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Xelga [282]
3 years ago
5

What’s the range of this?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

10 to 35

Step-by-step explanation:

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How much is a book that is regularly priced at $62.85 when it is 1/3 off?
Marina86 [1]

Answer:

$41.9

Step-by-step explanation:

divide $62.85 and get 20.95 which is 1/3 of it so then you just subtract $20.95 from $62.85 and get 41.9

3 0
3 years ago
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What is the x-intercept of y=5x+20?
densk [106]

Answer:

the x intercept is -4

Step-by-step explanation:

to find the x intercept, set y = 0 and solve for x

y = 5x+20

0 = 5x+20

subtract 20 from each side

-20 = 5x +20 -20

-20 = 5x

divide each side by 5

-20/5 = 5x/5

-4 =x


7 0
3 years ago
Find the equation of the line that goes through the point
Yuliya22 [10]

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

7 0
3 years ago
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(a) The function k is defined by k(x)=f(x)g(x). Find k′(0).
Brut [27]

Answer:

(a) k'(0) = f'(0)g(0) + f(0)g'(0)

(b) m'(5) = \frac{f'(5)g(5) - f(5)g'(5)}{2g^{2}(5) }

Step-by-step explanation:

(a) Since k(x) is a function of two functions f(x) and g(x) [ k(x)=f(x)g(x) ], so for differentiating k(x) we need to use <u>product rule</u>,i.e., \frac{\mathrm{d} [f(x)\times g(x)]}{\mathrm{d} x}=\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}

this will give <em>k'(x)=f'(x)g(x) + f(x)g'(x)</em>

on substituting the value x=0, we will get the value of k'(0)

{for expressing the value in terms of numbers first we need to know the value of f(0), g(0), f'(0) and g'(0) in terms of numbers}{If f(0)=0 and g(0)=0, and f'(0) and g'(0) exists then k'(0)=0}

(b) m(x) is a function of two functions f(x) and g(x) [ m(x)=\frac{1}{2}\times\frac{f(x)}{g(x)} ]. Since m(x) has a function g(x) in the denominator so we need to use <u>division rule</u> to differentiate m(x). Division rule is as follows : \frac{\mathrm{d} \frac{f(x)}{g(x)}}{\mathrm{d} x}=\frac{\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}}{g^{2}(x)}

this will give <em>m'(x) = \frac{1}{2}\times\frac{f'(x)g(x) - f(x)g'(x)}{g^{2}(x) }</em>

on substituting the value x=5, we will get the value of m'(5).

{for expressing the value in terms of numbers first we need to know the value of f(5), g(5), f'(5) and g'(5) in terms of numbers}

{NOTE : in m(x), g(x) ≠ 0 for all x in domain to make m(x) defined and even m'(x) }

{ NOTE : \frac{\mathrm{d} f(x)}{\mathrm{d} x}=f'(x) }

4 0
3 years ago
Please help i have such a low GPA and i have to get it up so i can get into high school 100 points
enyata [817]

Answer:

<em>Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.</em>

<em />

<em>a) The volume of a cylinder is the area of the base * height</em>

<em />

<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>

<em />

<em>The area of the base is π (d/2)^2 = π (2 in)^2  =  4π in^2.</em>

<em />

<em>The volume of the cuo is 4π in^2 * 8 in = 32π in^3.</em>

<em />

<em>Then the number of cups to take the volume of [2000 / 3] π in^2 is:</em>

<em />

<em>[2000 / 3]π / [32π] = 20.83</em>

<em />

<em>Answer: 21 cups.</em>

<em />

<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>

<em />

<em>Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3</em>

<em />

<em>And the number of cups needed is [2000π/3] / (128π) = 5.2 </em>

<em />

<em>Answer: 5 cups. </em><em>Good Luck!</em>

<em>From ~Itsbrazts~.</em>

<em />

8 0
3 years ago
Read 2 more answers
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