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
Ataxi service charges you $7.50 plus $0.60 per minute, m. for a trip to
the airport. The total charge is $13.50. Write an algebraic equation you
can use to determine the number of minutes it took to get to the airpor
take? (you do not need to solve)
Answer:
6
Step-by-step explanation:
13-7 =6
$6.00÷0.60¢ = 10
(I may be hella off, but it's worth a shot)
simplify -1 1/2 divided by 1 2/3
Answer:
-5/2
Step-by-step explanation:
Or -2.5
If you divide a negative by a positive it becomes a negative.
Hope this helps any!
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
how to solve 125×-1=25×+3
Answer:
x=1/25
Step-by-step explanation:
If 25% of $2000 is spent on food,how much money is spent on food?
Answer:
$500
Step-by-step explanation:
Simply change the 25% into a decimal which is 0.25 and multiply $2000.
Or you can change 25% into a a fraction which is 25/100 and simplify giving 1/4. Then simply multiply $2000 by the fraction: 2000/1×1/4. Cross multiply which is 2000×1/1×4=2000/4. Now simply divide 2000 by 4 and you get 500 as your answer.
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
The price of an item yesterday was $85. Today, the price rose to $136. Find the percentage increase
60%
Step-by-step explanation:
(136 - 85)/85 × 100%
= 51/85 × 100%
= 51/17 × 20%
= 3 × 20%
= 60%
What is the result of gaining 10 pound then losing 20
Answer:
-10 pounds or 10 pounds loss
Step-by-step explanation:
you subreact 10-20 and you get -10
What is 42 x 118 In a full equation?
Answer:
4956
Step-by-step explanation:
alternative forms
4.956×10³
Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure
Answer:
Step-by-step explanation:
2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees
Let the smaller angle be x
The larger angle will be 3x+8
X+3x+8=180
4x=180-8=172
X=172/4
X=43
3*43+8= 137
m/_GFN = 4x+10, m/_NFE= 14x+3, and m/_ GFE=157°. Find m/_NFE. PLEASE EXPLAIN Thoroughly!!
Answer:
4x+10+14x+3=157
18x+13=157
18x=157-13
18x = 144
X = 144 /18
X= 8
NFE= 14x+3
= 14(8)+3
=112+3
=115
Step-by-step explanation:
how do i solve (4+6i)+(8-10i)?
Answer:
12- 4i
Step-by-step explanation:
(4+6i)+(8-10i)
4+6i+8-10i
4+8+6i-10i
12-4i
Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?
Answer:
8.4
Step-by-step explanation:
+82
-5x+2>44
-2
-5x>42
divde by +5
x=8.4
50 Points!! I'M CONFUSED SO PLEASE HELP
Answer:
x=5
Step-by-step explanation:
Only pay attention to one transversal at a time
two angles are congruent so
9x+12=13x-8
9x-13x=-8-12
-4x=-20
4x=20
x=5
Find the LCD of the fractions and enter them
4/8 and 4/6
Answer:
The LCD IS 6
Step-by-step explanation:
Simplify the expression, show all of your work:
18 : 2.3
5 - 2
Answer:
9
Step-by-step explanation:
Numerator:18 divided by 2=9 9 times 3= 27
Denominator:3
27/3=9
Ryan borrowed $725 at an interest rate of 6.25%. How much interest will be pay if it takes 2 years to pay off his loan?
Answer:
$830 sana maka tulong po salamatPlease solve the math problem... I will mark you brainliest
Answer: XYZ = HGJ by the ASA postulate
h = -16t2 + 4t + 4
I don’t know how to approach this
Answer:
0.64 seconds
Step-by-step explanation:
Some extra unneeded information provided in this problem. Simply find t when h is equal to zero. (Factor out -4 if it makes it easier.)
0 = -16t^2 + 4t + 4
Solve using the quadratic equation:
t = ~0.64
Question Help Morgan saw 3x 10' cats in the park on Sunday. She saw three times as many cats on Monday as she saw on Sunday. How many cats did she see over the two days? Morgan saw cats over the two days.​
Answer:
60
Step-by-step explanation:
Find two consecutive odd integers such that
4 times the smaller integer is 19 less than 5
times the larger integer.
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11
What is the rate of change for the equation y = 2x + 100?
The rate of change is 2.
good luck :)
A piece of iron rod costs $60. If the rod was 2 meter shorter and each meter costs $1 more, the cost would remain unchanged. What is
the length ofthe rod?
Answer:
the length is $58
Step-by-step explanation:
Evaluate the expression when x = 6 and y = 2:
Answer:
[tex] \frac{3x + 4}{y} = \frac{3(6) + 4}{(2)} \\ = \frac{18 + 4}{2} = \frac{22}{2} \\ = 11[/tex]
prove that 5^(2n - 1) is divisible by 8
Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
Which side is the hypotenuse of XYZ
In the equation y= 2 + 7, what is the value of y when the value of x is 26?
Answer:
I think
the value of y will be -24
..... when the value of x is 26
Which of the following is equivalent to this expression?-3x(-y+4)
-12x-3xy
-12x+3xy
12x+3xy
12x-3xy
-12x-3xy
-12x+3xy
12x+3xy
12x-3xy
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
guys pls help me!!!!!!!
Answer:
The answer is t = 17
Step-by-step explanation:
Sum of angles on a straight line = 180⁰
(2t -7) + 90 + 49= 180
(2t -7) +139 = 180⁰
2t -7) = 180 - 139
2t - 7 = 41
2t = 41 - 7
2t = 34
Divide both sides by 2
t = 17
90-80*2-2
plz helpppppppppppppppppp
Answer:
18
Step-by-step explanation:
90-80=10
10*2=20
20-2=18
Answer:
90-80 x 2-2 = 0
Step-by-step explanation:
Firstly. subtract 80 from 90 to get 10.
90-80= 10
Then subtract 2 from 2, to get 0.
2-2=0
Lastly, for your answer multiply 10 by 0 to get 0.
10 x 0 = 0
, Hope this helps :)
Have a great day!!
