Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
What is the slope and y-intercept of this line?
y=−12x+7
slope: 12, y-intercept: −7
slope: −7, y-intercept: −12
slope: −12, y-intercept: 7
slope: 7, y-intercept: −12
Answer:
(c) slope: -12, y-intercept: 7
Step-by-step explanation:
The given equation is in the slope-intercept form:
y = mx +b
In this form, m is the slope, and b is the y-intercept.
__
Comparing the given equation to the form, we see ...
y = mx +b
y = -12x +7 ⇒ m = -12, b = 7
The slope is -12; the y-intercept is 7.
in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?
Answer:
im pretty sure its 2.25...
Step-by-step explanation:
hope this helps:)
Use the picture attached.
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
2
D.
0
Answer: look honestly I am not sure but Probably it is choice c which is 2 lines of symmetry .
Step-by-step explanation: 2 lines of symmetry because one line is horizontal and the other is vertical . One line will be in the middle of the flower which is vertical and the other line is horizontal as they will make equivalent sides . HOPE IT HELPS BUDDY .
What is the value of n?
A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit , in dollars, must be p(x) = 100 - x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000 + 2x. a. Express the total revenue function R as a function of x. b. Express the total profit P as a function of x. c. How many units must the company produce and sell in order to maximize profit d. What is the maximum profit? e. What price per unit must be charged in order to make this maximum profit .
Answer: See below
Step-by-step explanation:
a)
[tex]$$The total revenue R(x) is obtained as:\begin{align*} R\left( x \right) &= xp\left( x \right)\\ &= x\left( {100 - x} \right)\\ &= 100x - {x^2} &$$$ R(x) = 100x - {x^2} \end{align*}[/tex]
[tex]$$Thus, {R\left( x \right) = 100x - {x^2}[/tex]
b)
[tex]$$The total profit is obtained as: \begin{align*} P\left( x \right) &= R\left( x \right) - C\left( x \right)\\ &= 1000x - {x^2} - 3000 - 20x\\ &= - {x^2} + 980x - 3000 \end{align*}[/tex]
[tex]$$Hence, P\left( x \right) = - {x^2} + 980x - 3000[/tex]
c)
[tex]$$For maximum profit dP/dx should be equal to zero: \begin{align*} \dfrac{{dP}}{{dx}} &= 0\\ - 2x + 980 &= 0\\ x &= 490 \end{align*}[/tex]
[tex]$$So, the required units to maximize profit is 490[/tex]
d)
[tex]$$The maximum profit is calculated as: \begin{align*} P\left( x \right) &= - {x^2} + 980x - 3000\\ P\left( {490} \right) &= - {490^2} + 980 \times 490 - 3000\\ &= 237100 \end{align*}[/tex]
[tex]$$Accordingly, the maximum profit is \$237100.[/tex]
e)
[tex]$$Calculating the price at maximum profit as: \begin{align*} p\left( x \right) &= 1000 - x\\ p\left( {490} \right) &= 1000 - 490\\ &= 510 \end{align*}[/tex]
[tex]$$Consequently, the price at the maximum profit is \$510.[/tex]
I need help ASAP!!!! Worth 20 points!
Answer:
x in (-oo:+oo)
(5/4)*x-(3/7) = 0
(5/4)*x-3/7 = 0
5/4*x-3/7 = 0 // + 3/7
5/4*x = 3/7 // : 5/4
x = 3/7/5/4
x = 12/35
x = 12/35
Step-by-step explanation:
Carter deposited $146.00 into a new savings account that earns 13% interest compounded
quarterly. How long will it take for the balance to grow to $239.00?
Round your answer to the nearest month.
___ years and ___ months
Answer:
it should be around 4 months I believe
Step-by-step explanation:
146.00(1+0.13/4)^(4×4)
-27 w3 + 125 factorize
[tex]-1(3w-5)(9w^{2} +15w+25)[/tex]
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = (x-7)2 + (x-7)-1
A. F(x)=(x-7)2 and G(x)=(x-7)-1
B. F(x)=x²+x-1 and G(x) = x-7
C. F(x)=(x-7)-1 and G(x)=(x-7)²
D. F(x)= x-7 and G(x)=x²+x-1
SUBMIT
Answer:
The answer is D.
Step-by-step explanation:
Find the following given f(x) = - 9x - 2.
a. f(4)
b. f( - 3)
c. f(0)
D. F(1/7)
Answer:
the answer for {a} is -38
Step-by-step explanation:
fill in the number for x then simplify
f(x)=-9x - 2
f(4) = -9 (4) - 2
= -36 - 2 = -38
Use the same process for the other questions.
