Answer:
3.45
Step-by-step explanation:
Answer:
7
Step-by-step explanation: Numerator of first fraction times 4 equals numerator of second fraction. So second denominator divided by 4 is 7.
Answer:
x=8
Step-by-step explanation:
2(x+4) - 10 =14
distribute the 2 2x +8 -10 +14
simplify 2x-2=14
add 2 2x=16
devide by 2 x=8
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
36
Step-by-step explanation:
f(x)=x^2+2x+1
Let x = -7
f(-7)=(-7)^2+2*-7+1
= 49 -14+1
= 36