Answer:
(B) The function has a domain of all real numbers.
(C) The function has a range of {y|–Infinity < y < Infinity}.
(E) The function passes through the point (3, –27).
Step-by-step explanation:
The statements are true.
What is faction?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
The given function is:
f(x) = x³- 4x² - 3x + 18
After plotting its graph can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3x² - 8x - 3
As the leading coefficient is positive, the arms open up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
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look at the picture &’ help.
Step-by-step explanation:
the first option is the answer because the exponent always stands base 10 power a value or (10^n)
A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?
41 - 7 - 10 - 7 = 41 - 24 = 17.
The team scored 17 points in the last quarter.
HELP PLS HOW DO U DO THIS
Answer:
10
Step-by-step explanation:
1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.
Answer:
10
Step-by-step explanation:
24 ÷ 3 = 8 so one third is 8
24 ÷ 4 = 6 so one fourth is 6
8 + 6 = 14 (14 people brought drinks or dessert)
24 - 14 = 10
ten people brought chips.
Does someone know how to find the area of this?
Answer:
Lenthg times width
Step-by-step explanation:
The lines below are perpendicular . If the slope of the green line is 3/2 , what is the slope of the red line?
Answer:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B.
Hope this helps!
POLYNOMIALS QUESTION!!!
Answer:
The new area of the smaller rectangle is 16 - x² units²
Step-by-step explanation:
The dimensions of the small rectangles are 2 + x and 2 - x
∵ The length of the small rectangle is 2 + x units
∵ The length is adding by 2 units
∴ The new length = 2 + x + 2 = 4 + x units
∵ The width of the small rectangle is 2 - x units
∵ The width is adding by 2 units
∴ The new width = 2 - x + 2 = 4 - x units
∵ Area of the rectangle = length × width
∴ The new area of the smaller rectangle = (4 + x) × (4 - x)
→ Simplify it by multiplying the 2 brackets
∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)
∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)
→ Remember (+)(-) = (-)
∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²
→ Add the like terms
∴ (4 + x)(4 - x) = 16 - x²
∴ The new area of the smaller rectangle is 16 - x² units²
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.
Whats 2+2 tho
Cuz i uh forgot..yea
Answer:
I gotchu fam ..... 2+2=4
Select the ordered pair that represents a solution to the equation x + 4y = 35.
(0,35)
(3,8)
(3,9)
(8,3)
Which one is it?
William's bank account balances after weekly deposits are showing in the following table.
0
1
2.
3
4
Weeks
Total Balance
(5)
30
44
58
72
86
After 10 weeks, how much money would William have in his bank account? Show your work.
O A. 170
B. 140
C. 165
D. 314
Answer:
The answer is 170
Step-by-step explanation:My teacher told me... ADD ME ON TICTOC OHH.ITZJA33I
You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.
Answer: 768
Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.
Given the function g(x)=x^2+3 ,evaluate (-2,y)
Answer:
im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0
Step-by-step explanation:
Construct a line through R that is perpendicular to the line
Answer: just did it 3 secs. ago
Step-by-step explanation:
The answer is shown below.
Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.Therefore, the Construction of a line through R that is perpendicular to the line is shown below:
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In eight minutes josh was able to type 496 words what’s he typing speed per minute
Answer: 62 words per minute.
Step-by-step explanation: 496/8=62.
Answer:
62 words per minute
Step-by-step explanation:
divide 496 and 8
can someone help me!!!
Answer:
x=81
Step-by-step explanation:
Solve for x
(x+3)^2
x^2 + 3x + 2
2x^2 + 3x + 2
x^2 + 6x + 2
x^2 + 6x + 9
x^4+6x^3+35x^2+18x+9
All I can figure out sorry
Given the following function, find f(-2), f(0), and f(1).
f(x) = 5x +5
f(-2) =
Answer:
f(-2) = -5
f(0) = 5
f(1) = 10
Step-by-step explanation:
f(-2) = 5(-2) + 5 → -10 + 5 = -5
f(0) = 5(0) + 5 → 0 + 5 = 5
f(1) = 5(1) + 5 → 5 + 5 = 10
what does x equal 20 - 3x = 8
Answer:
x = -4
Step-by-step explanation:
Rewrite: -3x = -12
Divide: x = -4
Non example of complex fraction.
