Answers
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
Related Questions
what is 15^4/15 simplified?
Answers
Answer:
15^3
Step-by-step explanation:
Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:
15^4 / 15 = 15^3
If you layered 100000 cubes to make one big cube what would the dimensions of the big cube
Answers
Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.
Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.
Answers
Answer:
Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.
Step-by-step explanation:
18 loaves of bread × £1.4 = £25.2 Round it up = £25
£25.20 - £20 = £5.20 Round it up = £5
Stacy Made about £5 as profit.
Does anyone get this?
Answers
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c
Answers
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
If Alberto's bill is $45.47 with tax. And he wants to leave a 20% tip. How much tip will he leave? * round to the nearest dollar.
Answers
Answer:
i tried but all i got was like 80 percent
Step-by-step explanation:
Explanation:
45.57 x 0.20 = 9.094
You have to make the percent into a decimal by moving it to the front by two places
So 30% would be 0.30
5% would be 0.05 and so on
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answers
Question: Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answers
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____
Answers
Answer: 1. Add 2. Multiple both sides 3. 15
Step-by-step explanation: hope this helps
Answer: 2 = − 7
4
+ 1
4
x
1.
✔ Add
Start Fraction 7 over 4 End Fraction to both sides.
2.
✔ Multiply both sides
by 4.
The solution is x =
✔ 15
.
Step-by-step explanation: i just did it on ed
please help me with these two problems i will fail if i dont turn in this assignment
Answers
Answer:
Number 4 is neither, number 6 is perpendicular
Step-by-step explanation:
Answer:
4) Neither
Same y intercept means intersecting and intersecting is not an option
6) Perpedicular
A perpendicular line has a slope the reciprocal of each other like in this case
0.4= 2/5, 5/2=2.5
Can someone please help? I need to get this doe so I can do something important
Answers
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
A candy company makes 10,038 pieces of candy a day. If 42 pieces are put into a single bag, how many bags of candy are made in a day?
Answers
Answer:
239 bags
Step-by-step explanation:
10,03842 per bag10,038/42=239
Seems easy but this has my brain hurting.
Answers
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
7
2
2 2 3
8
0
58
9
3 7
10
0
Answers
Answer:
Wut...?
Step-by-step explanation:
Area and __________ are impacted by a __________ in dimensions.
Answers
Hey there!
The answer to your question is volume and change
The formula for volume is length x width x height, and if these change, the volume will change.
Hope it helps! Let me know if you need more help!
what is the measure of a given that b measures 100????
Answers
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Therefore B = 2A.
When B = 100°, A = 100°/2 = 50° (B),
When A = 48°, B = 2(48°) = 96°. (C)
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answers
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
Help plssss plsss???????
Answers
This year there are 260 students in the 7th grade. Next year the school expects to have 290 students. What is the percent increase?
Answers
Answer:
about 11.5
Step-by-step explanation: i think this is right
Answer:
11.538%
Step-by-step explanation:
290 - 260 /260 x 100% = 11.538
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answers
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
The length of Dwight's garde is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.
Answers
Given :
The length of Dwight's garden is 12.5 meters.
Dwight measured it but made a measurement error of 6%.
To Find :
The lowest and highest measurement Dwight could have made.
Solution :
Error in length measuring is :
[tex]\Delta \ l = 12.5\times 0.06 \\\\\Delta \ l = 0.75\ m[/tex]
Therefore, the lowest and highest measurement he could have is 12.5 - 0.75 = 11.75 meters and 12.5 + 0.75 = 13.25 meters.
Five times a number decreased by six is 29
Answers
Answer:
Let x be the number
"five times a number"
5x
"six less than five times a number"
5x-6
"is at least 29" >29 (greater than or equal too)
5x - 6 > 29
5x > 35 (add +6 to both sides retains the dense if the inequality)
x>7 (divide both sides by +7 retains the sense of Inequailty)
Check:
Is 5(7) - 6 > 29?
35 - 6 > 29 ?
29 > 29? yes, they are equal.
Try 50:
Is 5(50) - 6 > 29 ?
250 - 6 > 29?
244 > 29 ? yes
Answer:
5x - 6 = 29
HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)
Answers
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
Answers
Explanation:
6x3=18
Then find the square root of 18
=4.2
The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.
Answers
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
solve for x and find m∠FGH
Answers
Answer:
x° = 11°
Z FGI = 60°
Step-by-step explanation:
If GH bisects Z FGI
then Z FGH = Z HGI
or, (3x - 3)° = (4x - 14)°
or, 3x° - 4x° = - 14° + 3°
or, x° = 11°
Z FGI = 33° - 3° + 44° - 14°
= 60°
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answers
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Use the Distributive Property to expand this expression.
z(–6.4 – 3.5x)
Answers
Answer:
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, Option 'C' is true.
Step-by-step explanation:
Given the expression
[tex]z\left(-6.4\:-3.5x\right)[/tex]
Apply distributive law: [tex]a\left(b-c\right)=ab-ac[/tex]
Here: [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]
so the expression becomes
[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]
[tex]=-6.4z-3.5zx[/tex] ∵ [tex]+\left(-a\right)=-a[/tex]
Therefore,
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, option 'C' is true.
Given: angle 1 and angle 2 are complementary , angle 2 = 74 degrees Prove: angle 2 = 16 degrees
Answers
Answer:
I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?
Step-by-step explanation:
Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm
Answers
hope this helps!
Answer:
SU < 22 cm
Step-by-step explanation: