Answer:
a = 15
Step-by-step explanation:
The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.
y = g(x)=ax−7 passes through (1/3, -2). We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:
-2 = g(1/3) = a(1/3) - 7
Solve for a. First, add 7 to both sides: 5 = a(1/3).
Next, multiply both sides by 3: 15 = a, or a = 15.
The first line equation: y = -2/7x - 5; m1 = -7/2
The second line passes through (2,4) and is perpendicular to the first line.
Therefore,
The gradient of first line = -1/m1 = -1/(-2/7) = 7/2
Then, the equation of the second line is;
y = 7/2x+b
Substituting for the coordinates given;
4 = 7/2(2)+b
4 = 7+b
b = 4-7 = -3
Therefore, the equation of the second line is;
y = 7/2x - 3
In standard form, the equation this equation can be written as:
y(2) = 7x - 3(2)
2y = 7x - 6
7x -2y - 6 = 0 -----> standard form.
Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.
Step-by-step explanation:
i took the test
<span>Shaded region is when x is negative</span>
The value of f(-1) is -11 if the function f(n) = 8n - 3 after plugging the value of n is -1
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
f(n) = 8n - 3
g(n) = 3n - 10
To find the value of f(-1) first plug n = -1 in the function f(n)
f(-1) = 8(-1) - 3
f(-1) = -8 - 3
f(-1) = -11
Thus, the value of f(-1) is -11 if the function f(n) = 8n - 3 after plugging the value of n is -1
Learn more about the function here:
brainly.com/question/5245372
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