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2 years ago

Which is equivalent to 1/4x A.1/8x+1/8x B.1/8x+1/8 C.1/8+1/8 D.1/2x+1/2x

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Step-by-step explanation:

$\frac{1}{8} x \: + \: \frac{1}{8} x$

$\frac{2}{8} x$

$\frac{1}{4} x$

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Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

3 years ago

The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p

Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h) 1 2 3 4 5

Distance (mi) 55 100 165 280 250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0

3 years ago

What is the value of the larger zero of the function:<br><br> f(x) = 3x^2– 14x + 15?

AVprozaik [17]

Answer:

Step-by-step explanation:

can you plz tell me what this is is it a multiplt??

4 0

3 years ago

Who ever answer this first I’ll mark brainlest:)

BlackZzzverrR [31]

31^8 (31 to the 8th power)

6 0

2 years ago

Read 2 more answers

The Positive Z-Equal Line, the Negative Z-Equal Line, and the Regression Line all pass through the same point. What are the stan

Evgen [1.6K]

Answer:

The standard coordinates of the point are ; ( 0,0 )

Step-by-step explanation:

The standard coordinates of the point are ; ( 0,0 ) also the standard values of the means will also be ( 0, 0 )

This is because for the Positive Z-equal line, Negative Z-Equal line and Regression line to all pass through the same point indicates dependent and independent variables of the Z-score and regression lines respectively

4 0

3 years ago