F(x)=2x+4; if x=0, => f(x)=4
g(x)=2x-k ; if x=0, => g(x)=-k
-k=4-6
-k=-2
k=2
Answer: k=2
Let w and 2w-5 be the width and length, respectively, of the rectangle. Then:
w(2w-5)=52
2w²-5w-52=0
(2w-13)(w+4)=0
w=13/2 or -4
The rectangle is 6.5 ft by 8 ft. ☺☺☺☺
Answer:
<h3>Midpoint = (-3 ,-9)</h3>
Step-by-step explanation:
Answer:
Others 2367
Students 481
Step-by-step explanation:
Let x be students and y be others
x + y = 2848
x = 2848 - y...............(1)
2.50x + 3.75y = 10078.75
Substituting,
2.50(2848-y) + 3.75y = 10078.75
y = 2367
x = 2848 - 2367 = 481
Answer:
<em>D. is zero</em>
Step-by-step explanation:
<u>Graph of the Parabola</u>
The quadratic function's graph is called a parabola. There is a clear relationship between the roots of the equation and the shape of the parabola.
If the equation has two real roots, the parabola has two x-intercepts. If the equation has only one real root, the parabola crosses the x-axis only once, and if the equation has no real roots, the parabola never crosses the x-axis.
If the equation of the parabola is
Then the so-called discriminant is
If the discriminant is zero, the equation has only one real root. The graph in the image only goes through the x-axis once.
Thus, the correct answer is
D. is zero