Answer:
48: D ([tex]10u^3+4u^2-2u+10[/tex])
[tex]\left(4u^3+4u^2+2\right)+\left(6u^3-2u+8\right)[/tex]
Remove brackets:
[tex]4u^3+4u^2+2+6u^3-2u+8[/tex]
Group the similar terms together:
[tex]4u^3+6u^3+4u^2-2u+2+8[/tex]
Add/Subtract:
[tex]10u^3+4u^2-2u+10[/tex]
49: A. ([tex]2x\left(x^2+2x+4\right)[/tex])
[tex]2x^3+4x^2+8x[/tex]
Factor out 2x:
[tex]2x\left(x^2+2x+4\right)[/tex]
50: C. ([tex]8x^2+26x+15[/tex])
[tex]\left(4x+3\right)\left(2x+5\right)[/tex]
Use FOIL:
[tex]4x* \:2x+4x* \:5+3* \:2x+3* \:5[/tex]
[tex]8x^2+20x+6x+15[/tex]
[tex]8x^2+26x+15[/tex]
51: B. ([tex]8n^3+6n^2-4n-20[/tex])
[tex]\left(2n^2+4n+4\right)\left(4n-5\right)[/tex]
Expand:
[tex]2n^2* \:4n+2n^2\left(-5\right)+4n* \:4n+4n\left(-5\right)+4* \:4n+4\left(-5\right)[/tex]
[tex]8n^3-10n^2+16n^2-20n+16n-20[/tex]
[tex]8n^3+6n^2-20n+16n-20[/tex]
[tex]8n^3+6n^2-4n-20[/tex]
52: D. [tex](d+9)(d+1)[/tex]
You can factor by grouping:
[tex]d^2+10d+9[/tex]
[tex]\left(d^2+d\right)+\left(9d+9\right)[/tex]
[tex]d\left(d+1\right)+9\left(d+1\right)[/tex]
[tex](d+9)(d+1)[/tex]
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-4,8) and parallel to the line whose equation is 3x-8y-7=0
Step-by-step explanation:
Hey there!
The equation of a st.line passing through point is;
(y - 8) = m1(x+4).........(i).
And another equation is;
3x - 8y - 7 =0.......(ii)
From equation (ii), we get;
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 3}{ - 8} [/tex]
Therefore the slope is 3/8.
As they are parallel lines, their slopes are eaual.
i.e m1 = m2 = 3/8.
Putting value of slope (m1) in equation (i).
[tex](y - 8) = \frac{3}{8} (x + 4)[/tex]
Simplify them to get equation.
[tex]8(y - 8 ) = 3x + 12[/tex]
[tex]8y - 64 = 3x + 12[/tex]
[tex]3x - 8y + 12 + 64 = 0[/tex]
[tex]3x - 8y + 76 = 0[/tex]
Therefore therequired equation is 3x - 8y +76=0.
Hope it helps...
is all negative numbers intergers ?
Answer:
Yes. Intergers are all whole numbers so negative whole numbers are included too.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
because an integer is all whole numbers and their opposites
Given two sequences
A) 3, 5, 7, 9, 11....
B) 3, 6, 12, 24...
Write the nth term of the above each sequence
Answer:
[See Below]
Step-by-step explanation:
✦ Given that [tex]y=x+2[/tex] the next numbers would be:
✧ [tex]13[/tex]
✧ [tex]15[/tex]
✧ [tex]17[/tex]
✧ [tex]19[/tex]
✦ Given that [tex]y=x+x[/tex] the next numbers would be:
✧ [tex]48[/tex]
✧ [tex]96[/tex]
✧ [tex]192[/tex]
✧ [tex]384[/tex]
✧ [tex]768[/tex]
~Hope this helps Mate. If you need anything fell free to message me.
You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece which is 6 3/8 inches long. How long will the rod be after you cut those pieces to give to Carlos and Amanda?
Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
Answer:
9 3/8
Step-by-step explanation:
Simplify (x^5/x^2)^2 . Explain your steps.
Answer:
[tex]x^6[/tex]
Step-by-step explanation:
[tex]\left(\frac{x^5}{x^2}\right)^2[/tex]
[tex]\frac{\left(x^5\right)^2}{\left(x^2\right)^2}[/tex]
[tex]\frac{x^{10}}{x^4}[/tex]
[tex]x^{10-4}[/tex]
[tex]x^6[/tex]
If f(x)=ln x and g(x)=e^x+1 find f(g(2))-g(f(e)) please help!!
Answer:
ln (e^2 + 1) - (e+ 1)Step-by-step explanation:
Given f(x) = ln and g(x) = e^x + 1 to get f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).
For f(g(x));
f(g(x)) = f(e^x + 1)
substitute x for e^x + 1 in f(x)
f(g(x)) = ln (e^x + 1)
f(g(2)) = ln (e^2 + 1)
For g(f(x));
g(f(x)) = g(ln x)
substitute x for ln x in g(x)
g(f(x)) = e^lnx + 1
g(f(x)) = x+1
g(f(e)) = e+1
f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)
what is a perfect square trinomial and can you provide an example
A perfect square trinomial is a trinomial that factors as two identical binomials.
For example, x² + 8x + 16 factors as (x + 4)(x + 4) or (x + 4)².
Another example would be x² - 12x - 36 which factors as (x - 6)².
What is the perimeter of a square rug to the nearest tenth if the total area of the rug is 96 feet2? Round your answer to the nearest tenth.
Answer:
PERIMETER=4a
a=side
PERIMETER=4*96
PERIMETER=384 feet square
or 384 feet square rounded to nearest tenth is 400 feet square
Step-by-step explanation:
hope it help ^_^
Porfavor alguien me dice cuanto es esto 3×?=20
Answer:
6.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
Que no se te olvide el punto
Answer:
es imposible
Step-by-step explanation:
3x7=21
se va por uno
find the slope between the following points (3, -4) (-2, 6)
m = -2
I hope this helps you! Have a great day!
