Is algebra.
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Answers
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
Related Questions
- 7th Grade Work -
Please answer with an equation that would represent the situation.
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answers
Answer:
7.75+1.25x=31.50
Step-by-step explanation:
so in the end the answer is 19
Answer:
19 refills
Step-by-step explanation:
7.75+1.25x=31.50
Subtract the 7.75 on the other side..
1.25x=23.75
Then divide 1.25 from the 23.75
So, x which is the refills equal 19
Which expression(s) result(s) in negative answer(s), when simplified?
Select ALL that apply.
-1+(-5)
2-(-4)
-3+2
+2
4+ (-2)
o 5-(-5)
06-(-1)
Answers
Question on picture!!!!!!!!
Answers
Answer:
1st option
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use (3, 8 ) , that is x = 3 when y = 8 , then
8 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
Plzzz I Need help ASAPPPPPPP
Answers
Answer:
1, 3, and 4 would be correct answers
Step-by-step explanation:
1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2
2.) -3x + 2y + 3y + 2 = -3x + 5y + 2
3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2
4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2
5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2
Hope this helps!
In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°
Answers
Answer:
A.
Step-by-step explanation:
22+(2x + 16)+90=180
combine like terms: 90+22+16=128
180-128=52
52=2x
52/2 = 2x/2
26 = x
(2*26+16) - angle B
Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?
Answers
Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to
[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]
At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= [tex]\frac{Q}{x}[/tex]
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put [tex]\frac{dQ}{dx} = 0[/tex]
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return
[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]
⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles
Answers
Answer:
D 3,704
Step-by-step explanation:
Answer:
the answer is 3,704
Step-by-step explanation:
wouldn't you just multiply 483 by so the answer is 3,704
Find the area of the triangle.
A right triangle has a base of 7 meters and a height of 6 meters.
7 m 6m
Answers
Answer:
7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
base x height x 1/2(basically just dividing by 2)
Answer:21 m2
Step-by-step explanation:
h= 6
b= 7
6x7= 42
42 divided by 2 = 21
Area= 21m
What is -3y(y-8)(2y+1)=0
Answers
Step-by-step explanation:
(-3y^2+24y)(-6y^2-3y)
open the bracket and collect the like terms
-3y^2-6y^2+24y-3y
-9y^2+21y
Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.
what is the answer?
Answers
Answer:
27
Step-by-step explanation:
he was left with no pencils
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answers
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
If "if p , then q " is the conditional statement, then "if q , then p " is the converse.
True
False
Answers
Answer:A true
Got it right in the odyssey ware
Step-by-step explanation:
As part of a survey, 150 students were asked if they eat breakfast on school days. Of these students, 45 stated they eat breakfast on school days What percentage of the students in the survey stated they eat breakfast on school days?
Answers
Answer:
30 students
Step-by-step explanation:
Total number of students = 150
Of these students, 45 stated they eat breakfast on school days.
We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :
[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]
Hence, out of 150, 30 students stated they eat breakfast on school days.
If you solve this correctly I’ll give you brainliest!
Answers
Players on a basketball team compared the total number of points they scored in a game. The results are shown on the circle
graph.
If there were 88 points scored overall, how many more points were scored by Dakota than by Rudy?
A)
16
B)
24
C)
28
D)
32
Answers
Answer: i think B
Step-by-step explanation:
88(4/11)-88(1/11)
I need help please. Whatever you can with the 1st question
Answers
In the figure, d || m. What is the value of x?
Answers
Answer:
x = 53
Step-by-step explanation:
The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.
Opposite interior angles are congruent
This means that 2x - 20 = 86
This is our equation.
We now solve for x using basic algebra
2x - 20 = 86
step 1 add 20 to each side
-20 + 20 cancels out
86 + 20 = 106
now we have 2x = 106
step 2 divide each side by 2
2x / 2 = x
106 / 2 = 53
we're left with x = 53
Independent Practice
Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.
2z3 + 12z2 – 5z – 30
A.
z2; –5
B.
2z; –5
C.
2z2; –5
D.
2z2; 5
Answers
Answer:
C.
2z2; –5
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
( z + 6 ) ( 2 z 2 − 5 )
Answer:
2z^2; –5
Step-by-step explanation:
2z3 = 2 • z • z • z 12z2
= 2 • 2 • 3 • z • z
The GCF is 2z2.
–5z3 = –1 • 5 • z • z • z
–30 = –1 • 5 • 6
The GCF is –5.
pls help with this !!!!!!!
Answers
Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.
OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
I Will Mark Brainliest
Answers
Answer:
bcd
Step-by-step explanation:
If 12 cans of cat food cost $40.00 then
how much would it cost for 60 cans ?
Answers
Answer:
$200.00
Step-by-step explanation:
because if you do a ratio:
12=40
60=?
60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200
0
100%
What is a decimal that is equivalent to the fraction 12/100?
Answers
Answer:
12%
Step-by-step explanation:
12/100
12%
Answer:
0.12
Step-by-step explanation:
divide 12 by 100 which would be moving the decimal point 2 times to the left.
Need answer FAST!! (Something is incorrect in their work but I can’t figure it out) “Charlotte’s ice skates cost $30.45 less than her skateboard. Her ice skates cost $95.28. How much did her skateboard cost?”
Answers
Answer:
Skateboard costs 125.73$
Step-by-step explanation:
A transformation is a of a figure to the or
Answers
Answer: change, position, shape
Step-by-step explanation:
PLEASE HELP ITS A TEST!!
Point A = (3, 4) Point B = (11,8)
Find the point on segment AB that is 3/4 of the distance from A to B
Answers
Answer:
b
Step-by-step explanation:
You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?
Answers
Answer:
1/6
Step-by-step explanation:
I hope it’s help
A line has this equation: y = -8x + 8,
Write an equation for the parallel line that goes through (9,7)
Answers
Y = -8x + 8
The slope will be -8
Therefore: y = -8x + b
Plug in the point
7 = -8(9) + b
7 = -72 + b, b = 79
Solution: y = -8x + 79
[tex]=======================================[/tex]
parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)
now, we are also given a point that the line passes through:
(9, 7)
we can use point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)
now, convert to slope-intercept form, if necessary:
[tex]\pmb{y-7=-8x+72}[/tex]
[tex]\pmb{y=-8x+72+7}[/tex]
[tex]\pmb{y=-8x+79}[/tex]
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.
convert 2.5 tons into pounds
Answers
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
pls help pls for brainliest
Answers
Answer:
I think the answer could be C
Step-by-step explanation:
Sorry if im wrong
Plz help! No link plz! I need to finish fast!
Answers
3/4