What’s 1+2?
Answer fasttttt
I will mark you as branly
Answer:
3
Step-by-step explanation:
uhhhhhhhhhhhhh yeah
A self-serve car wash charges $5.52 to use its facilities, plus an additional $0.95 for each minute the customer is at the self-serve
car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
A. $10.52
B. $6.47
C. $10.27
D. $4.75
what is 36x - 28 equal
Answer:
[tex]36x-28[/tex]
Rewrite 36 as 4*9 & Rewrite 28 as 4*7
[tex]4\cdot \:9x-4\cdot \:7[/tex]
Now, u can factor out the common term 4
[tex]4\left(9x-7\right)[/tex]
I need to know how to solve this
Answer:
it would be 3(16-8x) also know as A
Step-by-step explanation:
1. Based on the current market rates for bonds of Frenza, Nelo, and Lika, which of the following bonds do lenders believe has the highest risk level? 2. If Frenza decided to issue new bonds with a contract rate of 11%, would these new bonds be sold at a discount or premium based on the current market rate for Frenza bonds? 3. Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the new product line will yield $50,000 in additional income before any interest expense. Frenza has three options: (1) do not expand, (2) expand and issue $160,000 in debt that requires payments of 8% annual interest, or (3) expand and raise $160,000 from equity financing. For each option 1, 2, and 3, compute (a) net income and (b) return on equity (Net income ÷ Equity). Ignore any income tax effects.
The net income and return on equity for the first part for Frenzo will be $100000 and 25%.
How to calculate the net income?The net income and return on equity for the first part will be:
Net income = $100000 - 0 = $100000.
Return on equity = (100000/400000) × 100 = 25%
The net income and return on equity for the second part will be:
Net income = $150000 - $12800 = $137200
Return on equity will be:
= (137200/400000) × 100
= 34.3%
The net income and return on equity for the third part will be:
Net income = ($150000 - 0) = $150000
Return on equity will be:
= (150000/560000) × 100
= 26.8%
Learn more about net income on:
https://brainly.com/question/15530787
(3+2a)² alguien sabe la respuesta?
Answer:
3(3+2a)+2a(3+2a)
9+6a+6a+4a^2
9+12a+4a^2
ANS 4a^2+12a+9
If the area of a rectangle is x4 + 3x3 - 2x2 - 200 and the width is x + 5, find its length.
Answer:
Step-by-step explanation:
Area = 4x + 9 - 4 - 200
= 4x - 195
Since Area is lw, let the width be x + 5 and y be the unknown length.
Therefore (x + 5) (y) = 4x - 195
Answer:
x³ - 2x² + 8x - 40
Step-by-step explanation:
Area = length · width
(x⁴ + 3x³ - 2x² + 0x¹ - 200) = length · (x + 5)
length = (x⁴ + 3x³ - 2x² + 0x¹ - 200) ÷ (x + 5)
BRAINLIEST please if this helped!Look at the following ratio:
3:8
Write an equivalent ratio if it was three times greater:
519.6 x 10.86
by process.
Answer:
5642.856
Step-by-step explanation:
Multiply 5196 x 1086 without the decimal points
Then you will get the ans 5642856 then count how many decimal points are there altogether which is three points.
So go behind three numbers and put the point.
Final Answer - 5642.856
Let Vector a = LeftAngleBracket 3, 11, negative 8 RightAngleBracket. and Vector b = LeftAngleBracket 2, negative 3, c RightAngleBracket. . If Vector a minus vector b = LeftAngleBracket 1, 14, negative 3 RightAngleBracket., what is the value of c?
–11
–5
5
11
Answer:
c.5
Step-by-step explanation:
Case Study 2: Maxing out Matched Savings
Chen's employer will match 50% of their $250 monthly contributions to their 401(k). This
means that Chen's employer will put 50% of $250 = $125 into Chen's 401(k) account each
month in addition to Chen's $250. Free money-- Nice! (this is common!)
How much will Chen have after 40 years of saving $250 their own money if the account
compounds monthly at 3% APR?
hint: Use the TVM Solver on the Tl or this website. Remember, ignore the - sign. Don't forget
about the matching!
Type answer as a number without the $ symbol rounded to the hundredths. Example, if it
the answer was $1234.5687, you would enter 1234.57.
