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Gekata [30.6K]
3 years ago
14

Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values

of x and y. Then evaluate the simplified expression. The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is .
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0
<span><span><span><span>4x = 16</span><span>log 4x = log 16</span> </span><span>Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation?</span></span><span> <span><span>log 4x = log 16</span>x<span> log 4 = log 16</span></span>Use the power property of logarithms to simplify the logarithm on the left side of the equation.</span><span> <span>x<span> log 4 = log 16</span></span><span>Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself.</span></span><span>Answer<span>Use a calculator to evaluate the logarithms and the quotient.</span></span></span>
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A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of e
goblinko [34]

Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50  

80x + 60*50 - 60x = 74*50  

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

4 0
3 years ago
Read 2 more answers
Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o
marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values we get

(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})

Putting respective elements equal

\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1

Hence,

The coordinates of other point are: (5,1)

8 0
2 years ago
N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m
Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

3 0
2 years ago
Is a function that is not continuous
stepan [7]

It appears that your answer contains either a link or inappropriate words. Please correct and submit again!

Answer:

See below. The answer is incomplete, I couldn't post it.

Step-by-step explanation:

Considering a function f, it is said to be discontinuous when it has a hole or breaks, it means places where f(x) cannot be evaluated. For example, when the denominator equals to 0, it is not defined.

5 0
3 years ago
Can you help me with this question?
kirill [66]

Yes

Hope this helps                          

5 0
3 years ago
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