Factor of x ^2+7x−18 is (x−2)(x+9)
What is factorization?
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
We are given a polynomial expression in terms of variable x as:
x² - 7x + 18
x ^2+7x−18
=x ^2−2x+9x−18
=x(x−2)+9(x−2)
=(x−2)(x+9)
∴ x ^2+7x−18=(x−2)(x+9)
Hence, Factor of x ^2+7x−18 is (x−2)(x+9)
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Andrea collected this data: 5, 8, 9, 12 What is one value that she could add to the data so that the median would be 11?
Answer:
19
Step-by-step explanation:
Median= Middle number
12-5= 7
12+7=19
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
Brady used 2/3 gallon of yellow paint and 1/6 gallon of white paint to paint his dresser. How many gallons of paint did Brady use?
A
3/7 gallon
B
3/4 gallon
C
5/6 gallon
D
11/12 gallon
What is the value of the expression 8x + 9 when x=7?
someone please help me on this
There are many ways to prove this, this is just how I do it. Hope it helps.
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of ¼ unit. How many ¼ unit cubes does it take to fill the prism?
Answer:
Step-by-step explanation:
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
What is the approximate height of the building? Round to the nearest tenth of a foot. feet
Answer:
22.5 feet
Step-by-step explanation:
The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
Calculation of the height:Since
A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.
We know that
sin θ = Perpendicular/Hypotenuse.
So
here we assume p be the Perpendicular
So,
sin60 = p/26.
p = 26*sin60.
p = 22.5
hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
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Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution ( , ) to the given set of equations?
Answer:
compare both the equation we get,
X-6 = -9x+14
or, 10X =20
or, X= 2
Y=X-6
or, Y= 2-6
or, Y= -4
hence the solution is (2,-4)
n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46
Answer: D) 46
===========================================================
Explanation:
We have these 8 given facts
N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.
Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.
Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.
Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.
If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.
---------------------------
So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17
In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.
From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.
The last value to fill in is the 36 from fact 8. This goes outside all of the circles.
The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.
---------------------------
Using that diagram of filled in values, add up every number written down:
17+9+39+12+10+36 = 123
We have 123 items so far in the universal set
We're told that n(U) = 147, meaning there are 147 items total in the universal set.
This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.
That 24 adds to the other numbers inside circle C to get to the final answer
12+10+24 = 46
Choice D is the answer.
Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.
Use the ratio table to solve the percent problem.
Part Whole
? | 75
40 | 100
What is 40% of 75?
Enter your answer in the box.
Answer:
9
Step-by-step explanation:
i dont know
if it right or wrong
Answer:
30
Step-by-step explanation:
I did the test i hope it helps brainlist plz :>
-lexi
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
Fresh Mart buys a bushel of apples for $3.50 and sells it for $12.50. What is the
percent of increase in price? Round to the nearest whole number. What is the
dollar amount of Fresh Mart's profit?
Answer:
12%
Step-by-step explanation:
Answer:
Step-by-step explanation:
x% of 3.50 = 12.50
x% = 12.50/3.50 ≅ 3.57 = 357%
price increased by 357%
profit = 12.50 - 3.50 = $9
which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3
Answer:
Option (4) is correct.
Step-by-step explanation:
We need to show that [tex]5^{3/2}[/tex] is equivalent to radical [tex]\sqrt{5^3}[/tex].
We can do it as follows :
[tex]\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}[/tex]
Hence, the correct option is (4).
Answer:
last two options
Step-by-step explanation:
pls plz plz i need the answers help me
Answer:
24 units squared
Step-by-step explanation:
Answer:
24 square units
Step-by-step explanation:
Hope that helps and good luck on your Quizizz!
Does anyone kno dis answer for me
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
how do u answer 1/2x + 3/8 = 1/6
Answer:
-5/12
Step-by-step explanation:
you need to simplify both sides of the equasion, then isolate the variable
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:
A)
–1∕24
B)
3∕8
C)
–2∕3
D)
6
Answer:
C) -2/3
Step-by-step explanation:
1/4p = 4/6 - 5/6
1/4p = -1/6
6p = -4
p = -4/6 or -2/3
Find the volume of a cuboid of dimensions 4 cm x 2 cm x 3 cm
Answer:
24 cm^3
Step-by-step explanation:
4x2x3=24
K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)
prove whether the quadrilateral is a parallelogram
Answer:
Yes, it's a parallelogram
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
I just bought a punching bag and it came with these two thing. Anyone know what that is and how to use it?
Answer:
the ball is to help with reflexes you have to dodge the ball so you dont get hit
i think
which is a prime number? a 16 b 17 c 18 d 20
Answer:
17
Step-by-step explanation:
bc nothing can go into it besides 1 and itself.
Which set of numbers below DO NOT make a triangle?
0 7,7,7
O 6,3,3
0 3,4,5
O 5, 11,7
Answer:
3,4,5
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much is the cash price of the car?
Answer:
Step-by-step explanation:
this year cornells class took one more than 3 times as many field trips as last years class this year cornells class took a total of 7 trips how many trips did his class take last year
Answer:
ten may be if it is incorrect forgive me
which orded pair is a solution of the equation 2x+4y=6x-y
Simplify the expression 2(10) + 2(x-4)
Answer:
Hello! :) have a good day!
2x + 12
Answer:
First: Multiply the numbers
2 x 10 + 2 (x -4)
20+2(x-4)
Secondly: Distribute
20+2(x-4)=
20 + 2x - 8
Thirdly: Subtract the numbers
20 + 2x - 8=
12 + 2x
Lastly: Rearrange terms
12 + 2x
2x + 12
And that would leave us with our answer 2x + 12!
What is 1/7 of 28% of 8,000
Answer:
320
Step-by-step explanation:
A=1/7 * .28 *8000 = 320
Answer: 320
Step-by-step explanation: 1/7*28 of 8000