Answer:
Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form 
, where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
<em>(Subtract 7x from both sides)</em>
<em>(Divide both sides by -2)</em> 
<em>(Rearrange the equation</em>)
From here, we can now see our equation is , in the form . Since m is the slope, and 
is m, our slope is .
Hope this helped!
A function assigns the values. The correct option is graph X.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
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Answer:
344 1/4
Step-by-step explanation:
It is a vertical stretch.
<h3>What is functions?</h3>
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
To solve this problem you must apply the procedure shown below:
1. You have the following parent function given in the problem above:
f(x) = √x
2. And you have the function g(x) = √3x
3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.
4. Therefore, you have that:
|a| = √3
√3 > 1
Therefore the answer is: It is a vertical stretch.
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Answer:
(-2,3)
Step-by-step explanation:
Step 1. Isolate x for 3x + 5y = 9
3x + 5y - 5y = 9 - 5y
3x = 9 - 5y
3x/3 = 9/3 - 5y/3
x= (9-5y)/3
Step 2. Simplify
-3*((9-5y)/3) + 3y = 15
-3*((9-5y)/3) = 9 - 5y = -(-5 + 9) + 3y
-9+5y+3y
-9+8y = 15
Step 3 Isolate y for -9+8y=15
-9+8y+9=15+9
8y=24
8y/8 = 24/8
y=3
Step 4 Substitute y = 3
x = (9-5*3)/3
-(6/3) = (-2)
x = -2
