4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
The system of equations has one solution (-1, 1)
<h3>Graph of system of linear equations </h3>
From the question, we are to graph the given system of equations.
The given system of equation is
y + 2x = −1
3y − x = 4
The graph of the given system of equations is shown below.
From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).
Hence, the system of equations has one solution (-1, 1)
Learn more on Graph of linear equations here: brainly.com/question/14323743
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Answer: 641/2x 10-2 it is 3203
Step-by-step explanation:
Answer:
b ≈ 8.60 ft
Step-by-step explanation:
The formula of a parallelogram is
A = bh
Divide each side by h
b = A/h
b = 62⅓/7¼
b = (187/3) ÷ (29/4)
b = 187/3 × 4/29
b = 748/87
b = 8⁵²/₈₇ ft
b ≈ 8.60 ft
The base of the window is about 8.60 ft long.