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2 years ago

Find the x-intercept and the y-intercept of 2x + 6y =24

Mathematics

1 answer:

viktelen [127]2 years ago

4 0

Answer:

x-intercept = 12, y-intercept = 4

Step-by-step explanation:

To find the x and y intercept, substitute 0 in for both values.

Substitute 0 into x:

2(0) + 6y = 24

6y = 24

Divide each side by 6:

y = 4

Substitute 0 into y:

2x + 6(0) = 24

2x = 24

Divide each side by 2:

x = 12

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You want to determine if eating more fruit reduces a person's chance of developing cancer. You watch people over the years and a

ycow [4]

Answer:

Prospective study

Step-by-step explanation:

Also known as a cohort study, the type of study that follows a certain group of individuals over time to reach conclusions about the data gathered at a future date is called a prospective study. Since the aim of this study is to see who develops cancer in the future, this is a clear example of a prospective study.

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4 years ago

find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

7 0

3 years ago

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4

ch4aika [34]

3 log 2x = 4

==> log 2x = 4/3

==> 2x = 10^(4/3)

==> x = \frac{10^(4/3)}{2}

7 0

3 years ago

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe

Llana [10]

Q = 3s - 9/6
q = 3(s - 3)/6
q = s - 3/2

6q + 9 = 3s
6q + 9/3 = s
3(2q + 3)/3 = s
2q + 3 = s
s = 2q + 3

5 0

4 years ago

Can someone help me with the areas?

9966 [12]

Answer:

for 1. it is 99 and for 3. it is 343.75

Step-by-step explanation:

for 1. you have to just multiply the length with width

for 3. you have to add both bases (35+20) and multiply the height (55 x 12.5) to it and then divide it by 2 (687.5 / 2)

hope this helps! please heart <3

8 0

2 years ago

Read 2 more answers