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marusya05 [52]
3 years ago
11

I NEED HELP ! 2=log(3x+4)

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

2=log(3x+4)


y = loga b    a^y = b

since this is base 10

10^2 =3x+4

100 = 3x+4

subtract 4 from each side

96 =3x

divide by 3

32=x


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The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is
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Using the vertex of the quadratic function, it is found that:

a) The maximum number of customers in the store is at 12 P.M.

b) 75 customers are in the store at this time.

The number of customers in x hours after 7 AM is given by:

y = -x^2 + 10x + 50

Which is a quadratic equation with coefficients a = -1, b = 10, c = 50

Item a:

The maximum value, considering that a < 0, happens at:

x_v = -\frac{b}{2a}

Hence:

x_v = -\frac{10}{2(-1)} = 5

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.

Item b:

The value is y(5), hence:

y(5) = -(5)^2 + 10(5) + 50 = 75

75 customers are in the store at this time.

A similar problem is given at brainly.com/question/24713268

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2 years ago
Each lap around a track is 1/4 mile. Hadley jogged 3 laps around the track. How many yards did Hadley jog
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Step-by-step explanation:

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3 years ago
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If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)
slega [8]
The given function are
r(x) = 2 - x²    and     w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
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∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
</span>

<span>It is a polynomial function with a domain equal to R
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The range of <span>(w*r)(x) can be obtained by graphing the function
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To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>

As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
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8 0
3 years ago
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Using trig how do you answer this
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Answer:

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Step-by-step explanation:

SOH CAH TOA

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plugging in sin^{-1}(\frac{8}{9}) or arcsin(\frac{8}{9}) into calculator will get you

62.73° or 1.09 radians

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3 years ago
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