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Contact [7]
3 years ago
9

The function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board, where x is the number of sh

ifts the crew is goin to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on green beans. The function c(x)=x+4. Solve for how much money must be spent when the crew is going to work 2 shifts
Mathematics
2 answers:
artcher [175]3 years ago
5 0

\bf \begin{cases} t(x)=3x+1\\ c(x)=x+4\\ c(~~t(x)~~)=[t(x)]+4 \end{cases} \\\\\\ \stackrel{\textit{the crew working 2 shifts, x = 2}}{t(2)=3(2)+1}\implies t(2)=7 \\\\\\ c(~~t(2)~~)=[t(2)]+4\implies c(~~7~~)=[7]+4\implies \boxed{c(7)=11}

bija089 [108]3 years ago
3 0

Answer:

11

Step-by-step explanation:

The function c(t(x)) means that t(x) equation must be substituted into c(x) as the value x:

c(t(x)) =3\cdot{x}+1+4

if the crew works 2 shifts x=2 and we can substutite into c(t(x)):

c(t(2)) =3\cdot{2}+1+4=11

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the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

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Answer:

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