Answer:
f(2) = 7
Step-by-step explanation:
Solve for f(-2) in f(x) = 3x + 1
x = -2
Plug in -2 for x in the equation:
f(2) = 3(2) + 1
Remember to follow PEMDAS. First, solve the multiplication, then add:
3 * 2 = 6
6 + 1 = 7
f(2) = 7 is your answer.
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Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf f (x)=3x+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=3 (-2)+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-6+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-5[/tex]
if [tex]x\leq cy+D[/tex], solve for y in terms of x, c and d? (c>0)
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[tex]x \leqslant cy + D[/tex]
Subtract sides D
[tex]x - D \leqslant cy + D - D[/tex]
[tex]x - D \leqslant cy[/tex]
Divide sides by c
[tex] \frac{x - D }{c} \leqslant \frac{cy}{c} \\ [/tex]
[tex] \frac{x -D}{c} \leqslant y \\ [/tex]
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Suppose the difference between actual and predicted weekly sales of a company follows a uniform distribution between -$4000 and $4000. Determine the probability that the actual sale is within $1500 of the predicted sale (which means P(-1500
Answer: 0.375
Step-by-step explanation:
Given: The difference between actual and predicted weekly sales of a company follows a uniform distribution between -$4000 and $4000.
Probability density function: [tex]f(x)=\dfrac{1}{b-a}=\dfrac{1}{4000-(-4000)}=\dfrac{1}{8000}[/tex]
The probability that the actual sale is within $1500 of the predicted sale = [tex]\int^{1500}_{-1500}f(x)dx=\int^{1500}_{-1500}\dfrac{1}{8000}dx=\dfrac{1}{8000}[x]^{1500}_{-1500}\\\\= \dfrac{1}{8000}(1500-(-1500))\\\\= \dfrac{1}{8000}(3000)=0.375[/tex]
Hence, Required probability =0.375
Solve for x? -10x-(-4)=14
Q: -10x-(-4)=14
A: x=-1
Process:
-Subtracting a negative is just like adding 10x+4=14
-Subtract 4 from both sides -10x=10
Divide -10 from both sides x=-1
4- Employees at a certain company currently have to pay 7% of their health care costs,
while the company pays the rest. Next year, however, employees will have to pay 14%
of their health care costs. Express this change as:
absolute change (in percentage points) =
relative change =
Answer:
The absolute change would be 3 percentage points.
The relative change would be 100%
Step-by-step explanation:
A polynomial, P(x) = x2 + 2x + k has (x – 2) as a factor. What is
the value of k?
Answer:
x-2 =0
x=2
now
putting the x value in p
we have,
p(2) = x2 + 2x +k
= 2×2 +2×2+k
= 4+4+k
= 8+k
so,
Either
8+k =0
k= - 8
How much is 0 x , where x is any non-zero number? How much is 0 x for any positive power of x? How much is 0 0 ? Explain.
Answer:
Step-by-step explanation:
The value X° where x is non zero number will give a value of 1 because any value raise to the power of zero gives 1.
For example if X = 2, 2° = 1
For the expression 0^x, this will result into zero for any positive power of x. Let x be 3 for example,
0³ = 0×0×0
0³ = 0
Also if x = 4
0⁴ = 0×0×0×0 = 0
Therefore, no matter the value of x, rge value 0^x will return back zero.
For 0^0 this value is an indeterminate function i.e we cannot determine the the value. The value cannot return Amy positive or negative real number on the number line. Hence 0^0 is indeterminate.
You purchase 3 items for $4.23. About how much did you spend?
Answer:
4.23 rounded to the nearest whole number is 4.
Answer:
4.23 2.115 per item
Step-by-step explanation:
I WILL AWARD EXTRA 50 POINTS AND BRAINLIEST
Raise the monomial to a power:
5x2y3 to the power of 2
–4ax3 to the power of 3
–2m3n2t the power of 4
–a2bc3 to the power of 5
Answer
1. 52x4y6
2. −2 2 ax 27
3.-2m3n2t4
4.−a 2 bc 243
I dont have an explination sorry
and maybe no spaces
Sarah babysat for 3 hours and earned $24. At this rate, how much money will Sarah earn if she babysits for 8 hours?
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A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using The population standard deviation is known to be 5 and the population distribution is normal.
Complete Question
A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using α=0.01. The population standard deviation is known to be 5 and the population distribution is normal.
[tex]H_o: \mu =28[/tex] versus H1: μ>28.
Round your answers to two decimal places.
[tex]z_{critical} =[/tex]
Answer:
[tex]z_{critical} = 2.33[/tex]
The observed value is [tex] z = 4.27 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 114
The sample mean is [tex]\= x = 30[/tex]
The significance level is [tex]\alpha = 0.01[/tex]
The population standard deviation is [tex]\sigma = 5[/tex]
The null hypothesis is [tex]H_o: \mu =28[/tex]
The alternative hypothesis is H1: μ>28.
Generally the test statistics (observed value ) is mathematically represented as
[tex] z = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } } [/tex]
=> [tex] z = \frac{ 30- 28 }{ \frac{5}{\sqrt{114} } } [/tex]
=> [tex] z = 4.27 [/tex]
From the normal distribution table the critical value of [tex]\alpha = 0.01[/tex] is
[tex]z_{critical} = 2.33[/tex]
Imaginary Numbers (File attached)
Use the graph of the line to answer the questions.
