Step-by-step explanation:
(4x - 1) + (-6x + 3)
Combine 4x and -6x to get -2x
-2x + 1 - 3
Subtract 3 from 1 to get -2
-2x - 2
Answer: -2x - 2
Step-by-step explanation:
Rewrite x4y2 − 2x3y3 using a common factor.
x2y(xy − 2xy2)
x2y2(x2 − 2xy)
2xy2(x2 − x2y)
2xy(x3y − x2y)
Please help me with this question! Thank you
Answer:
Step-by-step explanation:
Well it would be true for f. because all people would want orange juice or lemonade.
Please Hurry. I need this answer quickly please.
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?
Factor out the greatest common factor (GCF) using the distributive property (do not solve!).
8 + 12
Hint: Rewrite as __(__+__)
[tex]\begin{array}{r|l}8&2\\4&2\\2&2\\1\end{array}\\\\8=2^3\\\\\\\begin{array}{r|l}12&2\\6&2\\3&3\\1\end{array}\\\\12=2^2\cdot3[/tex]
Therefore, [tex]\text{gcf}(8,12)=2^2=4[/tex].
And so [tex]8+12=4(2+3)[/tex].
given these dimensions, what is the area of the trapezoid, base 5, base 3, height 3
Answer:
12
Step-by-step explanation:
5+3=8
then
8÷2=4
then
4×3=12
Answer:
12
Step-by-step explanation:
Here are some shapes to draw on a grid.
Write the letters of the two shapes that are equal in area.
.......... and......... NEED AN ANSWER ASAP PLEASE!!
Answer:
B and D
Step-by-step explanation:
C= 4 1/2
A=4
D=3 1/2
B=3 1/2
Answer:
A, D
Step-by-step explanation:
Solve the polynomial by completing the square. Show all steps of your work.
[tex]x^2-2x=3[/tex]
Solve the polynomial by completing the square. Show all steps of your work.[tex]x^2 - 2x - 63 =0[/tex]
Step-by-step explanation:
x^2-2x-63=0
x^2-x(9-7)-63=0
x^2-9x+7x-63=0
x(x-9)+7(x-9)=0
(x+7)(x-9)=0
x=-7
x=9
Answer: x = -9 and x= 7
Step-by-step explanation: By using completing the square method
= x² - 2x-63
= x² -7x+9x -63
= x(x-7)+ 9(x-7)
= (x+9) (x-7)
= x = -9 and x= 7
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
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Answer:1 to 2
2 to 4
Step-by-step explanation:
Please solve it quickly and easily.
Sandra is creating gift baskets with scented soaps and bottles of bubble bath. She has 12 scented soaps and 6 bottles of bubble bath. If she wants all the gift baskets identical without any items left over, what is the greatest number of gift baskets Sandra can make?
Answer:6 gift baskets
Step-by-step explanation:
1 of bottles of bubble bath and 2 of scented soaps in each basket.
Simplify −4r(−11r + 2r − 14).
−36r2 + 56r
−36r2 − 56r
36r2 + 56
36r2 + 56r
Answer:
-4r(-11r + 2r - 14)
Multiply -4 with all the terms inside the parenthesis
-4r*-11r = 44r^2
-4r*2r = -8r^2
-4r*-14 = 56r
Combine
44r^2 - 8r^2 + 56r
36r^2 + 56rPLS HELP WORTH 35 POINTS!!
in wich of the tables are x and y inversely proportional
A
x=1,2,3,4
y=6,3,2,1.5
B
x=2,3,5,7
y=7.5,5,3,2
C
x=1,3,4,24
y=24,8,6,1
D:
x=0.1,0.3,25,100
y=200,40,0.8,0.2
Answer:
A, C
Step-by-step explanation:
If it is inversely proportional then y = k/x
Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)
A.
6 = k/1 (k=6)
3 = k/2 (k=6)
2 = k/3 (k=6)
1.5 = k/4 (k=6)
Yes! It's the same everywhere so this is correct!
B.
7.5 = k/2 (k=15)
5 = k/3 (k=15)
3 = k/5 (k=15)
2 = k/7 (k=14)
For the last one k is not the same so nope. It is wrong.
C.
24 = k/1 (k=24)
8 = k/3 (k=24)
k = 6×4 = 24
k = 24×1 = 24
This is correct too.
D.
k = 0.1×200 = 20
k = 0.3×40 = 12
k = 0.8 × 25 = 20
We can already see that k is not the same everywhere.
Only A and C, x and y are inversely proportional for all of the values
Answer: c
Step-by-step explanation:
8h-4d/d+1
H=1/4 d=5
Evaluate the expression
Solve the polynomial by completing the square. Show all steps of your work.[tex]x^2+10x+14=-7[/tex]
Answer:
-3, - 7
Step-by-step explanation:
x² + 10x + 14 = -7
x² + 10 x + 21 = 0
Now let's complete the square.
(x + 5)² - 25 + 21 = 0
(x+5)² - 4 = 0
(x+5)² = 4
x + 5 = ± root 4 = ± 2
x = +2-5 or -2-5 = -3 or -7
The values of x that meet the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.
The given equation is: x2 + 10x + 14 = -7.
Transfer the constant term to the opposite side of the equation:
x2 + 10x + 14 + 7 = 0.
Combine comparable terms to simplify the equation: x2 + 10x + 21 = 0.
Complete the square by rewriting the equation with a constant term. To do so, square half of the coefficient of x (which is 10):
Half of ten equals five, and five squared equals twenty-five. Insert 25 into the equation:
x^2 + 10x + 25 + 21 - 25 = 0
Rearrange the terms as follows:
(x2 + 10x + 25) + (21 - 25) = 0.
Reduce the first set of brackets to a perfect square trinomial:
[tex](x + 5)^2 + (-4) = 0[/tex]
Reduce the number of constant terms:
[tex](x + 5)^2 - 4 = 0[/tex]
To find x, take the square root of both sides:
[tex]√((x + 5)^2 - 4) = √0[/tex]
Determine x: x + 5 = 4
To simplify even further, we have: x + 5 = 2
Solve for x separately:
x = -5 + 2 = -3 x = -5 - 2 = -7
As a result, the answers to the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.
Learn more about polynomial from:
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Solve the polynomial by completing the square. Show all steps of your work.[tex]2x^2 - 2x - 12 = 0[/tex]
Answer:
x = 3 x = -2
Step-by-step explanation:
2[tex]x^{2}[/tex] - 2x - 12 = 0 Divide all the way through by 2
[tex]x^{2}[/tex] -x - 6 = 0 Add 6 to both sides
[tex]x^{2}[/tex] - x = 6 Take the b value of -1 and multiply that by 1/2 and then square your answer
(-1)(1/2) = -1/2 this squared is 1/4 Add 1/4 to both sides
[tex]x^{2}[/tex] - x + 1/4 = 6 + 1/4
[tex](x -1/2)^{2}[/tex] = [tex]\frac{24}{4}[/tex] + [tex]\frac{1}{4}[/tex]
[tex](x -1/2)^{2}[/tex] = [tex]\frac{25}{4}[/tex]
[tex]\sqrt{(x -1/2)^{2} }[/tex] = ± [tex]\sqrt{\frac{25}{4} }[/tex]
x - 1/2 = ± 5/2
x = 1/2 ± 5/2
x = 1/2 + 5/2
x = 6/2 = 3
x = 1/2 - 5/2 = -4/2 = -2
