Factoring with Diagrams
A(x) = x3 – 7x² – 16x +112, You know that
(x-7) is a factor.
x-
х
+3
-7
-72
Check your work
Write A(x) as the product of linear factors.
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
Which of the following shows the factors of the polynomial f (x) = x^3 -11x + 6 , if one of those factors is x - 3
a. x - 3 is not a factor and there are no correct answers
b. f(x) = (x -3) ( x^2 - 8x - 18)
c. f(x) = (x -3) ( x^2 + 3x - 2)
d. f(x) = (x -3) ( x^2 - 3x^2 - 2x+12)
Answer: f(x)=(x-3)(x^2+3x-2)
Step-by-step explanation:
Is question 6 and question 7 is it correct
Answer:
6) a
7) c
Step-by-step explanation:
question 6 is incorrect because you have to find the distance between the two points. for question 6, you are finding the distance between -2 and 1. that is three!
− 4/1 a−4= 4/7 a−3
The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125
The given equation is:
[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]
Cross multiply:
[tex]-4(7)(a-3) = 4(a-4)[/tex]
Divide both sides by 4
[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]
Expand the bracket using the distributive rule
-7a + 21 = a - 4
Collect like terms
a + 7a = 21 + 4
Simplify the arithmetic
8a = 25
Divide both sides by 8
[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]
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12y x 7.5 So what do you think the answer is?
Answer:
I believe it's 90y
Step-by-step explanation:
12 × 7 = 84, then you add 6, which is half of 12, to get 90.
Please let me know if I'm wrong.
What is the solution to the equation?
3(x+9)^3/4=24
Answer:
The solution is x= 2 cubic root 4 -9 or -5.825
Step-by-step explanation:
3(x+9)^3/4=24
3(x^3 + 27)/4=24
3x^3+81/4=24
0.75x^3 +20.25=24
0.75x^3=2.75
x= 2 cubic root 4 -9 or -5.825
2 3/5 x 1 3/7=
i need help
Answer:
26/7 or 3 5/7
Step-by-step explanation:
Somebody please help me
Answer:
3750
Step-by-step explanation:
Given f(x)=-2x-1, solve for x when f(x)=-7
Answer:
The answer is -15.
Step-by-step explanation:
1. 2x - 1
2. 2(-7) - 1
3. (-14) - 1
4. -15
By plugging in our x value, we are able to use PEMDAS to multiply 2 and the value of x and then, we subtract 1 from the value we got from step 3 to get -15.
what is the value of 3\4 ÷ 2 1\2
please no links
AND HELP THIS IS DUE IN A COUPLE MINUTES
Answer:
1/14
Step-by-step explanation:
3/4÷21/2
3/4× 2/21=6/84=1/14
Amy wants to make 20 cupcakes. She knows 3 cups sugar makes 2 cupcakes. How many cups of sugar will she need
Answer:
30
Step-by-step explanation:
(20/2)x3
helpppppppppppppppppppppppp
A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 3 days, how many whole miles can he drive on a $ 250 budget?
Answer:222.38
Step-by-step explanation:26.95x0.28 x3
Answer:
604 miles
Step-by-step explanation:
he has to pay 80.85 for 3 days (26.95 x 3)
250 - 80.85 = 169.15 (money left)
169.15 ÷ 0.28 = 604 (with many decimals)
604 whole miles
XIn is getting an estimate from a printer for flyers for the drama club. Xin orders color prints and negotiate a 10% discount on the print job for the drama club. If f represents the number of flyers XIn order, does 0.10(17.5+0.20f) represent the total cost of the print job? Why or why not?
Answer:
Yes.
Step-by-step explanation:
10% is 0.10 in decimal form. Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
In conclusion:
Yes. 0.10( 17.50 + 0.20f ) does represent the total cost of the print job.
what is the estimate of 6472
Estimating the value of 6472+2380
Round up the number 6472 to 6470.
6470+2380
Round up the number 2380 to 2380.
6470+2380
Add 2380 to 6470.
8850
6472+2380≈8850
The Estimated Value of 6472+2380 is 8850.
Answer:
7000
Step-by-step explanation:
6000+472=7000 I really hope it helped
Explain how to translate, rotate, or reflect line j to obtain line k please help!
Find the greatest common factor of the following numbers?
Answer:
where are the numbers?
Step-by-step explanation:
where are the numbers
Which choices are equivalent to the expression below? Check all that apply
Answer:
B, D, and E
Step-by-step explanation:
Felix buys 5 kilograms of corn tortilla chips. How much does he spend?
Answer:
$10
Step-by-step explanation:
5 times $2 equals $10
Answer:
$10
Step-by-step explanation:
Each kg of corn tortilla chips: $2
5 kgs of corn tortilla chips: 5*2
= $10
Hope this helps and have a wonderful time ahead at Brainly! :D
Find the equivalent measurement.
a. _ feet = 7 yards
b. 9 feet = _ yards
c. _ yards = 48 inches
d. _ yards = 24 feet
30 fortyths into a decimal
Answer:
0.3
Step-by-step explanation:
Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.
Hope this helps :)
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Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account
Answer:
correct the answer is 6.13
Step-by-step explanation:
The required current balance in Maggie's bank account is 6.13.
Given that,
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
initial balance in Maggies's bank account = -18.37
She deposited 24.50 in her bank account,
The current balance in her bank account = Initial balance + money deposited
Current = 24.50 - 18.37
Current balance = 6.13
Thus, the required current balance in Maggie's bank account is 6.13.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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What is the perimeter of the parallelogram shown below?A.11 cmB.22 cmC.24 cmD.64
Answer:
B. 22 cm
Step-by-step explanation:
Perimeter of a parallelogram is 2(l+w)
= 2(8+3)
=2(11)
=22cm
Answer: The person above is correct I checked it
HELP PLEASE !!!!!!!!!!
Answer:
m < 2 = 38°
Step-by-step explanation:
The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.
Find the perimeter and area of the rectangle of 5 inches and 7 inches
A can of soft drinks is $1.50 and a bottle of juice is $ 2.80 .what would it cost to buy two cans of soft drinks and a bottle of juice ?
Can someone tell me what the answers are to each question. I did some of them but I would like to see if they’re also right.
The Phillipses traveled 717.2 miles to pick up their new boat. At the end of the trip, the odometer read
23,518.9 miles.
Answer:
what is the question?
Step-by-step explanation:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
Will wanted to solve the problem
468
÷
12
468
÷
12
using partial quotients.
Which of the methods could be used to find the quotient? Select all that apply.
A.
Subtract (
10
×
12
10
×
12
) from 468 to get 348. Subtract (
3
×
12
3
×
12
) from 348 to get 312. Subtract (
9
×
12
9
×
12
) from 292.
B.
Subtract (
30
×
12
30
×
12
) from 468 to get 108. Subtract (
9
×
12
9
×
12
) from 108.
C.
Subtract (
20
×
12
20
×
12
) from 468 to get 228. Subtract (
10
×
12
10
×
12
) from 228 to get 108. Subtract (
3
×
12
3
×
12
) from 108 to get 72. Subtract (
6
×
12
6
×
12
) from 72.
D.
Subtract (
30
×
12
30
×
12
) from 468 to get 108. Subtract (
4
×
12
4
×
12
) from 108 to get 60. Subtract (
4
×
12
4
×
12
) from 60.
The method among the options that could be used to find the quotient of 468 ÷ 12 using partial quotients are;
Options B and D
Will wants to divide 468 ÷ 12 using partial quotients;
The dividend here is 468 and the divisor is 12.
Step 1; Subtract from 468 a multiple of 12. Let us use say 12 × 30 = 360.Thus, we will have; 468 - 360 = 108
Step 2; We will keep repeating step 1 until the remainder is less than the divisor 12 or equal to zero.Thus, in conclusion looking at the options the only one that corresponds to the steps above will be options B and C
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HELP
15.4 = -2.1 + a/0.2
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