What is an equation of the line in point-slope form?
y-1=3(x+0)
y-0=3(x-1)
y+1=(1/3)(x+2)
y+2=(1/3)(x+1)
How can the point-slope form be written in function notation?
f(x)=(1/3)x-(5/3)
f(x)=(1/3)x-(1/3)
f(x)=3x-3
f(x)=3x+1
Answer: Use the graph of the line to answer the questions.
What is an equation of the line in point-slope form?
✔ y + 1 = (1/3)(x + 2)
How can the point-slope form be written in function notation?
✔ f(x) = (1/3)x – (1
Eve saw 715 cars in her front yard. 2/5 of the cats were black. How many black cats were in Eves front yard.
how to get domain and range from a table of values.
Answer: The domain is all of the possible values for the input (x) axis. The range is the possible values for the output (y).
Step-by-step explanation: You will have to subtract the least value from the greatest value for both your x and y.
Help with number 1 please
Answer:
you could stay there 6 nights
Step-by-step explanation:
to solve this you would do 825$ ÷ by the amout which is 134$ and then you get 6.15671641791 then you would round it which give you 6 nights.
find the value of X and Y if (2x + 3) + i(x – 2y) = 5 – 7i
Answer:
x = 1, y = 4
Step-by-step explanation:
Given
(2x + 3) + i(x - 2y) = 5 - 7i
Equate the real parts on both sides
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Equate the coefficients of the imaginary terms
x - 2y = - 7 , that is
1 - 2y = - 7 ( subtract 1 from both sides )
- 2y = - 8 ( divide both sides by - 4 )
y = 4
It has been debated for years as to whether or not Descartes's Rule of Signs is helpful when working with Polynomial Functions. In your own words:
a) explain the purpose in using Descartes's Rule of Signs
b) state whether or not you think it is helpful or simply a waste of time, then explain your answer.
Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9382:
a. 1.8
b. 1.54
c. 2.1
d. 1.77
Answer: 1.54
Step-by-step explanation:
Given that :
Z = normal random variable
Area to the left of z = 0.9382
For a random normal distribution ;
P(Z < x) = 0.9382
Using the Z table (standard normal distribution table) ;
Locating the probability value (0.9382) on the table and picking the intersecting z value both horizontally and vertically :
Horizontal value = 1.5
Vertical value = 0.04
Horizontal + vertical = (1.5 + 0.04) = 1.54
What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:
-4
4
1
2
Answer: 4
Step-by-step explanation: Brainliest plz!!
Which best explains the forces acting on the objects?
Answer:
this answer is not avaliable because i didnt have any options.
Step-by-step explanation:
Answer:
The answer is B: Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
Step-by-step explanation:
what is i^30
Math is killing me and i have no real help someone save me!!! I cant even start to understands this concept so if you could explain and give the answer that'd be great bunch of points if you do!!!
Answer:-1
Step-by-step explanation: It’s seen as a pattern going back and forth between a few answers.
Answer:
It's -1.
Step-by-step explanation:
i has no value but if you multiply it by itself 30 times you get -1. Imaginary numbers are great, I know.
649+n= 700 +27
295-38 =n-24
Question 1
[tex]649+n=700+27\\ \\649+n=727\\ \\ n=\boxed{78}[/tex]
Question 2
[tex]295-38=n-24\\\\257=n-24\\\\n=\boxed{281}[/tex]
At the end of every month, Michael deposits $70 into his savings account. After 11 months, Michael's account had a total of $1250. Which of these equations expresses the amount y Michael has in his savings account after x months?
Answers:
y=70x
y−11=70(x−1250)
y−1250=70(x−11)
y=70x+1250
Answer:
the first one makes the most sense
Step-by-step explanation:
the others would equal to much but the first one would not
What is 34.567 rounded to the tenths place
Answer:
34.57 I'm pretty sure yayyy
Answer:
34.567 rounded to tenths is 34.6
Step-by-step explanation:
because if you look at the number to the right it five or more so you raise the score and the five turns to a 6 so 34.567 = 34.6
What is the correct value of d?
PLZZZ HELPS ME I WILL GIVE BRAINLIEST!
Which relations are functions?
Select Function or Not a function for each graph.
Answer: The first 3 are functions. The last one is not a function
Step-by-step explanation: What you can do is the line test. If you draw a line through it, the line shouldn't touch the arrow twice. Like the last one, it touches the line twice, so it is not a function
Two angles are complementary, as shown in the diagram below.
xº
15°
Part A: Use the definition of complementary angles to set up an equation that can be used to solve for the value of c.
Part B: Solve for the value of x. In your final answer, include all of your calculations.
Answer:
A; x + 15 = 90
B: x = 75
Step-by-step explanation:
A: complementary angles are angles that add up to 90 degrees. This means that x and 15, the two angles that are complementary, will add up to 90:
x + 15 = 90
B: For B, you just need to solve the equation for x:
1. x + 15 = 90
2. x = 75
Step 1 is the given equation
In step 2, 15 was subtracted from both sides
Translate the phrase into an algebraic expression.
y more than 4
Answer:
y+4
Step-by-step explanation:
NEED HELP WITH MATH! Will Give Brainliest! Image is below.
The answer is number 4. x=1 x=2 x=-2
find the value of x !!!!
