====================================================
Work Shown:
First find f(2)
f(x) = 3x-1
f(2) = 3(2)-1 ... replace every x with 2
f(2) = 6-1
f(2) = 5
--------------
The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5
g(x) = 2x-3
5 = 2x-3 .... replace g(x) with 5
2x-3 = 5
2x = 5+3 ... add 3 to both sides
2x = 8
x = 8/2 .... divide both sides by 2
x = 4
The value of x that satisfies the equation g(x) = f(2) is x = 4.
What is a function?A relation is a function if it has only One y-value for each x-value.
We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).
We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.
Therefore, we need to find the value of x that makes g(x) equal to 5.
Setting g(x) equal to 5, we get:
2x - 3 = 5
Add 3 to both sides.
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.
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There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
35 cars / 5 (ratio of cars) = 7
7 x 4 (ratio of trucks) = 28 total trucks
total cars and trucks = 28 + 35 = 63
Answer:
28 trucks when there are 35 cars
28:35
What is the area of a sector with a central angle of π3 radians and a radius of 12. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
The sector is a part of the circle. Then the area of the sector will be 161 square centimeters.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/3 radians and a radius of 12.4 m.
Then the area of the sector will be given as
[tex]\rm Area\ of\ sector = \dfrac{\theta}{2\pi} \ \pi r^2\\\\\\Area\ of\ sector = \dfrac{\pi / 3}{\pi } *\pi * 12.4^2 \\\\\\Area\ of\ sector = 161.01 \approx 161[/tex]
The area of the sector is 161 square m.
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1. The product of 3 and a number increased by six is 24.
Answer:
Y= -14
Step-by-step explanation:
3 X ( y + 6 ) = - 24
y + 6 = - 8
y = - 14
Answer:
Equation: 3x + 6 = 24Solved: x = 6Step-by-step explanation:
Let x be the number
Write it out: 3x + 6 = 24Subtract 6 from each side, so it now looks like this: 3x = 18Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 6I hope this helps!
in archery competition,Lisa hit 2 more than jenny.althogether they hit 82 . how many did Jenny hit ?
Answer:
40
Step-by-step explanation:
let L be lisa's hit and J be jenny's
given that
L+J = 82 and
L = J+2
equate the two together
J+2+J=82
2J = 82-2
J= 80/2
J=40
Jane made $108 for 9 hours of work.At the same rate, how many hours would she have to work to make $216?
pls help
Answer:
18 hours
Step-by-step explanation:
$108 = 9 hours
$216 = x hours
we want to get to $216 from the original equation. one thing we can do to get there is to figure out what we need to multiply 108 by to get 216. to figure this out, we can calculate 216/108 = 2.
therefore, we can multiply both sides of the original equation by 2 to get
$216 = 9 * 2 hours = 18 hours as our answer
multiplicative inverse of 3.5
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%
The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.
If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.
For the events "shower gel" and "scented" to be independent.
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A) × P(B)
We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have
P(shower | scented) = P(shower gel) = 42%
This must be true for the events to be independent.
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Answer:
The answer is
C - P(shower gel | scented) = 42%
Step-by-step explanation:
Hope this helped!
What number has the same absolute value as 47
Answer:
-47
Step-by-step explanation:
please help me please bro
Answer:
point D
Step-by-step explanation:
D because -1 has to be the x value and the only point with the x value of -1 is point D
∠A and ∠B are complementary. The measure of ∠A is 32°. What is the measure of ∠B? Enter your answer in the box. °
Answer:
∠B = 58°
Step-by-step explanation:
∠A and ∠B are complementary.
-> ∠A + ∠B = 90°
-> 32° + ∠B = 90°
-> ∠B = 90° - 32°
-> ∠B = 58°
Answer:
<B = 58
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
If A and B are angle when added will form 90°, to find B we follow the following steps
A + B = 90
if A = 32°,
32 + B = 90
collect like terms
B = 90 - 32
B = 58
that means
32 + 58 = 90
B = 58
Do mark Brainliest
7. Angle A and Angle B are congruent. The measure
of Angle A is 2x + 3. The measure of Angle B is 3x –
5. Solve for x. What is the measure of each Angle?
=========================================
Work Shown:
angle A = angle B
2x+3 = 3x-5
3+5 = 3x-2x
8 = x
x = 8
angle A = 2x+3
angle A = 2*8+3
angle A = 16+3
angle A = 19
angle B = 3x-5
angle B = 3*8-5
angle B = 24-5
angle B = 19
Both angles are the same measure (19), which confirms our answer.
Answer:
X=8
Step-by-step explanation:
2x+3=3x-5. subtract 2x from both sides
3=x-5. add 5 to both sides
3+5=x
x=8
An employee at a clothing store makes $12.75 per hour plus a 5.75% commission on sales. This week she worked 45 hours and her sales were $12,675. How much did she earn this week?
Answer:$1,302.56
Step-by-step explanation:
First you must find the amount she made from working her hours.
$12.75 x 45(hours)=$573.75
Next you must find how much she made from her commission on sales.
$12,675 x 0.0575(5.75% converted to a decimal)=728.8125.
Round 728.8125 to the nearest hundredth to get $728.81.
Add these two numbers together.
$728.81+$573.75=$1,302.56
Answer:
$1,302.56
Step-by-step explanation:
You must first determine how much she earned throughout her working hours.
$12.75 multiplied by 45 hours equals $573.75.
The next step is to determine how much she earned from her sales commission.
728.8125 = $12,675 x 0.0575(5.75 percent converted to a decimal).
To get $728.81, round 728.8125 to the nearest hundredth.
These two integers should be added together.
$728.81+$573.75=$1,302.56
In the three-cell model of the general circulation, areas of surface low pressure should be found at _______________.
a) the equator and 60o latitude
b) 30o latitude and 60o latitude
c) 30o latitude and the poles
d) the equator and 30o latitude
e) the equator and the poles
In the three-cell model of the general circulation, areas of surface low pressure should be found at the equator and 60° latitude.
What is Surface Low Pressure?
In any environment, geographically speaking, the place with the lowest relative pressure is called the surface low-pressure center.
Surface low-pressure centers are created when the atmospheric circulation of air (vertically) reduces a minuscule amount of atmosphere from a geographical region.
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what does the called 0.22
Davion Hunt Freeman
A literary agent makes $30,000 a year plus 13% commission on the sales of her clients' books to publishers. The agent sold 4 books for $175,000 each for her
clients this year.
Find her total earnings.
Answer:
She made $121000.
Step-by-step explanation:
The money the agent sold was:
4*175000=700000 (dollars)
but she only gets 13% of this, so she earned:
700000*0.13=91000 (dollars)
She also makes $30000 per year, so the total income she earned was:
91000+30000=121000
Solve in base 2 1111+1101+101
Answer:
100001
Step-by-step explanation:
First, convert the three numbers to base 10. 1111=15, 1101=13, and 101=5. Now, add the numbers up in base ten. 15+13+5=33. Lastly, convert 33 to base 2. 33=100001 in base 2.
pleas help me with #5 i would really appreciate it !!
Answer: 1 3 5 7 ADD BY 2
Step-by-step explanation:
welcome
Answer:
Angles 6 & 7 are consecutive interior angles
Step-by-step explanation:
They are both on the same side of the transversal, and on the interior parts of the parallel lines.
Graph the system of equations.
f(x)=x^2−5x+7
g(x)=2x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
The x-coordinate of a solution to the system of equations is 1.
The y-coordinate of a solution to the system of equations is 3.
The x-coordinate of a solution to the system of equation is 3.
An ordered pair that is a solution to the system of equations lies on the y-axis.
An ordered pair that is a solution to the system of equations lies in Quadrant III.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
We need to graph them first
Both attachedSolutions are
(1,3)(6,13)So
Option A,B,F are correct
For Future Refernce-
The Answers
The x-coordinate of a solution to the system of equations is 1.
Both ordered pairs that are solutions to the system of equations are in Quadrant I.
The y-coordinate of a solution to the system of equations is 3.
(source- k-12 Algebra 1 Checkpoint.)
Determine the number and type of solutions of the quadratic
equation.
4x2 – 3x + 1 = 0
O one real solution
O two imaginary solutions
O one imaginary solution
O two real solutions
Answer: Choice B
Two imaginary solutions
=======================================================
Explanation:
The given equation is
4x^2 - 3x + 1 = 0
Compare this to the general quadratic
ax^2 + bx + c = 0
to find that a = 4, b = -3, c = 1.
Plug those values into the discriminant formula below.
d = b^2 - 4ac
d = (-3)^2 - 4*4*1
d = 9 - 16
d = -7
Then recall that...
If d > 0, then we have two real solutions.If d = 0, then we have only one real solution.If d < 0, then we have two imaginary solutions.We see that d = -7 fits with the third option highlighted above.
4x2 – 3x + 1 =
0 one real solutiontwo imaginary solutionsone imaginary solutiontwo real solutions→ two imaginary solutionsA group of students collected old newspapers for a recycling project. The date shows the mass, in kilograms, of old newspapers collected by each student. What percent of students collected between 49 kilograms and 98 kilograms of newspapers?
