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Lena [83]
3 years ago
5

Solve the system of equations. y = 6x - 27 y = 4x - 17

Mathematics
2 answers:
Otrada [13]3 years ago
7 0
Y=6x-27
y=4x-17
Subtracting the two equations, we get;
0=2x-10
2x=10
x=5
Replacing for x in equation 2;
y=4(5)-17
y=20-17
y=3
NeTakaya3 years ago
5 0
Y=6x-27...........(1)
y=4x-17...........(2)

By comparison
6x-27=4x-17
=> 2x=10 => x=5
Substitute x=5 into (1)
y=6(5)-27=3
Check:
y=4(5)-17=3 as well.
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What is the domain of the function y=in(x+2) x<-2 x>-2 x<2 x> x<-2 x>-2 x<2 x>2
aev [14]

For this case we must find the domain of the following function:

y = ln (x + 2)

By definition, the domain of a function is given by all the values for which the function is defined.

In this case, the argument of the expression must be greater than 0 to be defined.

x + 2> 0\\x> -2

Thus, the domain of the function is given by all the values of x greater than -2.

Answer:

Domain: x> -2

4 0
3 years ago
Good morning!
Assoli18 [71]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 2) The integral of a constant follows this rule:

adx = ax

In this case, it is 1dx = 1x

This can be simplified to just x

Add a constant to this, to get the final answer of:

x + C

3) The integrals power rule is:

x^adx = \frac{x^a^+^1}{a +1}

Substitute the values in:

\frac{x^5^+^1}{5 +1}

This can be simplified to:

\frac{x^{6} }{6}

Add a constant to this to get the final answer of:

\frac{x^{6} }{6} +C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

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4 0
3 years ago
CAN SOMEONE HELP .. WITH THE RIGHT ASWER PLZZ...
Ksenya-84 [330]
B. Add -12x to both sides. Then divide all terms by -2. The positive 12 on the right side will be a -6 and the -42 will be a positive 21. The inequality sign is always switched whenever the equation is divided by a negative number.
5 0
3 years ago
Please the question is on the picture
Artyom0805 [142]
The question in the picture is very different from the question before the picture.

Half of 12 is ____
is a different question than
12 is ____ halves

When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.

One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.

12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10
6 0
3 years ago
4st^2-s^2 were s=5 and t=7
barxatty [35]

       ➣ Assignment: \bold{Solve \ Equation: \ \left(4\left(5\cdot \:7^2\right)\right)-5^2}

↔↔↔↔↔↔↔↔

       ➣ Answer: \boxed{\bold{955}}

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

       ➤ [ Step One ] Follow PEMDAS Order Of Operations

\bold{4\left(5\cdot \:7^2\right): \ 980}

       ➤ [ Step Two ] Rewrite Equation

\bold{4\left(5\cdot \:7^2\right)}

       ➤ [ Step Three ] Calculate Within Parenthesis

\bold{4\left(5\cdot \:7^2\right): \ 245}

       ➤ [ Step Four ] Rewrite Equation

\bold{4\cdot \:245}

       ➤ [ Step Five ] Multiply

\bold{4\cdot \:245: \ 980}

       ➤ [ Step Six ] Rewrite Equation

\bold{980-5^2}

       ➤ [ Step Seven ] Calculate Exponents

\bold{5^2: \ 25}

       ➤  [ Step Eight ] Rewrite Equation

\bold{980-25}

       ➤  [ Step Nine ] Solve

\bold{955}

↔↔↔↔↔↔↔↔

\bold{\rightarrow Mordancy \leftarrow}

4 0
3 years ago
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