Answer:
y=(1/5)x
Step-by-step explanation:
First, we must find the slope of the line.
The slope of a line can be found using the formula: (y2-y1)/(x2-x1)
(3-0)/(15-0)
(3)/(15)
1/5
The slope is 1/5.
Next we find the y-intercept, or where the line crosses the y-axis. In this case, the y-intercept is 0.
This gives us the equation: y=(1/5)x
Let me know if this helps!
Answer:
f(0) = g(0)
Step-by-step explanations
if a function h(x) passes through [a,b] then it can be said that h(a)=b.
given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
therefore, f(0)=g(0)=4.
so, first option is correct.
-4-(2m+3)=-m-(5+3)
-4-2m-3=-m-5-3m
-2m-7=-4m-5
-2m+4m=-5+7
2m=2
m=2/2
m=1
Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
Answer:B)The values of both x and y will be real numbers greater than or equal to 0.
Step-by-step explanation: