Factor the expression 2x^3-10x^2-5x+25. Show your work.
Step 1. Factor out common terms in the first two terms, then in the last two terms.
2x^2(x - 5) -5(x - 5)
Step 2. Factor out the common term x - 5
(x - 5)(2x^2 - 5)
Factor the following expression.
10x^5 + 5x^3 - 14x^2 - 7
A. (5x^3 + 7) (2x^2 -1)
B. (5x^4 + 7) (2x -1)
C. (5x^4 - 7) (2x + 1)
D. (5x^3 - 7) (2x^2 + 1)
So, I took the test already a million times already and I keep failing because of questions similar to this. I'd appreciate if you also explained the process instead of just giving an answer. Thank you!
PS: (5x^4 - 7) (2x + 1) is not the answer.
10x^5 + 5x^3 - 14x^2 - 7
= 5x^3(2x^2 + 1) - 7(2x^2 + 1)
= (5x^3 - 7)(2x^2 + 1)
Answer is D
(5x^3 - 7)(2x^2 + 1)
Answer:
D.
Step-by-step explanation:
Let's use common factor gruping terms. We have that we have a common factor between the two left terms and another common factor between the two right terms. Then,
for the two left terms we take the common divisor, in this case 5 and the x with the minimun exponent, that is 5x^3.
for the two right terms we take the common divisor, in this case -7 and the x with the minimun exponent, in this case the -7 has no x so we don't include it in the common factor.
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)[/tex]
Now, we use common factor again, this time the common factor will be [tex]2x^2+1[/tex]:
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)= (2x^2+1)(5x^3-7)[/tex].
Then, the answer is D.
match the number with its opposite ONE NUMBER FOR EACH ONE. 3.2 A 2.3 -2.3 B -3.2. -1.5 C 1.5 5.1 D 5.1
3.2=-3.2
2.3=-2.3
1.5=-1.5
5.1=-5.1
What is another way to write 2.64 x 100
264. Is another way once you multiply it.
what does n/6 = 5.5 equal, what does n equal
Hello!
[tex]\frac{n}{6}=5.5[/tex]
First you had to multiply by 6 from both sides.
[tex]\frac{6n}{6}=5.5*6[/tex]
Then you simplify by the answer is correct.
[tex]n=33[/tex]
Hope this helps!
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-Charlie
63.90 three friends spent on dinner. They want to split the dinner check equally.
Hello AskMeBosh
Since we know that there are 3 friends, and 63.90 dollars would be sent, we would divide by 3
63.90/3
= 21.3
Their check for each will be 21.3 dollars
:)
The split of the dinner each has to spend 21.30.
Concept:Here the fundamental concept to be use is of division.To split up bills equally, the total bill amount has to be divided by the no of people.How to solve the given question? The total bill amount = 63.90No of people to split the bill = 3∴ The amount to be spent by each person = [tex]\frac{Total \ Amount}{No \ of \ people} = \frac{63.90}{3} = 21.30[/tex]Thus, each person has to pay 21.30.
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ANSWER FAST PLEASE Which is a reasonable first step that can be used to solve the equation 4x+3(x+2)=5(2x-3)
Hey there!!
Given equation :
... 4x +3(x+2) = 5(2x-3)
Using the distributive property :
... 4x + 3(x) + 3 (2) = 5(2x) + 5(-3)
... 4x + 3x + 6 = 10x - 15
Combining the like terms :
... 7x + 6 = 10x - 15
Subtracting 7x on both sides :
... 6 = 3x - 15
Adding 15 on both sides :
... 21 = 3x
Dividing by 3 on both sides :
... x = 7
This is the solved equation. The first step we have done to solve the equation was using the distributive property.
Hope my answer helps!
78 boxes of dvd, each box has 116 in it. 19 boxes are shipped, how many are left
78 - 19 = 59
If you're looking for the number of boxes that are left, its 59, but if you are looking for how many DVDs are left then you would proceed to do:
116 · 59 = 6844
6844 would be the number of DVDs that are left in the remaining boxes.
Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set costs $15 and the canvases are $24.50 each.
If Lori buys 6 canvases, what is the total amount of money she spends for her next exhibit?
A.
$237.00
B.
$162.00
C.
$211.00
D.
$147.00
Answer:
If you buy the paint set and the 6 canvases its B if you just buy the cancases itd D
Step-by-step explanation:
Answer:
Total Amount Spent = $162.00
Step-by-step explanation:
Given
Items: Watercolor paints and Canvases
Cost of watercolor paint = $15
Cost of each canvases= $24.50
Quantity of Watercolor paint = 1
Quantity of each canvases = 6
Required
Total Amount Spent
To get the total amount spent, we first calculate the amount spent on each item.
Amount Spent on Watercolor
Cost of watercolor paint = $15
Quantity of Watercolor paint = 1
Amount = Cost * Quantity
Amount = $15 * 1
Amount = $15
Amount Spent on canvases
Cost of each canvases = $24.50
Quantity of canvases = 6
Amount = Cost * Quantity
Amount = $24.50 * 6
Amount = $147.00
Total Amount Spent = Amount Spent on Water Color + Amount Spent on Canvases
Total Amount Spent = $15 + $147.00
Total Amount Spent = $162.00
A cab service charges a flat rate of $3.25 and an additional $0.75 per mile. Ashley has $10. What is the maximum number of miles Ashley can travel?
After paying for the flat rate, she has 10-3.25=6.75 left.
With 6.75 she can go for 6.75/0.75 = 9 miles
Note: solving by reasoning is often faster than mechanically forming an equation.
Final answer:
To find the maximum number of miles Ashley can travel with $10, subtract the flat rate of $3.25 from $10, leaving $6.75, which is then divided by the per mile rate of $0.75 to result in 9 miles.
Explanation:
To calculate the maximum number of miles Ashley can travel with $10 using the cab service that charges a flat rate plus a per mile fee, you first subtract the flat rate from the total amount Ashley has. Then, divide the remaining amount by the per mile charge to find the number of miles she can afford.
Step-by-step Calculation
Subtract the flat rate ($3.25) from Ashley's total amount ($10): $10 - $3.25 = $6.75.
Solve the following problems. Remember, it’s easiest to solve the questions in the parentheses first. a. 4 + (5+12) b. (3 + 6) + 17 c. (3 + 4) + (5 + 6) d. 9 + (11 + 7) + 10
a. 21, b. 26, c. 18, d. 28
Answer: The required answers are :
(a) 21, (b) 26, (c) 18 and (d) 37.
Step-by-step explanation: We are given to solve the following problems with parentheses solved first.
(a). The given problem is
[tex]4+(5+12).[/tex]
We have
[tex]4+(5+12)=4+17=21.[/tex]
(b) The given problem is
[tex](3+6)+17.[/tex]
We have
[tex](3+6)+17=9+17=26.[/tex]
(c) The given problem is
[tex]4+(5+12).[/tex]
We have
[tex](3+4)+(5+6)=7+11=18.[/tex]
(d) The given problem is
[tex]9+(11+7)+10.[/tex]
We have
[tex]9+(11+7)+10=9+18+10=9+28=37.[/tex]
Thus, the required answers are :
(a) 21, (b) 26, (c) 18 and (d) 37.
Solve for x: 3-(2x-5) is less than -4(x+2)
x< 0.7 if i'm correct
ryan earns $5 for each small dog he walks and $8 for each latge dog he walks. today he walked 8 dogs and made a total of $55. how many small dogs did ryan walk ?
If we divide 55 (the total amount of money he made) by 5 (price to walk one small dog), we get 11. Meaning that the maximum amount of small dogs he could possibly walk and receive that amount of money is 11. However, he only walked 8 dogs. Therefore Ryan would have needed to walk a specific amount of large dogs in order to earn 55 dollars in total.
After doing some process of elimination, I reached this conclusion:
3 small dogs = $15
5 large dogs = $40
The combination of the two would equal $55.
Therefore, the answer would be 3 small dogs.
