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3 years ago

Find the x-intercept for the line represented by this equation. y=5x-2

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis. At this point on the x- axis the y- coordinate is zero.

To find the x- intercept let y = 0 in the equation and solve for x, that is

5x - 2 = 0 ( add 2 to both sides )

5x = 2 ( divide both sides by 5 )

x = $\frac{2}{5}$ ← x- intercept

coordinates of x- intercept are ( $\frac{2}{5}$ , 0 ) → C

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Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.

Alex

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3 years ago

Slope =1 /2 point passes through the (-8,1) what is the equation

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3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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3 years ago

The probabilty of getting an A in math is 0.65 and the probability of getting an a in science is 0.62 whats the probability of g

ruslelena [56]

Answer:

The probability of getting an a in both courses is 1.27

Step-by-step explanation:

Probability of getting A in Math, P(M) = 0.6 5

Probability of getting A in Science, P(S) = 0.62

Required probability of getting A in both courses, P(M and S)

= P(M) + P(S)

= 0.65 + 0.62

= 1.27

6 0

3 years ago

What is the value of x

jok3333 [9.3K]

Answer:

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

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3 years ago