = 50 + 15(30)
f(30) = 50 + 450
f(30 = 500
question: Which number is divisible by 5 and 10?
answers:
A: 25
B: 995
C: 1,205
D: 9,450
lol please help, my homeschooling program didn't explain this well enough
Answer:
9,450
Step-by-step explanation:
10 cant go into the others because they end with a 5
Graph the Line y=4x−3
PLEASE HELP ME FIGURE THIS OUT
Answer:
1. x = 8
2. w = -13
3. y = 108 (i am not sure for this one).
4. z = -159
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
You paid $52.93 for a shirt at an academy. The total included $4.37 for tax...(the tax rate is 9%) what was the price of the shirt WITHOUT TAX
Answer:
The answer is really simple
Step-by-step explanation:
52.93-4.37 which is 48.56
How do I do functions with graphs?
Answer:
the function would by labeled y
NEED HELP ASAP
Consider the following vectors in polar form.
|u| = 2 at ∠0°
|v| = 4 at ∠45°
What is the magnitude of vector w, if w = u – v?
|w| = 2.77
|w| = 2.95
|w| = 3.58
|w| = 5.60
Answer:
B 2.95
Step-by-step explanation:
The magnitude of w is |w| = 2.95 , Option B is the correct answer.
What is a Vector ?Any object that has both magnitude and direction is called a Vector.
It is given that
|u| = 2 at 0 degree
|v| = 4 at 45 degree
The magnitude of the vector w = | u -v| = ?
The resultant angle will be 45 degree
By applying Cosine law
w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]
w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]
w = 2.947 = 2.95
Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.
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petition to take down brains honor code because no one reads it
Answer:
I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.
Item 4 Question 1 Determine of which lines, if any, are parallel or perpendicular. Explain. Line a passes through (−2, 1) and (0, 3) . Line b passes through (4, 1) and (6, 4) . Line c passes through (1, 3) and (4, 1) .
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.
Slope is denoted by m and is calculated as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.
Let m1 be the slope of line a
and line a passes through (−2, 1) and (0, 3)
[tex]m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1[/tex]
Let m2 be the slope of line b which passes through (4, 1) and (6, 4)
[tex]m_2 = \frac{4-1}{6-4} = \frac{3}{2}[/tex]
Let m3 be the slope of line c which passes through (1, 3) and (4, 1)
[tex]m_3 = \frac{1-3}{4-1} = \frac{-2}{3}[/tex]
When two lines are parallel, their slopes are equal.
When two lines are parallel, the product of their slope is -1
None of the slopes are equal to each other so none of the lines are parallel
And
[tex]m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1[/tex]
Hence,
Line b and line c are perpendicular.
War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how many antelope were there? (Answer is 918 but idk how to solve it.....)
Answer:
9:5 = 1428:x
ratios can also be written as fractions, so
9/5 = 1428/x
solve for x
9/5 × x = 1428
x = 1428 / (9/5)
x = 918
how do raise a power to a power
Answer: The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Step-by-step explanation:
A company's cereal boxes advertise that 9.65 ounces of cereal are contained in each box. In fact, the amount of cereal in a randomly selected box follows a normal distribution with mean LaTeX: \muμ = 9.70 ounces and standard deviation LaTeX: \sigmaσ = 0.03 ounces. A quality control worker selects a random sample of 5 cereal boxes. What is the standard deviation LaTeX: \sigma_{\frac{ }{x}}σ x(in ounces) of this sampling distribution?
Answer:
The standard deviation of the sampling distribution σₓ = 0.013
Step-by-step explanation:
Explanation:-
Mean of the Population μ = 9.70 ounces
Standard deviation of the Population σ = 0.03 ounces
Given size of random sample 'n' =5
The standard deviation of the sampling distribution
σₓ = σ/√n
[tex]S.D = \frac{0.03}{\sqrt{5} } = 0.013[/tex]
Mr. Anders and Ms. Rich each drove home form a business meeting. Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 3600 kilometers apart?
Answer:
180 hours
Step-by-step explanation:
Hope this helps
Allison has two similar square blocks.she finds that one side of the larger square is 3 times the side of the smaller square. What is true about the area of the larger square? Answer plz?
Answer: The area of the larger square is 9 times the area of the smaller square.
Step-by-step explanation:
Pretty please help me:)
Answer:
Step-by-step explanation:
a. Yes is proportional with the cost because they depend on one another
b. (0,0) means if we buy 0 cookies we pay $0
c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50
d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie