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3 years ago

What is the name of the period that has 913 in the number 913,256

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

thousands period is the answer

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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]

<u>Answer:</u>

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

<u>Solution:</u>

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

Bill's Bargains sells 16 ounces of Circle O's cereal for $3.36. Debbie's Deals sells 40 ounces of Circle O's cereal for $7.60. W

astraxan [27]

Answer:

Debbie's Deals has the better deal with a price of $0.19 per ounce compared to Bill's Bargains at $0.21 per ounce.

Step-by-step explanation:

Divide $3.36 by 16 = $0.21

Divide $7.60 by 40 = $0.19

Debbie's Deals sells the Circle O's cereal for a cheaper per ounce price thus it's the better price and the better deal.

Good luck!

7 0

3 years ago

Simplify.

alexgriva [62]

Answer:

It's - 17x trust me it's right

7 0

3 years ago

I cant figure this out

aksik [14]

Answer:

Step-by-step explanation:

660

4 0

3 years ago

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0

3 years ago

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