Answer:
(x+4)^2 Choice A
Step-by-step explanation:
x^2 + 8x + 16
what 2 numbers multiply together to give you 16 and add together to give you 8
1*16 = 16 1+16 = 17 no
2*8 = 16 2+8 = 10 no
4*4 = 16 4+4 = 8 yes
(x+4) (x+4)
(x+4)^2
Answer:
11/25
Step-by-step explanation:
total number of students to selet from is 6+11+8=25
number of seventh graders is 11
=11/25
we are given the following triangles:
We are asked to determine the value of "y". To do that we will use the tangent of 25:
We solve for "y" by multiplying both sides by "x":
Now, we take the tangent of 15:
Now, we solve for "y" by multiplying both sides by the denominator:
Now, we set both values of "y" equal, we get:
now, we solve for "x". First, we apply the distributive property on the right side:
Now, we substract
(b)+(b+45)=215
b = # of boys
there are 45 more girls than boys and 215 students total.
minus 45 on both sides leaving you with
(b)+(b)=170
combine like terms leaving you with
2b=170
divide both sides by 2
b=85
there were 85 boys
85+45=130
(the 45 for the # of girls more than boys)
there were 130 girls.
Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Option (3) will be the correct option.
