Please help!! The question is the image below VVV
Answers are also images after the picture.
Answers
Step-by-step explanation:
When adding two fractions with different bases (bottom numbers), we can use this function:
[tex]\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}[/tex]
So, to apply this to the given question:
[tex]\frac{x+3}{x-6} +\frac{1}{x-2}[/tex]
= [tex]\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}[/tex]
From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.
Multiply top using: (a + b)(c + d) = ac + ad + bc + bd= [tex]\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}[/tex]
Simplify.= [tex]\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}[/tex]
Remove parentheses.= [tex]\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}[/tex]
Simplify again.= [tex]\frac{x^2 +2x-12}{(x-6)(x-2)}[/tex]
Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.
Factor.= [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]
Answer:
A) [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]
Related Questions
!!PLEASE ANSWER ASAP!!
Simplify 1 - x - X/1
A) X
B) 1
C) 0
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Express the decimal 0.7 as a percentage.
Answers
Answer:
70% IS THE ANSWER
Step-by-step explanation:
Hope I helped.
Answer:
70%
Step-by-step explanation
0.7×100=70
Which of the following equations is modeled by the graph?
A)
a = 50t
B)
a = 5t
C)
a = 50 + t
D)
a = 10t
Answers
Hope this helps :)))
what is the base? Look at picture.
Answers
Answer:
14
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
140 = b*10
Divide each side by 10
140/10 = 10b/10
14 = b
In June 2005, a CBS News/NY Times poll asked a random sample of 1,111 U.S. adults the following question: "What do you think is the most important problem facing this country today?" Roughly 19% of those sampled answered "the war in Iraq" (while the rest answered economy/jobs, terrorism, healthcare, etc.).
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country. We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
What are the appropriate hypotheses in this case?
Answers
Answer:
The appropriate null hypothesis is [tex]H_0: p = 0.25[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.25[/tex]
Step-by-step explanation:
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.
At the null hypothesis, we test if the proportion is still the same, that is, of [tex]\frac{1}{4} = 0.25[/tex]. So
[tex]H_0: p = 0.25[/tex]
We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:
[tex]H_1: p < 0.25[/tex]
In the figure above, AABC is an equilateral
triangle and each circle is tangent to the other
two circles. If each circle has diameter 10, what
is the distance h?
(A) 103
(B) 1513
(C) 15+513
(D) 10+1013
(E) 10+5/5
Answers
Answer:
B
Step-by-step explanation:
What does -3/8 > -1 indicate about the positions of -3/8 and -1 on the number line?!
Answers
Answer:
-3/8 is located on the right of -1
Step-by-step explanation:
-3/8 is left of -1 because -3/8 is larger than -1.
Reggie and Jay go for a walk every morning. Reggie walks 2 14 miles. Jay walks 138 miles less than Reggie. What is the total distance they walk every morning?
Answers
Answer:
They walked a total distance of 290 miles every morning.
Step-by-step explanation:
First, we have to subtract 214 and 138.
= Jay walks 76 miles.
Next, we have add 214 and 76.
= 290 mi.
From quadrilateral ABCD is a quadrilateral with area of 48 square units, find the length of AC.
A. 48/5
B. 24
C. 24/5
D. 48
Answers
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
Which ordered pair is a solution to the system of inequalities?
y > –x
y ≤ x + 1
A) (0,5)
B) (4,–1)
C) (1,3)
D) (–4,0)
Answers
9514 1404 393
Answer:
B) (4,–1)
Step-by-step explanation:
A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.
==========================================================
Explanation:
Choice A can be ruled out because
[tex]y \le x+1\\\\5 \le 0+1\\\\5 \le 1\\\\[/tex]
which is false.
Choices C and D are similar, so they can be ruled out as well.
---------------------
Choice B is the answer because it makes both inequalities true.
If we plug the coordinates of (4,-1) into the first inequality, we get
[tex]y > -x\\\\-1 > -4[/tex]
which is a true statement because -1 is to the right of -4 on the number line.
Now try the other inequality
[tex]y \le x+1\\\\-1 \le 4+1\\\\-1 \le 5\\\\[/tex]
that's true also. So again, (4,-1) makes both inequalities true, and that's why choice B is the answer.
True or false?
A function assigns each value of the independent variable to exactly one
value of the dependent variable.
A. True
B. False
SUB
Answers
Answer:
This statement would be true.
Step-by-step explanation:
"The fitted regression line will always run through the mean of the observed data. In other words, the point (x with bar on top, y with bar on top) will always lie on the estimated (fitted) regression line. Is it true or false?"
Answers
3. In A PQR, MZP=(4x-5),
m2Q=(8x-50), and MZR=(3x+10).
Which of the following best describes
APQR?
® Right triangle
® Isosceles triangle
© Equlateral triangle
Scalene triangle
Answers
Answer:
B
Step-by-step explanation:
The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle
Answer:
b
Step-by-step explanation:
its b
A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates is a unit rate equivalent to the ratios shown above?
A. 2 teaspoons of salt per 1 cup of flour
B. 1/2 teaspoon of salt per 1 teaspoon of baking soda
C .2 teaspoons of salt per 1 teaspoon of baking soda
D. 1 teaspoon of baking soda per 2 teaspoons of salt
Answers
Answer:
all of the above
Step-by-step explanation:
the ratio between the flour, the baking soda, and the salt would = 1:1:2 (disregarding tsp or cup measurements, since all the units stay the same in the choices)
so really, all the answers are correct
hope this helps!
Answer:
B. 1/2 teaspoon of salt per 1 teaspoon of baking soda.
Step-by-step explanation:
The ratio of cups of flour to tsp. of baking soda to tsp. of salt shown above is:
1/2 : 1/2 : 1/4
An equivalent rate to the ratio of tsp. of salt to tsp. of baking soda is 1/2 : 1 because:
Ratio of tsp. of salt to tsp. of baking soda is:
1/4 : 1/2
If we were to find an equivalent rate to this, it would be 1/2 teaspoon of salt per 1 teaspoon of baking soda for:
Multiply 2 to both terms in the ratio 1/4 : 1/2:
1/4 x 2 = 1/2 (simplified)
1/2 x 2 = 1 (simplified)
The new ratio is 1/2 : 1, which also represents the rate 1/2 teaspoon of salt per 1 teaspoon of baking soda.
Hope this helps!
Please comment back if this was correct.
Jared works at a clothing store and is listening to a customer complain about a shirt he purchased that's damaged. Which behavior can Jared exhibit to show good communication skills with the customer? O a) Stopping the customer to quickly explain the store's return policy b) Repeating back what he has heard once the customer is done speaking Od Asking the customer how the shirt was damaged O d) Promising the customer a full refund even though it's against policy
Answers
Answer:
C
Step-by-step explanation:
in my point of view, my choice is C (asking the customer how the shirt was damaged) because when he finds out the reason why the shirt was damaged, he will explain whether or not that fault is in the store's return policy
another reason:
A) stopping the customers when they are talking, it's impolite behavior and i ensure that that customer will feel disatified.
B) i guess that customer doesnt waste of time because it
D) a full refund without finding the reason, i dont think it's a good idea
In a survey of 938 U.S. adults, 235 say the phrase "you know" is the most annoying conversational phrase. Let p be the proportion of the population who respond yes. Use the given information to Construct a 90% confidence interval for p.
Answers
Answer:
CI 90% = ( 0.227 ; 0.273)
Step-by-step explanation:
Information from the survey:
sample size n = 938
number of people with yes answer x = 235
proportion of people p = 235/938
p = 0.25 then q = 1 - 0.25 q = 0.75
Confidence Interval 90 % .
CI 90% = ( p ± SE )
CI 90% = ( p ± z(c)*√(p*q)/n)
CI 90 % then significance level is α = 10 % α/2 = 5%
α/2 = 0.05 we find in z-table z (c) = 1.64
√(p*q)/n = √0.25*0.75/938
√(p*q)/n = √0.000199
√(p*q)/n = 0.014
CI 90% = ( p ± z(c)*√(p*q)/n)
CI 90% = ( 0.25 ± 1.64*0.014)
CI 90% = ( 0.25 ± 0.023 )
CI 90% = ( 0.227 ; 0.273)
which graph correctly represents this 2y+x=-5and y+3x=0
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Answer:
you didn't feature any graphs for me to choose from
A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students
receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8
minutes, their scores will be 4. Complete the statements about the students' scores.
