-5x + 2 > -38
-5x > -40
x < 8
-5x + 2 < -8
-5x < -10
x > 2
so the inequality becomes
2 < x < 8
so the graph will be a straight line with open circles on 2 and 8 and shading in between these values.
Hence, the sum of the given GP is 16347
<h2>What is a series?</h2>
a series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers, but much more generality is possible.
<h3>How to solve?</h3>
we can identify from the given geomertric series.
first term = a(say) = 3
geometric factor of progression = r(say) = 4
Sum of the first 7 terms = a(
) ,where n is 7
Sum = 3(
) = 16348-1
= 16347
Hence, the sum of the given GP is 16347.
to learn more about series: brainly.com/question/12578626
#SPJ4
STV=STU+UTV
But,
STV=90° and STU = 75°
Therefore,
90=75+UTV => UTV = 90-75
Therefore, expression A is the one that can be used to find UTV.
First, change the mixed fraction into improper fraction
1 1/7 = 7/7 + 1/7 = 8/7
(4/7)/(8/7)
To solve, flip the second fraction, and change the division into multiplication
(4/7)/(8/7) = (4/7) x (7/8)
Multiply, and simplify
(4/7) x (7/8) = 28/56, or 1/2
1/2 is your answer
hope this helps
Answer:
The answer is one solution because the graphs are together in one specific point.