Answer:
42/6
Step-by-step explanation:
:P
(2+2+2+2+2) 90^5 x 50 divided by 100 ..
Answer: 5000000000..........
At the beginning of the month, Shiloh made 65 servings of trail mix. By the end of the month, she had 48 servings of trail mix left. Which equation could be used to find x, the number of servings of trail mix that had been eaten during the month?
Answer:
c
Step-by-step explanation:
Answer:
The answer is 65 - x = 48
Step-by-step explanation:
Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???
help me please!!!!!!!!!!!!!!!!!
im not for sure but Step-by-step explanation: 3,000=102938884.00919377299
Answer:
3,000=102938884.00919377299
Step-by-step explanation:
evaluate −5x+8 when x=3.
Answer:
-7
Step-by-step explanation:
-5(3) +8
-15+8
7
Answer:
plug x in
-5 (3) + 8
-15 + 8
-7
Step-by-step explanation:
3(2x+4)=-18
What is x and how do you solve
Answer:
x=1
Step-by-step explanation:
divide by 3 and then -4 and then divide by 2
In the diagram, AABC = ADEF . Find the values of x and y.
Answer:
x = 1
y = 46
Step-by-step explanation:
assuming AB = DE and angle F = angle C,
set 4x - 6 = 10", solve for x...
4x = 4, x = 1
set 14x + y = 60°, substitute 1 for x then solve for y...
14 + y = 60°, y = 46
Identify the phrase that relates to the study of geography.
A. a record of events over time and their meanings
B. the effect living and nonliving things have on each other
C. the creation and use of goods and services
D. the study of rocks and fossils
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?
Need help ASAP please ‼️‼️
Naomi is planning a holiday. The hotel costs $80 every night she stays and the flight costs $250,
She has a budget of $700 for her hotel and flight. How many nights will she be able to stay at
the hotel without going over her budget?
Answer:
5 nights
Step-by-step explanation:
# of nights= budget - flight {divided by} price per night
= 700$ - 250$ {divided by} 80$
= 450$ {divided by} 80$
= 5.6
=5 (round down)
Answer:
she will be able to stay 5 nights at the hotel
the second awnser and the third awnser.
Step-by-step explanation:
if the flight costs $250 and a night at the hotel costs $80 then 5 nights would equal $400 and then you would add the flight costs and it would equal $650. it can't be 6 nights cause she would go over her budget.
Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza
This question is incomplete because part of the information is missing; here is the complete question:
Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.
The answer to this question is $10.50
Explanation:
The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:
1. In an equation there is always an equality symbol = and mathematical expressions on both sides.
2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.
3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)
4. Solve the equation
5 (12) + 8x = 144 -Simplify using multiplication
60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol
8x = 144 - 60
8x = 84
x = 84 ÷ 8
x = 10.5
A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.
Answer:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
Step-by-step explanation:
The given letters are;
SEND
MORE
MONEY
If we are to add the first two words to get the third word, then we have;
SEND + MORE = MONEY
Where, the letters are unique digits
The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10
Therefore, S = 9
O = 0
D + E = 10 + Y
1 + N + R = 10 + E
1 + E = N
∴ 1 + N + R = 10 + E gives;
1 + 1 + E + R = 10 + E
R = 10 + E - (1 + 1 + E) = 8
R = 8
We have;
9 XXX + 108X = 10XXX
From 1 + N + R = 10 + E, we have;
1 + N + 8 = 10 + E
END + RE = NEY
E(1 + E)D + 8E = (1 + E)EY
(1 + E)EY - E(1 + E)D = 8E
10 + Y - D = E
By trial and error, we have;
If Y = 2 and D = 3, we have E = 9 which is not unique
Y = 4 and D = 3, we have E = 11 which is a double digit
Y = 2 and D = 7, we have E = 5
∴ N = 6 which is unique
Trying the combination gives;
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.