Anja ran the mile in Her score is -2.
Issac ran the mile in 13 minutes. His score is
Simon ran the mile in 12 minutes. His score is
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Answer:
Isaac is 26
Simon is 24
if 8 is 4 I.e 8 divide by 4 is 2
therefore 1 minute is 2 scores
Isaac :13 x 2=26
(do the same to Simon to get his score)
Help please!!!
I need this assignment done today
Answers
Answer:
x- 1
y-5
z-3
Step-by-step explanation:
all u have to do is calculate the distance, so for example y is 5 because - -4 -3 -2 -1 0 1 and that is a 5 number distance
Y-5
Z-3
Those should be the answers
You can afford to invest $150 per month in an annuity that earns 4% per year, compounded monthly. How long will it take before your investment is worth $6000?
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Answer:
how long will it take before your investment is wort$6000?
a, b ∈q , then (a+ b)∈ …………… । *
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Answer:
this is an equation of closure property of rational numbers under addition
Step-by-step explanation:
this is the meaning of it
for every a and b belongs to q then a+b belongs to q
Word problem help please
Answers
Answer:
C(M) = 0.65*M + 22.55
Step-by-step explanation:
We know that the cost to rent and drive for M miles is given by:
S(M) = 0.40*M + 17.75
And the insurance, also a function of M, is given by:
I(M) = 0.25*M + 4.80
We want to find the equation of the total cost for a rental that includes insurance.
This would be just the sum of the two above functions:
C(M) = S(M) + I(M)
C(M) = (0.40*M + 17.75) + (0.25*M + 4.80)
Now we just need to simplify this:
Taking M as a common factor, we get:
C(M) = (0.40 + 0.25)*M + 17.75 + 4.80
C(M) = 0.65*M + 22.55
Then the total cost equation, as a function of M, is given by:
C(M) = 0.65*M + 22.55
A computer is selling for $883 the finance value is $1077.26 under an 11% simple interest loan what is the length of the loan
Answers
Answer:
The length of the loan was 2 years.
Step-by-step explanation:
Given that a computer is selling for $ 883, and the finance value is $ 1077.26 under an 11% simple interest loan, to determine what is the length of the loan, the following calculation must be performed:
883 x 0.11 = 97.13
(1077.26 - 883) / 97.13 = X
194.26 / 97.13 = X
2 = X
Therefore, the length of the loan was 2 years.
Plz help on this question
Answers
Answer:
B
Step-by-step explanation:
Because it'll be 1²+2×1-3=0
And -3²+2(-3)-3=9-6-3=0
So it's impossible
how many number of three different digit less than 500 can be formed from the integer 123456
Answers
Answer:
80 numbers
Step-by-step explanation:
(6 - 2(because when the hundreds is 5 or 6, it will higher than 500)) x 5 x 4 = 80
Ronald types 360 words in 9 minutes.
If he types at a constant rate, how many words does Ronald type in 1 minute?
Answers
360/9=40
Answer:
40 per minute.
Step-by-step explanation:
360/9=40
Based on corresponding angles and vertical angles, which angles must always be congruent to the angles given? Complete the table.
Answers
Answer:
A and B must always be congruent
B and D
E and G
F and H
Step-by-step explanation:
I have to be honest. from the picture I cannot see the vertical angles. All I see is a straight blue line and red letters. But based on the vertical theorem
A and B must always be congruent
B and D
E and G
F and H
also if you want to make sure it's right try to include another picture.
Answer:
Step-by-step explanation:
edmentum :)
Design specifications require that a key dimension on a product measure 100 /- 10 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability
Answers
Answer:
0.8333
Step-by-step explanation:
Given :
Mean, X = 100
Lower Specification Limit, LSL = 100 - 10 = 90
Upper Specification Limit, USL = 100 + 10 = 110
Standard Deviation, σ = 4
The process capability index, Cpk;
Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]
Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]
Cpk = Min [0.8333 ; 0.8333]
Hence, Cpk = 0.8333
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square
Answers
Answer:
Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals. Step-by-step explanation: In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answers
Answer:
1.5
Step-by-step explanation:
Constant of proportionality refers to the slope of the line in this case, the slope of the line is (y2-y1)/(x2-x1)=(6-0)/(4-0)=1.5
