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>
Answer: $1150
Step-by-step explanation:
Simple interest is calculated as:
= Principal × Rate × Time
where,
Principal = $2000
Rate = 5.75%
Time = 10
Interest = 2000 × 5.75% × 10
= 2000 × 0.0575 × 10
= 1150
The amount earned will be $1150.
Answer:
A linear function has the form y=mx+b
A line has a proportional relationship if y/x is always the same ratio for any value.
The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.
A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.
In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.
This happens if they have the shape y=mx.
Step-by-step explanation:
hope this helps pls mark me brainliest
<u><em>28.1 feet</em></u>
<u><em></em></u>
<em><u>explaination</u></em>
<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>
<u><em>cosU= </em></u>
<u><em>hypotenuse</em></u>
<u><em>adjacent</em></u>
<u><em> </em></u>
<u><em> = </em></u>
<u><em>x</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>\cos 70=\frac{9.6}{x}</em></u>
<u><em>cos70= </em></u>
<u><em>x</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>x\cos 70=9.6</em></u>
<u><em>xcos70=9.6</em></u>
<u><em>Cross multiply.</em></u>
<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>
<u><em>cos70</em></u>
<u><em>xcos70</em></u>
<u><em> </em></u>
<u><em> = </em></u>
<u><em>cos70</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>Divide each side by cos 70.</em></u>
<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>
<u><em>x= </em></u>
<u><em>cos70</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> =28.0685≈28.1 feet</em></u>
<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>
Answer:-3
Step-by-step explanation:
