I think it is, in fact a cub.
Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4
Answer:
132
Step-by-step explanation:
The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.
y = 6x^3-6x^2-8
____
x = 2
6(2)^3-6(2)^2-8
6(8)-6(4)-8
48-24-8
24-8
16
____
x = 4
6(4)^3-6(4)^2-8
384-96-8
288-8
280
_____
280-16/4-2 = 264/2 = 132
3. Volunteer drivers are needed to bring 80 students to the championship baseball
game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6
students. The equation 40 + 6v = 80 describes the relationship between the number
of cars, c, and number of vans, v, that can transport exactly 80 students.
Select all statements that are true about the situation.
A. If 12 cars go, then 2 vans are needed.
B. c = 14 and v= 4 are a pair of solutions to the equation.
C. If 6 cars go and 11 vans go, there will be extra space.
D. 10 cars and 8 vans isn't enough to transport all the students.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
Options (B), (C) and (E) are the correct options.
Step-by-step explanation:
Equation that represents relation between the number of cars c and the number of vans v to transport 80 students is,
4c + 6v = 80
Option A.
If c = 12,
4(12) + 6(v) = 80
48 + 6v = 80
6v = 32
[tex]v=\frac{16}{3}[/tex]
Which is not equal to 2.
Therefore, Option A is incorrect.
Option B
If c = 14,
4(14) + 6(v) = 80
56 + 6v = 80
6v = 24
v = 4
Therefore, c = 14 and v = 4 is a pair of solutions.
Option B is correct.
Option C.
If c = 6 and v = 11
4(6) + 6(11) = 24 + 66
= 90
This means with 6 cars and 11 vans 90 students can be transported. Therefore, there will be extra space.
Option C is correct.
Option D.
If c = 10 and v = 8
4(10) + 6(8) = 40 + 48
= 88
Therefore, 10 cars and 8 vans are enough to transport 80 students.
So option D is incorrect.
Option E.
If c = 20,
4(20) + 6(v) = 80
80 + 6v = 80
v = 0
Therefore, for 20 cars go no vans are needed.
Option E is correct.
Option F.
Constraints in this situation,
Minimum number of cars to be used = 20
c ≥ 20
Minimum number of vans to be used = [tex]\frac{80}{6}[/tex] ≈ 14
v ≥ 14
Therefore, Option (F) is incorrect.
helpp me plzz
A.
B.
C.
D.
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)
Answer:
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085
Step-by-step explanation:
The given parameters are;
The coordinates of parallelogram RSTU are;
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are (using an online length calculator);
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is therefore;
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet is therefore;
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.
Answer: It’s C on edge
Step-by-step explanation:
Find the slope of the line that passes through the points (4,10) and (6,9)
Find each commission.
9. 2% on $1,500 in sales
Please help
Answer:
$138
Step-by-step explanation:
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam's Solution Bruno's Solution 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 times 0.621 = 77.38 kilometers. 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers. If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct? Bruno is correct. When going from a larger unit to a smaller unit you need to divide. Bruno is correct. When going from a smaller unit to a larger unit you need to divide. Sam is correct. When going from a larger unit to a smaller unit you need to multiply. Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
Sam's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.
Bruno's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.
1 kilometer = 0.621 miles.
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
We will divide a larger value by a smaller value to get the smaller units
Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
z=1+4i
Find the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.
Answer:
76.0 degrees
Step-by-step explanation:
Just got it right on the Khan Academy quiz.
becuase its kinda a lot of questions ill put a lot of points please help me with this
Answer:
what is the question that you are asking
Step-by-step explanation:
Answer:
#1
Line A is parallel to line B.
Sorry but I don't think there is a perpendicular line. Line C is y = 5/3x + 2/3 which isn't perpendicular they just cross.
#2
Again none of the lines are parallel which is kind of confusing.
Line A is perpendicular to line B.
Step-by-step explanation:
Which of the following represents a function
1
X
6
-51 8 1
1 1723 171
10.1) (3,2), (8,3), (2,2), (34)
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
what do i put? meh need help
Answer:
2/2 = 1 i think pls check
Step-by-step explanation:
4 divided by 2 = 2
and 6 divided by 3 = 2
so yea 2/2
and 2/2 = 1
Please help!! Thank you!
Answer:
a= -2
b= 1
c= 4
d=0
Step-by-step explanation:
-5 times -2 is 10.
-5 times 1 is -5.
-5 times 4 is -20.
-5 times 0 is 0.
Which of the following is the prime factored form of the lowest common denominator of 15/28-5/12?
Answer:
5/6
Step-by-step explanation:
15/28 - 5/12
LCM of 28 & 12 is 336
420 - 140
--------------
336
=280
--------
336
= 280/336
=5/6
Simplify the expression.