How do you divide decimals.
Answer:
we need to shift decimal then divide
Step-by-step explanation:
First we move the divisor (if its a decimal) to the right until there is no more dot. If your dividend is also a decimal you also need to move it to the right how many spaces you moved the divisor's.
Example:
923.56 ÷ 4.5
This means that we move the dot between 4 and 5 once. We do the same to 923.56.
This means our division problem will be
9235.6 ÷ 45.
Now just do the problem normally as you should.
Suppose R is plotted in the above coordinate plane and is collinear with A and B. If the ratio AR: AB is 1/3, then what are the coordinates of R?
Answer:
=-4/2
Step-by-step explanation:
xp=x1 +k (x2-x1)
=-3+1/3 (2- -3)
=-3 + 1/3 (5/1)
= -3 + 5/3
= -9/3 +5/3
= -4/2
sorry it doesnt look the best :)
Answer:
(3,2.4)
Step-by-step explanation:
add rational numbers 3.64+3/5
Answer:
It’s 4.24 but does it need to be rounded?
Step-by-step explanation:
9. The sum of two consecutive integers is 41 less than
four times the larger. Find the numbers.
Answer:
19 and 20
Step-by-step explanation:
Let x be the larger number
x - 1 + x = 4x - 41
We can combine like terms and isolate x:
2x - 1 = 4x - 41
2x = 40
x = 20
20 - 1 = 19
The formula P=2(l + w)relates the perimeter P, in decimeters, with the length and width of a rectangle.
Solve the formula for w.
1.w=2P-L
2.w=P/2+L
3.w=P/2-L
4.w=2P+L
Answer:
3. w=P/2-L
Step-by-step explanation:
Given formula:
P=2(l + w)Solving for w:
P=2(l + w)P/2 = 2(l + w)/2P/2 = l + wP/2 - l = l + w - lP/2 - l = ww = P/2 - lCorrect answer choice is:
3. w=P/2-LF is between E and G,EF=7 and FG=6. Find EG
Simplify (x^3/x^2)^2 . Explain your steps.
Answer:
Step-by-step explanation:
(x^3
x^2)^2
X³ )²
X²
X³*²
X²*²
X ⁶
X⁴
X ⁶-⁴ = X²
What is -1 29/40 as a decimal ? - show work plz:(
Answer:
Step-by-step explanation:
A mixed number is an addition of its whole and fractional parts.
−(1 + 29/40)
Add
1 and 29/40
Write 1 as a fraction with a common denominator.
−(40/40 + 29/40)
Combine the numerators over the common denominator.
−40+29/40
Add 40 and 29
−69/40
The result can be shown in multiple forms.
Exact Form:−69/40
Decimal Form:−1.725
Mixed Number Form:−1 29/40
Answer:
I DONT CARE
Step-by-step explanation:
What is the volume of a rectangular prism 11 inches long, 6 inches wide and 3 inches high
Answer: 198 sq. in.
Step-by-step explanation: 11x6x3=198
1. What is distributive property?
2. When must you use the distributive property?
3. Name the steps in solving multi-step equations with parenthesis. Show an example.
Please help me with those three
Megan bought 3 pounds of apples that cost x dollars per pound. She gave the cashier a 20-dollar bill.
Which equation could Megan use to find the amount of change, y, she should receive?
Answer:
20/(3x)=
Step-by-step explanation: I know for sure this is right!!
x and y
are supplementary angles. y
measures 156
What is the measure of a?
Supplementary angles need to add up to 180 degrees.
Subtract Y from 180:
X = 180 - 156 = 24
X = 24 degrees
-3 x -6 = 9
[tex] - 3 \times - 6[/tex]
3 × 6 = 9
negative times a negative equals a positive so it would be positive 9 not negative 9
Solve the inequality and write the solution in interval notation:
k/-12 ≤ 15.
Which list of fractions is in order from smallest to largest? A.1/2, 1/6, 1/3, B. 1/6, 1/3, 1/2, C. 1/6, 1/2, 1/3 D. 1/3, 1/3, 1/6
Answer:B 1/6,1/3,1/2
Step-by-step explanation:
1/6= 0.167, 1/3= 0.33, 1/2= 0.5
I'm sure that the answer is B. 1/6, 1/3, 1/2 :)
How can a line of best fit be useful?
Answer:
Step-by-step explanation: i dont get what your trying to say, is this math?
Constance earns $10.00 per hour. Her benefits package is equal to 18 percent of her hourly wages. Constance works a 35-hour work week.
How much does Constance earn in a week without benefits?
1/2h+1/3(h-6)=5/6h+2
Hey there! I'm happy to help!
First we use the distributive property to undo the parentheses.
1/2h+1/3h-2=5/6h+2
We combien like terms.
5/6h-2=5/6h+2
We subtract 5/6 h from both sides.
-2=2
There are no solutions because this equation is not true so therefore no possible x value can satisfy it.
Have a wonderful day! :D
Derek buys two submarine sandwiches for an after-school party. One sandwich is 18 inches long and the other sandwich is 12 inches long. Derek wants to cut servings of the same length from both sandwiches without having any sandwich left over. what is the greatest length serving that Derek can cut
Answer:
6 in
Step-by-step explanation:
18/3=6
12/2=6
So, total 5 pieces of 6 inches of length
!!20 POINTS!!
Lucy can buy up to 12 pencils at the store. The cost of the pencils is shown in
the graph. What is the domain?
Answer:
th domain is 6$ dollar and c . all whole numbers from 0 to 12