An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.
(0,0.5) and (10,10)
You always start at the beginning point and the end point and what ever points hit that line, great! That is why it is best fit and not connect the dots.
Hope I helped!
The measure of angle x will be 88 degrees. Then the correct option is C.
The complete question is attached below.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
2ab cos θ = a² + b² – c²
The triangle is shown below.
Then the value of the variable x will be
2 · 7 · 10 · cos x = 7² + 10² – 12²
140 · cos x = 49 + 100 – 144
cos x = (149 – 144) / 140
x = 87.95 ≈ 88°
Then the correct option is C.
Learn more about law of cosines here:
brainly.com/question/17289163
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Answer:
x = 3/2, x = -5
Step-by-step explanation:
2x² + 7x - 15 = 0
You're going to factor first using whichever method you prefer, but it's best to always start with GCF over any other method. In this case, this equation does not have one so we'll go with the Lie method and grouping method.
A quadratic is formulated to look like this:
ax² + bx + c = 0
So to start factoring, we're going to multiply "a" and "c" to get -30.
Then, we are going to look at factors of -30 that will add up to "b" and in this case, 10 and -3 multiply to get -30 but also add up 7 so we plug those two numbers in.
2x² + 10x - 3x - 15 = 0
Now, we are going to group them like so:
(2x² + 10x)(-3x - 15) = 0
Finally, we can begin to break it down and find x.
2x(x+5) - 3(x+5) = 0
You're doing this right, if the information in the parentheses match.
(x+5)(2x-3) = 0
Set both (x+5) and (2x-3) to zero and solve.
x = 3/2 and x = -5
