Answer: OPTION C.
Step-by-step explanation:
In order to solve the given exercise, you can follow these steps:
1. Given the following function f(x):
[tex]f(x)=\frac{x-2}{3}[/tex]
You must substitute [tex]x=2[/tex] into the function f(x). Then:
[tex]f(2)=\frac{(2)-2}{3}[/tex]
2. Evaluating, you get:
[tex]f(2)=\frac{0}{3}\\\\f(2)=0[/tex]
3. Now, the next step is to substitute [tex]f(2)[/tex] into the function g(x):
[tex]g (x) = 3x+2\\\\g (f(2)) = 3(0)+2[/tex]
4. Finally, evaluating, you get the following result:
[tex]g (f(2)) = 0+2\\\\g (f(2)) =2[/tex]
You can identify that it matches with the Option C.
To find the value of g(f(2)), we first calculate f(2) which equals 0, then we substitute that into g(x) to get g(0) which equals 2. Therefore, g(f(2)) is 2.
Explanation:The question asks for the value of g(f(2)) given two functions g(x) = 3x + 2 and f(x) = (x - 2) / 3. To find the value, we first evaluate f(2), and then plug that result into g(x).
First, we evaluate f(2): f(2) = (2 - 2) / 3 = 0 / 3 = 0.Next, we use this result in g(x): g(f(2)) = g(0) = 3(0) + 2 = 0 + 2 = 2.The answer to the given function composition g(f(2)) is 2, which corresponds to option C.
(8x7) x 1/100 ×1/10
Answer:
I put it into a calculator and got this: 7/125
Step-by-step explanation:
It is equal to 8 x 7 x 1 / 100 x 1 / 10
And multiplying something by 1 doesn't change it. So we can get rid of that:
8 x 7 / 100 / 10
8 x 7 is 56, so we can simplify it to
56 / 100 / 10
56 / 100 is 0.56, and 0.56 / 10 is 0.056. So the final answer is 0.056.
Help on this question plz
Answer:it is function and it is 25
Step-by-step explanation:it is 25 in the y inputs because every time the x input increases by one the y input increases by 25
it is a function because each one of the “x” imputes has there own “y” input and if they all have there own that makes it a function. but it there were 2 “y” inputs pointing to one “x” input that would make it a non function
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7.
Which pair of equations has (2, 12) as its solution? (4 points)
Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D
Answer:
The pair of equations which has (2,12) as its solution is,
equation B and equation C.
Step-by-step explanation:
According to the question,
equation of line A is [tex]\frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}[/tex]
or, [tex]\frac {y - 16}{x + 6} = \frac {-4}{3}[/tex]
or, [tex] 3y - 48 = -4x - 24[/tex]
or, 3y + 4x = 24 ------------------(1)
Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.
Equation of line B is, [tex]\frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}[/tex]
or, [tex]\frac {y - 20}{x + 2} = -2[/tex]
or, [tex] y - 20 = -2x - 4[/tex]
or, y + 2x = 16 -----------------------------(2)
The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.
Equation of line C is, [tex]\frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}[/tex]
or, [tex]\frac {y + 6}{x + 7} = 2[/tex]
or, y + 6 = 2x + 14
or. y - 2x = 8 -----------------------------------(3)
The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.
Equation of line D is, [tex]\frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}[/tex]
or, [tex]\frac {y - 20}{x - 7} = \frac {27}{7}[/tex]
or, 7y - 140 = 27x - 189
or, 7y - 27x = -49----------------------------------------(4)
The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D
Hence, the pair of equations which has (2,12) as its solution is,
equation B and equation C.
A pasta factory made 7.8 pounds of pasta in 8 minutes. How much pasta, on average, did the factory make each minute?
Answer:
0.975 pasta pounds per minutes
Step-by-step explanation:
8 (X amount of pasta) = 7.8 Pounds
x= 7.8/8
x = 0.975
What is the slope of the line that contains the points (-2,5) and (6-3)
Answer: m = -1
Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).
Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.
-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.
Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.
The variable that's used to represent slope is m.
Which regression equation best fits these data?
Answer:
the answer is b
Step-by-step explanation:
trust me im looking at the answer rn
Answer:
B
Step-by-step explanation: A.P.E.X
x=—2; x+3y=4 what is y’s value
Answer:
x = -2
x+3y = 4
This is the substitution method. You need to plug the -2 in x's place to get y.
-2+ 3y = 4
3y = 4+2
3y = 6
y= 6/3
y= 2
Look at the image and answer You ONLY GET POINTS FOR ANSWERING CORRECTLY
Answer:
the measure of xy is 9
Solve the equation. Simplify your answer if possible.
(1/8)t-(5/2)=1
Answer:
The answer is, t = 28.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1
8
t+
−5
2
=1
Step 2: Add 5/2 to both sides.
1
8
t+
−5
2
+
5
2
=1+
5
2
1
8
t=
7
2
Step 3: Multiply both sides by 8.
8*(
1
8
t)=8*(
7
2
)
t=28
In △FEG , point H is between points E and F, point J is between points F and G, and HJ¯¯¯¯¯∥EG¯¯¯¯¯ .
EH=14 , HF=26 , and FG=60 .
What is FJ ?
Answer:
[tex]FJ=39\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
△FEG is similar with △FHJ -----> by AA Similarity Theorem
so
[tex]\frac{FE}{FH}=\frac{FG}{FJ}[/tex]
we have
[tex]FE=HF+EH=26+14=40\ units[/tex]
[tex]FH=HF=26\ units[/tex]
[tex]FG=60\ units[/tex]
substitute the given values
[tex]\frac{40}{26}=\frac{60}{FJ}[/tex]
[tex]FJ=26(60)/40\\FJ=39\ units[/tex]
Answer:
The answer is 39!!
Step-by-step explanation:
What is the answer to -1/2(1/4x-3/8)
Use the rule (x,y) (y,-x) to graph the image of the triangle at right.
Step-by-step explanation:
Transforming the coordinates from (x, y) to (y, x) leaves the triangle unchanged.
Step-by-step explanation:
When the coordinates are being transformed from (x, y) to (y, x) such that A(1,3) B(-3,4) C(-4,2) are transformed to A(3,1) B(4,-3) C(-4,2), the nature of the triangle remains the same. In other words, it doesn't turn either way. The reason is because the coordinates are the points of intersection between x and y so whichever axis (x or y axes) is plotted first does not transform the given shape.
Answer:
7
Step-by-step explanation:
What is the average speed of a car that travels 80 km in 1.5 hours
Answer:
53 1/3 km/h
Step-by-step explanation:
The car is going at 80km in 1.5 hours, so if you divide that value you get 26 2/3 km for every half hour, now you would want to multiply this times 2 to find the value for every hour, so then this would give you the answer 53 and 1/3 kilometers per hour.
Show whether the point (3,5) satisfies the inequality
y> 2x -4.
Answer with supporting work:
Answer:
true
Step-by-step explanation:
2*3=6-4=2 5>2 yeaaaaaa
Please help.....no one would help me so PLZZZZ
Answer:
Step-by-step explanation:
a) r = 10/2 = 5 feet
Area of floor =πr² =3.14*5*5 = 78.5 feet²
B) h = 3 foot
Volume of cylinder = πr²h = 3.14*5*5*3 = 235.5 cubic feet
Volume of hemisphere =2/3πr³= 2*3.14*5*5*5/3=261.67 cubic feet
Volume of space inside the observatory = 497.17 cubic feet
What is the sum of 9/10+3/8 ?
A. 3/20
B. 21/40
C. 1 9/40
D. 1 11/40
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 years.
Answer:
Debra needs to buy 32 bottles of a quarter of fertilizer, that will cost her $ 473.28 to fertilize her garden of 1,008 square feet or 112 square yards of area.
Correct statement and question:
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of fertilizer cost $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden, how many cups of fertilizer did she need? How can you persevere in solving this problem? And what's the answer?
