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Tanya [424]
3 years ago
5

Find the exact solution to the equation. 5^(6-2x) = 25

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

5^{(6-2x)} = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

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Mice21 [21]

The equation for the problem is y = 4x + 40. The slope is 4 and the y intercept is 40

The standard equation for a linear equation is given by:

y = mx + b

Where m is the slope of the equation, b is the y intercept, y is a dependent variable and x is the independent variable.

Let x represent the charge per megabyte used and let y represent the total charge for the month

since there is a $40 monthly fee and you are charged $4 per megabyte of data used, hence:

y = 4x + 40

Comparing with the standard linear equation:

The y intercept is 40, this means that even if no data is used, $40 must be paid.

The slope is 4, that is for every megabyte used, $4 is paid.

The amount to pay for 10 MB is:

y = 4(10) + 40 = $80

$80 is paid to use 10 megabytes

Find out more at: brainly.com/question/13911928

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2 years ago
I need help with my math class
aivan3 [116]

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6 0
3 years ago
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Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Fudgin [204]

Answer:

4{J^{9} } {K^{14} }

Step-by-step explanation:

  • \frac{8}{2}  \frac{J^{4} }{J^{5} } \frac{K^{8} }{K^{6} }
  • \frac{8}{2} = 4
  • \frac{J^{4} }{J^{5} } = J^{4+5} =J^{9}
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4 0
3 years ago
The village basket shop has two types of basket available.One type holds 2 meals and one holds 4 meals.There are 25 basket in th
Mrrafil [7]

Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

  • Variable x: Number of baskets that hold 2 meals.
  • Variable y: Number of baskets that hold 4 meals.

There are 25 baskets in the shop, hence:

x + y = 25 -> x = 25 - y

They can hold a total of 70 meals, hence:

2x + 4y = 70

2(25 - y) + 4y = 70

2y = 20

y = 10

There are 10 baskets that hold 4 meals in the shop.

More can be learned about a system of equations at brainly.com/question/24342899

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3 years ago
The functions (x) and g(x) are shown on the graph.
Katen [24]
C because they end up with (x)=x2
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