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Oliga [24]
2 years ago
10

I have no idea how to do this please help

Mathematics
1 answer:
algol [13]2 years ago
8 0
\begin{gathered} a)slope\colon7 \\ b)y-intercept\colon-6 \end{gathered}

1) As we can see this is a Linear Equation written in the Slope-intercept form:

y=mx+b

Note that "m" stands for the slope of the line, i.e. the measure of how steep a line is.

In the given equation, we can state that the slope is always accompanying the "x" therefore, the slope is m= 7

2) In addition to this, the y-intercept also called the Linear Coefficient is given by the letter"b" and represents the y-coordinate that the graph intercepts. Thus the y-intercept is -6

So we can state the following as the answers:

\begin{gathered} a)slope\colon7 \\ b)y-intercept\colon-6 \end{gathered}

And that is the answer

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<img src="https://tex.z-dn.net/?f=3y%20-%205x%20%3D%2010" id="TexFormula1" title="3y - 5x = 10" alt="3y - 5x = 10" align="absmid
kompoz [17]

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

7 0
2 years ago
Read 2 more answers
Find the volume of a cone with a radius of 12 units and a height of 6<br> units.
svlad2 [7]
The volume is 905.32 i believe

12(12)=144, 144(3.14)=452.16, 452.16(6)=2712.96, 2712.96/3=904.32
7 0
3 years ago
An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many dif
maks197457 [2]

<u>10M </u><u>different </u><u>codes </u><u>are possible.</u>

Probability Definition in Math-

  • Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
  • Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
  • For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

  • It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
  • If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.

Learn more about probability

brainly.com/question/11234923

#SPJ4

8 0
2 years ago
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
3 years ago
Can someone do #4 and #5
Hitman42 [59]

Answer:

First, find two points on the graph:

  • (x₁, y₁) = (0, 2)
  • (x₂, y₂) = (2, 8)

Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3

16 + (-3) = 16 - 3 = 13

8 0
3 years ago
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