Answer:
5xy + 5y
Step-by-step explanation:
6xy + 3y - xy + 2y
Combine like terms, "y" can only be combined with "y", and "xy" can only be combined with "xy"
6xy + 3y - xy + 2y
5xy + 5y
what you did to solve this problem?
0.5x = 4.3
plz help me with this no one understands how to
Answer:
x=8.6
Step-by-step explanation:
0.5x=4.3
/0.5 /0.5
x=8.6
At that velocity voyager 1 would have traveled 547,500,000 kilometers in a year. Whats that in scientific notation ?
Answer: 5.475 x 10^8
Step-by-step explanation: The number has to be in between 1 and 10 so you move your decimal as many times as you need to. In this situation it is 8, so that is your power
What is the solution to this system of equations? x + 2y = 9 3x - 2y = 3 A.(3, 3) B.(3,5) C. (4, 12) D. (9,7)
9514 1404 393
Answer:
A. (3, 3)
Step-by-step explanation:
The coefficients of y are opposites, so adding the two equations will eliminate y.
(x +2y) +(3x -2y) = (9) +(3)
4x = 12 . . . simplify
x = 3 . . . . . divide by 4
Using the first equation, we can find y:
3 +2y = 9 . . . . . .substitute for x
2y = 6 . . . . . . . . subtract 3
y = 3 . . . . . . . . . . divide by 2
The solution is (x, y) = (3, 3).
_____
Additional comment
For this problem, it is easy to just try the answers. You don't have to go far to show the first answer (A) satisfies both equations.
3 + 2(3) = 9; 3(3) -2(3) = 3
Write and simplify the following expression:
The product of 5 and x multiplied by 6 less
than the product of 3 and X.
Answer:
Step-by-step explanation:
(5*x)(6-3x)=5x(6-3x) simplified
=30x-15x^2
4) Terry missed the sale on a $210 jacket. When he went to purchases it,
he jacket increased to a cost of $262.50 By what percent did the jacket
ncrease in price?
Answer:
The jacket increase by 25% in price.
Step-by-step explanation:
Given that:
Sale price of jacket = $210
New cost of jacket = $262.50
Change = New cost - Sale price
Change = 262.50 - 210 = $52.50
Percent increase = [tex]\frac{Change}{Sale\ price}*100[/tex]
Percent increase = [tex]\frac{52.50}{210}*100[/tex]
Percent increase = 0.25 * 100
Percent increase = 25%
Hence,
The jacket increase by 25% in price.
Theo Norton is age 18 his driver factor is 2.30 the family car is classified c 15 the insurance Theo has is 50000 property damage 100/300 bodily injury 50 deductible comprehensive and 50 deductible collision what is the annual premium
Answer:
$ 20,025
Step-by-step explanation:
The price of the tennis racket was 200 dollars. However, the actual price of the tennis racket was 400 dollars. What is the percent error?
Given,
The price of the tennis rocket = $200
The actual price of the tennis racket was $400
To find,
The percentage error in the price of the rocket.
Solution,
The percentage error is calculated as :
% = (final value-actual value)/actual value × 100
[tex]\%=\dfrac{400-200}{400}\times 100\\\\=50\%[/tex]
So, the percent error is 50%.
Larry can type 225 words in 3 minutes how many words can he type in 10 minutes?
Answer:
750 words in 10 minutes
Step-by-step explanation:
225÷3= 75
75×10 minutes= 750 words
Answer:
750
Step-by-step explanation:
Step 1: 225 words ÷ 3 minutes = 75 words per minute
Step 2: 75 words per minute • 10 minutes = 750 words in 10 minutes
One box of mix makes 24 cupcakes. If each person eats 5 cupcakes, how many people will 3 boxes serve?
Answer:
14.4
Step-by-step explanation:
Answer:
14 people
Step-by-step explanation:
24 x 3 = 72
72 ÷ 5 = 14.4
I guess you round that to 14, and so you would be serving a total of 14 people.
Given center C and a point P on a circle, find its equation. C(-2, 7) and P(1, 11)
A. (x - 1)2 + (y - 11)2 = 5
B. (x + 2)2 + (y - 7)2 = 5
C. (x - 1)2 + (y - 11)2 = 25
D. (x + 2)2 + (y - 7)2 = 25
The equation of a circle with center at [tex]C(-2, 7)[/tex] and Point [tex]P(1, 11)[/tex] will be [tex](x+2)^2+(y-7)^2=25[/tex] .
What is equation of a circle ?
Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
Center at [tex]C(-2, 7)[/tex]
i.e. [tex]h=-2[/tex], [tex]k=7[/tex],
And
Point [tex]P(1, 11)[/tex]
i.e. [tex]x=1[/tex], [tex]y=11[/tex]
Now,
To determine Radius of the circle;
[tex]r^2=(x-h)^2+(y-k)^2[/tex]
[tex]r^2=(1-(-2))^2+(11-7)^2[/tex]
[tex]r=\sqrt{3^2+4^2} =\sqrt{25}[/tex]
[tex]r=5[/tex]
So, radius of the circle is [tex]5[/tex] .
Now,
Equation of a circle ;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x-(-2))^2+(y-7)^2=5^2[/tex]
[tex](x+2)^2+(y-7)^2=25[/tex]
So, the Equation of a circle is [tex](x+2)^2+(y-7)^2=25[/tex] .
Hence, we can say that the equation of a circle with center at [tex]C(-2, 7)[/tex] and Point [tex]P(1, 11)[/tex] is [tex](x+2)^2+(y-7)^2=25[/tex] .
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Evaluate the expression when c=8 and d=9. 6d-c
Answer:
value of 6d - c = 46
Step-by-step explanation:
if c = 8 and d = 9
we can put the value of d and c in equation
=》6d - c
=》6×(9) - (8)
=》54 - 8
=》46
HELP HELP HELP HELP PLZ
Answer:
10
Step-by-step explanation:
What is the quotient of k
Lines a and b in the diagram are parallel. Parallel lines a and b are cut by 2 transversals. At the intersection of line a with the transversals, clockwise from top left, the angles are 45 degrees, 95 degrees, blank, blank, B, 40 degrees. At the intersection of b with a transversal, the angles are blank, A, blank, blank. At the intersection of b with the second transversal, the angles are C, blank, blank, blank. Step 1: measure of angle A = 40 degrees (alternate interior angles). Step 2: measure of angle B = 95 degrees (vertical angles). Step 3: measure of angle C = 40 degrees (corresponding angles). Shalini found the sum of the measures of the interior angles of the triangle to be 175°. She knows the sum is supposed to be 180°. What was Shalini’s error? m∠A = 45° m∠B = 85° m∠C = 45° Shalini did not add the sum of the 3 angles correctly.
Answer:
C the answer is C
Step-by-step explanation:
Answer: the other person is right its C: m∠C = 45°
Step-by-step explanation:
Factor 27b - 18.
Write your answer as a product with a whole number greater than 1.
Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy
p
p pounds of apples, assuming at least one pound is purchased.
Answer:
hmm yes
nnnnnnj
Step-by-step explanation:
bhebbnyes
for the figure below, give the following
Let A,B, and C be square invertible matrices of the same size. If C has no eigenvalue equal to -1, then (AB + ACB)^-1 is equal to:
a. B^-1 (I + C)^-1*A^-1
b. (I + C)^-1*B^-1*A^-1
c. A^-1B*(I + C)^-1
d. (I + C)^-1*BA^-1
AB + ACB = A (B + CB) = A (I + C ) B
Taking the inverse gives
(A (I + C ) B)⁻¹ = B ⁻¹ (I + C )⁻¹ A ⁻¹
so the answer is (A)
A,B, and C are square invertible matrices of the same size.The correct option is a. [tex]\(A^{-1}(I + C)^{-1}B^{-1}\)[/tex].
Given A, B, and C as square invertible matrices of the same size, we want to find [tex]\((AB + ACB)^{-1}\)[/tex].
Step 1: Factor out B from the expression inside the parentheses:
[tex]\(AB + ACB = B(A + AC)\)[/tex]
Step 2: Use the property that [tex]\((X + Y)^{-1} = Y^{-1}X^{-1}\)[/tex] for invertible matrices X and Y:
[tex]\((AB + ACB)^{-1} = (B(A + AC))^{-1} = (A + AC)^{-1}B^{-1}\)[/tex]
Step 3: Now, use the distributive property of matrix inversion, which states that [tex]\((XY)^{-1} = Y^{-1}X^{-1}\)[/tex] for invertible matrices X and Y:
[tex]\((A + AC)^{-1} = A^{-1}(I + C)^{-1}\)[/tex]
Step 4: Substitute this back into the expression from Step 2:
[tex]\((AB + ACB)^{-1} = (A + AC)^{-1}B^{-1} = A^{-1}(I + C)^{-1}B^{-1}\)[/tex]
So, the correct option is: a. [tex]\(A^{-1}(I + C)^{-1}B^{-1}\)[/tex]
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consider functions f and g
f(x)=4(x-3)^2+6
g(x)=-2(x+1)^2+4
which statements are true about the relationship between the function
1. The vertex of function g is 2 units below the vertex of function f
2. Function g opens in the opposite direction of function f
3. The vertex of function g is 4 units to the left of the vertex of function f
4. The vertex of function g is 4 units to the right of the vertex of function f
I think 1,2, 3 are correct Please verify
Answer:
1, 2, 3 are correct
Step-by-step explanation:
I got lazy and just graphed it
The correct statements are 1,2 and 3.
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function g is 2 units below the vertex of function f."
"Function opens in the opposite direction of function f."
What is the quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Here we have the two quadratic functions:
f(x) = 4(x - 3)²+ 6
g(x) = -2(x + 1)²+ 4
The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4=4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different signs. Meaning that f(x) opens upwards and g(x) opens downwards.
Hence, options 1,2 and three are correct answers.
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8d + 4 + 7f (d = 3 and f = 2)
Answer:
42
Step-by-step explanation:
8(3)+4+7(2)=24+4+14
= 42
Answer:
42? I multiplied 8 • 3 and then added 4. That gave me 28. I multiplied 7 • 2 and got 14. Finally, I added 28 + 14 and got 42
Step-by-step explanation: sorry if i’m wrong:((
what is the area of this figure
Answer:
Step-by-step explanation:
48
Answer:
142 sq ft
Step-by-step explanation:
i drew lines to separate into 3 rectangles:
- 4 x 1' rect = 4 sq ft
- 5 x 6' rect = 30 sq ft
- 6* x 18 rect = 108 sq ft
* the 6 comes from 15 - (4 + 5)
total area = 4 + 30 + 108 = 142
How do I do this?
*Look at the directions in the photo*
Answer:
[tex]Area\ of\ material\ required\ for\ the\ first\ box=384\ inches^2\\Area\ of\ material\ required\ for\ the\ second\ box=486\ inches^2\\Area\ of\ material\ required\ for\ the\ first\ box=600\ inches^2\\Total\ Area\ of\ material\ required=1470\ inches^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Diameter\ of\ the\ first\ volleyball=8\ inches \\Diameter\ of\ the\ second\ volleyball=9\ inches\\Diameter\ of\ the\ third\ volleyball= 10\ inches.\\Hence,\\We\ know\ that,\\If\ the\ side\ of\ the\ cube\ box\ is\ s, it's\ Total\ Surface\ Area\ =No.\ of\\ faces\ in\ a\ regular\ polyhedron\ *Area\ of\ each\ face\ of\ the\ polyhedron=6*s^2=6s^2\\Hence,\\Lets\ apply\ this\ equation\ in\ finding\ the\ area\ of\ material\ required\ for\ the\\ three\ cases.\\[/tex]
[tex]As\ the\ volleyball\ should\ wholly\ fit\ into\ the\ box,\ the\ diameter\ of\ the\\ volleyballs\ would\ be\ the\ side\ of\ the\ cube\ box.\\Hence,\\For\ the\ first\ volleyball,\\Diameter\ of\ the\ first\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ first\ volleyball=8\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ first\ box=6s^2=6*8*8=384\ inches^2[/tex]
[tex]For\ the\ second\ volleyball,\\Diameter\ of\ the\ second\ volleyball=9\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ second\ volleyball=9\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ second\ box=6s^2=6*9*9=486\ inches^2[/tex]
[tex]For\ the\ third\ volleyball,\\Diameter\ of\ the\ third\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ third\ volleyball=10\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ third\ box=6s^2=6*10*10=600\ inches^2[/tex]
[tex]Hence,\\If\ you\ are\ asked\ the\ Total\ Area\ to\ make\ all\ the\ boxes,\\ you\ just\ add\ them\ together.\\Hence,\\Total\ Area\ of\ Material\ required\ to\ make\ the\ three\ boxes=384+486+600=1470\ inches^2[/tex]
Answer:
I dont see it well
Step-by-step explanation:
Which number is a perfect cube?
25
36
125
300
25 is a perfect cube I believe
Answer:
125
Step-by-step explanation:
Coz,
3√125 = √5×5×5
= 5
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elaine whill not make any additional deposits to or withdrawls from her account. What will be the balance in Elaine's account at the end of 3 years. Round your answer to the nearest whole dollar
Answer:
$1,061
Step-by-step explanation:
2% of 1000 is 20.
If 2% is compounded yearly, then
year one- $1,020
year two- $1,040.40
year three- $1,061.21
Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.
Answer:
1061
Step-by-step explanation:
A boat's crew rowed 15 kilometers downstream, with the current, in 1 hours. The return trip upstream, against the current, covered the same distance, and it took 3 hours. Find the crew's rowing rate in still water.
What is the LCM of 2 and 3
The answer is 6
Answer:
6
Step-by-step explanation:
the lowest common factor is 6
Put the lowest number on left, 5/6, 2/3, 1/2
Answer:
Step-by-step explanation:
1/2 , 2/3 , 5/6
f(x)=2x-11
FIND x when f(x)= -17
Answer:
[tex]f(x) = 2x - 11 \\ f (x)= 2( - 17) - 11 \\ \\ f(x) = - 34 - 11 \\ f(x) = - 45[/tex]
Maria thinks the two expressions 2(3a-2) + 4a and 10a - 2 are equivalent. Is she correct? Explain your reasoning.
Answer:
yes they are both equal
Step-by-step explanation:
they are both equal because 2(3a-2)+4a simplified is 10a-2 because if you combine like terms you will have this result!
hope i was clear
have a good day! c:
Benny invests $960 yearly into an account that pays 8% interest, compounded
annually. Determine the amount in Benny's account after 10 years.
Answer:
$2,072.56
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r) ^ n
A = 960(1+0.08) ^ 10
A = 960(1.08)^10
A = 960(2.1589)
A = 2,072.56
Hence the amount in Benny's account after 10 years is $2,072.56
