Answer:
x = 7
3x + 11 = 32
8x + 2 = 58
Step-by-step explanation:
3x + 11 + 8x + 2 = 90
11x + 13 = 90
11x = 77
x = 7
3x + 11 = 3(7) + 11 = 32
8x + 2 = 8(7) + 2 = 58
To start, we're given the range that x lies in: from -1 to 4. We know from the fact that

that -1 will be <em /><em>included</em> in that range, so we mark -1 on the number line with a solid circle. We also know from

that, while x can be any value <em>up to</em> 4, it does not <em>include </em>4. We indicate this by drawing a hollow circle around 4 on the number line. Since x can be <em>any value within this range</em>, we make that fact clear by drawing a bold line between the points -1 and 4 on the number line. I've attached an image of what our final graph would look like.
The identity Sin(α)/Tan(α) = Cos(α) is valid
Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Lets prove this identity by proceeding with the LHS
= Sin(α)/Tan(α)
= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))
= Sin(α)xCos(α) / Sin(α)
= Cos(α)
Hence verified
Learn more about Trigonometric Ratios here :
brainly.com/question/13776214
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Let's pick two points on the line, the
y-intercept, and the
x-intercept. These are the points at which x=0, and y=0.
When x=0:

So one point is
(0,6)When y=0:

So another point is
(10,0)
So mark the points
(0,6) and
(10,0) on a pair of axes, and draw a straight line between them, and past them to infinity. This is a graphing of the line y=-3/5 x + 6
Answer:
So both equations are true
Step-by-step explanation:
#4 was asking you to substitute x = 4 into both equations to see if it's the solution of the equations.
Substitute x = 4
Ritz equation
y = 30x + 20
y = 30(4) + 20
y = 120 + 20
y = 140
Smits equation:
y = 15x + 80
y = 15(4) + 80
y = 60 + 80
y = 140
Both companies charged same price $140 for 4 days
So both equations are true