6) Write the equation, g(x), that is 9 units below f(x) = 3^X+ 2.

Answer: See below

Step-by-step explanation:

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

a) The probability of a multiple of 3 or a multiple of 7 is 40%.

b) The probability of even and odd is 100%.

c) The probability of the number being prime is 45%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

To know more about probability follow

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#SPJ2

Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

[tex]\frac x5 = \frac 74[/tex]

Divide 7 by 4

[tex]\frac x5 = 1.75[/tex]

Multiply through by 5

[tex]x= 8.75[/tex]

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

Read more about double number lines at:

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Answer:

Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.

Step-by-step explanation:

hope it helps you

Answer:

below

Step-by-step explanation:

6x6x3=108

Answer:

the answer would be -202

Step-by-step explanation:

since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202

Answer:

x+(2+x)+(4+x)+(6+x)= x+12

2x + 6+x = 3x +6

2+ x + 4+x= 2x + 6

2x + 6 + 11 = 3x+6

2x + 17 = 3x +6

3x-2x = 17-6

x = 11

therefore the four consecutive odd integers are

11, 13, 15 and 17

Answer:

y = 6

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]

Step 1: Substitute the second equation into the first and solve for x.

[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]

Step 2: Substitute 9 as the value of x in any equation and solve for y.

[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]

The solution to the given system of equations is (9, 6).

Learn more here:

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Answer:

  22

Step-by-step explanation:

Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...

  (3x +45) > (7x -45)

  90 > 4x . . . . . . . . . . . add 45 -3x to both sides

  22.5 > x . . . . . . . . . . divide by 4

The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.

_____

Additional comment

If Jake normally delivers more than 45 papers, then we must also have ...

  7x > 45

  x > 6 3/7

There must be at least 7 houses on each street.

Answer:

your answer will be (yes = true)

Answer:

a) 4:7:3

b) 4:7 / 20:35

c) 3:7 / 15:35

Answer:

Rule: A=50n

Step-by-step explanation:

Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.

Our rule is: A=50n

Then we insert 3 values for n, and solve to get the ordered pairs.

n=3 purses, A=3*50=150 dollars

n=4 purses, A=200 dollars

n=5 purses, A=250 dollars

Answer:

4 ( x - 5 ) x ( x + 5 )

Step-by-step explanation:

1- Factor the expression

2- Factor the expression

Answer:

They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.

Step-by-step explanation:

4x^2 -100

[tex]4(x ^{2} - 25)[/tex]

This would be finding the Greatest common factor

[tex]4(x - 5)(x + 5)[/tex]

This would be finding the difference of two squares

hopefully this is a good enough explanation

Answer:

73.5 in^2

Step-by-step explanation:

Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.

Answer:

2 8

3 27

4 64

5 125

6 204

7 343

8 512

9 729

10 1000

Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

Answer:

7km

Step-by-step explanation:

[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]

Answer:

The mean is 321.67 which can be rounded to 321.7 or 322

Step-by-step explanation:

360+310+280+330+310+340 = 1930

1930 / 6 = 321.666666667

The mean is 321.67 which can be rounded to 321.7 or 322

Hope this helps!

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Answer:

Sana all my jówa haha thanks

Answer:

there is no question you just made a statement

Answer:

1/27

Step-by-step explanation:

If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y

They gave us that x is -3 (the first number in an ordered pair is the x).

y = 3^x

y = 3^(-3)

y = 1/(3^3)

**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**

y = 1/27

Because3^3 is 3×3×3 is 27

Answer:

A is 75

B is 15

C is 105

Step-by-step explanation:

90-75=15

B is 15

A and C have a total of 180 degrees

180-75=105

C is 105

180-105=75

A is 75

Answer:

A

Step-by-step explanation:

f - g = (3x - 2) - (2x + 1) = x - 3

A

Answer:

1 / 5^7 the last one is correct

Answer:

I checked and the person above is correct

Dilation involves changing the size of a square

The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

The vertices of the square are given as:

D(0,0), E(2, 4), F(6,2), and G(4,-2)

The scale factor (k) is given as:

k = 5/2

So, the image of the square is:

[tex]D' = 5/2 * (0,0) = (0,0)[/tex]

[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]

[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]

[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]

Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

Read more about dilation at:

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Answer:

301, 35

Step-by-step explanation:

1st number = x, 2nd = y

x + y = 336

x = 126 + 5y

Then

(126 + 5y) + y = 336

6y = 336 - 126 = 210

y = 210/6 = 35

x = 126 + 5y = 126 + 5*35 = 301

Or x = 336 - 35 = 301

The two numbers are 301 and 35