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ozzi
3 years ago
6

If f(x) = x + 1 and g(x) = 2x – 7, which expression is equivalent to [f o g](3)?

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Step-by-step explanation:

(f ∘ g)(x)

= f(g(x))

= f(2x - 7)

= (2x - 7) + 1

= 2x - 6

So

(f ∘ g)(5)

= 2(5) - 6

= 10 - 6

= <u>4</u>

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Write a problem situation to match the inequality: x divided by 4 less than or equal to 5
Paha777 [63]

Answer:

yes it is ill explain

Step-by-step explanation:Find the student's error in solving the following inequality.31 < -5x + 625 < -5x-5 < x

The student should have added 6 to both sides instead of subtracting it.

The student divided 25/-5 incorrectly.

The student should have switched the direction of the inequality sign to get -5> x for a final answer.

The student should have switched the direction of the inequality sign to get -5> x for a final answer.

Find the student's error in solving the following inequality.2 < -3x -4 < 56 < -3x < 5-2 > x > -5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9.

The student divided 6/-3 incorrectly.

The student should not have switched the direction of the sign in the final step.

The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9.

Which answer choice is a solution to the inequality ?

-1

1

1.5

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1.5

Identify the property used in each step of solving the inequality .

Step 2: Addition property

Step 3: Multiplication property

Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.

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If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions

Sample response: The value of c could be 5 or any number greater than 5.

The solution is the intersection of both solution sets of the given inequalities.

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A number cannot be both less than 5 and greater than 5 at the same time.

Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 -10.

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Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.Let n = a number. Choose the inequality that represents the given relationship.

3(n - 2) Greater than symbol5n

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8 0
3 years ago
Read 2 more answers
Mr.Johnson imported some cartons of noodles.There were 28 packages of in each carton.he then sold 10 of noodles for $5 if he rec
iragen [17]

Answer:

The total number of cartons did he sale is 20  .

Step-by-step explanation:

Given as :

The total number package in each carton = 28

The total amount received after sale = $ 280

The cost of 10 noodles  = $ 5

Let the total number of cartoon sale = x

According to question

∵ The number of noodles costing $5 is 10

so,The number of noodles costing $1 is \frac{10}{5} = 2

∴ The number of noodles costing $280 = 2 × 280 = 560

Now, since there are 28 packages in 1 carton

So .  the number of carton did he sale = \dfrac{\textrm total number of noodles}{\textrm total package in each cartoon}

Or, The number of carton did he sale = \frac{560}{28} = 20

Hence The total number of cartons did he sale is 20  . Answer

6 0
3 years ago
Which of the following could be true if y ≤ -75?
ch4aika [34]

Hello!

Lets go through each choice, and determine if it is correct.

So, the symbol ≤, means less than or equal to. So our answer must be less than -75 or -75 on the dot.

A: y = 75

Okay, so we can tell this one is wrong off the bat. 75 is much more than -75. (Make sure you notice the symbol!) So it cannot be equal to said answer. A is wrong.

B: y =-74

Another trick question! When you are in the negatives, less is more! So -74 is actually greater than -75. This is also incorrect!

C: y > -75

This one is straight forward. Our equation up top strictly says <em>less than or equal too</em>, while C says greater than. Incorrect!

D: y = -75

The last answer! We see that the symbol in our equation up top says less than or equal too, and y = -75 is equal. This is the correct answer.

Our correct answer is D: y = -75

<em>waffletowne</em>

 

4 0
3 years ago
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
timofeeve [1]

Answer:

Width = 2\frac{1}{4}cm

Length=5\frac{5}{12} cm

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is 15\frac{1}{3} cm

Length is 3\frac{1}{6} cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is x+3\frac{1}{6} cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))

15\frac{1}{3}=2(2x+3\frac{1}{6})

Thus;

15\frac{1}{3}=4x+6\frac{1}{3}

4x=9\\x=2\frac{1}{4}

Therefore;

Width = 2\frac{1}{4}cm

Length = x + 3\frac{1}{6}

           =2\frac{1}{4}+3\frac{1}{6}

            =5\frac{5}{12} cm

Therefore; the length is 5\frac{5}{12} cm while the width is 2\frac{1}{4} cm

7 0
3 years ago
What is the value of x in the diagram?
Burka [1]
X=12 that’s your answer
3 0
3 years ago
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