Answer:
The values of p in the equation are 0 and 6
Step-by-step explanation:
First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p
2
−7p−4=(2p+1)(p−4)
So then the equation looks like:
\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}
2p+1
p
−
(2p+1)(p−4)
2p
2
+5
=−
p−4
5
To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:
\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}
(2p+1)(p−4)
p
2
−4p
−
(2p+1)(p−4)
2p
2
+5
=−
(p−4)(2p+1)
10p+5
Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.
(p^2-4p)-(2p^2+5)=-(10p+5)(p
2
−4p)−(2p
2
+5)=−(10p+5)
Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p
2
−4p)−(2p
2
+5) first:
(p^2-4p)-(2p^2+5)=-p^2-4p-5(p
2
−4p)−(2p
2
+5)=−p
2
−4p−5
-p^2-4p-5=-10p+5−p
2
−4p−5=−10p+5
Combine like terms:
-p^2-4p+0=-10p−p
2
−4p+0=−10p
-p^2+6p=0−p
2
+6p=0
Factor:
p=0, p=6p
Answer:
y = 4x - 15
Step-by-step explanation:
Find slope (m) using of the line that passes through (7, 13) and (4, 1).
Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.
Thus:
1 = (4)(4) + b
1 = 16 + b
Subtract 16 from each side
-15 = b
b = -15
substitute m = 4, and b = -15 in y = mx + b, to get the equation.
The equation of the line would be:
✅ y = 4x + (-15)
y = 4x - 15
Answer:
$4
Step-by-step explanation:
To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:
40 / 8 = 5
So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.
Hope this helps :)
Answer:
Step-by-step explanation:
The area of a rectangle(A) related to the length (L) and WITDH (W) of its sides by the following Relationship:A=L W if you know the width is easy to find the length rearranging this equation to get L=A÷w if you know the length and want width rearranged to get W=A÷L this is the formula not the answer.
