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3 years ago

Rewrite the expression without using grouping symbols: y • 4 + y • z

Mathematics

1 answer:

exis [7]3 years ago

6 0

Answer:

y(4 + z)

Step-by-step explanation:

Here in this problem, we have to rewrite the expression y • 4 + y • z without using the grouping symbols.

Now, we can assume that '•' symbol here represents the multiplication symbol.

So, there are two parts of the expression and in both of the parts, y is multiplied. Hence, we can take common y from both parts.

So. y • 4 + y • z = y(4 + z).

Therefore, option c matches the result. (Answer)

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13. The photo below is being enlarged to form a 24-by 30-inch print. What is the scale factor being used to enlarge it?

RUDIKE [14]

Answer:

Step-by-step explanation:

24/4 = 6

30/5 = 6

Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6

5 0

2 years ago

Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.

laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

if |a|> b then a>b or a<-b
if |a|-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0

3 years ago

Find the 12th term of the sequence: 48, 44, 40, 36... A.4 B.8 C.12 D.16

gregori [183]

Answer:

the answer that I found is A. 4

4 0

3 years ago

Read 2 more answers

Can someone please explain how to do these?

Pani-rosa [81]

Answer:

First question answer: The limit is 69

Second question answer: The limit is 5

Step-by-step explanation:

For the first limit, plug in $x=8$ in the expression $(9x-3)$ , that's the answer for linear equations and limits.

So we have:

$9x-3\\9(8)-3\\72-3\\69$

The answer is 69

For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value $x=1$ into the simplified expression to get the correct answer. Shown below:

$\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}$

Now putting 1 in $x$ gives us the limit:

$\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5$

So the answer is 5

3 0

3 years ago

Jenny is displaying her photographs

Inga [223]

Answer:

A) 9 photos in each row

B) 14 rows in total

Step-by-step explanation:

Photos of People = 45

Photos of Landscapes = 18

Photos of Pets = 63

Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.

By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.

So,

There will be:

45/9 = 5 rows with photos of people

18/9 = 2 rows of photos of landscapes

63/9 = 7 rows of photos of pets

So, total number of rows would be = 5 + 2 + 7 = 14 rows

3 0

3 years ago