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3 years ago

Find the value of X and y .If order pair (X,y)=(6,7)

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

x=6,y=7

Step-by-step explanation:

In a coordinate pair it is assumed that the first number is x, and the 2nd is y.

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How to solve equations in which the variable is in an exponent

Temka [501]

Answer:

It depends on the equation.

If the bases are equal and the variables are only in the exponents, set the exponents equal.

If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.

Example 1:

$4^{2x + 5} = 4^9$

Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.

2x + 5 = 9

2x = 4

x = 2

Example 2:

$3^{2x} = 9^{6}$

The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.

$3^{2x} = (3^2)^{6}$

$3^{2x} = 3^{12}$

Now you have equal bases, so the exponents must be equal.

2x = 12

x = 6

Example 3:

$10^{x + 2} = 9$

Here you can't make the bases equal, so you take the log of both sides and use laws of logs.

$\log(10^{x + 2}) = \log 3^2$

$(x + 2) \log 10 = 2 \log 3$

Recall that: $\log 10 = 1$

$x + 2 = 2 \log 3$

$x = 2 \log 3 - 2$

3 0

3 years ago

Select all the values that are equivalent to -(7/8)

Deffense [45]

Answer:

last option

the correct answer is

- (- 7 / - 8)

7 0

3 years ago

Find the equation of the line in slope-intercept form.<br> m=− 4 7 through (14, 3

kakasveta [241]

Answer:

The answer to your question is: y = -47x + 661

Step-by-step explanation:

Data

m = - 47 I wasn't sure if the slope was -47 or -4.

Point (14, 3)

Formula

(y - y1) = m(x - x1)

Process

(y - 3) = -47(x - 14)

y - 3 = -47x + 658

y = -47x + 658 + 3

y = -47x + 661

5 0

3 years ago

You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.

enot [183]

The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B4x%2B1%7D-5%3D0%5C%5C%5C%5C%5C%5C%5C%5C%5Csqrt%7B5x-1%7D%2B3%3Dx%5C%5C" id="TexFormu

adoni [48]

Answer:

what topic is this please

8 0

3 years ago

Find the value of X and y .If order pair (X,y)=(6,7)​

Find the value of X and y .If order pair (X,y)=(6,7)