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2 years ago

8. MGSE7.SP.5 & 7: Henry is playing a game using a bag of tokens that contains exactly 28

Mathematics

1 answer:

Anna35 [415]2 years ago

4 0

Jump is the worst worst movie I’ve ever seen in my life and I hate you lol

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

5 0

3 years ago

Write an equation in point-slope form for each line.<br> (If possible please show work)

Free_Kalibri [48]

Answer:

slope is calculated this way:

$\frac{3 - 6}{2 - 1} = \frac{ - 3}{1} = - 3$

let's calculate y init by:

3 = -3×2 + b

b = 9

so equation is:

y=-3x+9

6 0

3 years ago

Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,

vichka [17]

K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
k=8

5 0

4 years ago

Question

marin [14]

Answer:

Step-by-step explanation:

From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0

x = 3 [x-intercept]

Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.

g(x) = $2+\sqrt[3]{3x+1}$

For x-intercept,

g(x) = 0

$2+\sqrt[3]{3x+1}=0$

3x + 1 = (-2)³

3x + 1 = -8

3x = -8 - 1

3x = -9

x = -3

Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.

4 0

3 years ago

A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?

choli [55]

There is 9 serving of 7 fluid ounces with a remainder of 1 fluid ounce

if you meant 8 fluid ounce servings then it would be 8 servings with no remainder

5 0

3 years ago