Answers
Answer:
f(0) = 5, f(7) = 1328, f(-5) = -460
Step-by-step explanation:
[tex]f(x) = 4x^3 - 7x + 5[/tex]
We should substitute the values in the brackets into the equation to find the function's value at that x point.
[tex]f(0) = 4(0)^3 - 7(0) + 5\\\to f(0) = 5[/tex]
[tex]f(7) = 4(7)^3 - 7 \times 7 + 5\\\to f(7) = 4 \times 343 - 49 + 5\\\to f(7) = 1328[/tex]
[tex]f(-5) = 4(-5)^3 - 7(-5) + 5\\\to f(-5) = 4 \times -125 + 35 + 5\\\to f(-5) = -460[/tex]
Related Questions
f(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).
Answers
The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
What is the x-intercept of the function?The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
How to find the x-intercepts of the function?The function is given as
f(x) = cos(x)
And the interval is given as
[0, 2)
The above means that we determine the value of x when the function f(x) equals 0
So, we have
cos(x) = 0
The above equation can be solved graphically
See attachment for the graph of the function f(x) = cos(x)
In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2
Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
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Please please look at the picture and help me with this
Answers
Step-by-step explanation:
ur right because y is pumpkin 3 is the slope and x is the apple
2) An exam worth 145 points
contains 50 questions. Some of
the questions are worth two
points and some are worth five
points. How many two point
questions are on the test? How
many five point questions?
Answers
The exam has 35, 2-point questions, and 15 5-point questions solved by linear equations.
A linear equation is an equation with only one variable. It has the formula Ax + B = 0, where A and B can be any two real values, and x is an unsolved variable.
Let us assume there are x 2-points question, so there are x-50 5-points question .
Hence total no of points: 2×x+5×(50-x)=145 points
This forms a linear equation in x.
Now let us solve the linear equation in x to get the number of 2 mark questions.
2x+250-5x=145
or, -3x=-105
or, x=-105/-3
or, x=35
There are 35 2-points questions
Remaining questions 50-35=15
Hence there are 15 5-points questions.
Solving the linear equation we get 35 2 point questions and 15 5 point questions.
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Solve please it is for homework
Answers
Step-by-step explanation:
a) 4
b) 4
c) 4
d) DNE
why is that ? as there is a hollow dot in the curve exactly at x = -3, there is no defined functional value for x = -3.
but it is only this one specific dot that is excluded. so, the lim calculation can still use it for a) - c). although it changes direction there, it is still the same coming from left or from right. and therefore it is the same limit overall.
e) 1
f) -1
g) DNE
h) 1
at x = 0 the function has a jumping discontinuity. therefore, the limits are different when coming from left or from right. and because of this difference, the general limit does not exist. the functional value at x = 0 is part of the curve coming from the left.
i) 2
j) DNE
similar to a) - d). the point (but only the single point) at x = 2 is excluded from the function and has no assigned functional value. nevertheless, it can still be used for the limit calculation.
k) it is not very well to see in the picture. when coming from the right, it appears to be 3.
but it might be possible that it goes further down to 2.
l) similar to k) it is not good to see in the picture. when coming from the left, is the wild "swinging" ending at 2 ? or going back up to 3 to meet the functional curve of k) ?
I would suspect it is 3, but it could be 2.
you need to decide k) and l) when you look at your original, because the picture is too fuzzy to be sure.
Find the circumference and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. (5,3) (2,1)
Answers
The area and circumference of a circle is 40.8cm² and 22.6 cm respectively.
What is meant by a circle's circumference?
The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.AB = r = √(5-2)²+(3-1)²
r = √9 + 4
r = √13
r = 3.605
Determine the circumference
C = 2(3.14)(3.605)
C = 22.6394
Hence the circumference of the circle is 22.6 cm
Determine the area
Area = πr²
Area = 3.14 * 3.605 * 3.605
Area = 40.8cm²
Hence the area and circumference of a circle is 40.8cm² and 22.6 cm respectively.
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please help
pic provided below
what can you tell about the mean of each distribution?
Answers
The information illustrated that A. there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.
What is a mean?A mean or average is the ratio of the sum of observations to the number of observations.
For the first case:
Mean = (13*5 + 14*10 + 15*19 + 16*13 + 17*4)/75 = 10.21
For the second case:
Mean =(3*2 + 4*10 + 5*21 + 6*11 + 7*5 + 8*3)/33 = 10.48
Therefore, it should be noted that there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.
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Pls help this is super confusing
Answers
Point V is on line segment \overline{UW}
UW
. Given UV=3UV=3 and VW=6,VW=6, determine the length \overline{UW}.
UW
.
Answers
Since the point V is located on line segment UW, the length of the line segment UW is 9 units
How to determine the length of the line segment UW?From the question, we have the following parameters:
Point V is located on line segment UW
And the lengths are
UV= 3 units
VW = 6 units
Because the point V is located on line segment UW, then we have
UW = UV + VW
This gives
UW = 3 + 6
Evaluate the sum
UW = 9
Hence, the length of the line segment UW is 9 units
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The price of a coat is reduced by 15% in a sale.
If the table originally cost £80, what is it’s sale price
Answers
Answer:
68
Step-by-step explanation:
The formula for this equation is %/100 x original cost. The equation then is 15/100 x 80. Cut the zero from the 80 and 100 making the equation 15/10 x 8. divide the 15/10 which is 1.5. The final equation is 1.5 x 8 which is 12. This isnt the answer this is the price reduction which means u also have to do 80 - 12 which means the final answer is 68
Two travelers riding camels are lost in the desert, so they split up to try to find help. One traveler goes east, while the other goes north. The traveler going east goes 7 miles per hour faster than the traveler going north, and after 3 hours, they are 39 miles apart. How fast are the travelers going? Show your work.
Answers
Answer:
which one is a factor that effects temperature between Tanzania and Netherlands ?
In the past month Kiko rented six video games and three DVDs the rental price for each video game was $3.20 the rental price free to do with it was $3.70 what is the total amount the kiko spent on video game and do the rentals in the past month
Answers
The total amount the Kiko spent on video game and DVDs is $30.30
What is the relationship between rental price and total cost?
The relationship between rental price and total cost is such that the total cost of renting is determined cost per item multiplied by the number of items rented, in other words, the total amount Kiko spent on video game is the rental price of each video game multiplied by the number of video games rented
total amount Kiko spent on video game=$3.20*6
total amount Kiko spent on video game=$19.20
total amount Kiko spent on DVDs=$3.70*3
total amount Kiko spent on DVDs=$11.10
total amount Kiko spent=$19.20+$11.10
total amount Kiko spent=$30.30
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A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle.
The measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.
The largest angle is twice the smaller angle minus 30 degrees.
The sum of the triangle's interior angles is x + y + z = 180.
Which two equations represent the remaining angle relationships?
Select each correct answer.
x = y + z + 40
x, = , y, + , z, + 40
x=2z−30
x equals 2 z minus 30
x=30−2z
x equals 30 minus 2 z
x=y+z−40
x equals y plus z minus 40
x=y−z+40
Answers
The equations that represent the remaining angle relationships will be D. x=y+z−40
x equals y plus z minus 40
How to illustrate the information?It should be noted that the measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.
This will be x = y + z - 40.
Also, the sum of the triangle's interior angles is x + y + z = 180.
Therefore the correct option is D.
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Which equation does the graph of the systems of equations solve?
Answers
According to the equation does the graph of the systems of equations solve is B.
1/3x+1=2x-4 is correct.
What is Graph?A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.
According to the given data:It is evident from the graph that the two lines intersect at the location:
(3, 2).
To put it another way,
at x =3, y = 2
The point where two lines intersect is:
(x, y) = (3, 2) (3, 2).
