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Masteriza [31]
3 years ago
10

What is the slope of the line?

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

The slope of the line is 3.

Step-by-step explanation:

You might be interested in
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
2 years ago
Which ordered pairs are solutions to the inequality 3x-4y>5
Sloan [31]

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

3x-4y>5

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

3\left(3\right)-4y>5

9-4y>5

-4y>-4

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

\left(-4y\right)\left(-1\right)

4y

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4y}{4}

y

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

3\left(3\right)-4\left(0.9\right)

=9-3.6

=5.4

  • As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

6 0
2 years ago
How many times does 8 go into 66
Romashka [77]
8 will go into 66 , 8.25 times
7 0
3 years ago
Which equation is correctly rewritten to solve for x?
ikadub [295]

Answer:

Option (A)

Step-by-step explanation:

Te given equation is,

-qx + p = r

Toe find the value of x,

By subtracting  p from both the sides of the equation.

-qx + p - q = r - q

-qx = r - q

By dividing the whole equation by (-q),

\frac{-qx}{(-q)}=\frac{r-p}{-q}

x = -\frac{r-p}{q}

x = \frac{p-r}{q}

Therefore, Option (A) will be the answer.

4 0
2 years ago
Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

6 0
3 years ago
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