Answer:
C. In the given expression -9 + p < 15 , the value of p < 24.
Step-by-step explanation:
Here, the given expression is :
-9 + p < 15
Now, solving for the value of p.
If equals are added to both sides of inequality, the inequality remains unchanged.
Now, -9 + p < 15
⇒ -9 + p + 9 < 15 + 9 (adding +9 on both sides)
or, p < 24
Hence, in the given expression -9 + p < 15 the value of p < 24.
Answer:
96
Step-by-step explanation:
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
P= 2(b+2) + 2(b)- it would be 2 (width) plus 2( length)