The percentage of students who collected more than 49kg and less than 98kg of old newspapers is 54.54%
How to calculate the percentage of students who collected more than 49kg and less than 98kg?
To calculate the percentage of students who collected between 49kg and 98kg of old newspapers we must perform the following operations:
We must count how many students are in the range of 49kg to 98kg of old newspapers: 12 students out of 22 students.
100 ÷ 22 = 4.54%4.54 × 12 = 54.54%So, those 12 students are equivalent to 54.54% of students.
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(x + y)2 = 64 et x y = 15, alors x2 + y2
Answer:
[tex]x^2+y^2=34[/tex]
Step-by-step explanation:
Expand [tex](x+y)^2[/tex].
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex]x^2+2xy+y^2=64[/tex]
Substitute 15 for xy.
[tex]x^2+2(15)+y^2=64\\\\x^2+30+y^2=64\\\\x^2+y^2=34[/tex]
You start at (0, -1). You move left 3 units and right 6 units. Where do you end?
The vertex form of the function is Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x – 3 y = (x + 2 + RETRY y = x2 + 8x + 8-3-8 y = x2 + 8x + 8 – 3+ 8 ✓ y = x2 + 8x + 16 - 3-16 X y = x2 + 8x + 16 - 3 + 16 COMPLETE
Answer:
vertex form is y=(x+4)^2-19
Step-by-step explanation:
Answer:
(4,-19)
Step-by-step explanation:
which of the following numeral expressions may represent the probability of a simple event?
PLEASE HELP!! ILL MARK BRAINLYEST!!!
Solve the equation.
-5 = b - 2.3
b =
Answer:
b = -2.7
Step-by-step explanation:
Isolate the variable, b
-5 = b - 2.3
add 2.3 to both sides (to isolate variable b)
-5 + 2.3 = b - 2.3 + 2.3
-2.7 = b + 0
-2.7 = b
Check work:
-5 = -2.7 - 2.3
-5 = -5
Correct
A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.
The missing values for the given two-way table are shown in the image attached below (see attachment).
What is a Two-way Table?A two-way table can be described as table that shows the frequencies of two categorical variables in rows and columns respectively.
To find the missing values in the two-way table that is given, simply subtract a known value from the corresponding given total of a row or column.
Thus:
First row total for print and electronics = 33 + 24 = 57
Second row for electronics = 48 - 24 = 24
Second row total for print and electronics = 32 + 24 = 56
Column total for print = 33 + 32 = 65
Third column for grand total = 57 + 56 = 113
Therefore, the missing values for the given two-way table are shown in the image attached below (see attachment).
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please help solve this problem evaluate ³√8
Answer:
the answer is 2
Step-by-step explanation:
re right 8 as [tex]2^3[/tex]= 3 √ [tex]2^3[/tex]
Pull terms out from under the radical, assuming real numbers. =2
Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget. Monthly Budget Previous Budget Current Budget Income Wages $800 $2400 Expenses Rent Utilities Groceries Savings Bus Pass $300 $60 $200 $100 $30 $300 $60 $250 $150 $30 Net Income $110 $1610 a. Alexa is earning quite a bit more money and her expenses reflect the change in income. B. Alexa is earning quite a bit more money than she was previously. She has worked hard and deserves to spend a lot of money on herself. C. Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account. D. Her increased income should have no effect on her financial decisions. Please select the best answer from the choices provided A B C D.
From the table it is obvious that Alexa is earning quite a bit more money than she was previously.
What is a budget?The term budget refers to an organized plan for income and expenditure. Budget usually helps a person to prioritize certain issues over others when making purchases.
We can see from the question that Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
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Answer: C
Step-by-step explanation: I just took the test
The mean in
2, 2, 3, 5, 7, 7, 9, 10?
Answer:
5.6
Step-by-step explanation:
add them together and divide by 8 because there are 8 numbers
Have a nice day :)
Answer:
5.625
Step-by-step explanation:
u hv to add it all up and count the amount of numbers then divide
ASAP 50 POINTS
Select the correct answer.
Which function has a restricted domain?
Answer:
Therefore, option B is correct.
[tex]\large\boxed{\sf y=\left(3x\right)^{\frac{1}{5}}-4}[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\left(-x+3\right)^{\frac{1}{2}}}[/tex] Has a domain x < 3
[tex]\large\boxed{\sf y=-\left(x+8\right)^3 }[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\:\left(4x\right)^2-5}[/tex] Has infinity domain
Answer:
2nd one
Step-by-step explanation:
Here if we simplify
[tex]\\ \rm\Rrightarrow (-x+3)^{1/2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{-x+3}[/tex]
So
-x+3>=0-x>=-3x<=3So domain is restricted
Option B