Write an equation in slope-intercept form of the line that passes through the given points.

y=

Answer:

I believe the answer is x=10

Hope this is correct! :)

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[tex] {9}^{(x + 2)} = {27}^{8} \\ [/tex]

[tex]( { {3}^{2} })^{x + 2} = ({ {3}^{3} })^{8} [/tex]

[tex] {3}^{2 \times (x + 2)} = {3}^{3 \times 8} [/tex]

[tex] {3}^{2(x + 2)} = {3}^{24} [/tex]

Thus :

[tex]2(x + 2) = 24[/tex]

Divide sides by 2

[tex] \frac{2(x + 2)}{2} = \frac{24}{2} \\ [/tex]

[tex]x + 2 = 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 12 - 2[/tex]

[tex]x = 10[/tex]

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Answer:

Step-by-step explanation:

y - 5 = 3(x - 0)

y - 5 = 3x - 0

y = 3x + 5

Answer:

Step-by-step explanation:

answer on edmentum

Answer:

7

Step-by-step explanation:

Answer:

y = 3x + 6

Step-by-step explanation:

To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:

y = mx + b

y = 3x + b

-3 = 3(-3) + b

-3 = -9 + b

Add 9 to both sides to isolate the b:

-3 + 9 = -9 + 9 + b

6 = b

The y-intercept is 6. Let's put that into our equation:

y = 3x + 6

Now we have our answer :)

Answer:

0.3

Step-by-step explanation:

Given that:

Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75

Number of seeds planted(n) = 9

Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r

Using binomial distribution formula :

nCr * p^r * (1 - p)^(n-r)

9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)

9C7 * 0.75^7 * 0.25^2

36 * 0.13348 * 0.0625

= 0.3003387

= 0.3

Hence, probability that exactly 2 don't grow is 0.3

Answer:

2/8

Step-by-step explanation:

Cost of book 8 sample purchases  (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29,  101.25

Chance (Probability) of paying under $70 = Favourable outcomes (<70)

                                                                          Total outcomes

= 2/8

Answer:

-0.42

Step-by-step explanation:

Answer: -0.42

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

8+(-12)=-4

Answer:

The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11

Step-by-step explanation:

I would suggest that you use your graphing calculator for this or calculator.

Answer:

4 runners

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is B.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Since for the two functions to be inverse of each other, the line of equations must bisect each other at 90° so that the product of the slope of the two equations is equal to -1.

For the second graph, the slope of the blue line is,

m₁ = (-1-0)/(0-4) = 0.25

The slope of the green line is,

m₂ = (-4-0)/[0-(-1)] = -4

Now, the product of the slope can be written as,

0.25×-4 = -1

Since the product is -1, the function is inverse of each other.

Hence, the correct option is B.

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Answer:

Total price (P) = 1.29n + 0.79w + 2.39b

where n,w and b are pounds of respective items

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Favorable outcome is 3

Total outcome is 8

P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]

The theoretical probability is 0.375

We have given that, a diagram of the circle.

We have to find the theoretical probability and simplify the probability.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The favorable outcome is 3.

The total outcome is 8

P(1, 2, or 3) = 3/8

The theoretical probability is 0.375

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Answer:

Step-by-step explanation:

4.25+2.25=6.50 per person

6.50*2 people= 13.00

13.00*5% tax=0.65 tax

13.00+.65= 13.65

Answer:

Step-by-step explanation:

4.25 x 2 + 2.25 x 2 = 13

Convert 5% into a decimal ( 0.05)

0.05 x 13 = 0.65

0.65 + 13 equals 13.65

Answer:

the answer is= 38.8  

Step-by-step explanation:

Answer:

what does the dot mean? so far without the .4y I got 9

Step-by-step explanation:

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

[tex]d(h) = \dfrac{1}{6}|h - 300| - 50[/tex]

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

[tex]d(h) = \dfrac{1}{6}|h - 300| - 50 = -20[/tex]

Let us add the sum of 50 on both sides, then:

[tex]= \dfrac{1}{6}|h - 300| - 50+50 = -20+50[/tex]

[tex]= \dfrac{1}{6}|h - 300| = 30[/tex]

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180   or     h  - 300  = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300     or   h - 300 + 300   = -180  + 300

h = 480     or  h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex] is an illustration of an absolute function.

The buoy should be placed at 480 feet from the left shore

The function is given as:

[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex]

To place a buoy at 20 feet below, means d(h) = -20

So, we have:

[tex]\mathbf{-20 = \frac 16|h - 300| - 50}[/tex]

Add 50 to both sides

[tex]\mathbf{30 = \frac 16|h - 300|}[/tex]

Multiply both sides by 6

[tex]\mathbf{180 = |h - 300|}[/tex]

Remove absolute bracket

[tex]\mathbf{h - 300 = -180}\ or\ \mathbf{h - 300 = 180}[/tex]

Make h the subject

[tex]\mathbf{h = 300-180}\ or\ \mathbf{h = 300+180}[/tex]

[tex]\mathbf{h = 120}\ or\ \mathbf{h = 480}[/tex]

This means that, the buoy should be placed at 480 feet from the left shore

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Answer: 35

Step-by-step explanation:

Answer:

B. Dependent variable

Answer:

answer choices?

Step-by-step explanation:

Answer: 51 & 54

Step-by-step explanation:

Based on the line of best fit luther can expect the average speed of his pitches to be about __51___ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ____54__ pitches.​

Answer:

f ( - 1 ) = 5        

Step-by-step explanation:

Step 1:

f ( x ) = - 2x + 3         Function

Step 2:

f ( - 1 ) = - 2 ( - 1 ) + 3         Input x value

Step 3:

f ( - 1 ) = 2 + 3        Multiply

Answer:

f ( - 1 ) = 5        Combine Like Terms

Hope This Helps :)

rAnswer:

Step-by-step explanation:

20$

Answer:

x = 7 ± [tex]\sqrt{15}[/tex]

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )

x = 7 ± [tex]\sqrt{15}[/tex]

Answer:

2x-3

Step-by-step explanation:

f(x) = 3x-1

g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

Answer:

x        -6         3        15       -12

y        11         5         -3        15

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y = -\frac{2}{3}x +7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer: Hope it helps :)

-4

7

Step-by-step explanation:

You have to use the formula y2-y1

                                                x2-x1

So -4-4

     8--6

-4-4= -8

8--6= 14 (two negative signs become a positive sign)

You have -8 over 14

If you simplify it's -4/7 or -4

                                         7

Answer:

-4/7

Step-by-step explanation:

Answer:

C. (Chanterelle mushrooms cost less by $0.90)

Step-by-step explanation:

Divide 11.25 by 2/3, for the total amount of pound for the Cremini.

Do the same thing for Chanterelle, but the numbers given for it.

We than find out that Cremini=16.87, and Chanterelle=15.98

Now that we know Cremini is more that Chanterelle, we need to find the difference, by subtracting The bigger number by the smaller number.

Our answer is 0.89, but we will round it to 0.90.

Now we know that the Cremini costs more by $0.90, and the Chanterelle costs less by $0.90

Answer:

Step-by-step explanation:

Cost of 1 lb of Cremini mushrooms= 11.25×3/2=33.75/2=16.875 $≈$16.88

Cost of 1 lb of Chanterelle mushrooms=7.99×2/1=$15.98

Chanterelle mushrooms cost 16.88-15.98=$0.90 less

Answer:

x = -4

Step-by-step explanation:

To solve this type of question, put the term with the exponent on one side and the numerical term on the other side

∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29

→ Add 3 to both sides

∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3

∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32

→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent

   from one side to the other side reciprocal it

∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]

→ Use your calculator to find the value of  [tex](32)^{\frac{4}{5}}[/tex]

∵  [tex](32)^{\frac{4}{5}}[/tex] = 16

∴ 8 - 2x = 16

→ Subtract 8 from both sides

∴ 8 - 8 - 2x = 16 - 8

∴ -2x = 8

→ Divide both sides by -2

∴ x = -4

To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right

∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex]  = -3 + 32 = 29

∵ Right side = 29

∴ The solution is right

Answer:

h = V / πr²

Step-by-step explanation:

V = πr²h

Where,

V = volume of a cylinder

π = π

r = radius of the cylinder

h = height of the cylinder

V = πr²h

Solve for h

V = π × r² × h

Divide both sides by π × r²

h = V / π × r²

h = V / πr²

Height of the cylinder = volume of the cylinder / pie × r²

Answer:

8%

Step-by-step explanation:

12/250=0.08

0.08=8%

Answer:

8%

Step-by-step explanation: