Answer:
Step-by-step explanation:
the concepts are confusing of what a function is. f(x) seems mysterious , huh
it's just a way to give a label to some set of terms. Just think of it as a name of a person, but in a generic sense, like hey "guy" or hey "gal" you can address many people that way. f(x) is doing that same thing addressing by a name, a set of math terms.
a)
in a) we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so
g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11
g(-2) = -8 -3(4) - 4 +11
g(-2) = -8 -12 -4 + 11
g(-2) = -24 + 11
g(-2) = -13
b)
h(-1) find the h(x) function and input a negative 1 where ever there is an x
h(x) =
h(-1) = [tex](-1)^{2}[/tex] - 3
h(-1) = 1 - 3
h(-1) = -2
c)
for c) just combine like terms of the two given functions
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3
g(x) - h(x) = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14
d)
-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)
-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3
-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]
-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1
e)
f(h(x)) this gets a bit more confusing b/c it's a composition of functions, that's just a fancy way of saying the functions are nested. one inside the other.
f(x) = 3x + 2
h(x) = [tex]x^{2}[/tex] - 3
plug h(x) in to f(x) where ever there is an x in f(x) , luckily there is only one x in f(x) :)
f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 7
f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)
f)
f(x) = 3x + 2
g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35
Hope that helps :)
The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
(12+9i)+(10+25i)
Simplify?
Answer:
22+34i
Step-by-step explanation:
Brainliest?
Answer:
22+34i
Step-by-step explanation:
(12+9i)+(10+25i)
12+9i+10+25i
12+10+9i+25i
22+34i
what is meant by the present value of money?
Answer:
Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.
How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.
...
Calculating Present Value Using the Formula
FV = the future value.
i = interest rate.
t = number of time periods.
Step-by-step explanation:
Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today
Step-by-step explanation:
what is 2x10^4 in standard notation
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Rearrange
C=d+2/3
to make d the subject.
Answer:
d = C - 2/3
Step-by-step explanation:
Subtract 2/3 from both sides of the equation:
C = d + 2/3
-2/3 -2/3
-----------------
C - 2/3 = d
After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
C=d + 2/3
C - 2/3 = d (subtract both side by 2/3)
or
d = C - 2/3 or
d = (3C-2)/3
Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
Thats easy C:
2 and 3 at the same time
Step-by-step explanation:
3x2=6 or if you dived 6/2=3
Also one thing when doing markup or profit(I think thats how you spell it if not im srry my spelling is very bad lol) you dived it
Have a good day :D
Which equation is written in slope-intercept form?
y = 3x-2
X=1/2y+8
2x + 5y = 12
Зу = 8x - 5
Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answer:
So happy you are with brainly
Step-by-step explanation:
34
Which value makes the equation 3x / 6 equals 36 true
Answer:
72
Step-by-step explanation:
3x/6=36
3x=36(6)
3x=216
x=216/3
x=72
180 divided by 280 is equal to?
Step-by-step explanation:
Therefore, 180/280 simplified to lowest terms is 9/14.
I hope it's helpful for you.....
Based on the scatterplot, what is a reasonable expected average selling price of skateboard in 2016?
Answer:
Last option, $58.50
Step-by-step explanation:
Let's look at the graph, and let's do a simple analysis of the information that it shows.
We can see that in 2009, the price was between $30 and $40.
We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.
Then we can only expect that a few years later (in 2016) the price to be larger than $50.
The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.
We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.
A rectangle measures 2 2/3 inches by 1 2/9 inches. What is its area?
Answer:
3.259259259259 in²
Step-by-step explanation:
Answer:
3 7/27
Step-by-step explanation:
Ok so first you do
2×1 = 2, then
2×2/9 = 4/9, then
1×2/3 = 2/3, then
2/3×2/9 = 4/27, then add all of those...
2+4/9+2/3+4/27= 3 7/27
Hope this helps!! :D
What is equivalent to -2(x-5)?
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?
Answer:
[tex] {3}^{81}[/tex] is bigger.
Step-by-step explanation:
[tex] {9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54} \\ [/tex]
If we compare the exponents of [tex] {3}^{54}[/tex] and [tex] {3}^{81}[/tex] it can be concluded that:
[tex] {3}^{81}[/tex] > [tex] {3}^{54}[/tex]
Four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=415, NDP=256, Liberal=271, and Green party = 58. Can we infer at 5% level of significance that the voter support is going to change in the next election?
For Observed I get 1000 and a 100 for the expected. The teacher says O-E always = 0???
Answer:
In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
Step-by-step explanation:
Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:
PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5
NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4
Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1
Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8
Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?
Please help
if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other
i hope that will help
There are two possible answers:
'a' is irrational and b is rational, OR'a' is rational and b is irrationalYou can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.
================================================
Explanation:
For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,
a = p/q
b = r/s
where p,q,r,s are integers. The denominators q & s cannot be zero.
Multiplying those rational numbers 'a' and b leads to
a*b = (p/q)*(r/s) = (p*r)/(q*s)
We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.
In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.
------------------------
Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.
If we have the following
a = sqrt(3)
b = sqrt(12)
then,
a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6
Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.
This doesn't always happen since something like
sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)
is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.
Therefore, we know that we can rule out the case that 'a' and b are irrational together.
------------------------
Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.
Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.
Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say
a*b = r/s
a*(p/q) = r/s
a = (r/s)*(q/p)
a = (r*q)/(s*p)
Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.
In other words, if,
'a' is rational and b is irrational, or'a' is irrational and b is rationalthen a*b = c is irrational
Can anyone help with this?
Answer:
231
Step-by-step explanation:
TB equals 90 bc it's a 90 degree angle. To get BD you need to subtract 180 and 90 bc half of a circle equals 180. Do the same to find DC but it's 180-129. Then to find TBC you add all of those together.
monika has 3 1/4 cups of rice. each sushi roll she makes required 7/16 of cup of rice to make with the rice she has how many full sushi rolls can monika make
Answer:7
Step-by-step explanation: 3 1/4 is equal to 13/4. When dividing fractions, you switch the numerator and denominator in the second fraction and change the symbol to a multiplication symbol. You then multiply straight across and then divide the top number by the bottom number. The whole number is how many times you can divide it equally
multiply the binomials (2x+1)(3x+2)
The Answer is (6x^2+7x+2)
Use the FOIL method
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
I need help on finding this answer
Answer:
I think Cube
Step-by-step explanation:
can you make a triangle with 9 in , 4 in , and 6 in
Answer:
Yes, you can make a triangle with it
Step-by-step explanation:
Given
[tex]Lengths: 9in, 4in, 6in[/tex]
Required
Do the lengths form a valid triangle
To do this, we make use of triangle inequality theorem which states that;
For sides a, b and c;
[tex]a + b > c[/tex]
[tex]b + c >a[/tex]
[tex]a + c > b[/tex]
So, we have:
[tex]9 + 4 > 6[/tex] -- true
[tex]4 + 6 > 9[/tex] -- true
[tex]6 + 9 > 4[/tex] -- true
Since all the inequalities are true, then the sides form a valid triangle
Please help me solve this! Thank you so much!
Answer:
210 is answer when bases are same. powers should be added
Step-by-step explanation:
it's basically indicesis basically in this is so it was multiplication addition rule that you use
can you help me please
Answer:
D
Step-by-step explanation:
11 1/4 divided by 3= 3.75 (3 3/4)
Answer:
d) [tex]3\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Hi there!
What we know:
- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food
- Sarah is dividing this into 3 containers
1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction
[tex]11 \frac{1}{4}[/tex]
Multiply the whole number by the denominator
11 × 4 = 44
Add 44 to the numerator
44 + 1 = 45
[tex]\frac{45}{4}[/tex]
2) Divide [tex]\frac{45}{4}[/tex] by 3
[tex]\frac{45}{4} / 3[/tex]
Dividing by a number is the same as multiplying its reciprocal
[tex]= \frac{45}{4} *\frac{1}{3}[/tex]
Multiply the numerators and the denominators
[tex]45*1 = 45\\4*3 = 12[/tex]
[tex]= \frac{45}{12}[/tex]
3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction
[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]
Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.
I hope this helps!
Find the value of x for which pll q.
JA) 9
B) 15
C) 5
D) 10
Answer:
i don't get the question
Step-by-step explanation:
solve it : x² *dy/dx = -2y
Answer:
r= -sec(θ) x ∛2
θ=0
Step-by-step explanation:
A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
on the wall does the top of the ladder reach?
Answer:
height = 26.96 feet
Step-by-step explanation:
sin 64° = height/30
0.8988 = height/30
height = 26.96 feet
X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?
Answer: 1.1
Step-by-step explanation:
Expected value is the weighted average of the various possibilities and their probability of occurring.
The probabilities represented are:
0.35, 0.35, 0.15 and 0.15.
They add up to:
= 0.35 +0.35 + 0.15 + 0.15
= 1
The possibilities are; 0, 1, 2 and 3.
Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)
= 1.1
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.
Please answer fast thank you
Answer: Y= 400 (1-0.1t)
Step-by-step explanation:
Y the value after depreciation period
400 initial value
0.1 dep rate
T time