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3 years ago

Question 14 of 20 :

Mathematics

1 answer:

monitta3 years ago

8 0

Answer:

Step-by-step explanation:

-17 < -1

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What is the answer of 1 1/6 + 3 5/8 A. 5 ½ B. 5 ⁵⁄₁₄ C. 1 ⅙ D. 4 ¹⁹⁄₂₄

solmaris [256]

D. 4 19/24
(WORK BELOW)

5 0

2 years ago

The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0

3 years ago

Write 3 numbers less than 50 that have exactly 3 factors

tino4ka555 [31]

Answer:

10,20,40

Step-by-step explanation:

They all have a factor of 2,10, and 1

6 0

3 years ago

What is the slope-intercept form of the equation of the line with the slope of -5/8 that passes through the point (-14,6)

inessss [21]

Step-by-step explanation:

y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)

slope = m = -5/8

x1 = -14

y1 = 6

y-6 = -5/8 (x--14)

y-6 = -5/8 (x+14)

y-6 = -5/8x-70/8

y-48/8= -5/8x-70/8

y = -5/8x - 22/8

When x = 0, y = -22/8, which makes (0, -22/8) your y intercept

5 0

3 years ago

What is the slope of the line given by the equation y=-1/3x? Entee your answer as an integer or fraction in lowest terms.

Serhud [2]

-1/3

really? it's that easy dude.

whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.

hope it helped.

6 0

3 years ago