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3 years ago

An integer 2 less than 4 times another. If the product of the two integers is 90 then find the integers

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Let x and y be the 2 integers.

Then x = 4y - 2

and xy = 90

Substitute for x in the second equation:-

(4y - 2)y = 90

4y^2 - 2y - 90 = 0

2y^2 - y - 45 = 0

(2y + 9)(y - 5) = 0

so y = 5 ( as it is an integer)

and x = = 90/5 = 18

Answer:- The 2 integers are 5 and 18.

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Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)

sergiy2304 [10]

(−v)(p)+40<95

−pv+40+−40<95+−40

−pv<55

-pv/-p < 55/-p

v > -55/p

your final answer is -55/p

5 0

3 years ago

Read 2 more answers

Write a linear equation. Explain it in number please! 20 points!!!

juin [17]

To find a linear question, we must have two points on the line and we must know the slope.

Let us choose two points at random:

(-6,12) and (-5,14)

Now let us find the slope of the linear line:

$m = \frac{y2-y1}{x2-x1} =\frac{14-12}{-5--6} = 2$

So the slope is 2.

Now let us set up the equation which now requires only one point and the slope

let us use the point (-6,12) and the slope of 2

$y-12 = 2(x+6)\\y = 2x +12 +12\\y= 2x +4$

So the linear line is y = 2x + 4.

Hope that helps!

8 0

2 years ago

A flare is launched from a life raft with an initial upward velocity of 192 feet per second. How many seconds will it take for t

AVprozaik [17]

So you want height to be 0 so you plug zero into the height and solve from there. You subtract 192 from both sides to get -192=-16tsquared. Then you would divide by -16 and end up with 12 = t^2. Then you find the square root of 12 and get t = 3.464 seconds.

7 0

3 years ago

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi. a. 3 inches. b. 6

sergejj [24]

Volume of cone = (1/3)pi*r²h

56.52 = (1/3)*3.14*r²*6

56.52/(2*3.14) = r²

9 = r²

r² = 9

r = √9

r = 3

Diameter = 2*r = 2*3 = 6 inches. b.

3 0

3 years ago

PLEASE HELP ASAP PLEASE

emmainna [20.7K]

Answer:

The equation that represents the line passing through the point (2, -4) with a slope of one half is

$f(x) = \frac{1}{2}x - 5$