Answer:
[tex]10x-6[/tex]
Step-by-step explanation:
[tex]f(x) = 5x+2x\\g(x)=3x-6[/tex]
[tex](f+g)(x)\\f(x)+g(x)[/tex]
[tex]5x+2x+3x-6\\10x-6[/tex]
The value of (f+g)(x) is 10x - 6
Addition of two functional equation -We are taking into consideration the following two functions f(x) and g(x). The sum of these functions can be written f(x) + g(x) or as (f + g)(x). . The sum of the two functions is the sum of the two polynomials. Or in other words, the sum of any two functions gives us the addition of the terms present inside the function.
How to find the addition (f+g)(x) given in the question ?Given functions, f(x) = 5x + 2x
and g(x) = 3x - 6
Sum of the two functions -
∴ (f+g)(x) = f(x) + g(x) = 5x + 2x + 3x - 6 = 10x - 6
Therefore (f+g)(x) = 10x - 6
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slope intercept of (2,1) and (4,0)
How much would it cost to buy 3 medium sodas and 2 hot dogs
To start off you need to figure out how much money each item costs. Now get out your calculator because it will make this process go much faster.
EXAMPLE:
If your sodas cost $2.25 EACH you need to do the following math equation
2.25 X 3 = 6.75 witch is the total you would be paying in this situation.
HOT DOGS EXAMPLE:
Lets say that your hotdogs are $4.75 PER DOG. You just need to follow the same steps above.
4.75 X 2 = 9.5 but thats not how we write money so it would be $9.50
Hope this helps,
Daniel
Answer:
depends what price it is
Step-by-step explanation:
How do I describe the translation in terms of x and y?
You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'
------------------------------------
In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.
For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.
Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.
What measures acceleration
I mean - accelerometers do, are you sure this is the correct place to post this question?
How many centimeters are in 1 mile? Use the equalities 1 mile = 5280 feet; 1 foot = 12 inches; and 1 centimeter = 0.394 inches. Student Selected Incorrect A. 5280 ∕ (12 x 0.394) cm Disabled B. 5280 x 12 x 0.394 cm Disabled C. (5280 x 12 ∕ 0.394) cm Disabled D. (5280 + 12 + 0.394) cm
What are the x and y intercepts of the line 3x-4y=12
x-intercept = 4, y-intercept = - 3
to find the intercepts, that is where the graph crosses the axes
let x = 0, in the equation for y- intercept
let y = 0, in the equation for x- intercept
x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept
y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept
Hey there...
So this is a tough question.....
Let's start with the x first, then we will go to y.
So, here is the x.
Explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.
3x-4(0)=12
x=4.
So the intercept for x = 4.
Now we have to do the y.
Explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.
3(0)-4y=12
y=-3
So the y = -3.
Hope this helps.....
Amy made the following conjecture: When any number is multiplied by itself, the product will be greater than this starting number.
For example: in 2x2=4, the product 4 is greater than the starting number 2.
Megan disagreed with Amy's conjecture, however,
[tex] \frac{1}{2 } \times \frac{1}{2} = \frac{1}{4} [/tex]
and
[tex] \frac{1}{4} [/tex]
is less than
[tex] \frac{1}{2} [/tex]
how could Amy's conjecture be improved? Explain the change(s) you would make
Amy's conjecture can be improved by including a limit. Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4). But, any number less than one (excluding zero, but including negatives) will yield a smaller result.
Amy's conjecture should be
"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"
Please help will give brainliest
Answer:
James and Logan each are eating sandwiches. Logan finished his but then stole 1/3 of James' sandwich. James still has 5 times the parts of his sandwich then Logan. What fraction of a sandwich does Logan still have left?
Step-by-step explanation:
Logan stole 1/3 of James' sandwich resulting in Logan owning James 1/3 of a sandwich.
s the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.
The line is horizontal. The slope is 0.
The line is horizontal. The slope is 1.
The line is vertical. The slope is undefined.
The line is vertical. The slope is 0.
It is horizontal and has a slope of 0.
The equation y = 1 is a horizontal line with a slope of zero.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line or linear system is given below.
y = 1
The above equation is a horizontal line with a slope of zero.
Thus, the correct option is A.
The graph is given below.
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A jug holds 4.8 liters. How many milliliters does it hold? Enter your answer in the box.
Answer:
The jug will hold 4,800 milliliters.
Step-by-step explanation:
Each liter is 1000 milliliters, and 4.8 • 100 = 4,800
The jug holds 4800 milliliters. The conversion factor is that 1 liter is equal to 1000 milliliters.
Explanation:The subject of this question is based on the concept of volume conversion, specifically from liters to milliliters. This falls within the field of Mathematics. In the metric system, volume can be measured in cubic meters (m³), liters (L), and milliliters (mL). These units of volume are used in different scenarios depending on the magnitude of the volume to be measured. One liter (L) is equal to 1 cubic decimeter (dm³), or 1,000 cubic centimeters (cm³).
One common metric conversion is from liters to milliliters. This is because 1 Liter equals 1000 milliliters.
Therefore, if a jug holds 4.8 liters, we can find the equivalent volume in milliliters by multiplying the volume in liters by 1000. In this case, 4.8 liters * 1000 equals 4800 milliliters
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Which shows the phrase the sum of a number and 8 is a variable expression?
n + 8
n - 8
8n + 8
8n
"The sum of" means addition
Let "a number" = n
n + 8, or (A) is your answer
hope this helps
The model is 18.5 inches wide and 36.5 inches tall. If the actual building is 370 feet wide, what's its height?
I got 750.278... might be wrong
Answer:
It's 730 feet
Step-by-step explanation:
Two of the angles in a triangle measure 23° and 8°. What is the measure of the third angle?
The 3 inside angles of a triangle equal 180 degrees.
You are given 23 and 8 for two of them.
Subtract the 2 given angles from 180 to find the 3rd angle.
3rd angle = 180 -23 - 8 = 149 degrees.
11 15/26 + [-17 5/13] =
11 15/26 + [-17 5/13] =
[tex]11 \frac{15}{26} = \frac{301}{26}[/tex]
[tex]-17 \frac{5}{13} = -\frac{226}{13}[/tex]
[tex]\frac{301}{26} - \frac{226}{13}[/tex]
To subtract two fractions the denominators should be same
Least common denominator = 26
We multiply second fraction by 2
[tex]\frac{301}{26} - \frac{452}{26}[/tex]
[tex]\frac{301-452}{26}[/tex]
[tex]\frac{-151}{26}[/tex]
A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold then the number of adult tickets sold = 112
Let's denote the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'.
We are given two pieces of information:
1. The total number of tickets sold is 336: A + S = 336.
2. The number of student tickets sold was two times the number of adult tickets sold: S = 2A.
Now, we can use the second equation to substitute the value of 'S' in terms of 'A' into the first equation:
A + 2A = 336.
Combine the like terms:
3A = 336.
Now, isolate 'A' by dividing both sides by 3:
A = 336 / 3.
A = 112.
So, the number of adult tickets sold (A) is 112.
In summary, to find the number of adult tickets sold, we set up equations based on the given information and then solve for the variable representing the number of adult tickets (A).
By substituting the value of 'A' back into one of the equations, we can also find the number of student tickets sold (S).
In this case, 112 adult tickets and 224 student tickets were sold to make a total of 336 tickets.
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Which relation is a function?
Its the one shaped like a V
Simplify the expression. Write your answer as a power. (2/3)^2⋅(2/3)^6
(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8
When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.
(a^b)*(a^c) = a^(b+c)
Final answer:
The simplification of the expression [tex](2/3)^2\times (2/3)^6[/tex] is obtained by adding the exponents, resulting in [tex](2/3)^8[/tex].
Explanation:
To simplify the expression[tex](2/3)^2\times (2/3)^6[/tex], we need to remember the rule of exponents which states that when we multiply two powers with the same base, we add the exponents. So in this case, we have the base (2/3) and we will add the exponents 2 and 6 together.
