graph -3x+y=10 using slope-intercept form

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]

at x₁ = a,

[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]

at x₂ = a+h,

[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      [tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]

as a+h-a = h, so    

                      [tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

Thus, the everarge rate of chnage:  [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

We can further simplify such as:

[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]

Cancel the common factor h

[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]            

Answer:

x=25°

Step-by-step explanation:

Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.

Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.

in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25

Answer: X = 7.

Step-by-step explanation: Move all terms that don't contain x to the right side and solve.

I'll go step-by-step.

1. Add 5 to both sides. 6x-(5+5)=37+5

2. Simplify 6x=42

3. Divide both sides by 6.   [tex]\frac{6x}{6} =\frac{42}{6}[/tex]

4. Then simplify/Divide. 42 / 6 = 7  

That's how you get 7!

X = 7

Hey there!

6x - 5 = 37

ADD 5 to BOTH SIDES

6x - 5 + 5 = 37 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 37 + 5 because it help solve for the x-value

NEW EQUATION: 6x = 5 + 37

SIMPLIFY IT!

6x = 42

DIVIDE 6 to BOTH SIDES

6x/6 = 42/6

CANCEL out: 6/6 because it give you 1

KEEP: 42/6 because it gives you the x-value

NEW EQUATION: x = 42/6

SIMPLIFY IT!

x = 7

Therefore, your answer is: x = 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

2.5 + 0.15p = 0.4p

0.25p = 2.5 (subtract 0.15p on both sides)

p = 10 (multiply 4 on both sides)

Answer:

[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]

10 is the right answer.

Answer:

x > 24

Step-by-step explanation:

12 + 12 = 24

Answer:

C

Explanation:

:) hope this helps

Answer: D

Step-by-step explanation:

D is the only one that states the correct slope

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

Answer:

10

Step-by-step explanation:

im on enginuity leson multiplying with intager tiles qestion 4

Answer:

A should be 40 if not sorry

Step-by-step explanation:

Answer:

40 is da right answer,you will see little william

Step-by-step explanation:

7

b²=√218²-13²

=218-169

=49

=√49

=7

Answer:

72

Step-by-step explanation:

First you do 204 - 60 = 144

Than you do 144 ÷ 2 = 72

Hope this helps!

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Answer:

7.5 MPH

Step-by-step explanation:

total hours = 320

total distance = 2400

2400/320 = 7.5mph

Answer:

yes because 96/6 equals 16, and 6x16=96

Step-by-step explanation:

KA-BOOM!!! meh

Answer:

Yes it is

because 96/6 = 16

And if you flip it you'll get the same thing

Step-by-step explanation:

Answer:

12 45 785 96

Step-by-step explanation:

---------------------

Step-by-step explanation:

6x = 5y

x = 49

y = 81

given

56/49

Answer:

a. decrease

b. recklessly

c. increase

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.

Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents

Answer:

2(n) or 2n

Step-by-step explanation:

.................

Answer: surface area is 215.27; volume is 297.1

Step-by-step explanation:

you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

Answer:

the song is a break up

Step-by-step explanation:

honestly I find it very good but its funny because I grew up being obsessed with bizrdvark which is a kids show on Disney she was on

Answer:

18

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

Answer:

the answer is three

Step-by-step explanation:

48 divided by 16 is 3

Answer: Given that the senator is an independent, it is certain that the senator represents the north east

Answer 2: given that the senator represents the southeast, it is likely that the senator is in the Republican Party

Step-by-step explanation: I did the khan and trial and error

Answer:

Step-by-step explanation:there are 2 answers C and D

Answer:

written function is 5n-8

Step-by-step explanation:

there is no y-intercept

Answer:

B option is right

Step-by-step explanation:

These 3 will form a 3d system.

The correct option is A) parallel.

When two lines are perpendicular to the same line, they are parallel to each other.

In this case, a is perpendicular to b, and b is perpendicular to c. Therefore, a and c are parallel to each other.

To understand this, consider a scenario where a, b, and c represent three different lines:

Line a is perpendicular to line b.

Line b is perpendicular to line c.

Since line a is perpendicular to line b, it forms a right angle with line b. Similarly, line b is perpendicular to line c, forming a right angle with line c.

Now, imagine that line a and line c are not parallel.

In that case, they would intersect at some point, and we would have two perpendicular lines (a and b) intersecting at a third perpendicular line (b and c), which is not possible.

So, to maintain the condition that both a and b are perpendicular to the same line (b), we can conclude that a and c must be parallel to each other.

Hence, the correct option is A) parallel.

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Answer:

85

Step-by-step explanation:

add 4 values, excluding 72 (lowest grade)

total = 339

average = 330/4 = 84.75

84.75 rounding to nearest integer is 85