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3 years ago

If y varies directly as x, and the constant is -3, what is the equation?

Mathematics

2 answers:

vladimir1956 [14]3 years ago

5 0

Answer:

y = -3x

Explanation:

k = -3

y ¤ x......where ¤ represents the Greek alpha sign

y = k • x

y = -3 • x

y = -3x

katovenus [111]3 years ago

4 0

is there a picture with this problem?

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4 more than twice a number

Nataliya [291]

Twice means two times something so2a. Four more than means adding for so your answer is 2a+4

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2 years ago

What is the value of 0 in the number 9,603,450,503

asambeis [7]

Answer:

Step-by-step explanation:

0 x 10

0 x 1000

0 x 10 000 000 they all equal 0

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2 years ago

Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

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3 years ago

Coefficient x^2 in the expansion of (2+x)^5

Monica [59]

Alright, expand the given equation:
(2+x) (2+x) (2+x) (2+x) (2+x)
Use FOIL method and distribution to solve
At the final answer, find the x^2 and the number that multiplies to it is the coefficient
I can't do the actually expansion for you, it would take a decently long time. You should be able to, its a good practice. Good luck!

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3 years ago

Bernard designs motorized bicycles at Smart Gear Technologies. His total earnings are

olganol [36]

Answer: $43146

Step-by-step explanation:

So his total earning is $54,000. He has to pay $201 for every $1,000 he earns. So 54,000/1,000= 54. So now he has to pay 54*201=10854, 54000-10854=43146. His net income for this year is $43146.

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3 years ago