Answer:
[tex]g^{-1}(6)=49[/tex]
Step-by-step explanation:
Inverse function
Given the function:
[tex]\displaystyle g(x) = \frac{1}{7}x-1[/tex]
Find: [tex]g^{-1}(6)[/tex]
Find the inverse function of g.
[tex]\displaystyle y = \frac{1}{7}x-1[/tex]
Add 1:
[tex]\displaystyle y +1= \frac{1}{7}x[/tex]
Multiply by 7:
[tex]7(y +1)= x[/tex]
Swap letters:
[tex]y=7(x+1)[/tex]
Call this the inverse function:
[tex]g^{-1}(x)=7(x+1)[/tex]
Evaluate at x=6
[tex]g^{-1}(6)=7(6+1)=49[/tex]
[tex]\boxed{g^{-1}(6)=49}[/tex]
Solve for w.
W-5= 10
What the answer
Answer:
15
Step-by-step explanation:
10+5 is 15
15-5=10
The distance an electric car can travel on one full charge depends on the speed of the car. The table shows the approximate distances a certain model of electric car can travel on one full charge
when moving at various constant speeds.
The speed and the corresponding distance form an arithmetic sequence, where the speed represents the number of the term and the corresponding distance represents the value of the term.
What is the distance, in miles, that the car can travel on one full charge when moving at a constant speed of 75 miles per hour (mph)?
A) 220
B250
С270
D290
Answer:
Distance covered by the car = 220 miles
Step-by-step explanation:
Speed (mph) (s) Distance (miles) (d) Difference in distances
45 400 -
50 370 400 - 370 = 30
55 340 370 - 340 = 30
60 310 340 - 310 = 30
65 280 310 - 280 = 30
Since differences between each successive term of the distances are common,
Therefore, table represents a linear function.
Let the equation representing the relation between the speed and distance is,
d = ms + c
Where m = slope of the line
And c = y-intercept
For a point (45, 400) lying on the line,
400 = 45m + c ----- (1)
Similarly, for a point (60, 310),
310 = 60m + c -------(2)
Equation (1) - equation (2)
400 - 310 = 45m - 60m
90 = -15m
m = -6
By substituting m = -6 in equation (1),
400 = 45(-6) + c
c = 400 + 270
c = 670
Therefore, equation will be,
s = -6d + 670
Now we have to calculate the distance covered by the car when moving with a constant speed of 75 mph,
d = -6(75) + 670
d = 670 - 450
d = 220 miles
What is the area of the rectangle? 4.10 unit test analytical geometry
Answer: 74 units^2
Step-by-step explanation: Took the test :)
What is the LCM and LCD of 60 and 13
Answer:
LCM=780
Step-by-step explanation:
The least common denominator, also called lowest common denominator (LCD), of 60 and 13 is 780. Here is a math problem example where you need to know the LCD of 60 and 13 to solve: 3/60 + 2/13 = 780
2000-25x >400 I don’t get what to do on that question
Answer:
x < 64
Step-by-step explanation:
Solve for x
2000-25x > 400
-25x > 400-2000
-25x > -1600
25x < 1600
x < 64
I need help on this one.......do you know the Answer ???
I forgot how to do it
Answer:
9 = m
Step-by-step explanation:
Divide by 7 because there are 7 tape measures. Then you get 9.
Answer:
m=9
Step-by-step explanation:
63 divided by 7=9
so m=9
For the polynomial
f(x)=1 – 2x - 3x^4 as
x → infinity, f(x) → -infinity
A. True
B. False
Answer:
true
Step-by-step explanation:
took the quiz
The polynomial f(x) = 1 – 2x - 3x⁴ as x → infinity, f(x) → -infinity is true because the leading term is negative.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
f(x) = 1 – 2x - 3x⁴
or
f(x) = - 3x⁴ - 2x + 1
As we increase the value of x the value of f(x) decreases because the leading term is negative.
Leading term = -3
Thus, the polynomial f(x) = 1 – 2x - 3x⁴ as x → infinity, f(x) → -infinity is true because the leading term is negative.
Learn more about Polynomial here:
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Which equation represents a line that is parallel to y = -2x - 5?
A. -2x + y = -5
B. x - 2y = -5
c. 2x - y = 0
D. 2x + y = 7
Answer:
Step-by-step explanation:
B. X-2y=-5y
The x and (or) y value have to be equal
The graph of the following system of equations is (5 points)
2x + y = 6
6x + 3y = 18
4. Andy puts $4,000 into an account that offers 3% interest compounded annually. If no additional deposits or withdrawals are made, how much interest will he earn at the end of 6 years?
Answer:
A=$ 4,000(1+.03)∧6 will all equal $4776.209 if round $4,776.21.
Step-by-step explanation:
I use the formula A = P(1 + r)
∧t for annually.
if your looking for the interest rate then use formula interest formula I/Pt = r . I stands for Interest amount paid in a specific time period / p which stands for Principle amount (the money before interest) times T which is Time period involved which will equal r the interest rate.
Estimate 0.5% of 600, what is the answer?
What is the slope of the line passing through the points (2,-5) and (4, 1)?
2
-4/5
3
5/4
Step-by-step explanation:
it would be 3 lol good luck
Answer:
3
Step-by-step explanation:
I took the quiz
Marcelo had $49.13 in his bank account. He paid two fees of $32.50 each, and then he made two deposits of $74.25 each. What is the balance in dollars in Marcelo’s account now?
Answer:
The answer is -164.37 dollars in there bank account.
Step-by-step explanation:
you subtract the two fees first and then you subtract the two deposits from the bank and then you have your answer. I hope that this helps you :)
Elevation represents distance from sea level. Positive numbers represent elevations that are above sea level and negative numbers represent elevations that are below sea level.
A hiker recorded the distance from sea level that she hiked on 4 different days in the table below.
On which day did the hiker travel the furthest distance.
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
Answer:
The answer is C i got it right i am not lieing
Step-by-step explanation:
On Wednesday the hiker had the greatest elevation of 8.74 km.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given, Elevation represents the distance from sea level.
Positive numbers represent elevations that are above sea level and negative numbers represent elevations that are below sea level.
We know distance is always positive so if we look through the table on Wednesday the hiker has hiked - 8.75 km,
Now modulus of - 8.75 is | - 8.75 | = 8.75, so on Wednesday the hiker has the greatest distance covered.
learn more about the absolute value function here :
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Ian’s hourly wage is $13.25. If he regularly works 40 hours per week, what is his regular weekly pay?
Answer:
$530 is his weekly pay
Step-by-step explanation:
Multiply 13.25 by 40 and you will get the answer.
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.
Correct question is;
Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost,
Where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
2x + 6y = 12
2(3) + 6y = 12
6 + 6y + 6 = 12 + 6
6y = 18
y = 3
which is the first error that tomas made?
A) tomas substituted the 3 for x when he should have substituted 6 for x.
B) tomas added 6 to both sides of the equation instead of subtracting 6.
C) tomas should have written the equation as 3x + 6y = 12.
D) tomas substituted 3 for x when he should have substituted 3 for y.
Answer:
Option B: tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
We are told that; x represents the number of pounds of granola while y represents the number of pounds of walnuts.
Now, we are told that He can spend a total of $12 on the ingredients. Also that he buys 3 pounds of granola that costs $2.00 per pound while the walnuts cost $6 per pound.
Thus;
2x + 6y = 12
He buys 3 pounds of granola. Thus;
2(3) + 6y = 12
6 + 6y = 12
The next step here is to subtract 6 from both sides but Tomas added 6 to both sides instead.
Thus, option B is the correct answer.
Answer:
its b
Step-by-step explanation:
What’s the angle/angles for this figure?
Answer:
1 obtuse 2 acute 3 acute
Step-by-step explanation:
What is the slope of this line?
Answer:
2
Step-by-step explanation:
the slope is rise over run so you go up 2 and over one
y=2x+4
camille stopped at the grocery store to buy milk.While at the store,she spotted cans of soup on sale for $2.25 each.if the milk cost $3.50 and she can spend no more than $35,how many cans of soup can she buy
Answer:
14 cans of soup
Step-by-step explanation:
I used my whiteboard and did it
Tommy runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How many quarts of lemonade does he have left?
Answer:
2 quarts
Step-by-step explanation:
In order to solve this problem we first need to calculate the total amount of lemonade, Tommy made in Cups. Since 1 quart holds 4 cups we simply multiply the 8 quarts that Tommy made by 4 like so...
8 * 4 = 32 cups of Lemonade
Now that we know that Tommy made a total of 32 cups of lemonade we can subtract the number of cups he sold each day from the total.
32 - 6 - 18 = 8 cups
Finally, we see that after selling 6 cups on Saturday and 18 cups on Sunday he has 8 cups left. Now we simply divide this by 4 to turn the cups back into quarts
8 / 4 = 2 quarts
Answer:
2 quarts
Step-by-step explanation:
During one year the value of a diamond increased 25%. If the diamond was originally worth $3000 what was it worth one year later
Answer: $3750
Step-by-step explanation:
25% of 3000 is 750. So add 750 to 3000 you get 3750.
