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Ivenika [448]
3 years ago
13

A truck is traveling at a constant speed. The diagram represents the truck's distance and time. What is the speed of the truck?

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

distance divided by time

Step-by-step explanation:

distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.

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Find the slope and y-intercept of equation y= 10x + 18
pickupchik [31]

Answer:

slope is 10

y-intercept is 18

Step-by-step explanation:

3 0
3 years ago
Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1
lubasha [3.4K]

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

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

Given:

Explanation:

The line intersects y-axis at \left( {0, - 1} \right). Therefore, the y-intercept is -1.

The line passes through the points \left( {0, - 1} \right) and \left( {3,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}

Substitute \dfrac{1}{3} for m, 3 for x and 0 for y in equation y = mx + c to obtain the value of c.

\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}

To check whether the equation includes origin substitute 0 for x and 0 for y in equation y \geqslant \dfrac{1}{3}x - 1.

\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}

The statement is true. The equation contains origin.

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

7 0
3 years ago
Read 2 more answers
a tour group is going sea diving. sea level is 0 feet. the ocean floor is -18 feet.one diver is already at -11 feet . the tour g
Natalka [10]
It's a distance of 16 feet between the tour guide and the diver
4 0
3 years ago
What is the solution of 3+ x-2/x-3 less than or equal to 0
bagirrra123 [75]

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

x\leq \frac{11}{4}

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}

4 0
3 years ago
Five more than twice a number is -13 into a two step equation
Sav [38]

Answer:

2n + 5

Step-by-step explanation:

You are adding 5 to the multiplication of 2 and a number.

5 0
3 years ago
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