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3 years ago

ARI

Mathematics

1 answer:

dezoksy [38]3 years ago

3 0

Answer:

f(x)= 1/2x + 2

Step-by-step explanation:

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On Sunday, Antonio spent a total of 3 1/4 hours driving and 1 3/4 hours gardening. How much longer did he spend driving than gar

sergeinik [125]

3 1/4 = 13/4

1 3/4 = 7/4

13/4-7/4= 6/4

6/4= 1 1/2 hours more

7 0

3 years ago

Need please help with the answer

Sladkaya [172]

Step-by-step explanation:

the volume of a rotating solid out of an xy area in a certain interval is pi times the integral of that area squared (because we are emulating adding the volumes of cylinder slices) in that interval along the given axis.

if that area is defined as the difference between 2 curves, then that difference (of the squares) has to be integrated.

the "outer" curve is y = x² + 3 = R, because it has always the larger y values compared to y = 2x + 1 = r.

the volume of an outer cylinder slice is

pi × R² × dx

and of an internal cylinder slice is

pi × r² × dx

therefore, the volume of the difference "washer" cylinder is

pi×R²×dx - pi×r²×dx = pi×(R² - r²)×dx

and now integrating the infinitely thin washers across the interval [0, 2].

R² = (x²+3)² = x⁴ +6x² + 9

r² = (2x+1)² = 4x² + 4x + 1

R² - r² = x⁴ + 2x² - 4x + 8

the integral of (R² - r²)dx :

1/5 x⁵ + 2/3 x³ - 4/2 x² + 8x = 1/5 x⁵ + 2/3 x³ - 2x² + 8x

in the interval of [0, 2] that gives us

1/5 2⁵ + 2/3 2³ - 2×2² + 8×2 - 0 = 32/5 + 16/3 - 8 + 16 =

= 32/5 + 16/3 + 8 = 96/15 + 80/15 + 120/15 = 296/15

and as final step multiplying this by pi :

296pi/15 = 61.99409503... units³ ≈ 62 units³

3 0

2 years ago

What form of a linear equation is y - 6 = -4(x + 2) ?

Softa [21]

Answer:

Point slope form

Step-by-step explanation:

Given

$y - 6 = -4(x + 2)$

Required

Determine the form of linear equation

A linear has just three forms:

1. The slope intercept form.: This is always in form of $y = mx + b$

2. The point slope form: This is always in form of $y - y_1 = m(x - cx_1($

2. The standard form: This is always in form of $Ax + Bxx = c$

<em>By comparison, the three forms with the question, we can see that option B answers the question.</em>

3 0

3 years ago

PLEASE HELP WHAT IS THE SLOPE OF THIS LINE

Rainbow [258]

Answer: A. $\frac{3}{2}$

Step-by-step explanation:

To find the slope we must find the change in y over the change in x. Δ

Or rise over run. $\frac{rise}{run}$

In the graph, we have two "good" points. (0, -6) and (4,0)

So for Δy 0 to -6 = -6

So -6 goes on top $\frac{-6}{x}$

Now Δx goes from 4 to 0 so the change would be -4.

So now it becomes $\frac{-6}{-4}$

Since there are two negatives it becomes a positive. $\frac{6}{4}$ Or simply put, $\frac{3}{2}$

4 0

1 year ago

Please help! I couldn't find the right answers.

zavuch27 [327]

I guess 9 year I'm not sure though

3 0

3 years ago