Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
We have that an inverse variation in a function is given by:
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
Clearing k we have:
Substituting the value of k we have that the inverse variation is:
For y2 = 3 we have:
Clearing x2 we have:
Answer:
The first solution contributes 0.78*1 = 0.78 L of acid.
The second contributes 0.64*6 = 3.84 L of acid.
There will be 7 L total of the new solution, and 3.84 + 0.78 = 4.62 total L of acid in it. So the new solution has a concentration of 4.62/7 = 0.66, or about 66%.
Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).
We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression
= ((1/36)^(1/2))^3= (1/6)^3= 1/216
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
656.3844
Step-by-step explanation:
Area of squares = 
<em>s = measure of a side, all sides are the same. </em>
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<em> use a calculator </em>
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