Answer:
f(-3) = -18
Step-by-step explanation:
f(x)=2x^3+4x^2, find f(-3); let's rewrite
f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x
f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents
f(-3) = 2(-27) + 4(9); multiply and add
f(-3) = -54 + 36 = -18
The value of the function f(x) = 2x³ + 4x² at f(-3) is - 18.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x³ + 4x².
Now, The value of the function f(-3) can be obtained by replacing
x with - 3.
Therefore, f(-3) = 2(-3)³ + 4(-3)².
f(-3) = 2×-27 + 4×9.
f(-3) = - 54 + 36.
f(-3) = - 18.
learn more about functions here :
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If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
Can please someone help with this im have troubles to solve this
Answer:
f(4)=3(4)+2
=12+2
=14
f(-2)=3(-2)+2
=-6+2
= -4
Find m 5
Lines L and M are parallel
Answer:
142
Step-by-step explanation:
<38 and <6 are vertical angles so they both measure 38
<6 and <5 are same side interior angles so they add up to 180
knowing this, you can simply subtract 38 from 180 to find <5
180 - 38 = 142
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help
Answer:
your answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Answer
Answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Can somebody answer quick please!
Answer:27/2
Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2
Answer: 18 in.
Step-by-step explanation:
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Step-by-step explanation:
Given
Volume of cylinder =36π
Radius of cylinder=3cm
Volume of cylinder=πr^2h
πr^2h=36π
r^2h=36. ( π cancel from both side)
3×3×h=36
h=36/9
h=4cm
Answer:
h=4cm
Step-by-step explanation:
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
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1 2 3
4
5
6
ET Review
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Find the value of W please help due tomorrow
Answer:
59 degrees
Step-by-step explanation:
All the angles of a triangle (when combined) result in 180 degrees. This means that:
Angle 1 + angle 2 + angle 3 = 180 degrees.
We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:
31 + 90 + w = 180
w = 59
And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!
Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2
Answer:
-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4
Good Luck!!!
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.
Answer:1,2,4,6
Step-by-step explanation:
I just finished this assignment!!! Good luck and God bless.
Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)
Answer:
? = 9
Step-by-step explanation:
you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!
hope this helps!
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?
Answer:
sorry
Step-by-step explanation:
Find the slope of the line that contains (−9, 1) and (3, 6).
Answer:
5/12
Step-by-step explanation:
slope is [tex]\frac{1y-2y}{1x-2x}[/tex]
so [tex]\frac{6 - 1}{3 - (-9)}[/tex] and that is 5/12
Please mark brainliest!!! Thanks.
Write the first step you would take to solve each equation.
1. 3x + 2 = 7x
Answer:
Subtract [tex]7x[/tex]from both sides of the equation.
Step-by-step explanation:
According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.
Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26
Answer:
s = 54/31
r= -156/31
t= -17/31
Step-by-step explanation:
Select all points that do not lie on this line.
its A and B bro. Hope it helps
Please help me understand this math problem! :D
Answer:
48 cm^2
Step-by-step explanation:
First find the area of each shape.
2 triangles- [bxh]x1/2
(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12
Square- (l x w)
3 times 3 (You get the other three from the other side of the rectangle) =9
Left rectangle- (l x w)
3 times 4 = 12
Right rectangle- (l x w)
5 times 3 (You get the three from the side of the square) = 15
Total: 2 triangles Area + Square Area + Left rectangle Area+ Right rectangle Area = Surface Area
12 + 9 + 12 + 15 = 48 cm^2
Hope this helps!!
I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR
Answer: the first one would be 31.65
Step-by-step explanation:
First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655
For the third one x will equal 44.41
Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) of the function.
Similarly, Range of a function is a set of y-values (output values).
Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.
Domain → {-2, 2, 1, -2}
Range → {-1, 1, 4, 5}
Option C will be the correct option.
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?
Answer:
14:8
Step-by-step explanation:
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
slope = -2. y-intercept: (0, 0)
in slope intercept form
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Plzz help if u can plzzzz
Answer:
I think 32
I'm not sure
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
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A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
