Answer:
x - intercept = -4
Step-by-step explanation:
We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.
From general line equation, the formula is; y = mx + c
Where m is the slope and c is the intercept.
Thus, the equation is;
f(x) = (3/2)x + 6
Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.
Thus let's put 0 for f(x) to find the x-intercept.
0 = (3/2)x + 6
(3/2)x = -6
x = -6 × 2/3
x = -4
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Answer:
|-49| < |-52|
Step-by-step explanation:
|-49| = 49
|-52| = 52
49 < 52
--> |-49| < |-52|
A) Yes. There is 3x as much dry dog food as there is wet dog food. 1.5 x 3 = 4.5 oz. 2 x 3= 6 oz. 3 x 3 = 9 oz
b) 16.5. (5.5 x 3 = 16.5)
x=1, y=2
Solve the following system:
{y = 5 - 3 x5 x - 4 y = -3
Substitute y = 5 - 3 x into the second equation:
{y = 5 - 3 x5 x - 4 (5 - 3 x) = -3
5 x - 4 (5 - 3 x) = (12 x - 20) + 5 x = 17 x - 20:{y = 5 - 3 x17 x - 20 = -3
In the second equation, look to solve for x:{y = 5 - 3 x17 x - 20 = -3
Add 20 to both sides:{y = 5 - 3 x17 x = 17
Divide both sides by 17:{y = 5 - 3 xx = 1
Substitute x = 1 into the first equation:{y = 2x = 1
Collect results in alphabetical order:Answer: {x = 1 y = 2
