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3 years ago

What is the y-intercept of the function f(x) = –2/9 + 1/5

1 answer:

4 0

The equation has no X variable so whatever that adds up to becomes the y-intercept.

- 2/9 + 1/5 >> - 10/45 + 9/45 = - 1/45

Your y-int is - 1/45 or (0, - 1/45)

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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

ankoles [38]

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

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

$y^{\prime}=\frac{d y}{d x}=1$

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

7 0

3 years ago

Kal is making 3 batches of cookies. Each batch calls for 3/4 cups of sugar. How much sugar will Kal use for all 3 batches?

balu736 [363]

Answer:

2 1/4 cups of sugar

Step-by-step explanation:

You could change 3/4 to a decimal which is .75

Then multiply that by 3

The result was 2.25, so you would convert that into a fraction which would be 2 1/4

8 0

3 years ago

-5y - 6bStep 1 of 2: Identify the first term of the algebraic expression. Indicate whether theterm is a variable term or a const

ira [324]

Answer:

a. Variable term

b. Variable term

Explanation:

a) We were given the algebraic expression:

$-5y-6b$

The first term of the algebraic expression is:

$-5y$

The first term is a variable term

The variable is "y" and its coefficient is "-5"

b) We were given the algebraic expression:

$-5y-6b$

The second term of the algebraic expression is:

$-6b$

The second term is a variable term

The variable is "b" and the coefficient is "-6"

6 0

1 year ago

The diagram below is divided into equal parts. Which shows the ratio of unshaded section to shaded sections

xxTIMURxx [149]

Answer:

its D

Step-by-step explanation:

3 0

2 years ago

mr. Choi spent $23 at the mall. If he left the mall with $59, how much money did he have when he first arrived at the mall?

Temka [501]

Answer: 82

Step-by-step explanation:

59+23=82

Check

82-23=59

8 0

3 years ago