Answer:
My answer is true hope this'll help
Help please thank you!
Answer:
g(f(x)) = x
Yes, the functions are inverses.
Step-by-step explanation:
Hi there!
We're given:
[tex]f(x) = 8x-7[/tex]
[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]
To solve for g(f(x)), plug f(x) into g(x) as x:
[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]
Because g(f(x)) = x, the two functions are inverses.
I hope this helps!
Could somebody solve this problem for me- step-by-step? I would appreciate it!
Answer:
The first step would be to add the problem.
The second step would be for us to answer it.
The third and final would be appreciation.
which of the ratio equivalent to 1:3 select all that apply
Answer:
4:12
6:18
8:24
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
2.) Use rigid motions to explain whether the triangles in the graph are congruent.
What are the coordinate rules that were used to map one triangle to the next?
1st rule:
2nd rule:
Answer:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
Step-by-step explanation:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
MJS: (4,-4) (-2,-3) (-3,1) -> (-4,4) (-2,3) (-3,-1) -> (2,4) (4,3) (3,-1)
They are congruent!!
F(x)=6x+2
g(x)=2x+4/5
Answer:
Step-by-step explanation:
G(fx)= 2x+4÷5×6x+2
G(fx)= 2x+0.8×6x+2
G(fx)= 2x×6x+0.8+2
G(fx)= 12x+2.8
The distance across a two lane road
In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).
Please help I need to turn this in tonight
Answer:
f(x) = - (x + 3)² + 12Step-by-step explanation:
The vertex form:
f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a- the leading coefficientWe have on the graph:
(h, k) = (-3, 12)Substitute into equation:
f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12Use the point (0, 3) to find the value of a:
3 = a(0 + 3)² + 123 = 9a + 129a = 3 - 129a = - 9a = -1So the function is:
f(x) = - (x + 3)² + 12Brendon Walsh wants to borrow $40,000 from the bank. The interest rate is 6% and the term is for 5 years.
What is the amount of interest paid?
$40,000
$480
$2,400
$24,000
The amount of interest paid per year is $2400
What is Interest rate?
An interest rate is the percentage a lender charges on the amount of money borrowed from them.
Given that, Brendon Walsh wants to borrow the sum of $40,000 from the bank
Interest rate is 6%
Time is 5 years
Therefore, the yearly payment amount can be calculated as follows
= 40,000 × 5 × 6/100
= 40,000 × 5 × 0.06
= 12000/5
= $2,400
Hence, the yearly payment is $2,400
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Paying $38.50 for 12 pounds of apples
Answer:
If you pay $38.50 for 12 pounds of apples it costs $3.20833333333 per pound.
Step-by-step explanation:
What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula
Please help fast
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
I'm only able to see a black square instead of any image. Could you resend it?
I PROMISE BRAINIEST IF YOU HELP ME
Answer:
The associative property
Step-by-step explanation:
:/ wait its u again lol
3(x − 5) − 5x = −25 + 6x
x=5/4
the explantion would be to long lol
Answer:
x = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side
3x - 15 - 5x = - 25 + 6x
- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )
- 8x - 15 = - 25 ( add 15 to both sides )
- 8x = - 10 ( divide both sides by - 8 )
x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]
RIGHT
ACUTE
OBTUSE
EQUIANGULAR
Step-by-step explanation:
option B is correct answer ( Acute angle triangle)
hope this helps you.
Answer:
Acute triangle
Step-by-step explanation:
Acute triangle have less than 90 degrees
en una reunión de 162 alumnos había 15 hombres mas que 6 veces las mujeres ¿cuantos hombres y cuantas mujeres habra?
This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were 15 men more than 6 times the women, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
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Hey can you help me out with this problem?
Answer:
10
Step-by-step explanation:
20/2=10 smores
Jack was out at a restaurant for dinner when the bill came. His dinner came to $14. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents?
Help please I wasn’t here for this!!!
Answer:
$18.34
Step-by-step explanation:
Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3
Answer:
It is 10 quarters and 10 nickels
10 x 25 = $2.50
10 x 5 = $0.50
2.50 + 0.50 = $3.00
***I hope this helps
Step-by-step explanation:
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
More about the conversion link is given below.
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It rained 20% of the time during Sping. There are 90 days in Spring. How many total dayd did it rain?
Answer: 18 days
Step-by-step explanation: you multiply 90 by 0.2 and you get 18
PLEASE HELP! ASAP I NEED HELP!
a) 314.285728572857.......
b) i think 5.4 boxes
c) its an under estimate cuz actual value is more than 5
Step-by-step explanation:
a) To find the area of her garden, you need to know the area of a circle: πr²
diameter = 20m
radius = 10m
3.14 × 10² = 314m²
b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure
314 ÷ 58 ≈ 300 ÷ 60 = 5
c) The answer is an underestimate because the actual value is 5.4137...
314 ÷ 58 = 5.4137..
the cost of a new laptop is $750 which genorates a sales tax of$37.50 what is the sales tax rate
Answer:
5%
Step-by-step explanation:
To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.
$750 / $37.50= 0.05
The answer is 5%
Hope this helps
Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers
from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.
Assume that Jake has no special abilities and is randomly guessing the numbers.
Jake's guesses are illustrations of probabilities.
The probability that Jake's guesses are correct is 1/720
The sample size is:
[tex]\mathbf{n = 10}[/tex] --- 10 different numbers
The probability that Jake's guesses are correct is as follows:
1st guess = 1/102nd guess = 1/93rd guess = 1/8So, the required probability is:
[tex]\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}[/tex]
[tex]\mathbf{Pr = \frac{1}{720} }[/tex]
Hence, the probability that Jake's guesses are correct is 1/720
Read more about probabilities at:
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Answer:
Step-by-step explanation:
Someone that understands this please help!ASAP it’s 8th grade math
Answer:
simple ( principal *rate*time)/100.
3500*4*10/100 = 1400 interest
account balance =3500+1400=4900
compound p(1+r)^t
3500(1+.04)^10 =3500* 1.480=5180
interest earned = 5180-3500= 1680
how much more interest. ; 1680-1400=280
Answer:
Step-by-step explanation:
Simple Interest:
Simple Interest formula is S.I. = P × r × t
Interest Eared: $3,500 × 0.04 × 10 = $1,400
Account Balance formula is A = P ( 1 + rt )
Account Balance: $3,500 + $1,400 = $4,900
Compound Interest:
Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]
Account balance: $5,180.85
Interest Earned: $5,180.85 - 3,500.00 = $1,680.85
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1. 4x=36
2. x+3 = 15
Step-by-step explanation:
so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00
and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps
Madelyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $22 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does she earn if she works 11 hours at the grocery store and 10 hours at the nursery? How much does she earn if she works gg hours at the grocery store and nn hours at the nursery?
Answer:
242$ in grocery store and 210$ in nursery
Step-by-step explanation:
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
Show how 12 is both a multiple of 4 and a factor of 48. Use words, drawings and symbols to explain your answer
Answer:
4x3=12
12x4=48
48/12=4
48/4=12
Step-by-step explanation:
An insect's head accounts for approximately 60% of its total mass. If the insect weighs 40 g, what is the mass
of its head?
Answer:
24 g
Step-by-step explanation:
60/100x40
2400/100
24