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question properly:
Length of the garden = 12 yards
Width of the garden = 9 1/3 = 9.33 yards
Cost of a bottle of fertilizer = $ 14.79
Ratio of fertilizer : water for the garden = 1/8 cup for each square foot
2. How many cups of fertilizer did she need?
For answering the question, we need to know the area of the garden and convert it to square feet, this way:
Area = Length of the garden * width of the garden
Area = 12 * 9.33 = 111.96 square yards, that we will round to 112
Let's recall that 1 square yard = 9 square feet
Area = 112 * 9 = 1,008 square feet
Now, we can calculate the cups of fertilizer needed:
Cups of fertilizer = 1,008/8 = 126
Finally, for calculating how many bottles of fertilizer does Debra need to buy, let's assume that each bottle has a quart because that information wasn't given to us.
Let's recall that 1 cup = 1/4 quart
126 cups = 32 quarts ⇒ 32 bottles
Cost of 32 bottles of fertilizer = 32 * 14.79
Cost of fertilizer = $ 473.28
The subject of this question is Mathematics.
Explanation:The subject of this question is Mathematics because it involves measuring the dimensions of a rectangular vegetable garden.
how many cups of milk are in a 0.870 gallon of milk
Answer: The Answer would be 18.6 cups.
Step-by-step explanation: Kinda dont know how to explain it lol
-3/5 x 2/-9 x 8 write your answer in simplest form.
Answer:
16/15
Step-by-step explanation:
[tex]\dfrac{-3}{5}\cdot\dfrac{2}{-9}\cdot 8=\dfrac{3\cdot 2\cdot 8}{5\cdot 9}=\dfrac{2\cdot 8}{5\cdot 3}=\dfrac{16}{15}[/tex]
The two minus signs cancel, so the result is positive.
Complete the proof to show that ABCD is a
parallelogram.
BC || AD and CD || BĀ because the
Therefore,
ABCD is a parallelogram because both pairs of opposite
sides are parallel
B(-3,4)
_C(2,2)
lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal
-5-4
-3
A(-2,-2)
D(3-4)
The slope of is 4-2--
The slope of AD is 4-4-3) -
2 - -
Save and Exit
Next
Subunit
Answer:
length iof opposite sides are equal
Step-by-step explanation:
Final answer:
To prove ABCD is a parallelogram, we showed that the given pairs of opposite sides are parallel and the slopes of opposite sides are equal, confirming the definition of a parallelogram.
Explanation:
To complete the proof that ABCD is a parallelogram, we must show that both pairs of opposite sides are parallel and that the lengths of opposite sides are equal or that the slopes of opposite sides are equal. Since it's given that BC is parallel to AD and CD is parallel to AB, the condition for parallel sides is satisfied. To fulfill the second condition, we calculate the slopes of the sides.
The slope of BC is calculated using the coordinates of B(-3,4) and C(2,2):
Slope of BC = (4 - 2) / (-3 - 2) = 2 / -5
The slope of AD, using the coordinates A(-2,-2) and D(3, -4), is:
Slope of AD = (-4 - (-2)) / (3 - (-2)) = (-2) / 5
Because the slopes of BC and AD are negative reciprocals, BC and AD are parallel. A similar calculation can be made for AB and CD, using their corresponding coordinates, to confirm that their slopes are equal. Thus, because both pairs of opposite sides are parallel, ABCD is a parallelogram.
Help me please, thanks .....
To find how much each friend get's we can put this into a ratio or fraction. 4/6 is the fraction of apples to friends. This can be simplified;
4/6 = 2/3 (Each person gets 2/3 of an apple)
Best of Luck!
Round 63.094 to one decimal place
Answer:
63.1∅∅
Step-by-step explanation:
Answer:
63.1
Step-by-step explanation:
If you are rounding anything, look at the number before. If its 5 or above, move the next number up. If its 4 or below, just keep the number the same. In this case the number is .094. The 4 is irrelevant because we are rounding in the tenths not the hundreths. So we look at the next one. Its a 9 there for round it up so you have 63.1
2726 divided by 36 = ?
Answer:
75.7(repeating)
Step-by-step explanation:
give me the answer to 588 multiplied by 48
Answer:
28,224
Step-by-step explanation:
use photomath it will help u with math problems.
Answer:28224
Step-by-step explanation:
A certain forest covers an area of 2300 km^2. Suppose that each year this area decreases by 4%. What will the area be after 12 years?
Round your answer to the nearest square kilometer.
The value of area after 12 years is 1409 square kilometer
Solution:
Given that,
A certain forest covers an area of 2300 square kilometer
Suppose that each year this area decreases by 4%
To find: Area after 12 years
This is decreasing function
The decrease function is given as:
[tex]y = A(1-r)^t[/tex]
Where,
y is the value after t years
A = initial amount
r = decreasing rate in decimal
t is the number of years
Here in this sum,
A = 2300
t = 12 years
[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]
Substituting the values in formula,
[tex]y = 2300(1-0.04)^{12}\\\\y = 2300(0.96)^{12}\\\\y = 2300 \times 0.612709\\\\y = 1409.23 \approx 1409[/tex]
Thus value of area after 12 years is 1409 square kilometer
Marcos mom gave him d dollars for his allowance one week. he also earned $14.55 for his newspaper route that week. How much money does Marco have? Write your answer as an expression.
Marco has ( d + 14.55 ) $
Step-by-step explanation:
Marco's mom gave him d dollars for his allowance one week.
Allowance of one week = d $
He also earned $ 1 4 . 5 5 for his newspaper route that week.
Earning of Marco by selling newspaper route that week = 14.55 $
Total earning = Allowance of one week + Earning of Marco by selling newspaper route that week
Total earning = ( d + 14.55 ) $
So Marco has ( d + 14.55 ) $
Answer:
Step-by-step explanation:
the sum of two numbers is 22. the difference is 6 what are the two numbers?
Answer:
8,14
Step-by-step explanation:
Let one number = x
Other number = 22-x
x - (22-x) = 6
x - 22 +x =6
2x = 6 + 22
2x = 28
x = 28/2
x = 14
Other number = 22 - 14 =8
DIG DEEPER If items plugged into a circuit use more than 2400 watts of electricity, the circuit overloads. A portable heater that uses 1050 watts of electricity is plugged into the circuit.
The additional numbers of watts you can plug in without overloading the circuit is
You can add 1350 additional watts without overloading the circuit.
Step-by-step explanation:
Given,
Circuit overloads at 2400 watts
Electricity used by heater = 1050 watts
Let,
x be the number of additional watts.
Electricity used by heater + Additional watts ≤ Circuit's capacity
[tex]1050+x\leq 2400[/tex]
Subtracting 1050 from both sides
[tex]1050-1050+x\leq 2400\\x\leq 1350[/tex]
You can add 1350 additional watts without overloading the circuit.
Keywords: inequality, subtraction
Learn more about subtraction at:
brainly.com/question/8223783brainly.com/question/8196933#LearnwithBrainly
If a circuit can handle up to 2400 watts, and a heater using 1050 watts is already plugged in, an additional 1350 watts of electrical devices can be plugged in without overloading the circuit.
Explanation:The subject at hand is related to electrical power and circuits. In electrical circuits, overloading occurs when more electrical power is drawn than the circuit can safely handle. This limit in your scenario is represented as 2400 watts of electricity. If a portable heater using 1050 watts of electricity is already plugged into the circuit, you subtract the wattage of the heater from the maximum wattage to find out how much more you can add without overloading the circuit.
So, we calculate 2400 watts (total wattage that the circuit can handle) - 1050 watts (wattage used by the heater) = 1350 watts. Therefore, you can plug in additional items up to 1350 watts without overloading the circuit.
Learn more about Circuit Overloading here:https://brainly.com/question/32757467
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If it takes a whole can of tuna to make 16 servings of tuna salad, what percent of the can will it take to make 5 servings of tuna salad?
Answer:
31.25%
Step-by-step explanation:
Percent of can = 5/16 × 100%
= 31.25%
The 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
If it takes a whole can of tuna to make 16 servings of tuna salad,
Percent of can = 5/16×100
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
Percent of can = 31.25 %
Thus, the 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.
Learn more about the percentage here:
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What is 110% expressed as a fraction? 55/5 110%/1 11/10
Answer:
11/10
Step-by-step explanation: