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3 years ago

Write the equation of the line that has a slope of 2/3 and passes through (0,-7).

Mathematics

1 answer:

likoan [24]3 years ago

6 0

The equation of the line is (slope-intercept) y= $\frac{2}{3}$ x+(-7) or (standard form) $\frac{-2}{3}$ x+y=-7

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The sum of a number, n, and 6.05 is 12.4. What is n?

Irina18 [472]

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

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3 years ago

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3 years ago

Find the number of all 20 digit integers in which no two consecutive digits are the same

Arturiano [62]

For the first digit of the required 20-digit number, we can have 9 choices for the number, those are the digits 1 to 9. In the second digit of the number, we will only have 8 choices. That is because, we don't want to write a number in the second digit that is similar to the first digit and the third digit.

Similarly, in the third digit's place, we will only have 8 choices because we do not want the digit to be similar to the second digit and the fourth digit. This will go on up until the 19th digit. In the 20th digit, we will also have 9 choices (from 0-9) but we do not want the digit to be similar to the 19th digit.

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3 years ago

Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4

vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

the first equation can be written as y=5-2x

the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5

the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.

now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

by seeing the graph, the value of x is 2.625.

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2 years ago