Plot the line for the equation on the graph.





y−2=−2(x+4)

Answer:

12 floors

Step-by-step explanation:

middle +3 floors= +3 .

+3 - 5 = -2.

-2 + 6= +4.

+4 - 10 = 6 x 2 = answer 12

to clarify the plus or minus mean how many floors he is above or below   the middle floor

Answer:

You could design a solar panel.

Step-by-step explanation:

Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.

(What the question is asking is that you design a product in which some of the aspects listed would be imitated)

Answer:

14^2+48^2=2500 sqrt2500= 50 c=50

Step-by-step explanation:

The length of c using the Pythagorean theorem is 50 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC which is right angle triangle

AB=c

BC=14 and AC=48

We have to find the value of c

By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

AB²=AC²+BC²

c²=48²+14²

c²=2304+196

c²=2500

Take square root on both sides

c=√2500

c=50

Hence, the length of c using the Pythagorean theorem is 50 units.

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Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x + 14 = 8.4x

14 = 1.4x

x = 10 hours

Each works 10 hours. Their total is 84 dollars each.

Answer:

36

2×18

2×9×2

2×2×3×3

6²

=> square root of 36 =6

Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

6x+3x+x=180 Simplify!

10x=180

x=18

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]

[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]

[tex]\Rightarrow 34x= 900(35-12)[/tex]

[tex]\Rightarrow x = (900\times 23)/34[/tex]

[tex]\Rightarrow x = 608.82[/tex] lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Answer:

The probability that she was on her next roll is 1/2

Step-by-step explanation:

If she does not roll 1,3 or 6, she wins

So if she rolls 2,4 and 6 , she wins

The probability of rolling each is 1/6 each

So the probability of rolling any of the three will be:

1/6 + 1/6 + 1/6 = 3/6 = 1/2

Answer:

53 lines

Step-by-step explanation:

You would divide 583 by 11, and that would get you your final answer of 53 lines.

Answer:

53 lines

Step-by-step explanation:

11 words → 1 line

583 words → (1/11 x 583) lines = 53 lines

Answer:

(3,0)

Step-by-step explanation:

The midpoint formula is as follows:

[tex]( (x1+x2) /2, (y1 + y2) /2 )[/tex]

x1 would be 9, x2 would be -3, y1 would be 2, y2 would be -2. When plugged in, you should get 6/2, and 0/2 for y. When simplified, x would be 3 and y would be 0. This means that the midpoint of the line segment is (3,0)

Answer:

7.2 I think, closest to 8 hours?

Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.

The probability that the dial stops on a red slice is 1/5 or 20%.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

Given:

number of total slices = 10

Red slices = 2

Blue slices= 4

Yellow slices= 10- 6 = 4

Now, probability that the dial stops on a red slice

=2/10

=1/5

=1/5 x 100

=20%

Hence, the probability that the dial stops on a red slice is 1/5 or 20%..

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Answer:

dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]

Step-by-step explanation:

-y + 2x²- x = -5y³

2x² - x = y - 5y³

4x - 1 = dy/dx - 15y².dy/dx

dy/dx(1 - 15y²) = 4x - 1

dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]

Answer:

The range is greater than or equal to -3

Step-by-step explanation:

The range is y.

At y  = -6, x doesn't have values.

At y = -3, x stops; therefore, y is greater or equal to -3.

At y = 2, x has values.

Answer:

A. -5

Step-by-step explanation:

-9 + 4 = -5

hope this helps

Answer:

A

Step-by-step explanation:

-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.

So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative

C is wrong because its 4/7, not 7/4

D is wrong because it's positive, leaving us with A

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Step-by-step explanation:

Answer:

rate of change = first derivative= g'(x)=-2x+6

plug -3 to 5 into that g'(x) equation, it will be your answer

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

The average rate of change of f(x) on the interval [a, b] is computed from ...

  m = (f(b) -f(a))/(b -a)

On the interval [-3, 5] the average rate of change is ...

  m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8

     = (-25 +30 +12 +9 +18 -12)/8 = 32/8

  m = 4

The average rate of change on the interval is 4.

__

Alternate solution

The first derivative of the function is ...

  f'(x) = -2x +6

The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...

  f'(1) = -2(1) +6 = 4

Answer:

the answer is here

Step-by-step explanation:

180- 68

=112

Answer:

C

Step-by-step explanation:

Given

6x + 8 = 3x - 19 ( subtract 3x from both sides )

3x + 8 = - 19 ( subtract 8 from both sides )

3x = - 27 ( divide both sides by 3 )

x = - 9 → C

Answer:

8x-20

Step-by-step explanation:

Answer:

AB≅AC  (two legs of isosceles triangles are always equal)

6x-14 = 4x+20

2x-14 = 20

2x = 34

x = 17

Base ⇒ 7x-12

           = 7(17)-12

           = 119-12

           = 107

Answer:

x=17, 107

Step-by-step explanation:

Since it is given that the triangle is isosceles, we can make the following equation:

6x-14=4x+20

x=17

To find the base (7x-12), all you have to do is plug in the value of x

7x-12

7*12-12

107

I hope this helps :)

Answer:

x=5 I think

Step-by-step explanation:

just search it up online

Answer:

48 days

Step-by-step explanation:

Given that :

Sumiko runs bleachers every 6 days

Jandella runs bleachera every 16 days

The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16

Multiples of

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...

16 : 16, 32, 48, 64,...

Lowest common multiple of 6 and 16 = 48

Hence, the soonest they'll see each other again is in 48 days

Answer:

g(1) = 72

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

g(x) = 9(2x² + 6)

g(1) is x = 1

Step 2: Solve

Awnser:

1/2 as m, and -3 as b

Step-by-step explanation:

To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate.  However, it only asks for b and m.

You'll need to first find 2 points.

I chose: (6,0) and (0,-3).

The formula to find the slope is: y2-y1/x2-x1.

0-(-3)/6-0

0+3/6

3/6

1/2

Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.

So the awnser is 1/2 as m, and -3 as b.

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you