( I got 144, but i'm not sure)
Answer:
144 is correct
Step-by-step explanation:
13 - 1 is 12
12 times 12 = 144
144 divided by 2 is 72
72 times 2 is 144
Answer:
yes the answer is correct 144
Step-by-step explanation:
I hope this answer is correct please tell me
evaluate (2x^2+y^2)3
Answer:
8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
Step-by-step explanation:
This can be expanded using the binomial theorem or by multiplying the factors.
In case you are not aware of the theorem, will do multiplication.
Given
(2x² + y²)³ = (2x² + y²)(2x²+ y²)(2x² + y²)
Expanding the second pair of factors
Each term in the second factor is multiplied by each term in the first factor, that is
2x²(2x² + y²) + y²(2x² + y²) ← distribute both parenthesis
= 4[tex]x^{4}[/tex] + 2x²y² + 2x²y² + [tex]y^{4}[/tex] ← collect like terms
= 4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]
Now multiply this by the remaining factor (2x² + y²)
(2x² + y²)(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex])
= 2x²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) + y²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) ← distribute both parenthesis
= 8[tex]x^{6}[/tex]+ 8[tex]x^{4}[/tex]y² + 2x²[tex]y^{4}[/tex] + 4[tex]x^{4}[/tex]y² + 4x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex] ← collect like terms
= 8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
40 inches by 10 inches
10 inches by 2.5 inches
9 inches by 3 inches
7 inches by 1 inch
6.4 inches by 1.6 inches
Answer:
40 inches by 10 inches
&
6.4 inches by 1.6 inches
Step-by-step explanation:
40 inch divided by 5 in is 8 inch
10 inch divided by 5 in is 2 inch
6.4 inch x 1.25 inch is 8 inch
1.6 inch x 1.25 inch is 2 inch
∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Answer:
46 units i think... not sure tho
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(5x-5)^{\circ}∠A=(5x−5)
∘
and m\angle B=(2x+19)^{\circ}∠B=(2x+19)
∘
, then find the value of x.
Answer:
x = 8
Step-by-step explanation:
Since the angles are vertical then they are congruent, thus
5x - 5 = 2x + 19 ( subtract 2x from both sides )
3x - 5 = 19 ( add 5 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
Answer:
8
Step-by-step explanation:
5x - 5 = 2x + 19
3x - 5 = 19
3x = 24
what is the answer for the picture that is linked below?
Answer:
18%
Step-by-step explanation:
6840:38000*100 =
(6840*100):38000 =
684000:38000 = 18
Passes through (4,2) and is vertical
Answer:
the equation for the line would be x= 4
Step-by-step explanation:
vertical lines means that only the x axis will be crossed by the line
this means that if you have a point of a vertical line, you can take the x value in it to determine the equation
value of 2 when x =5
Answer:
2
Step-by-step explanation:
22. Write the word sentence as an equation. The product of negative 2 and 5 plus a number d = 14.
Answer:
(-2+5)+d=14
Step-by-step explanation:
"Product" means add
Factor completely 36x2 + 6x - 6
Answer:
78x - 6 = 72x
Step-by-step explanation:
Greatest common factor of 36 and 6 is 6.
First pull 6 out of each term:
6(6x^2 +x -1)
Now factor the polynomial :
6(3x-1)(2x+1)
A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,
what is the width of the room?
Answer:
long
Step-by-step explanation:
14ft
-2 (-6 - 7n) + 5n = 145
What is the answer
Answer:
n=7
Step-by-step explanation:
simplify it and u get
12+19n=145
19n=133
n=7
Rewrite the expressions as a product of two factors.
Rewrite expressions as a product of two factors. Translation: Factor out the GCF
a. 72 + 8
b. 55 + 11
c. 36 + 72
d. 144 − 15 (careful!)
e. 3 + 3
a. 8(9+1)
b. 11(5+1)
c. 36(2+1)
d. 3(48-5)
e. 3(1+1)
Answer:
Step-by-step explanation:
8(9t+1)
11(5a+1
36(z+2)
144(15+9)
3 (3+1)
take out the letters but this is work i did in class plz mark brainlest
Please help me answer this and the imagine might be a little Blurry just zoom in the help out. Thank you
Answer:
Step-by-step explanation:
a = 180 degrees (because they are supplementary, as it says in the given, so their two angles add up to 180 degrees
b = 180 degrees (same reasoning as above)
c = Substitution?
d = m<3
e = m<3
I'm confident with everything except for c. If anyone can fill it in for me, pls do
19 points Solve for c. 5/4c+12=2
Answer:
C= -8
Step-by-step explanation:
I used a calculator
Answer:
c=-8
Step-by-step explanation:
[tex]\frac{5}{4}c[/tex] + 12 = 2
1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)
1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the right do it to the left )
1.25c = -10
1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )
c = -8
HOPE IT HELPED