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Mila [183]
2 years ago
5

Eighth grade

Mathematics
1 answer:
Ymorist [56]2 years ago
7 0

Answer:

b = 1

Step-by-step explanation:

Given the equation is:

- 5b + 2b - (-b) + 7 = 5

We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:

- 5b + 2b - (-b) + 7 - 7 = 5 - 7

⇒ - 5b + 2b - (-b) = - 2

Now, simplifying the terms with 'b'.

⇒ -5b + 2b + b = - 2

⇒ (-5 + 2 + 1)b = - 2

⇒ -2b  = -2

Dividing both the sides by -2, we get:

b = 1 which is the required answer.

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Simple....

\frac{3}{4} x\ \textless \  \frac{9}{2}

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Thus, your answer.
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Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0,
mafiozo [28]

9514 1404 393

Answer:

  • maximum: 15∛5 ≈ 25.6496392002
  • minimum: 0

Step-by-step explanation:

The minimum will be found at the ends of the interval, where f(t) = 0.

The maximum is found in the middle of the interval, where f'(t) = 0.

  f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)

This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...

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The absolute maximum on the interval is 15∛5 at t=5.

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2 years ago
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Gwar [14]

Answer: The required point is A(6, 3) in the attached graph.

Step-by-step explanation:  We are to find the point on the given graph that shows the price of 6 ounces of cheese.

The formula to be used is given by

y=x\div 2\\\\\Rightarrow y=\dfrac{x}{2}~~~~~~~~~~~~~~~~(i).

Given that,

when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.

when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.

when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.

Therefore, these points satisfy the given relation (i).

Hence, if x = 6, then from equation (i), we have

y=\dfrac{x}{2}=\dfrac{6}{2}=3.

Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.

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Answer:

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Step-by-step explanation:

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