[tex](2/3)^2 \times (2/3)^6 = (2/3)^{(2+6)} = (2/3)^8.[/tex]
To write the answer as a power, we simply keep the same base of 2/3 and use the sum of the exponents as the new exponent. Therefore, the simplified expression is written as a power: [tex](2/3)^8[/tex]
Estimate the product of 76 × 46 by rounding both numbers to the nearest ten before multiplying.
4000. 76 rounds to 80 and 46 rounds to 50 so 80 x 50 is 4000
A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars to download a g games
Hello!
To write this equation we will use c to represent the total cost, and g to represent however many games you download.
c=12.49+0.99g
The constant rate is 12.49, that will never increase or change in our equation.
Depending on how many games you download, that will be the rate that affects our total cost.
If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.
Dwayne earns $11.45 per hour. Last week he worked 38-1/4 (mixed number) hours. How much did he earn last week?
Okay this is simple.
We willl use this equation
$11.45×38.25=X
If you do this problem you should get $437.96 as an answer
*Remember that fractions can be changed to decimals. Fractions mean division.
If interest compound at 20% per year how long will it take 50000 to accumulate to 86400
To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
Explanation:To find the time it takes for an amount to accumulate with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
where:
A is the final amountP is the principal (initial amount)r is the interest rate (in decimal form)n is the number of compounding periods per yeart is the time in yearsIn this case, we have:
50000(1 + 0.20/1)^(1*t) = 86400
Dividing both sides of the equation by 50000, we get:
(1 + 0.20)^t = 1.728
Using logarithms, we can solve for t:
t = log(1.728) / log(1.20)
t ≈ 2.56
Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
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What are 5 fractions that can simplify to 2/5
4/10
6/15
18/45
8/20
16/40
A quadratic function has a line of symmetry at x=-3.5 and zero at -9 what is the distance from the given zero to line of symmetry
If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.
A line of symmetry has equation x=-3.5 that is x+3.5=0.
Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:
[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]
Thus,
[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]
Answer: the distance is 5.5 units.
Answer:
5.5
Step-by-step explanation:
A part of a line with endpoints on both ends is a(n):
Answer: line segment
Step-by-step explanation:
omar worked 29 hours last month and earned $9 per hour. he spent $18 of his earnings since then. how much money does he have left??
To solve, we must find out how much he earned in the month. To do this, we do 29 x 9. This is done to find out how much was earned. Omar earned $261 in the month. Now we do 261-18 to find out how much is left after spending 18 dollars. We can see that Omar has $243 dollars remaining.
In 2 hours the minutes hand of a clock rotates through an angel of how many degrees?
Yes it definitely is 720 degrees.
1 round= 360 degrees
2 rounds= 2 X 360 = 720 degrees
:-)
i hate math. Expand 4(-2y + 3).
i think its -8y + 12
Answer:
-8y + 12
Step-by-step explanation:
1. Margot hiked around lake C each day. How many miles did she hike in 12 days?
2. Keenan hiked 15 times as far as Margot. How far did Keenan hike?
1. 252 beacuse 21 x 12= 252
2. 3780 Now 252 x 15=3780
Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively
The approximate distance around Lake C = 21 miles
Number of hiking days = 12
Hence, the number of miles hiked by Margot will be :
21 × 12 = 252 milesKeenan hiked 15 times as far as Margot :
Margot's mile × 15 Keenan's distance = 252 × 15 = 3780 milesTherefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively
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Multiply. What is the value of the second partial product? 26 × 107
the product
26 x 107=2,782
Answer:
2782
Step-by-step explanation:
A car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car. How many miles did a customer drive if the customers bill was $37.80? Write the variable represents, equation, and miles.
Answer:
128 miles
Step-by-step explanation:
Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.
Let us represent y as total charges and x no of miles driven
Even if x=0, y= 25 (base fee)
SO y intercept =25
Slope = charge per drive = 0.10
So equation is
y =0.1x +25
To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.
y = 37.80 and x =?
37.80=0.1x+25
0.1x = 12.80
x = 12.80/0.1 = 128 miles