ALGEBRA 1
1. Explain what the notation means. Explain what the letters f and x mean in this notation.

2. Provide the inputs and outputs of the function .

3. Explain how the graph of is obtained.

Use the following equation to answer the remaining questions.



4. Naming the function , write the function in function notation. Explain what the notation represents in this equation.

5. Provide the domain and range of the function. Explain how to obtain a graph of .

9514 1404 393

Answer:

  is no extraneous solution

Step-by-step explanation:

An absolute value equation typically does not have extraneous solutions. The solutions to this one are ...

  x ∈ {-5, 1}

__

Unless there is some domain restriction, this equation has no extraneous solutions.

_____

For -2x-4 < 0

  -2(2x +4) = -12

  x +2 = 3

  x = 1 . . . . . . -2(1)-4 = -6 < 0. Not an extraneous solution

__

For -2x-4 > 0

  -2(-2x -4) = -12

  4x +8 = -12

  4x = -20

  x = -5 . . . . . . -2(-5) -4 = 6 > 0. Not an extraneous solution

Answer: The temperature on the 5th day is -14 degrees.

Step-by-step explanation:

If we have a set of N values:

{x₁, x₂, x₃, ..., xₙ}

The mean value of this set is:

M = (x₁ + x₂ + ... + xₙ)/N

Now, we know that the mean temperature for the first 4 days of January is -4°

Then if the temperatures for the first four days are {T₁, T₂, T₃, T₄}

We have:

M₄ = (T₁ + T₂ + T₃ + T₄)/4 = -4°

Where we can replace (T₁ + T₂ + T₃ + T₄) by K

Then:

K/4 = -4°

K = -4°*4 = -16°

Is the sum of the temperatures for the first four days.

Now when we consider the first 5 days, the mean is -6°, and let's define T₅ as the temperature of the fifth day, then we get:

M₅ = -6° = (T₁ + T₂ + T₃ + T₄ + T₅)/5

And we know that:

(T₁ + T₂ + T₃ + T₄) = K = -16°

We can replace that in the above equation to get:

M₅ = (-16° + T₅)/5 = -6°

Now we can solve this for T₅

(-16° + T₅) = 5*(-6°) = -30°

T₅ = -30° + 16° = -14°

T₅ = -14°

The temperature on the 5th day is -14 degrees.

Answer:44

Step-by-step explanation:subtract 55-11 which would equal L

Answer:

If you are multiplying L*W the answer would be 5 because w=11 ok and we don't know what L is but we know what A is and a=55 so you have to think what do we multiply 11 by to get 55 weel it's 5 so that's how we would know it's 5 IF you were multiplying. now if you just adding L+W that answer would be 44 because 55-11=44

Hope this helped:)      

Answer:

35/7

13/4

Step-by-step explanation:

I hope to help you

Answer:

five and four sevenths

5 4/7

Step-by-step explanation:

make them both improper fractions, multiply straight accross, then simplify.

12/7  *  13/4

=  156/28

=  39/7

=  5 and 4/7    in mixed number form

Answer:

1.54

Step-by-step explanation:

the z-score is calculated with the formula z= ( raw score - mean) / standard deviation

z= (236 - 193) / 28

z= 43 / 28

z= 1.5357

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

you have to study

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

Answer:

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

Step-by-step explanation:

DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.

Let us represent:

Cost of 1 rose bush = x

Cost of 1 geraniums = y

DeShawn spent $13 on 1 rose bush and 4 geraniums.

x + 4y = 13..... Equation 1

x = 13 - 4y

Mike spent $56 on 10 rose bushes and 3 geraniums.

10x + 3y = 56....... Equation 2

We substitute 13 - 4y for x in Equation 2

10(13 - 4y) + 3y = 56

130 - 40y + 3y = 56

Collect like terms

- 40y + 3y = 56 - 130

-37y = -74

y = -74/37

y = $2

Solving for x

x = 13 - 4y

x = _13 - 4 × $2

x = $13 - $8

x = $5

Therefore,

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

Answer:

[tex]c. \: 1200 \: residents \: surveyed.[/tex]

Answer:

270 Minutes

Step-by-step explanation:

4hours = 240 Minutes

+30 minutes = 270 Minutes

The another way is same as;

Multiplying by 0.5 with original price.

Here,

A shop owner increases some prices by 50%.

We have to find another method to find same condition.

What is the percentage?

A relative value indicating hundredth parts of any quantity is called the percentage.

Now,

A shop owner increases some prices by 50%.

Let the original price is x.

Then, The increase value = x * 50% = x * 50/100 = 0.5x

Hence, To find the increase value we have to multiply by 0.5 with original price.

Learn more about the percentage visit:

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im on that, maybe i can try and help you?

Answer:

No

Step-by-step explanation:

7x2=14, 14+2=16, 16 is not 0.

Answer:

p(- 1) = 2 and p(1) = 2

Step-by-step explanation:

Substitute x = - 1 and x = 1 into p(x), that is

p(- 1) = (- 1)² + 1 = 1 + 1 = 2

p(1) = 1² + 1 = 1 + 1 = 2

Answer:

"adds by the same unbmer every time" is prob ur best bet

Step-by-step explanation:

Answer:

add by the same number everytime

Step-by-step explanation:

Answer:

f(-2)=6×-2+7=-12+7=-5

The event is independent event in nature .

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.

Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

According to the question

You pick a red jolly rancher candy from a jar, give it to a friend, then pick another red jolly rancher candy.

You pick a red jolly rancher candy from a jar, give it to a friend is independent event

and the second event pick another red jolly rancher candy. is completely independent event

and both of them are not dependent on each other

So this event is independent because two events happen is not depend on each other .

Hence, The event is independent event in nature .

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The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

The beach, the parking lot and the refreshment stand are illustrations of similar triangles.

(a) The distance between the spot and the parking lot

Represent this distance with d.

So, the equivalent ratio is:

[tex]\mathbf{32:d = d : 18}[/tex]

Express as fractions

[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]

Cross multiply

[tex]\mathbf{d \times d = 32 \times 18}[/tex]

[tex]\mathbf{d^2 = 576}[/tex]

Take square roots

[tex]\mathbf{d = 24}[/tex]

Hence, the distance between the spot and the parking lot is 24 m

(b) The distance between the refreshment stand and the parking lot

Represent this distance with d.

Using Pythagoras theorem we have:

[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]

[tex]\mathbf{d^2 = 1600}[/tex]

Take square roots

[tex]\mathbf{d = 40}[/tex]

Hence, the distance between the refreshment stand and the parking lot is 40 m

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Answer:

The four thinking math standards are problem solving, communication, reasoning, and connections. The content math standards are estimation, number sense, geometry and spatial sense, measurement, statistics and probability, fractions and decimals, and patterns and relationships.

Step-by-step explanation:

(G0OGLED THE ANSWER)

Answer:

B) 9² + 12² ≠ 18²

Step-by-step explanation:

Answer:

9² + 12² ≠ 18²

Step-by-step explanation:

Answer:

(0, 5)

Step-by-step explanation:

3x + y = 5

Plug x = 0

3*0 + y = 5

0 + y = 5

y = 5

y-intercept = (0, 5)

Answer and explanation:

If Magdala is trying to divide 2.12 by 4 then she would definitely need to change the place value of the dividend(2.12) and the divisor(4). In other words, both numbers need to be whole numbers.

To make 2.12 a whole number, we shift the decimal point two places to the right of the decimal point to get 212. We do same for 4 to get 400, since both numbers have to have their place values adjusted equally.

We divide 212 by 400 to get 0.53

Therefore 2.12 divided by 4= 0.53