Answer:pues sube unos 740
Step-by-step explanation:
Ponle logica
BRAINLY INCLUDED
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 perhour. Write and solve an equation to find the number of hours t of labor spent repairing your car.
Equation __ = 553
t= __ hours
Answer:
t = 6 hours
Step-by-step explanation:
553 = 265 + 48 t
t = 6
Explanation:
Let R be the repair bill . Let P be the cost of parts
Let L be the labor cost
R = P +L
R
=
553
P
=
265
553
=
265
+
L
Let
t
be the labor duration
Let
r
be the labor rate
L
=
r
t
r
=
48
⇒
L
=
48
t
553
=
265
+
L
⇒
553
=
265
+
48
t
⇒
288
=
48
t
⇒
t
=
6
Whitney sells cars at a local dealership. She receives a monthly salary of $904.00 and a $159.00 commission on each car she sells. If Whitney receives her commission check at the end of the month along with her salary check, which of the following equations can be used to determine her total pay for the month?
(Let x represent the number of policies sold and y represent the total amount of pay for the month.)
A.
y = 904x + 159
B.
y = 159x
C.
y = 159x + 904
D.
y = 15.9x + 904
Answer:
The equation can be used to determine her total pay for the month is
y = 159x + 904 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ initial amount∵ Whitney receives a monthly salary of $904.00
→ It is a fixed amount
∴ The initial amount of her salary is $904.00
∴ b = 904
∵ She takes a $159.00 commission on each car she sells
→ That means the commission is changing with the number of cars sold
∴ The commission is the rat of change
∴ m = 159
→ Substitute the values of m, b in the form of the equation above
∴ y = 159x + 904
The equations can be used to determine her total pay for the month is
y = 159x + 904
Gorillas may look threatening, but they are peaceful and family-oriented animals. They are the largest of all primates, but as plant-eating animals, do not bother other creatures.
Which choice best paraphrases the information? (5 points)
Group of answer choices
Gorillas may appear scary, but they are nonviolent and family-centered creatures. They are the biggest of all primates, but as vegetarian creatures, they do not inconvenience other species.
As the largest primates, gorillas look imposing. In reality, they eat plants, protect their families, and keep to themselves.
Gorillas look threatening but are peaceful and family oriented. They are the largest primate. They are plant eaters and don't bother other creatures.
Gorillas are the largest of all primates. They may look threatening, but they are plant-eating animals. They are peaceful and family oriented and do not bother other creatures.
Answer:
Gorillas look threatening but are peaceful and family oriented. They are the largest primate. They are plant eaters and don't bother other creatures.
Step-by-step explanation:
Which equation represents the line that passes through the point (−2,2) and is parallel to y - 8= 12x ?
Answer:
y=12x+26
Step-by-step explanation:
We need an equation that passes through (-2,2) and is parallel to y-8=12x.
For this problem, we are going to use point slope form. Point slope form is written like this: [tex]y-y_{1} =m(x-x_{1})[/tex]. Parallel lines on graphs also have the same slope and different y-intercepts. Let's start plugging our known values. We will start with the slope. We know that the slope is 12, so m=12.
[tex]y-y_{1}=12(x-x_{1})[/tex].
We also know that [tex]y_{1} =2, x_{1}=-2[/tex]. Now let's solve
[tex]y-2=12(x+2)\\y-2=12x+24\\y=12x+26[/tex]
A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month. c = cost per month
Answer:
Step-by-step explanation:
725-125 is 600
y=600c+125
people pay 600 dollars a month
Roger wants to make a deposit into his savings account. He is depositing 2 checks, one for 95.62 and the other for $432.50. He would like to receive $60.00 in cash after the deposit. Calculate the amount that he will be depositing into his savings account.
Answer:
$468.12
Step-by-step explanation:
Given that:
Amount to deposit:
Check 1: = $95.62
Check 2 = $432.50
Amount he'll like to receive or withdraw = $60
Total amount he'll be depositing :
Check 1 + Check 2 - withdrawal
$95.62 + $432.50 - $60
= $468.12
1 What value of x makes this equation true? x – 2 = 4 – 3x
A 2/3
B 3/2
C 3/4
D 4/3
y + 10x = 3
function form
Answer:
The function for is:
f(x) = 3 - 10x
What number is 0.867 more than 0.203?
Answer:
1.07 =)
Step-by-step explanation:
