2 years ago

To make coffee for 4 people, Mrs. Smith needs 1 cup of milk. How many cups of milk does she need to make coffee for 10 people?

Mathematics

2 answers:

disa [49]2 years ago

7 0

Use the proportion, 4/1 = 10/x

solve for x = B. 2.5

Please brainliest me if this helped; trying to level up!

ludmilkaskok [199]2 years ago

7 0

Answer:

the answer is b

Step-by-step explanation:

i took the quiz

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A curve is given by y=(x-a)√(x-b) for x≥b, where a and b are constants, cuts the x axis at A where x=b+1. Show that the gradient

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Answer:

A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.

Solution:

We need to show that the gradient of the curve at A is 1

Here given that ,

$y=(x-a) \sqrt{(x-b)}$ --- equation 1

Also, according to question at point A (b+1,0)

So curve at point A will, put the value of x and y

$0=(b+1-a) \sqrt{(b+1-b)}$

0=b+1-c --- equation 2

According to multiple rule of Differentiation,

$y^{\prime}=u^{\prime} y+y^{\prime} u$

so, we get

${u}^{\prime}=1$

$v^{\prime}=\frac{1}{2} \sqrt{(x-b)}$

$y^{\prime}=1 \times \sqrt{(x-b)}+(x-a) \times \frac{1}{2} \sqrt{(x-b)}$

By putting value of point A and putting value of eq 2 we get

$y^{\prime}=\sqrt{(b+1-b)}+(b+1-a) \times \frac{1}{2} \sqrt{(b+1-b)}$

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Hence proved that the gradient of the curve at A is 1.

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2 years ago