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3 years ago

Identify the slope and y-intercept of the following equation: 3x - 2y = -10

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

m=3/2,y-int=5

Step-by-step explanation:

y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2

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Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give

Inga [223]

Answer:

y = 1/e

y = 0.37

Step-by-step explanation:

y = (ln x)/x; (e, 1/e)

Step 1

Find the point of tangency.

It's given as (e,1/e) or (2.72,0.37)

Step 2

Find the first derivative, and evaluate it at x=e

Using product rule.

d(uv) = udv + vdu

Where u = lnx and v = 1/x

du = 1/x , dv = -1/x^2

f'(x) = -lnx/x^2 +1/x^2

f'(x) = (1-lnx)/x^2

At x = e

f'(e) = (1-lne)/e^2

f'(e) = 0

The slope of the tangent line at this point is m= 0

Step 3

Find the equation of the tangent line at (e,1/e) with a slope of m=0

y−y1 = m(x - x1)

y-(1/e) = 0(x-1)

y = 1/e

y = 0.37

6 0

3 years ago

Chris uncle from japan promised to give him 42 g of gold .The local jewelry exchange will buy gold for $1286 per once.How much m

Tanzania [10]

Answer:

Chris will make $1905.22 by selling gold.

Step-by-step explanation:

Amount of gold Chris will have = 42 g

Current rate of gold = $1286 per ounce

We need to find the amount Chris will make after selling the gold.

Now we will first find Current rate of gold in grams.

We know that 1 ounce = 28.3495 grams.

So we can say that

28.3495 g = $1286

So 1 g = Rate of gold for 1 gram.

By Using Unitary method we get;

Rate of gold for 1 gram = $\frac{1286}{28.3495} \approx \$45.3624$

Now we will find the amount for 42 g of gold

if 1 g = $45.3624

so 42 g = Amount of money for 42 g

Again by using Unitary method we get;

Amount of money for 42 g = $42 \times 45.3624 \approx \$1905.22$

Hence Chris will make $1905.22 by selling gold.

4 0

3 years ago

What is the volume of a sphere with a radius of 3 inches

posledela

$The\ volume\ of\ a\ sphere:V=\dfrac{4}{3}\pi R^3\\\\R=3\ in\\\\V=\dfrac{4}{3}\pi\cdot3^3=\dfrac{4}{3}\pi\cdot27=4\pi\cdot9=36\pi\\\\Answer:\boxed{V=36\pi\ in^3}$

7 0

3 years ago

Alexandra rented a costume for $39 per day.

lukranit [14]

1 day = $39
3 days = $39 x 3 = $117

Deposit = $167 - $117 = $50

Answer: Deposit = $50

7 0

3 years ago

Explain how you can find a fraction that is equivalent to 1/4

sergij07 [2.7K]

Ok so basically you have to find an fractions that simplifies to 1/4. So 2/8 is a good example of a equivalent fraction

8 0

3 years ago