Solve for y in the first equation.
y = 4x + 6
Substitute <span>4x + 6 into the second equation.
-5x - (</span><span>4x + 6) = 21
Distribute
-5x - 4x - 6 = 21
Combine like terms
-9x = 27
Divide both sides by -9
x = -3
Substitute back into first equation
-4(-3) + y = 6
Solve for y
y = -6</span>
The x-intercept of a graph is the point where the graph crosses the x-axis
<h3>(a) Graph</h3>
The function is given as:

See attachment for the graph of the function.
From the attachment, the approximated x-intercepts are -7 and -1
<h3>(b) Type of solution</h3>
From the attached graph, we can see that the curve crosses the x-axis at non-terminating decimals
Hence, the solutions of the equation are irrational.
<h3>(c) The vertex</h3>
This is the minimum or the maximum point of a parabola.
From the attached graph, the minimum point is at (-4,-7)
Hence, the coordinates of the vertex of the parabola is (-4,-7), and it is exact (not approximated)
Read more about parabolas at:
brainly.com/question/4061870
The nearest whole number would be 7 since 1/6 is less than 1/2
Answer:
2 seconds
Step-by-step explanation:
At max height, velocity = 0
u = 64 feet/sec
v = 0
a = -32
t = ?
v = u + at
0 = 64 - 32t
32t = 64
t = 2
The last choice, f(x)=1/4(4ˣ⁻⁻¹)-4, is correct.
Substituting our values for x, we have:
f(2) = 1/4(4²⁻¹)-4 = 1/4(4¹) - 4 = 1/4(4) - 4= 1 - 4 = -3
f(3) = 1/4(4³⁻¹)-4 = 1/4(4²) - 4 = 1/4(16) - 4 = 4 - 4 = 0
f(4) = 1/4(4⁴⁻¹)-4 = 1/4(4³) - 4 = 1/4(64) - 4 = 16 - 4 = 12
All of the data points fit.