Factor 2x^2-x-10. Rewrite the trinomial with the x term expanded using 2 factors.Then group the first 2 and last 2 terms together and find the Gcf of each
Trinomial (2x- ___) + (4x-10)
Gcf __ (2x-5) + __ (2x-5)
Answers
Answer:
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
Step-by-step explanation:
2x² – x – 10
The equation above can be factorised as follow:
2x² – x – 10
Multiply the first term (i.e 2x²) and the last term (i.e –10) together.
2x² × (–10) = –20x²
Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).
The factors are 4x and –5x.
Next, replace –x in the equation above with 4x and –5x. This is illustrated below:
2x² – x – 10
2x² – 5x + 4x – 10
Next, factorise
2x² – 5x + 4x – 10
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
Related Questions
If x is teater than 16 and less than 25, then x is.
Answers
Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it O A Length(time) O B. Timelength) O C. Costume D. Timerace
Answers
Answer:
The answer would be B, Time(Length)
Step-by-step explanation:
You simply replace the two values and get (x,y).
What is 8.61•10 to the power of negative 8
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Answer:
0.0000000861
Step-by-step explanation:
Water weighs 8 pounds per gallon. How many ounces per gallons does water weight
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Answer: 128
Step-by-step explanation:
The sum of 36.4 and a number is 39.21, as shown below. What number should go in the box to complete the addition problem?
Answers
Answer:
The answer would be 2.
Step-by-step explanation:
U just subtract 39.21 -36.4= 2.81
You pay $45 per month for cable TV. Your friend buys a satelliteTV receiver for $99 and pays $36 per month for satellite TV. Your friend claims that the expenses for a year of satellite TV are less than the expenses for cable TV in a year. Write and solve an equation to determine when you and your friend will have paid the same amount for TV services. Is your friend correct? Explain
Answers
Answer:
yes
Step-by-step explanation:
Yes, he is correct because he pays $36 a month with the satellite TV receiver he payed $135 that month.\But if we do 36x12=432+99=531and the cable tv cost 45x12=540 so even when we add the satellite TV receiver price on his ours is still more expensive
The required month in which both pay the same amount is 11 months. And our friend is right, satellite tv is less expensive than Cable Tv.
Given that,
You pay $45 per month for cable TV. Your friend buys a satellite tv receiver for $99 and pays $36 per month for satellite TV.
To determine when you and your friend will have paid the same amount for TV services.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let x be the number of months,
According to the question,
For the cost of cable TV = 45x
For satellite TV = 99 + 36x
Now,
99 + 36x = 45x
99 = 45x - 36x
9x = 99
x = 11
Now cost at 12 months,
Cable = 45 * 12 = 540
satellite = 99 + 36 * 12 = 531
So, satellite tv is less expensive than Cable Tv
Thus, the required month in which both pay the same amount is 11 months. And our friend is right.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
A tuxedo shop rents its tuxedos for $30 per day. They charge a nonrefundable fee of $ 60 for each tuxedo.
Use the dropdown boxes to create an equation that could be used to determine the total cost, y of renting a tuxedo for x days.
Answers
Given parameters:
Charge per day of Tuxedo = $30 per day
Non-refundable charge = $60 for each tuxedo
Unknown:
Equation to determine total cost = ?
Solution:
Represent;
Total cost = y
Number of days = x
Now;
Total cost = Non refundable charge + charge per day
y = $60 + $30x
The equation is;
y = 60 + 30x for a tuxedo
Jorge goes to the store and pays $4.80 for 1.5 pounds of fruit. What is the price per pound of the fruit?
Answers
Answer:
$3.20
Step-by-step explanation:
30 POINTS + BRAINLIEST FIRST CORRECT ANSWER
When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6?
The ratios are equivalent to 5:6.
The ratios are equivalent to 6:5.
The ratios are greater than 5:6, as the factors become greater.
The ratios are greater than 6:5, as the factors become greater.
Answers
Answer:
Aren't they equivalent to 5:6?
Step-by-step explanation:
Your situation models to 5x:6x, and no matter what you put as x, it will amount to the ratio of 5:6. It's basically a big fraction, with 5/6 as the simplfication.
Answer:
Step-by-step explanation:
The easiest way to start this is just to multiply the 5 and the 6 by the same thing and see what happens.
Randomly, I will choose 7 because I think today is the 7th.
5*7
====
6*7
35
===
42
I know this is going to seem ridiculous but I'm not going to divide 35/42 by 7.
35 divide by 7 = 5
42 divide by 7 = 6
Just what you started with.
Now a little less obvious, suppose we multiply top and bottom of the ratio by a. a can be anything like (say) the 5th root of 3233
5* a
====
6 * a
Divide the top and bottom by a.
5a divided by a = 5
=======
6a divided by a = 6
So what's the answer? If you've read through this, you'll know that nothing changes.
The answer is the first one.
A square garden has an area of 100ft^2. What is the perimeter of the garden?
Answers
Given:
The area of a square garden = 100 sq. ft
To find:
The perimeter of the garden.
Solution:
Let the side of the square garden be a.
Area of a square = [tex]a^2[/tex]
So, [tex]a^2=100[/tex].
Taking square root on both sides.
[tex]a=\pm \sqrt{100}[/tex]
[tex]a=\pm 10[/tex]
Length of side cannot be negative. So, a=10. It means, side length of the garden is 10 ft.
Perimeter of square = 4a.
Perimeter of square garden is
[tex]4(10)=40[/tex]
Therefore, the perimeter of the square garden is 40 ft.
Find the area of the circle in terms of
44 in.
A, 1936x in
B. 484 in.?
C. 44 min.
D. SSJT in 2
Answers
Step-by-step explanation:
Area = Pi × r²
= Pi × (22)² in
= Pi × 484 in
= 484pi in (1520.530844)
How can I split 166 into two even numbers?
Answers
Answer:
Step-by-step explanation:
You can split it in many ways
for example, it can 164 + 2
160 + 4
100 + 66
and many more.........
hope this helps
plz mark as brainliest!!!!!!!!!!
Answer:
166/10=16.6
166/25=6.64
Step-by-step explanation:
help please!!!!! i don't understand, any help would be great!! thank you!!
Answers
Answer:
c
Step-by-step explanation:
just substitute a big number into x like 10^6 as it approaches
[tex] + \infty [/tex]
and a big negative number like -10^6 as it approaches
[tex] - \infty [/tex]
San is using an industrial kitchen to bake several batches of his famous chocolate chip granola bars. He needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces. Given the equation, |c-78|=2.5, find the minimum and maximum amount of c of chocolate chips that he can weigh out. Explain all steps and solve.
Answers
Step-by-step explanation:
given that San weighs out 78 ounces
given that the margin is 2.5 ounces.
and also given that the formula is
|c-78|=2.5
maximum
the maximum ounces is= 78+2.5
the maximum ounces is= 80.5 ounces
minimum
the maximum ounces is= 78-2.5
the maximum ounces is= 76.5 ounces
Round to the nearest tenth 37,636 ? pls help
Answers
Answer:
37,640
Step-by-step explanation:
MATHSSSS
Answer:
37,640
Step-by-step explanation:
its so simple good luck
Determine the equation of the graph and select the correct answer below.
Answers:
A) y = (x + 2)^2 + 4
B) y = (x − 2)^2 − 4
C) y = −(x − 2)^2 − 4
D) y = −(x + 2)^2 − 4
Answers
Lisa paid $48.25 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest
hundredth?
Rounded to the nearest hundredth, the cost per gallon was
PLS HELP IM DOING A HOMEWORK AND IM STRESSED
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The Student Council at High School A held a Student Body President election. There are 940 students in enrolled and 625 students voted for a Student Body President. Approximately what percentage of the student body voted for Student Body President?
Answers
Answer:
66.49
Step-by-step explanation:
A student earns an 80 on a test but luckily he has earned two types of extra credit. He decides to use both: a 5-point bonus on a test grade, and a test grade increases by 10%. What is his highest possible new score? Show work. Write a function rule to describe this situation for any test score x.
Answers
Answer:
well, 80% increased by 10% is 88%, plus 5 points is 93% so it would be 93%
Step-by-step explanation:
-0.5-(-.8)+0.8+(-.5)
Answers
Answer:
your answer is -1
Step-by-step explanation:
HURRY ILL MARK BRAINLIEST
Answers
Answer: B & D
Step-by-step explanation: Trust me
2.04 • 10 ^23 Which of the following shows and explain the approximate total mass , in grams , of all the atoms of the gas in the container
Answers
Answer:
20,400,000,000,000,000,000,000,000
Step-by-step explanation:
10 to the power of 23 is 1 with 23 zeros.
100,000,000,000,000,000,000,000 ⋅ 2.04 20,400,000,000,000,000,000,000,000
Hope I helped :)
Please consider Brainliest :)
(It took so long to type that)
Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among The Gift Bags. (I) Find The Largest Number Of Gift Bags That Can Be Packed. (Ii) Find The Number Of Each Item In A Gift Bag.
Answers
Answer:
Step-by-step explanation:
I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all
If you did that, then each gift bag would contain 2 pencils with 10 left over.
Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.
64,000 in
a fraction
Answers
Answer:
undefined
Step-by-step explanation:
Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has a flaw is 0.1. If a flaw is present,it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 and by the second inspector with probability 0.8. Assume the inspectors function independently.
(a) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
(b) If an item is passed by the first inspector, what is the probability that it actually has a flaw?
(c) What is the probability that the two inspectors draw different conclusions on the same item?
(d) If an item is passed by both inspectors, what is the probability that it actually has a flaw?
Answers
Answer:
a)0.976
b)0.00926
c)0.2402
d)0.35
Step-by-step explanation:
Let [tex]X_i[/tex] be an item passed by inspector i
Let Y be the event that there is a fault in an item
The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1
If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.[tex]P(\bar{X_1}|Y)=0.92[/tex]
So, [tex]P(X_1|Y)=1-0.92=0.08[/tex]
If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.[tex]P(\bar{X_2}|Y)=0.7[/tex]
So,[tex]P(X_2|Y)=1-0.7=0.3[/tex]
If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. [tex]P(X_1|\bar{Y}) = 0.95[/tex]
So, [tex]P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05[/tex]
If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. [tex]P(X_2|\bar{Y}) = 0.8[/tex]
So, [tex]P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2[/tex]
a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )
P(found by atleast one inspector | It has flaw )=[tex]1-P(X_1|Y) P(X_2|Y)[/tex]
P(found by atleast one inspector | It has flaw )=[tex]1-0.08 \times 0.3[/tex]
P(found by atleast one inspector | It has flaw )=0.976
Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976
b)[tex]P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}[/tex]
[tex]P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926[/tex]
C)P( two inspectors draw different conclusions on the same item)=[tex]P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})[/tex]
P( two inspectors draw different conclusions on the same item)=0.2402
D)
[tex]P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35[/tex]
is -3 a solution to the equation 3x-5=4+2x?explain.
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answers
Answer:
No
Step-by-step explanation:
3x-5=4+2x
x-5=4 (subtract 2x from both sides)
x=9 (add 5 to both sides)
Solve the equation x^2 = 10.
Answers
Answer: [tex]\sqrt{10\\[/tex]
Step-by-step explanation:
To solve for x you would have to take the square root of both side.
Answer:
x = about 3.16Step-by-step explanation:
In algebra, the goal is to isolate the variable, so its value can be determined.
x^2 = 10
square root both sides
x = [tex]\sqrt{10}[/tex] or about 3.16PLEASE HELP I HAVE 5 MINUTES HELP!!!!
Maddie's grades on her last 4 tests were 85%, 74%, 94%, 80%. What does she need to get on her fifth test to have a test average of at least 85%?
INEQUALITY:
SOLUTION:
Answers
425-333= 92
what is the answer to 5 x 3/5
Answers
Answer:
5
Step-by-step explanation:
5×3=15
15÷3=5
Hope this helps :)
Answer: 3
Step-by-step explanation: So first you multiply 5 x 3/5 and then you get ur answer of 3 by 5/1 x 3/5 and then you do 5 x 3 / 1 x 5 = 15/5 and you convert it and you get 3 :)
Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure
5 inches apart. What is the scale factor used for the map?
Answers
Answer:
Step-by-step explanation:
On her map 1 inch is equal to 20 miles.
5x=100
divide both sides by 5
x=20