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scZoUnD [109]
3 years ago
5

Direction: Choose the letter of the best answer and we

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

To find (g ○ f)(x), substitute x = f(x) into g(x) , that is

g(2x - 5)

= 3(2x - 5) + 4

= 6x - 15 + 4

= 6x - 11 → C

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Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
SOVA2 [1]
Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
<span>
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
</span>
The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
</span>
But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25


Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
</span>
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
</span><span>
Writing the equation using the function notation would give us this
f(x) = 50x + 25


Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
6 0
3 years ago
Liam works in a toy store that sells bags of marbles. he put 10 marbles in each bag and 2/10 of the marbles are striped. if Liam
Ede4ka [16]
10 marbles in each bag...2/10 are striped...2/10(10) = 20/10 = 2 are striped.So in every bag of 10 marbles, 2 are striped. So if there is 3 bags of marbles....then (3 x 2) = 6 are striped. <== he needs 6 striped

7 0
3 years ago
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33% of what number is 1.45? Round to the nearest tenth.
tatuchka [14]

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

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3 0
3 years ago
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kirill115 [55]

Answer:

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Step-by-step explanation:

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4 0
4 years ago
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The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best expla
katovenus [111]

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

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