Please need help on both of these please
6.B Im not sure about this one
7. D
Answer:
3) C)
7) D)
Explanation for question 2)
Step 1:
4^3 = 64
4^4 = 256
4^9 = 262144
Step 2:
64 * 256 = 16,384
16,384/262,144 = 0.0625
Step 3:
0.0625 as a fraction, 1/16
-----------------------------------------------------
Now, we see there is no option as, 1/16
But, however there is 1/4^2 = 1/16
Because, 4^2 = 16
Therefore, 1/16
Explanation for answer 7)
It's pretty simple, your just looking for an answer that also combines like terms.
Hope this helps :-)
P.S: Sorry I took so long
I don’t know how to do this question
let x represent the number of apples and y represent the number of oranges.
TOTAL: x + y = 112
y = 112 - x
PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]
[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]
3x = 4y
3x = 4(112 - x)
3x = 448 - 4x
7x = 448
x = 64
y = 112 - x
= 112 - 64
= 48
a) There are 64 apples and 48 oranges
Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24
Unpeeled apples: 64 - 24 = 40
Unpeeled - Peeled: 40 - 24 - 16
b) there are 16 more unpeeled apples than peeled apples
Jim wants to purchase a used car. The price is $12,000 cash or $2,500 down and 24 monthly payments of $450.00. Jim decided to finance the boat.
The amount that will be financed: $9500
The total amount of the monthly payments: $10,800
The amount of the finance charge: $1,300
ExplanationRemember that the down payment is the initial amount you paid to reduce the amount you finance.
Given that, the amount that Jim will finance will be the price of the bath in cash minus the down payment:
Amount that will be financed = $12,000 - $2,500 = $9500
Next, to find the total amount of the monthly payments, we just need to multiply the monthly payment by the total number of monthly payments:
Total amount of the monthly payments = $450.00*24 = $10,800
Finally, to find the financial amount, we just need to subtract the financed amount from the total amount of the monthly payments:
Amount of the finance charge = $10,800 - $9500 = $1,300
A coyote weighs 11.3 lb convert the coyotes weight to ounces
1 lb = 16 ounces
11.3 lb x 16 oz = 180.8 ounces
11.3 lb equals 180.8 oz
Answer: 180.8 ounces
Step-by-step explanation: To convert 11.3 pounds to ounces, first find the conversion factor for pounds and ounces.
Conversion factor → 16 ounces = 1 pound
Next, notice that we are going from a larger unit "pounds" to a smaller unit "ounces." When we go from a larger unit to a smaller unit we multiply.
Larger ⇒ smaller multiply
In this case, we multiply 11.3 pounds by our conversion factor which is 16 ounces.
11.3 × 16 = 180.8 oz.
This means that 11.3 pounds is equal to 180.8 ounces.
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.
If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Bruno is correct. When going from a smaller unit to a larger unit you need to divide.
Sam is correct. When going from a larger unit to a smaller unit you need to multiply.
Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.Jay and Blair went fishing. Together they catch 27 fish. Jay catch 2 times as many fish as Blair. How many fish did Jay and Blair each catch. Write an equation and solve. Explain your work.
27=2J+B
you can guess and check: 27=2(9)+9
J=jay
B=blair
We can solve this using the equation 2x+x=27. The 2x represents Jay, and the x represents Blair. We can simplify the equation to 3x=27. 27/3=9. Blair caught 9 fish, and Jay caught 18 fish. I hope this helps!
Algebra problems. Can anyone help?
Answer:
Problem 1: The correct answer is B.
Problem 2: The correct answer is A.
Problem 3: The correct answer is B.
Can yall plz help!!!
Number one would be -8
Find the images of the vertices of PQR shown below, for a dilation with center (0,0) and scale factor of 2. Then graph the image.
Answer:
The images of PQR are P'=(8 , -6) , Q' = (8,6) and R' = (14 , -6)
Step-by-step explanation:
From the given graph:
the coordinates of PQR i.e,
P= (4, -3) , Q= (4,3) , R= (7,-3)
Given: the scale factor of 2 and center of dilation at origin i.e (0,0)
The mapping rule for the dilation applied to the triangle as shown below:
[tex](x, y) \rightarrow ( kx, ky)[/tex] where k represents the scale factor i.e, k=2 or we can write it as ;
[tex](x, y) \rightarrow (2x, 2y)[/tex]
For P = (4, -3)
The image P' = [tex](2\cdot 4 , 2\cdot (-3))[/tex]
⇒ P'= [tex](8, -6)[/tex]
Similarly for Q = (4, 3) and R = (7 , -3)
the image of Q' = [tex](2\cdot 4 , 2\cdot (3)) = (8 , 6)[/tex]
The image of R' = [tex](2\cdot 7 , 2\cdot (-3)) = (14 , -6)[/tex]
Now, plot the graph of PQR as shown in the attachment:
The images of the vertices of PQR are P' (8, -6), Q' (8, 6), and R' (14, -6).
A graph that shows triangle PQR and the image triangle P'Q'R is shown in the picture below.
In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image (triangle PQR) by applying a scale factor of 2 that is centered at the origin (0, 0) in order to produce the coordinates of its image as follows:
Vertices P (4, -3) → (4 × 2, -3 × 2) = P' (8, -6).
Vertices Q (4, 3) → (4 × 2, 3 × 2) = Q' (8, 6).
Vertices R (7, -3) → (7 × 2, -3 × 2) = R' (14, -6).
In concluson, we can logically deduce that the dilation is an enlargement because the size of the pre-image is smaller than the image.
Triangle XYZ slides 2 units left and 1 unit down on the coordinate plane. If the original measure of angle X was 40 degrees, what is the measure of angle X'? 30 degrees 40 degrees 60 degrees 140 degrees
Answer:40 degrees
Step-by-step explanation:
Bisector, Find the value of X
bisector cuts it into two equal sections.
2x + y = 14 + y
2x = 14 subtracted y from both sides
x = 7 divided both sides by 2
Answer: 7
A regular pentagon shares a common center with a regular hexagon. If `bar(LM)` || `bar(AB)`, across how many lines of reflection can the combined figure be reflected to map onto itself?
A. 6
B. 3
C. 1
D. 0
our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.
Therefore the line of reflection is only 1.
questioned answered by
(jacemorris04)
Blake looks at his checking account balance regularly. His three lowest balance during the year are as given. - $20 < -$12< - $ 3 select from the drop-down menus to correctly complete the statement The inequality statement shows that - $20 is a (lower or higher) which one is it Balance than -$12 and - $12 is a (Lower or higher) Which one is it balance than - $3
I believe the answers are lower and lower. -20 is lower than -12, and -12 is lower than -3
hey that is my name Blake -20 lower -12 high and -3 higher
The sum of two numbers is 21. One number is three less that the other. Find the numbers.
If you look at clue #2 first then you see that if you know one of the numbers then the other number is 3 less than it, so if I let one of the numbers be x then the other is
x - 3. Now clue # 1 says the sum of the two numbers is 21 so
x + (x - 3) = 21
12+9=21 because 12-3=9 and 9+12 is 21
What is the measure of
A store is having a sale where movies are 15 percent off their original price. A movie is on sale for $22.10. What was the original price of the movie?
the origncal price would be $26 I kinda did a guess and check but if you multiple 26 by 15% you get 3.9 and 26 minus 3.9 is 22.10
freddy drew a plan for a rectangular piece of material that he will use for a blanket. three of the vertices are (-2.6, -3.4) , (-2.6, 1.3), and (1.6, 1.3) what are the coordinates of the fourth vertx?
The coordinates of the fourth vertex of the rectangular blanket, given the vertices (-2.6, -3.4), (-2.6, 1.3), and (1.6, 1.3), are (1.6, -3.4).
Explanation:From the given coordinates of the three vertices of the rectangle, we can find that the width of the rectangle is calculated from the difference in the x-coordinates of (-2.6, 1.3) and (1.6, 1.3), which is 4.2 units (1.6 - (-2.6)). Similarly, the length of the rectangle is calculated from the difference in the y-coordinates of (-2.6, -3.4) and (-2.6, 1.3), which is 4.7 units (1.3 - (-3.4)).
To find the fourth vertex, we take the x-coordinate of the bottom left vertex (-2.6, -3.4) and add the width (4.2) to get 1.6. We then take the y-coordinate of the bottom left vertex (-2.6, -3.4) and keep it the same for the fourth vertex. So the coordinates of the fourth vertex are (1.6, -3.4).
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