Answer:
A
Step-by-step explanation:
[tex]2x^2(x-5)-3(x-5)=\\2x^3-10x^2-3x+15=\\(x-5)(2x^2-3)[/tex]
Therefore, the correct answer is choice A. Hope this helps!
The factor of the polynomial is (x - 5)(2x² - 3).
Option A is the correct answer.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
We can factor the polynomial 2x² (x - 5) - 3(x - 5) by first factoring out the common factor of (x - 5).
This gives:
2x² (x - 5) - 3(x - 5)
= (x - 5)(2x^2 - 3)
Thus,
The factor of the polynomial is (x - 5)(2x² - 3).
Learn more about polynomials here:
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[tex](3x-1)^{2} + 12x-4=0[/tex]
Can someone help me solve this. I am stuck at [tex]3(3x^{2} + 2x-1)[/tex]
Which is the greatest mass? *
4000 g
400000 mg
40 kg
400 cg
if r = 7 and s = 10, find R. Round to the nearest 10th
Answer:
R = 35.0
Step-by-step explanation:
We know tan theta = opp/ adj
tan R = r/s
tan R = 7/10
Take the inverse tan of each side
tan ^-1 tan (R) = tan ^-1 (7/10)
R =34.9920202
R = 35.0
Answer:
A. 35º
Step-by-step explanation:
What is the measure of AngleDEF? Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees. 25 degrees 75 degrees 90 degrees 105 degrees
hellllpppp
Answer:
105 degrees
Step-by-step explanation:
The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.
28 + 47 + x = 180
75 + x = 180
75 - 75 + x = 180 - 75
x = 105
Answer:
105 degrees
Step-by-step explanation:
28+47=75
180-75=105
Please Please PLease help
Answer:
2/3
Step-by-step explanation:
2nd term = 2/5
5th term = 16/135
Nth term for any series is given by [tex]a r^n-1[/tex]
where a is the forst term
r is the common ratio
for 2nd term
[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]
for 5th term
[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]
Since we have to eliminate a and find r .
we can divide 5th term by second term
then we get the following equation
[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]
\
Thus, common ratio is 2/3.
The polynomial 2x3 - 5x2 + 4x - 10 is split into two groups, 2x + 4x and -5x? - 10. The GCFs of each group is then
factored out
What is the common binomial factor between the two groups after their GCFs have been factored out?
2x + 5
0 2X-5
O x-2
0x + 2
Save and Exit
Nex
Subuni
Answer:
2x - 5
Step-by-step explanation:
2x^3 + 4x = 2x(x^2 + 2)
-5x^2 - 10 = -5(x^2 + 2)
so the factors are (2x - 5)(x^2 + 2).
The manager at gabrielas furniture store is trying to figure out how much to charge for a book shelf that just arrived.The book shelf was bought at a wholesale price of $147.00 and gabrielas furniture store marks up all furniture by 60%
Answer:
235.2
Step-by-step explanation:
147 * 1.60 -> this way is an all in one calculation but to double check you can take 60% of 147 (147 * .60 = x ) and add that value to 147 so... 88.2+147=235.2
Answer:
88.2
Step-by-step explanation:
So all you have to do is this 147 * .60 = 88.2
The area of the patio is 216 square feet. Write an equation that represents the area of the patio
Answer:
[tex]216=2w \times w[/tex]
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
[tex]A= l\times w[/tex]
Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Now let's assume that the length of the patio is double than the width.
[tex]l=2w[/tex]
So, the equation that represents this problem is
[tex]216=2w \times w[/tex]
Answer:
x(x+6)=216
Step-by-step explanation:
It would actually be x instead of w because in the equation, they are using x's.
The equation would then be solved by making the equation x^2+6x=216.
By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.
Hope this helps!
. A don Alvaro le encargaron construir un depósito de agua de 729 m3 ¿Cuánto debe medir la arista del depósito?
Answer:
a = 9m
Step-by-step explanation:
You can take the volume of the water tank as the volume of a cube.
The volume of a cube with side a is given by:
V=a*a*a = a^3
To find the value of a you do a the subject of the formula:
a=(V)^{1/3}
You replace and obtain for a:
a = (729m^3)^{1/3} = 9m
hence, the rim a of the water tank is 9m
Answer: The side of the tank is 9 m.
Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.
To calculate Volume of a cube:
V = length*width*height
Knowing that volume is 729 and assuming sides are x:
x*x*x = 729
x³ = 729
x = [tex]\sqrt[3]{729}[/tex]
x = 9
The volume is in cubic meters, so sides of the tank measures 9 m.
Corey brought $54.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Corey had $2.00 left over after buying these items. What was the cost of each item?
Answer: The items cost as follows;
(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28
Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.
The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;
x + y + z = 52.50
However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.
Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.
Note however that, if y = 3z/4, then by cross multiplication,
4y = 3z
4y/3 = z
Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation
x + y + z = 52.50
y/6 + y + 4y/3 = 52.5
using a common denominator which is 6, you now have;
(y + 6y + 8y)/6 = 52.5
By cross multiplication, you now have
15y = 52.5*6
15y = 315
Divide both sides of the equation by 15
y = 21
Therefore, if the sketchbook is y, then the sketchbook costs $21.
Also if the brush is x, then the brush costs
x = y/6
x = 21/6
x = 3.50 (The brush costs $3.50)
Also if the sketchbook costs 3/4 of the paint set, then
y = 3z/4
21 = 3z/4
21*4 = 3z
84 = 3z
Divide both sides of the equation by 3
28 = z (The paint set costs $28)
Please help with this math question!
Answer:
Step-by-step explanation:
C
what is the sum of the infinite series: 1-4+16-64+. . .
Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
what is the slop of the line represented by y= 5x - 7
Answer:
The slope is
m =5
The y-intercept is
b =-7 or (0,7)
Step-by-step explanation:
1. Solve for x: log7 49 = x
Answer:
2
Step-by-step explanation:
[tex]log_{7}[/tex] 49 = x can be reformatted to [tex]7^{x}[/tex] = 49. Solve for that and x =2.
I bought 45 oz of flour. She used 15.6 oz to make a loaf of bread, 0.71 oz for each muffin. How many muffins were made if you have 18.04 oz left over?
Answer:
16
Step-by-step explanation:
Total weight of flour =45 ozWeight of flour used for bread =15.6 ozLeftover =18.04 ozTherefore:
Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)
=45-(15.6+18.04)
=45-33.64
=11.36 oz
Since each muffin is made with 0.71 oz of flour
Number of muffins made=11.36/0.71
=16
16 muffins were made.
2. In two tosses of a fair die, what is the probability that:
i. The sum of the two numbers that show up is 7?
ii. The sum of the two numbers that show up is even?
iii. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?
Answer:
Step-by-step explanation:
The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.
i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)
The probability that the sum of the two numbers that show up is 7 is
6/36 = 1/6
ii) the number of outcomes whose sum is even are 18
The probability that the sum of the two numbers that show up is even is
18/36 = 1/2
ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)
The probability that the sum of the two numbers that show up is greater than 9 is
6/36 = 1/6
3) this is a poisson distribution. We want to determine the mean.
Mean = np
p = 5/200 = 0.025
n = 600
Therefore,
Mean = 0.025 × 600 = 15 eggs
15 eggs are expected to be broken from a crate containing 600 eggs
solve for a side in right triangles
Answer:
AC = 3.06
Step-by-step explanation:
Please help with this question. I don’t get it.
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answer:
1. Slope: -3; passes through (0,5)
y = mx + b
5 = -3(0) + b
5 = b
y = -3x + 5
2. Passes through (0, -2) and (4,-1)
m = -1 + 2 / 4 - 0
m = 1/4
y = mx + b
-2 = 1/4(0) + b
-2 = b
y = 1/4x - 2
Step-by-step explanation:
Part 1
1. write down the slope intercept formula
2. replace x and y by their value
3. solve for b
4. write your answer by putting them in the formula again
Part 2.
1. label your ordered pairs and write down the slope formula
2. solve for the slope by replacing the letters by their values
3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.
4. solve for b, and then put your answers back into the formula.
The values of negative and positive exponents come get the points !!!!!!!!!!!!!!!!!!! plz help me
Step-by-step explanation:
In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!
Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the
top of the streetlamp is 40. About how high is the streetlamp? (6 points)
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
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A box envelopes costs $5.25. The box contains 25 envelopes. How much does each envelope costs?
Answer:21 cents
Step-by-step explanation:5.25 divided by 25 is 21
need help with my math checking it over just making sure its right please help it is a lot!
Answer:
14. 14.86 (simple subtraction)
15. 4 dollars (156/39 = 4)
18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)
19.14 (3.5/0.25)
20. A(understanding question contex)
25. 3a + 3b or C (add all the a's and b's together)
26. 5 (Divide apples by 3)
28.C(multiply all the sides together)
29. A (12/7 is fraction form of 12 : 7)
30. C (rate is 20 so 6 * 20 = 120)
31. D
Hoped this helped, this took a while to do :)
Doreen uses 13 apples for every two pies she bakes. How many apples will she use for 12 pies?
13/2 = ?/12
Answer:
78 apples for 12 pies
Step-by-step explanation:
we use 13 apples for 2 pies
she makes 12 pies
6x2 = 12 pies
so we do 13x6
13x6=78
78 apples for 12 pies :)
can i get brainliest
Answer:
13/2 = 6.5
12 x 6.5 = 78
? = 78
13/2 = 78/12
Step-by-step explanation:
13 apples ÷ 2 pies = 6.5 apples per pie
12 pies x 6.5 apples per pie = 78 apples for 12 pies
? = 78 apples for 12 pies
13/2 = 78/12
What is the volume of this rectangular prism?
Answer:
[tex]\frac{64}{27} cm^3[/tex]
Step-by-step explanation:
V = L*W*H
V= (4/3)*(4/3)*(4/3)
Volume = [tex]\frac{64}{27} cm^3[/tex]
8) Lea and Elisa each improved their yards by planting hostas and geraniums. They
bought their supplies from the same store. Lea spent $69 on 11 hostas and 7
geraniums, Elisa spent $64 on 10 hostas and 7 geraniums. What is the cost of one
hosta and the cost of one geranium?
Answer:
hosta = $5 each
geranium = $2 each
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Leas's cost: 11 h + 7 g = 69
Elisa’s cost: 10h + 7g = 64
Where h is the price of one hosta and g is the price of one geranium.
Subtracting Elisa's cost to Leas's cost:
11 h + 7 g = 69
-
10h + 7g = 64
____________
h = $5
Replacing h in one equation:
11 (5) + 7 g = 69
55 +7g =69
7g = 69-55
7g= 14
g= 14/7
g= $2
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Answer: The area of one wall is 216.72 ft^2.
Step-by-step explanation:
16.8 * 12.9 = 216.72
25 Pts
What type of graph would you use to compare the prices of Felix's books and of Tyler's books? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Felix's books
Mean 10.21
Median 6
Mode 3
Range 26
Tyler's Books
Mean 77.36
Median 68
Mode 76
Range 92
Answer:
I would use box-and-whisker plots to compare the two sets of prices. The plots will show the ranges, which is the difference least and greatest data points. Also, the medians will divide each set of data into 4 equal groups. Comparing these middle values and range of prices in each group will show how similar the prices are.
Step-by-step explanation:
used this son my test and it was right.
which one is the largest 20% , 4/15 , 0.21 , 1/4
Answer:
1/4 is the largest number in the list
estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m
Answer:
7 meters
Step-by-step explanation:
Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.