The product of the factors (5x − 8) and (5x + 8) is 25x² − 64. Then the correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
One factor of the polynomial is given which is 5x − 8.
Then the polynomial will be
Let the other factor be 5x + 8
Then their product will be
(5x − 8)(5x + 8)
(5x)² − 8²
25x² − 64
More about the polynomial link is given below.
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If mZT = (2x + 85), m ZV = (5x + 29)", and
the sum of the measures of the angles is
930, find the measure of each angle.
Answer:
Solving for x;
2x + 85 + 5x + 29 = 930
combine like terms:
7x + 114 = 930
-114 -114
7x = 816
/7 /7
x = 116.57, now we replace the x with it's actual value:
∠ZT = 2(116.57) + 85 = 318.14°
∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;
318.14 + 611.85 = 929.99, which is close to 930 so we are correct.
Vanessa deposits $24,000 into each of two savings accounts. • Account I eams 2.4% interest compounded annually. • Account II eams 2.4% annual simple interest • There are no additional deposits or withdrawals. What is the sum of the balances of these accounts at the end of 5 years? I WILL GIVE BRAINLIEST JUST ANSWER ME WITH THE RIGHT ANSWER AND FAST/ASAP
A. $53,760.00
B.$53,901.59
C. $54,043.20
D. $56,640.00
Answer:
B
Step-by-step explanation:
I just took the test. Sorry for the late response.
-3 |2x-1| = -15
Solve for X.
Answer:
download Goutmath try it .
Because Goutmath help you in math so try it
Find the surface area. HELP PLEASE!!!
answer:
219
Step-by-step explanation:
(base * height) + length (4 + 5 + 6)
24 + 13 (15)
219
ANSWER FAST PLEASE
what is the degree of the polynomial
Answer:
The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
Step-by-step explanation:
ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.
3 square root x^5 / 5 square root x^2
Convert the mixed number 5 4/9 to an improper fraction.
Answer:
[tex]=\frac{49}{9}[/tex]
Step-by-step explanation:
Given the following question:
[tex]5\frac{4}{9}[/tex]
In order to convert a mixed number into an improper fraction, you have to multiply the denominator by the whole number (in this case; 9 and 5) and then add the numerator (in this case; 4) to receive your answer. Of course, keeping the denominator the same.
[tex]5\frac{4}{9}[/tex]
[tex]5\frac{4}{9}=9\times5=45+4=49=\frac{49}{9}[/tex]
[tex]=\frac{49}{9}[/tex]
Hope this helps.
The improper fraction for the given mixed fraction is 49/9.
The given fraction is [tex]5\frac{4}{9}[/tex].
These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)
They are written and can be converted to fraction as [tex]a\frac{b}{c}=\frac{(a\times c)+b}{c}[/tex]
Now, [tex]5\frac{4}{9}=\frac{(5\times9)+4}{9}[/tex]
= (45+4)/9
= 49/9
Therefore, the improper fraction for the given mixed fraction is 49/9.
Learn more about mixed fractions here:
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PLEASE HELP ME????( Brainlest) Please Show Work???
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
if there are 5 students who like singing and 4 students who have pets what fraction of students like to sing?
5/1
Step-by-step explanation:
you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.
I hope this helped
#5/1 is answer
Solve for x to the NEAREST TENTH.
Answer: The answer is 5
The length of a rectangular storage room is 2 feet longer than its width if the area of the room is 195 square feet, find its dimensions
The dimensions of the rectangular storage room are length = 15 ft and width = 13 ft
Let the
L = length of the rectangular storage room and W = width of rectangular storage room.Givent hat its length is 2 feet longer than its width, we have that
L = W + 2
Area of a rectangleThe area of the room is a rectangle A = LW where
L = length of room and W = width of roomSince the area of the room A= 195 ft², we have that
A = LW
LW = 195
The width of the rectangular storage roomSubstituting the value of L into the equation, we have
LW = 195
(W + 2)W = 195
W² + 2W = 195
W² + 2W - 195 = 0
W² + 15W - 13W - 195 = 0
W(W + 15) - 13(W + 15) = 0
(W + 15)(W - 13) = 0
W + 15 = 0 or W - 13 = 0
W = -15 or W = 13.
Since W cannot be negative, W = 13 ft
The length of the rectangular storage room
Since L = W + 2
Substituting W into the equation, we have
L = 13 + 2
L = 15 ft
So, the dimensions of the rectangular storage room are length = 15 ft and width = 13 ft
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What was the temperature today?
which is the largest of 4.187 or 4.2 or 4.099
4.2 is biggest 4.2 is bigger than 4.18
20 > 18
20 > 9 so other one is smaller too
Can someone please explain system of equations to me?
I’m struggling
You are ordering a cake for your brother’s birthday. You must choose between vanilla, chocolate or marble cake. You must choose between buttercream or chocolate frosting. Finally you must choose between a cake with a 4-inch radius, 6-inch radius, 9-inch radius, or 12-inch radius. How many difference cake options are there?
Answer:
24
Step-by-step explanation:
There 3 cake flavor choices.
There are 2 frosting choices.
There are 4 size options.
Multiply to find the total number of choices.
3×2×4
= 24 different cakes can be made with these choices.
Given AD parallel to BC
Prove AED~CEB
use geometry proof please
Answer:
Because its a isoceles triangle
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the similar pyramids pictured below.
The volume of pyramid 1 is 675 cm3 and its surface area is 504 cm2 If the volume of pyramid 2 is 3125 cm3 , what is its
surface area?
Answer:
1400 cm²
Step-by-step explanation:
The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.
The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.
The area of the larger pyramid is 25/9 times the area of the smaller one:
A = (25/9) × 504 cm² = 1400 cm²
The surface area of pyramid 2 is 1400 cm².
_____
Additional comment
You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.
PLS HELP I'M BEGGING U
A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 7700 dollars?
Answer:
13 years the value of the car is 7700 dollars.
Step-by-step explanation:
Your search - { Present Volue = initial value (1-7.5%) t t is the years
∴7700 = 22300 (1-7,5%)^t
= $10.925 ) t = [tex]\frac{7700}{23300}[/tex] = 0.345 t=13
Supplement:
I year.
P value = 22300- 22300.7.5%
2 years
p value = (122300 - 22300. 7.5% ) - (22300-223107.5%)
= (22300 - 12300.7.5% ) (1-7.5%)
= 22300 (1-7.5%)(1-7.5%).
so t years :
p value = 22300 (1-7.5%)^t
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
Answer:
[tex]\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}[/tex]
Given:
radius (r) = 6 cm[tex]\theta[/tex] = 60°[tex]\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}[/tex]
[tex]\implies \textsf{area}=\dfrac{2160\pi}{360}[/tex]
[tex]\implies \textsf{area}=6\pi \textsf{ cm}^2[/tex]
[tex]\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}[/tex]
A triangle has sides with lengths of 60 miles, 75 miles, and 45 miles. Is it a right triangle?
Answer:
I don't think it is
Step-by-step explanation:
tell me if I'm wrong
Answer:
yes it is a right triangle
Step-by-step explanation:
tell me if im wrong
05) A polynomial function f of degree(6) whose coefficients are real numbers has the zeros i, 4-i,2+i . Find the remaining zeros of (f)
The degree of the polynomial function f is the number of zeros function f has.
The remaining zeros of the polynomial function are -i, 4 + i and 2 - i
How to determine the remaining zerosThe degrees of the polynomial is given as;
Degree = 6
The zeros are given as:
i, 4-i,2+i
The above numbers are complex numbers.
This means that, their conjugates are also zeros of the polynomial
Their conjugates are -i, 4 + i and 2 - i
Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i
Read more about polynomials at:
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1
21 points
Define each sequence as Geometric (common ratio r), Arithmetic (common difference d), or Neither.
-25,-18,-11,-4
Answer:
Its an Arithmetic progression
Step-by-step explanation:
d1= -18-(-25)= 7
d2= -11-(-18)= 7
d1 = d2
r1 = -18/25=0.72
r2 = -11/-8= 0.611
r1 isnt = r2
Triangle ghj has the exterior angles shown below. triangle g h j. the exterior angles are (9 x 6) degrees, (10 x 7) degrees, (10 x minus 1) degrees. for triangle g h j, what is the value of x? 2.7 5.8 12 29
The sum of all the angles of a triangle is equal to 180°. The value of x is 12.
What is the sum of all the angles of a triangle?The sum of all the angles of a triangle is equal to 180°.
What is the exterior angle?The Exterior Angle is the angle formed by either of a shape's sides and a line drawn from the opposite side.
We know that in a triangle the sum of the exterior angle and the interior angle is 180°. Therefore, the following angles of the triangle can be written as,
[tex]\angle H=180-(9x+6)[/tex]
[tex]\angle G=180-(10x-1)[/tex]
[tex]\angle J=180-(10x+7)[/tex]
Now, the sum of all the angles of the triangle is 180°, therefore, the sum can be written as,
[tex]\angle H+\angle G+\angle J=180^o\\\\180-(9x+6) + 180-(10x-1) + 180-(10x+7) = 180\\\\540-(9x+6)-(10x-1)-(10x+7)=180\\\\540-180 = (9x+6)+(10x-1)+(10x+7)\\\\360=9x+6+10x-1+10x+7\\\\360=29x+12\\\\360-12=27x\\\\x = 12[/tex]
Hence, the value of x is 12.
Learn more about Exterior Angle:
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Answer:
12
Step-by-step explanation:
27 points please help me out which are equivalent
Answer:
a)
[tex]8(x + 5)[/tex]
b)
[tex]13y + 10[/tex]
Step-by-step explanation:
Hope it helps you<3Answer:
(a) 1st, 2nd
(b) 4th
Step-by-step explanation:
(a) Option 1: Expanding with the distributive property, we have
[tex]8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,[/tex]
which is equivalent.
Option 2: Multiplying the terms gives
[tex]8\cdot x+8\cdot 5= 8x+40[/tex],
which is equivalent.
Option 3: We don't know what x is, so there is no way to write [tex]48x[/tex] as [tex]8x+40[/tex]. This is not equivalent.
Option 4: Expanding with the distributive property gives
[tex]8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,[/tex]
which is not equivalent.
(b) First, we combine like terms in the given expression:
[tex]12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.[/tex]
Looking at the given answer choices, only the fourth option is equivalent.
Where are earthquakes generally more violent violent
(a) along a plate boundary where tension is released frequently or
(b)along a boundary where tension builds up over a greater period of time
Answer:
B
Step-by-step explanation:
Earthquakes are formed when a plate is stuck and it later releases (which creates the shaking). The more tension, the greater an earthquake is.
Hope this helps :)
Have a nice day
Robby is considering taking out a cash advance on his credit card to purchase a new television. His credit card offers cash advances up to $500. 00 at an interest rate of 28%. If the television costs $350. 00 and Robby plans to pay the balance of in 6 months, how much extra will he pay in interest to purchase the television? a. $29. 14 b. $63. 18 c. $174. 48 d. $379. 08 Please select the best answer from the choices provided A B C D.
Answer: Choice A
Step-by-step explanation:
calculate the weekly repayment on a $30,000 loan that is charged at a simple interest rate of 10.14% for 3 years
Jack splits 28 muffins among 4 baskets. He puts the same number of muffins in each basket.
How many muffins are in each basket?
Answer:
7
Step-by-step explanation:
28/4=7
Hope this helps! :)
Have a blessed day and good luck on your assignment
Please mark me as brainliest I really want to level up
Nicole deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years?
Answer:
Donna will be paid
$
80
as interest.
Explanation:
S
I
=
P
×
R
×
T
100
Applying the formula for simple interest we get:
S
I
=
800
×
2
×
5
100
S
I
=
8
00
×
2
×
5
1
00
S
I
=
8
×
2
×
5
S
I
=
80
Step-by-step explanation:
Answer:
$80
Step-by-step explanation:
Did this question in class before ;D
e Snowy Slopes ski resort kept track of the amount of snow that fell each weekend during their busy season. This box plot shows the results.
Weekend snowfall (in.)
0
4
8
12
16
20
What fraction of the time did Snowy Slopes get 12 inches of snow or less?
help ASAP!
The fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).
What is a Box Plot?In a box plot, the distribution of a data set is displayed showing data points that lie between 25% (1/4), 50% (1/2), and 75% (3/4) of the data set.
50% is indicated by the vertical line that divides the rectangular box in the box plot.
Snowy slopes that get 12 inches of snow or less lie at 50%, which is 1/2 of the time.
Therefore, the fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).
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1/2 ; got it right on IXL