Answer:
The computation of the given question is shown below:-
Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)
= $250 + $125
= $375
1. Future Value = PMT [((1 + r)n - 1) ÷ r
Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)
= $347,272
2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years
= $250 × 12 Months × 40 Years
= $120,000
3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years
= $125 × 12 Months × 40 Years
= $60,000
4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer
= $347,272 - $120,000 - $60,000
= $167,272
Step-by-step explanation:
How many kilograms are in 242,000 milligrams? The solution is
Answer:
i am from afghanistan and you
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
How many hours would it take to watch 170 episodes of a show, each episode is about 23 minutes long.
Answer:
Around 65 hours(2 days and 17 hours)
Each episode is 23 minutes long, and there's 170 episodes, so multiply 23 by 170 being 23 minutes for each episode.
[tex]23 * 170 = 3,910[/tex]
Now, convert 3,910 minutes to hours by dividing for every 60 minutes.
[tex]3,910 / 60 = about~65[/tex]
Therefore, the answer is ≈65
the exact value is 65.16667
NO LINKS!! Please help
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Getting Started with FG
[tex]\frac{IH}{AB} =\frac{FG}{ED}[/tex]
[tex]\frac{72}{36} =\frac{FG}{24}[/tex]
[tex]\frac{FG}{24} =2[/tex]
[tex]FG=24(2)=48[/tex]
The proportion between polygons is 2:1
[tex]IJ=2CB[/tex]
[tex]IJ=2(12)=24[/tex]
[tex]FJ=2BC=2(16)=32[/tex]
Hope this helps
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Given: HGFJI ~ AEDCB
From inspection of the diagram, the corresponding sides are:
HG~AE
FG~DE
FJ~DC
IJ~CB
IH~BA
The only pair of sides that both have side lengths are IH and BA. Therefore, we can use these to figure out the scale factor of dilation.
IH = 72 and BA = 36
⇒ IH/BA= 72/36 = 2
Therefore, HGFJI is an enlargement of AEDCB by a scale factor of 2
If HG = 56
⇒ AE = 56 ÷ 2 = 28
If DE = 24
⇒ FG = 24 × 2 = 48
If DC = 16
⇒ FJ = 16 × 2 = 32
If CB = 12
⇒ IJ = 12 × 2 = 24
What is the measure of angle ACB? (geometry)
Answer:
30°Step-by-step explanation:
The angle between two secants is half the difference of intercepted arcs.
m∠ACB = 1/2(mAB - mDE)Substitute the arc values and calculate
m∠ACB =1/2(80° - 20°) = 1/2(60°) = 30°Answer:
∠ACB = 30°
Step-by-step explanation:
Finding ∠ACB :
∠ACB = 1/2 x (∡AB - ∡DE)∠ACB = 1/2 x (80° - 20°)∠ACB = 1/2 x 60°∠ACB = 30°Please help on the question as attached by providing detailed steps. Tq
Answer:
Step-by-step explanation:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3, 2)
Explanation:
y = −2x + 8 ....equation 1y = x − 1 ....equation 2======================
substitute equation 2 into 1
x − 1 = −2x + 8x + 2x = 8 + 13x = 9x = 3find y
y = x − 1y = 3 − 1y = 2solution
(x, y) ⇒ (3, 2)Answer:
(3, 2)
Step-by-step explanation:
Given
Equation 1: y = -2x + 8
Equation 2: y = x - 1
Solving by Substitution
Substitute Equation 2 into Equation 1 and solve for x:
⇒ x - 1 = -2x + 8
Add 2x to both sides:
⇒ 3x - 1 = 8
Add 1 to both sides:
⇒ 3x = 9
Divide both sides by 3:
⇒ x = 3
Now substitute the found value of x into Equation 2 and solve for y:
⇒ y = 3 - 1
⇒ y = 2
Therefore, the solution is (3, 2)
Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.
[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]
Calculation ↓If y varies inversely with x, we divide :
y = [tex]^k/_x[/tex]
Where
k = constant of proportionality
We are given that :
y = 0.5
x = 24
So we write :
0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]
Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]
12=k
[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]
So we havey = 12/x
[tex]\footnotesize{\text{hope\:helpful}}[/tex]
Pls help i need an A my mom is going to get mad at me pls help i will give 62 points
Answer:
orange one
Step-by-step explanation:
just the orange one since its 5 divided by 1 is 5
10 divided by 2 is 5
20 divided by 4 is 5
They answers are both correct
First you will look at the first pair of numbers then do some multiples of the numbers
Then compare them to the other points given and determine if you have a line from there
Need help with math please