question 8 math homework

The true statement about the function in the table is that slope of m(x) is negative while slope of n(x) is positive

The equation of line in slope intercept form is written as

y = mx + c where m = slope and the y intercept is c

from the table the simultaneous equation is derived and solved as follows

-5/2 = 2m + c

1/2 = 0 + c

hence c = 1/2, solving for m gives

-5/2 = 2m + 1/2

-5/2 - 1/2 = 2m

2m = -3

m = -3/2

hence the slope is negative

for the second the values

1 = 2m + c

-1/3 = 0 + c

c = -1/3

solving for m knowing that c = -1/3

1 = 2m + (-1/3)

1 + 1/3 = 2m

4/3 = 2m

m = 2/3

hence the slope is positive

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To find the scale of the model train boxcar, we need to determine the ratio of the actual size of the boxcar to the size of the model. We can do this by dividing the actual size of the boxcar by the size of the model:

scale = actual size / model size

Plugging in the values from the problem, we get:

scale = 606 inches / 6 inches

Simplifying this expression gives us:

scale = 101

So, the scale of the model train boxcar is 101. This means that for every 1 inch of the model, there are 101 inches in the actual size.

Answer:

Yes

Step-by-step explanation:

To determine if this is a function we can put the vertical line test into place, in which we'd go from each point and construct a vertical downward, if that line intersects with any given point it is not a function.

In this case it is a function.

To find the distance between the points (6.6,7.9) and (6.6,4.7), we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the two points, we get:

distance = √((6.6 - 6.6)^2 + (4.7 - 7.9)^2)

Simplifying this expression gives us:

distance = √((0)^2 + (-3.2)^2)

Which simplifies to:

distance = √(10.24)

Finally, taking the square root of both sides gives us:

distance = 3.2

So, the distance between the points (6.6,7.9) and (6.6,4.7) is approximately 3.2.

The pairs of coordinates should be matched with the distances between them should be matched as follows;

Pairs                      Distance                 

(4, 2) and (1, -2)   → 5 units.

(-8, 7) and (2, -3)  → √200 units.

(9, 1) and (1, 9)      → √128 units.

(-2, -6) and (-8, 2)  → 10 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the ordered pairs (4, 2) and (1, -2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 4)² + (-2 - 2)²]

Distance = √[(-3)² + (-4)²]

Distance = √(9 + 16)

Distance = √25

Distance = 5 units.

For the ordered pairs or points (-8, 7) and (2, -3), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(2 + 8)² + (-3 - 7)²]

Distance = √[(10)² + (-10)²]

Distance = √(100 + 100)

Distance = √200 units.

For the ordered pairs or points (9, 1) and (1, 9), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 9)² + (9 - 1)²]

Distance = √[(-8)² + (8)²]

Distance = √(64 + 64)

Distance = √128 units.

For the ordered pairs or points (-2, -6) and (-8, 2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-8 + 2)² + (2 + 6)²]

Distance = √[(-6)² + (8)²]

Distance = √(36 + 64)

Distance = √100

Distance = 10 units.

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It would take 43 years for the plant specie to become invasive.

We know that the increase of the plant is following the exponential function and this can be seen from the question that we have here. We now have to create a model that we can use to solve the question.

Using

Pt = Poe^rt

Pt = population at time t

Po = initial population

r = population growth rate

t = time taken

Then;

10000 =500e^0.07t

10000/500 = e^0.07t

20 = e^0.07t

ln20 = 0.07t

t = ln20/0.07

t = 43 years

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The exponential functions have the values of x as;

19) 0.53

20)  5.6

We know that when we are told that a function is an exponential decay function, what it means is that the function is decreasing with time. Thus we are going to put a negative sign and the point of the exponential.

Now we have;

19)

Initial value = 100

Decay rate = 0.95

f(x) = 60

Thus;

60 =100e^-0.95x

60/100 = e^-0.95x

0.6 = e^-0.95x

ln(0.6) = -0.95x

x = ln(0.6) /-0.95

x = 0.53

For 20;

Initial factor = 5000

Decay factor = 0.7

f(x) = 100

Thus;

100 = 5000e^-0.7x

100/5000 = e^-0.7x

0.02 = e^-0.7x

ln(0.02) = -0.7x

x = ln(0.02) / -0.7

x= 5.6

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Answer:

1/3⁶

Step-by-step explanation:

(-1/3)⁴(-1/3)²

(1⁴/3⁴)(1²/3²)

(1/81)(1/9)

1/729

1/3⁶

hope it helps. Please mark brainliest.

Answer:

246.000

Step-by-step explanation:

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

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

Use the formula (b/2) to the 2nd power in order to create a new term in order to find the perfect square trinomial. 4c2+20cd+106d2

Answer:

For the exercise 3

1)14

2)8

3)18

Answer:

14

Step-by-step explanation:

Answer: 0.78-(1-0.34)

Step-by-step explanation

To solve this equation you need to create an algebraic expression.

algebraic expression: mathematical statement with  at least 2 terms which can be numbers are variables.

To solve this expression:

1. Take the given info and put it in an equation

0.78-(1-0.34)

Answer:

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

z = 7

4z - 10

= (4×7) - 10

= 28 - 10

= 18

Answer:

18

hope you like it

Answer:

the answer to part B is 5+7+3x5

Step-by-step explanation:

Answer:

33.33M2 as a decimal and 100/3 M2 as a fraction

Step-by-step explanation:

I had the question on khan academy and got it right when I put it in as a FRACTION

Answer:

Any value greater than 0.5.

Step-by-step explanation:

First, set the inequality to an equation and solve for x:

[tex]-3x+5x-2=-4x+1\\2x-2=-4x+1\\2x-2+4x=-4x+1+4x\\6x-2=1\\6x-2+2=1+2\\6x=3\\(\frac{1}{6})6x=3(\frac{1}{6})\\x=\frac{1}{2}[/tex]

This is the value at which the inequality equals 0.  To test the inequality and determine whether x is greater or less than [tex]\frac{1}{2}[/tex], choose any value of x that is easy to work with on either side of [tex]\frac{1}{2}[/tex]:

For x=0:

-3(0)+5(0)>-4(0)+1

0>1  This is not a true statement.  Therefore, x is not less than [tex]\frac{1}{2}[/tex].

For x=1:

-3(1)+5(1)>-4(1)+1

-3+5>-4+1

2>-3  This is a true statement.  Therefore, x is any value greater than [tex]\frac{1}{2}[/tex].

Answer: 29/8 You were correct. You cannot simplify this problem any further. :)

Step-by-step explanation:

convert to improper fraction and find the common denominator

Answer:

25% change

Step-by-step explanation:

find change by diff/org

so 5/20

5/20 =?/100

multiply by 5

25/100=?/100

?=25

The median age for the Chess Club members is greater than the median age for the Checkers Club members.

Answer: 36100

Step-by-step explanation:

19x10

190

190^2

36100

Answer:

If the question is [tex]19 * 10^{2}[/tex], then the answer is 1,900. However, if the question is [tex](19 * 10)^{2}[/tex], then the answer will be 36,100.

Step-by-step explanation:

19 × 10^2= 19 × 100= 1,900

(19 × 10)^2= 190^2= 36,100

Answer:

The water bottle holds 9 cups of water.

Step-by-step explanation:

1 bottle = 72 oz (ounces)        1 cup = 8 oz (ounces)      1 bottle = ? cups

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups

The water bottle holds 9 cups of water.

Here, we have,

given that,

A water bottle holds 72 ounces of water.

so, we get,

1 bottle = 72 oz (ounces)

now, we know that,      

1 cup = 8 oz (ounces)      

so, we have to find that,

1 bottle = ? cups

we have,

if 8 oz = 1 cup

then, 72 oz = 72/8 cups

i.e. we get,

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups.

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Answer:

The distributive law of multiplication states that when a number is multiplied with the sum is equal to the number multiplied by each addend with the number and then sum of the both products.

by example a*(b+c)=(a*b) + (a*c)

Here the expression A is (5/6)*250

the expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

=250*(1/3+1/2) applying distributive law of the multiplication

=250*((2+3)/6)

=250*(5/6)

=(5/6)*250

Therefore the expression A is equal to the expression B.

Step-by-step explanation:

The vertical length is 2 units and Horizontal length is 6 units.

The distance between two (a, b) and (c, d) is

d= √(c- a)² + ( d- b)²

Given:

Points from graph (-2, 1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Vertical Length (-2, 1) and (-2, -1)

Using Distance Formula

d = √ ( -2 - (-2))² + (-1 - (1))²

d= √ 0 + 4

d= 2units

and Horizontal Length (-2, -1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Hence, the vertical length is 2 units and Horizontal length is 6 units.

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Answer:

Answer is 40

Step-by-step explanation:

literally all you have to do is subtract 70 - 30 = 40

so your answer would be 40 another way is 30 + 40 = 70

just have to see what number would get you to 70 if you did the problem the second way.

Answer:

C

Step-by-step explanation:

1. define the variables for c and t

c =  total cost (in dollars)

t = # of movie tickets

2. draw a table

x: 1,2,3,4,5...

y: 14.25, 28.5, 42.75, 57, 71.25...

Answer:

C

Step-by-step explanation: