F(-7)=0
Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.
For simple integer factors as this one has, you want to find two values for the quadratic in the form ax^2+bx+c. Let the two values be j and k. These two values must satisfy two conditions.
jk=ac=10 and j+k=b=11, so j and k must be 1 and 10.
Now replace bx with jx and kx...
2x^2+x+10x+5 now factor 1st and 2nd pair of terms.
x(2x+1)+5(2x+1)
(x+5)(2x+1)
Answer:2.8284.
Step-by-step explanation:
Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
the numbers inside the () are first number is x second number is y so it is (x,y)
so for y<x the second number needs to be smaller than the first number
so right away (3,3) is not the answer
and then y also has to be greater then 2x-3
so replace x with the fist numbers and see what you get.
(2x2)-3 = 4-3 = -1 since -1 is not greater than -1 the second answer (2,-1) is not right
3rd one (-1,-2) 2(-1)-3 = -2-3=-5
so -2 is greater than -5 and -2 is less than -1 so the 3rd one is the answer