Answer:
√18+4√2 = 9.89949494
Step-by-step explanation:
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
<h3>Solving quadratic equation</h3>
Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
Learn more on quadratic equation here: brainly.com/question/1214333
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Answer:
Part a) The linear model that represents the monthly cost of each plan is
<em>Plan A</em>
<em>Plan B</em>
Part b) The plans cost the same for 100 GB of data
Step-by-step explanation:
Part a) Write a linear model that represents the monthly cost of each plan if the customer uses g GB of data
Let
g -----> the GB of data
y -----> the monthly cost
we know that
The linear equation that represent each plan is equal to
<em>Plan A</em>
----> equation A
<em>Plan B</em>
----> equation B
Part b) After how many GB of data will the plans cost the same?
Equate equation A and equation B and solve for g
therefore
The plans cost the same for 100 GB of data
Answer:
(3, 5)
Step-by-step explanation:
y = 2x - 1
3x + 2y = 19
In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.
3x + 2(2x - 1) = 19
3x + 4x - 2 = 19
7x - 2 = 19
7x - 2 + 2 = 19 + 2
7x = 21
7x/7 = 21/7
x = 3
Pick the first equation to solve for y since it says y =. Substitute 3 in for x.
y = 2x - 1
y = 2(3) - 1
y = 6 - 1
y = 5