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stepladder [879]
3 years ago
11

The function f(a) 260 - 55x represents the distance, in miles, remaining on a trip x hours

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

260 - 55(3)

55(3)

260 - 165

= 95

Step-by-step explanation:

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Dominic runs a farm stand that sells peaches and grapes. Yesterday Dominic sold 34 pounds of peaches and 45 pounds of grapes for
scoray [572]

Answer:

34x + 45y = 192.25

47x + 16y = 208

Step-by-step explanation:

Let x stand for peaches.

Let y stand for grapes.

Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.

We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.

6 0
3 years ago
Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

5 0
3 years ago
Determine if true:<br> 24+24-8x2=80
Savatey [412]
Answer:true

Explanation:
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40x2=80
80=80!

So it is true.
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2 years ago
A company lost $1.2 million in its first year, lost $0.9 million in the second year, and lost
EleoNora [17]

Answer:

1.2 million

Hope it helps!

7 0
2 years ago
Manuel bought a balloon (that is a perfect sphere) with a radius of 2 cm. He wanted his balloon to be bigger, so he blew 2 big b
horsena [70]
What is the question asking?
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3 years ago
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