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ra1l [238]
3 years ago
10

Evaluate k (t) = 10t-19 at the specified input. k(-7) = Explain your answer.

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0
Plug -7 for x

10*-7 = -70 - 19 = -89

<span>k(-7) = -89</span>
Lera25 [3.4K]3 years ago
3 0
K(t) = 10t - 19

subtitute k = -7 to an equation:

k(-7) = 10(-7) - 19 = -70 - 19 = -89
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Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks
Dennis_Churaev [7]

Answer:

y = \frac{3}{4}x - 2

Step-by-step explanation:

Equation of a line is given as y = mx + b

Where,

m = slope of the line = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinate pair of any two points on the line. Let's use the following,

(0, -2) = (x_1, y_1) => on the line, when x = 0, y = -2

(4, 1) = (x_2, y_2) => on the line, when x = 4, y = 1

Plug in the values and solve for m

m = \frac{1 - (-2)}{4 - 0}

m = \frac{1 + 2}{4}

m = \frac{3}{4}

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

y = mx + b

y = \frac{3}{4}x + (-2)

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5 0
3 years ago
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zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

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Let us make y the subject in both equations to get:

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y =  \frac{3}{2}y + 3

Bottom equation

y =  \frac{3}{2}x + 3

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

4 0
3 years ago
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