Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =

Answer:

x = 5

x = 11/2

x = -5/2

x = 3

x = 5/2

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

7^(3x+7) = 7^(-8x-4)

First Step: Cancel out like bases.

3x + 7 = -8x - 4

Second Step: Add 8x on both sides.

11x + 7 = -4

Third Step: Subtract 7 on both sides.

11x = -11

Fourth Step: Divide by 11 on both sides.

x = -1

Answer:

all

Step-by-step explanation:

first we can combine 5x and - 2x

5x + -2x = 3x

now we have 3x + 5 > 11

now we can go through all of the numbers to see which numbers make the inequality true

3 yes

3 * 3 = 9

9 + 5 = 14

so all of the numbers make it true

Answer:

d is the right answer

Step-by-step explanation:

3x+5-2x>11

3(3)+5-2(3)>11

8>11

so a is wrong

3(5)+5-2(5)>11

10>11

so b is wrong

3(6)+5-2(6)>11

11>11

 c is wrong bc they equal

Answer:

Step-by-step explanation:

3 (-4 x - 1) - 2 x + 4 = 43

Expand the terms in the bracket

That's

- 12x - 3 - 2x + 4 = 43

- 14x + 1 = 43

Using the subtraction property subtract 1 from each side of the equation

- 14x + 1 - 1 = 43 - 1

- 14x = 42

Divide both sides by - 14

[tex] \frac{ - 14x}{ - 14} = - \frac{42}{14} [/tex]

We have the final answer as

Hope this helps you

Answer:

The answer for the first one is 1 and the second answer is 12i.

Step-by-step explanation:

The value of the given imaginary number i¹² will be 1 thus option (A) is correct.

A complex number is the sum of a real number and an imaginary number.

The idea of a complex number has come by solving a quadratic equation that has root as negative under root.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The value of iota(i) is given as i = √(-1).

By the law of indices,

i¹² = (i²)⁶

⇒ (-1)⁶

Since the even exponents of a negative number give positive output thus  (-1)⁶ = 1.

Thus, i¹² = 1

Hence "The value of the given imaginary number i¹² will be 1".

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Answer:

x =-3.5

Step-by-step explanation:

0.4x+3=0.2(3x+1)−x

Distribute

.4x +3 = .6x+.2 -x

Combine like tersm

.4x+3 = -.4x+.2

Add .4x to each side

.4x+3 +.4x = -.4x +.2 +.4x

.8x +3 =.2

Subtract 3 from each side

.8x+3-3 = .2-3

.8x = -2.8

Divide each side by .8

.8x/.8 = -2.8 /.8

x =-3.5

Answer:

x=-3.5

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]

[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]

The value of x from the angle bisector is: x = 20

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

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Answer:

Remember that:

Speed = distance/time.

Then we can calculate the average speed in any segment,

Let's make a model where the average speed at t = t0 can be calculated as:

AS(t0) = (y(b) - y(a))/(b - a)

Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.

Then:

if t0 = 100s

AS(100s) = (400ft - 0ft)/(200s - 0s) =   2ft/s

if t0 = 200s

AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s

if t0 = 300s

AS(300s) = (3200ft - 400ft)/(400s - 200s) =  14ft/s

if t0 = 400s

AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s

So for the given options, t = 400s is the one where the velocity seems to be the biggest.

And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.

Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.

Speed is simply the rate of change of distance over time.

The greatest speed is at [tex]t = 400[/tex]

To calculate the time of the greatest speed, we simply calculate the slope between each interval.

The slope (m) of a line is:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

When [tex]t = 100[/tex]

[tex](t_1,y_1) = (0,0)[/tex]

[tex](t_2,y_2) = (200,400)[/tex]

So, we have:

[tex]m = \frac{400-0}{200 -0}[/tex]

[tex]m= \frac{400}{200}[/tex]

[tex]m = 2[/tex]

When [tex]t = 200[/tex]

[tex](t_1,y_1) = (100,50)[/tex]

[tex](t_2,y_2) = (300,1360)[/tex]

So, we have:

[tex]m = \frac{1360-50}{300 -100}[/tex]

[tex]m = \frac{1310}{200}[/tex]

[tex]m = 6.55[/tex]

When [tex]t = 300[/tex]

[tex](t_1,y_1) = (200,400)[/tex]

[tex](t_2,y_2) = (400,3200)[/tex]

So, we have:

[tex]m = \frac{3200-400}{400 -200}[/tex]

[tex]m = \frac{2800}{200}[/tex]

[tex]m = 14[/tex]

When [tex]t = 400[/tex]

