Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
To solve this problem, we first have to combine the two fractions on the left side of the equation. To do this, we must make a common denominator of 8. Because 8/8 is equal to 1, we can substitute this value into the equation:
3x/8 - 8/8 = 5/8
Next, we can subtract the fractions on the left side of the equation to simplify. Remember that if fractions have the same denominator, we simply subtract their numerators and keep the difference over the common denominator.
3x - 8/8 = 5/8
Since both sides of the equation have a denominator of 8, we can cancel out this denominator on both sides by multiplying both sides by 8. This gives us:
3x - 8 = 5
Next, we should add 8 to both sides of the equation so that we can get all of the constants to the right side of the equation.
3x = 13
Finally, we should divide both sides by 3 to get the variable alone on the left side of the equation.
x = 13/3
Therefore, your answer is x = 13/3.
Hope this helps!
For
(x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)
(1,-4)
(4,2)
x1=1
y1=-4
x2=4
y2=2
slope=(2-(-4))/(4-1)=(2+4)/3=6/3=2
slope=2
<h3>
Answer: 4(x - 1)(x^2 + x + 1)</h3>
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Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Answer:
5 containers
Step-by-step explanation:
Converting to a decimal can make questions like this easier to solve.
3 3/4 = 3.75
3/4= .75
3.75 cups divided by .75 cup containers results in 5 containers needed.