Now,
x = 3 is the point of the x-coordinate
y = 2 is the point of the y-coordinate
Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.
(1/3)x + 1 = 2x -4
subtracting 1 from both side:
(1/3)x + 1 -1 = 2x -4 -1
We get:
(1/3)x = 2x -5
subtract 2x from both sides:
(1/3)x -2x = 2x -5 -2x
We get:
-(5/3)x = -5
on simplifying the equation we get:
x = 3
the value of x = 3
this show that the 1/3x+1=2x-4 is correct.
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Skylar is the youngest of four siblings whose ages are consecutive integers. if the sum of their ages is 70, find skylars age
Answers
Answer: 16
Step-by-step explanation:
Let Skylar is x year old
Hence, they ages is (x+1), (x+2), (x+3)
Thus,
x+(x+1)+(x+2)+(x+3)=70
x+x+1+x+2+x+3=70
4x+6=70
4x+6-6=70-6
4x=64
Divide both parts of the equation by 4:
x=16
The age of Skylar is 16.
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the ages of the siblings be x, x+1, x+2 and x+3.
and, the sum of the ages be 70.
So, x+ x+1 + x + 2 +x+ 3 = 70
4x + 6 = 70
4x = 70 - 6
4x = 64
x= 64/4
x = 16.
Then, the age of siblings be 16. 17, 18 and 19.
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7th grade!!!!
Pls show work ty :]
Will give brainliest ty!!!
Answers
5.625
I can't really show my work bc since I'm in high school we don't solve division problems on paper we use a calculator so I forgot how to do it normally
Here is a theorem: If A:B with B isn't equal to 0 and C:D with D isn't equal to 0 are equivalent, then they have the same value:A/B = C/D. This is essentially stating that if two ratios are equivalent, then their values are the same (when they have values). Can you provide any counterexamples to the theorem above?
Answers
Examples of the given theorem are [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] , [tex]\frac{4}{16} \ \& \ \frac{8}{32}[/tex] and so on .
Equivalent fractions can be defined as fractions that have different numerators and denominators but represent the same value. Two or more fractions are said to be equivalent if they simplify to the same fraction. Equivalent fractions are fractions that have the same value regardless of the numerator and denominator.For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.According to the theorem .
if two ratios are equivalent, then their values are the same .
Let one ratio be [tex]\frac{2}{4}[/tex] and other be [tex]\frac{3}{6}[/tex] .
On simplifying and equating these ratios , we get
[tex]\frac{2}{4} =\frac{3}{6} \\\\\frac{1}{2} =\frac{1}{2}[/tex]
As the ration is same hence [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] are equivalent fractions .
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Help! I'm confused with this. Hurry!!! I have to turn it tomorrow
Answers
50.00
-36.85
=13.15
Answer:
Do 50.00-36.85 and boom ur answer
A moped travel 25 miles in two hours at this rate how many miles with the moped travel in 1/2 hour
Answers
Moped travels a distance of 6.25 miles in 1/2 hours at the given rate.
What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over").The moped travels 25 miles in 2 hours.
So, distance traveled in 1 hour: 25/2 = 12.5 milesThen, the distance traveled in 1/2 hours that is 30 minutes: 12.5/2 = 6.25 milesTherefore, a Moped travels a distance of 6.25 miles in 1/2 hours at the given rate.
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Evaluate the function.
f(x)=-x²-8
Find f(4)
Answers
Answer: 8
Step-by-step explanation:
The answer is 8 because you simply replace x with 8.
f(8)=-4^2-8
-4 times -4 equals 16 and then you do 16-8 which is 8. The answer is 8.
Answer:
give brainliest to other person, I read the question wrong lol
Even has 532 blocks.He divides them into 46 boxes. What is the quotent?
Answers
Answer:
532/46=11.565217
Step-by-step explanation:
i think its help u
Answer:
11.57 or 11 is the quotient. This depends if hundredths can allowed or not.
Step-by-step explanation:
Even would take the 532 blocks and divide it by 46 thus getting 11.565...
Hopefully this helped! Take a break and have a great day! :D
2. Choose Yes or No to tell if the Distributive
Property is being used.
2a. 4 x (2+3)=
4x244x3
2b. (4+5) x2 =
4x2+5X2
2c. 2x4=
2x (3+1)
2d. 7 x (5-2)=
7x5-7x2
O Yes No
O Yes O No
O Yes O No
O Yes O No
Answers
Answer: Yes
Step-by-step explanation:
Is 0.375 rational or irrational
Answers
0.375 is a rational numbers.
What are rational numbers?A rational number is any number that can be expressed as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, where the denominator of the fraction is not equal to zero.
0.375 can be written as a fraction.
0.375 = 375/1000
Therefore 0.375 is a rational number.
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For ()=‾‾√, use the values of (144) and (169) to estimate the value of 155‾‾‾‾√.
Answers
The square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
What is a compound inequality?A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.
The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.Hence one example of a compound inequality is:
a ≤ x ≤ b.
Which is read as follows:
x is greater or equal than a and less or equal than b.
For this problem, we have that:
12² = 144, hence sqrt(144) = 12.13³ = 169, hence sqrt(169) = 13.Considering that 155 is between 144 and 169, and the square root function is increasing over it's entire domain, the square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
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What porcent of 96 is 36?
Answers
Explanation: 36 is 37.5% of 96
A triangle has the exterior angle measures(-9x+13), (-2x+3) and (-10x+8)
Find the value of X
Answers
Answer:
x = -16
Step-by-step explanation:
An exterior angle of a triangle is the angle formed when one side is extended.
The sum of all exterior angles is 360°
Since the 3 exterior angles are given in terms of x we can add them up, set the sum to 360 and solve for x
Adding we get
-9x + 13
-2x + 3
-10x + 8
_________
-21x + 24
_________
∴ -21x + 24 = 360
Subtract 24 from both sides:
-21x = 360-24
-21x = 336
Divide both sides by -21
-21x/-21 = 336/-21
x = -16
Hope that helps. Please ask if you need any more explanation
Please Hurry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The prepositional phrases that are in the sentences include:
In his hands.
To cheer
To the pinata.
With candy.
What is a preposition?To indicate direction, time, place, location, spatial relationships, or to introduce an object, a preposition is a word or set of words used before a noun, pronoun, or noun phrase. Prepositions include phrases like "in," "at," "on," "of," and "to."
Prepositions, their objects, and any words used to modify the objects make up a prepositional phrase. A prepositional phrase usually modifies a verb or a noun.
Therefore, the prepositional phrases that are in the sentences include:
In his hands.
To cheer
To the pinata.
With candy.
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Find an expression for the perimeter of the figure.
Answers
Answer:
10z+20
Step-by-step explanation:
The perimeter is the sum of all the side lengths. Starting at the top left corner and going clockwise:
2z+z+5+10+5+z+2z+4z
Combine like terms
2z+z+z+2z+4z+5+5+10
10z+20
Answer:
16z+10
Step-by-step explanation:
The explanation is in the attached file below
Simplify the expression: 6 + 2(3d² + 4) − d²
Answers
5d^2 + 14
Step-by-step explanation:Distribute6 + 2(3d^2+4) -1d^2
Add the numbers14 + 5d^2
Rearrange terms5d^2 + 14
Sol. : 5d^2 + 14
What is $20 for 8 bottles as a unit rate
Answers
Answer:
$2.50
Step-by-step explanation:
20 ÷ 8 = 2.50
What is the total distance that two people travel in 3 h if one of them is riding a bike at 17 mi/h and the other is walking at 2 mi/h?
Answers
Answer:
the one riding a bike went a total distance of 51 miles and the person walking went 6 miles
Step-by-step explanation:
17 x 3 = 51
2 x 3 = 6