[tex](t_1,y_1) = (300,1360)[/tex]

[tex](t_2,y_2) = (500,6250)[/tex]

So, we have:

[tex]m = \frac{6250-1360}{500-300}[/tex]

[tex]m = \frac{4890}{200}[/tex]

[tex]m = 24.45[/tex]

From the above computation, the greatest speed (i.e. slope) is

[tex]m = 24.45[/tex]

The corresponding time at [tex]m = 24.45[/tex] is [tex]t = 400[/tex]

Hence, the greatest speed is at [tex]t = 400[/tex]

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Answer:

the answer would be C :)

Answer:

25min

Step-by-step explanation:

40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*

(the unit rate)*. Sorry if I'm worng.

Answer:

10 miles per second

Step-by-step explanation:

if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).

The speed of Atlas V Rocket was 10 mile per second.

Here,

The distance travel by Atlas V Rocket was = 1 mile

Time taken = 1/10 second

We have to find the speed of Atlas V Rocket.

What is Speed?

Speed of an object is calculated as;

Speed = Distance/Time

Now,

The distance travel by Atlas V Rocket = 1 mile

Time taken = 1/10 second

Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]

Therefore, The speed of Atlas V Rocket was 10 mile per second.

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Answer:

x = -1/3

Step-by-step explanation:

x -1/3 = -2/3

Add 1/3 to each side

x -1/3  + 1/3= -2/3+ 1/3

x = -1/3

Answer:

don't worry bbg I got you give me a moment

Answer:

Yes

Step-by-step explanation:

If y is the total cost, then this would be correct.

Answer:

He needs to sell an average of 3.5 items a day to reach his goal.

Step-by-step explanation:

To find the average he needs to sell, we need to divide the items he needs to sell by the number of days he has left to sell. He has 63 items and needs to sell them within 18 days.

63/18=3.5

He needs to sell an average of 3.5 items a day to reach his goal.

The salesman should sell 3.5 items on a daily average to reach his target when he needs to sell 63 items in 18 selling days.

The average is defined as the sum total of observations divided by the total number of observations.

In the question, we are informed that a salesman needs to sell 63 items to make it monthly within 18 selling days left in the month.

We are asked the average number of items he should sell daily to reach his goal.

The average number of items per day can be calculated as the ratio of the total number of items left to the total number of days left.

Therefore, the average number of items per day = 63/18 = 3.5.

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Answer:

95/32

Step-by-step explanation:

You can multiply 32 by two, 64, then add 31, 95

Answer:

95/32

Step-by-step explanation:

yea i checked and it is 95/32

Answer:

B.) 0.03288%

Step-by-step explanation:

I hope this helps you :)

Answer:

Periodic Interest Rate (P)

(rate per compounding period)

0.03288%

Answer is B

Step-by-step explanation:

Huh? Is yo question finished

Answer:

thanks

Step-by-step explanation:

:) hahahahahah

Answer:

The answer would be E.

When you solve 25 x 1/5, you get 5.

When you solve 25 ÷ 5, you get 5.

The equivalent expression is 25 ÷ 5.

Option E is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example.

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

25 x 1/5

= 25 x 1/5

= 5 x 5 x 1/5

= 5

Now,

1/25 x 5

= 1/5

1/25 x 1/5

= 1/125

1/25 ÷ 1/5

= 1/25 x 5

= 1/5

5 ÷ 25

= 5/25

= 1/5

25 ÷ 5

= 5

We see that,

25 x 1/5 and 25 ÷ 5 have the same value.

Thus,

The equivalent expression is 25 ÷ 5.

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Answer:

x < 9

Step-by-step explanation:

x is less than nine

x < 9

Answer:

x<9

Step-by-step explanation:

less than symbol is this <

The question is x is less than 9

so

x<9

Hope this helps!

Answer:

-25(x - 4) = -55(x - 10)

-25x+100= -55x+550

-25x+55x=550-100

30x=450

x=15

Answer:

x= 15

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-25x-(-25)4= -55x-(-55)10

Step 2- Multiply to simplify

-25x+100= -55x+550

Step 3- Add -55x to both sides

-25x+100= -55x+550

+55x          +55x

Step 4- Subtract 100 to both sides

30x+100= 550

      -100   -100

Step 5- Divide both sides by 30

30x= 450

30     30

x= 15

Answer:

Step-by-step explanation:

1.17/10

2.6/5

3.11/5

answers:

170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]

120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]

220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]

hope this helps! best of luck <3

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

Answer:

80:50 800:500 16:10

Step-by-step explanation:

Answer:

835  

5 and up is rounded higher.