The positive interval of a function is when the function has positive values.
<em>The interval in which both f(x) and g(x) are positive is </em>
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From the given graphs of g(x), we have the following observations.
- <em>The graph of f(x) crosses the x-axis at </em>
<em /> - <em>The graph of g(x) also crosses the x-axis at </em><em>.</em>
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This means that:
<em />
<em> --- for both functions</em>
But when x increases, the value of y becomes positive,
<em>So, the positive interval of f(x) and g(x) is </em><em />
Read more about positive intervals at:
brainly.com/question/17238753
Answer:
x≤47
Step-by-step explanation:
2x−3(3x−4)≥8
Step 1: Simplify both sides of the inequality.
−7x+12≥8
Step 2: Subtract 12 from both sides.
−7x+12−12≥8−12
−7x≥−4
Step 3: Divide both sides by -7.
−7x−7≥−4−7x≤47
Answer:x≤47
Answer:
1
Step-by-step explanation:
do 18 times 3
then do 54 divided by 54
to find the following number
hope this helps
Answer:
14
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
as the triangles are similar, when oriented in the same direction they have the same angles, and the lengths of all sides of DEF are the lengths of the sides of ABC but multiplied by the same scaling factor f for all sides.
so, we see that
A ~ D
B ~ E
C ~ F
and therefore
AB ~ DE
BC ~ EF
CA ~ FD
that means
DE = AB × f
EF = BC × f
FD = CA × f
we know DE and AB.
so,
4 = 10 × f
f = 4/10 = 2/5
and now we know
EF = 7 = BC × f
BC = 7/f = (7/1) / (2/5) = (5×7)/(2×1) = 35/2 = 17.5
