Which statements about the local maximums and minimums for the given function are true? Choose three options.
1 answer:
The statements about the local maximums and minimums for the given function which are true include:
- Over the interval [2, 4], the local minimum is –8.
- Over the interval [3, 5], the local minimum is –8.
- Over the interval [1, 4], the local maximum is 0.
This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.
According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.
Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.
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Given
gas prices are now $3.75 and it up 10% from 6 months ago.
Find out how much were gas prices 6 months ago.
To proof
gas prices now = $3.75
let the gas price 6 month ago = x
gas price now is rise up 10% from 6 months ago
First write 10% in simpler form
= 0.1
Now the equation becomes
0.1x + x = 3.75
1.1x = 3.75
x = 3.41 (approx)
Thus gas prices 6 months ago be $ 3.41 (approx )
Hence proved
Answer: " x = 12 " .
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Step-by-step explanation:
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<u>Note</u>: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".
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Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;
→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :
→ Set up proportions as a "ratio" ; or fraction:
→ 7:28::25:(6x + 28) ; Solve for "x" ;
Let us write this in the form of a "fraction" :
→ ;
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<u>Note</u>:
→ Rewrite: " " ; by simplifying to:
" " ;
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→ Since: " " ;
= " (7÷7) / (28÷7) " ;
= " (1 /4) " ;
= " " .
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Now, rewrite the "proportion" ; as follows:
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;
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Now: "Cross multiply" ; that is:
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→ Given: " " ;
and: " b0 " ; " d
0 " ;
→ Then: " a * d " = " b * c " .
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Likewise: " 1(6x + 28) = (4) * (25) " ;
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SImplify: " 6x + 28 = 100 " ; Solve for "x" ;
→ Subtract "28" from each side of the equation:
→ " 6x + 28 - 28 = 100 - 28 " ;
to get: → " 6x = 72 " ;
Now, divide each side of the equation by: " 6 " ;
to isolate "x" on one side of the equation; & to solve for "x" ; as follows:
→ " 6x = 72 " ;
→ 6x / 6 = 72 / 6 ;
to get:
→ " x = 12 " ;
→ which is the answer.
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Hope this helps!
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— and within the "Brainly" community!
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