For what value of x would be the quotient (3x²+4x-5) ÷ (x+2) not make sense?

Answers

Answer 1

Answer: $(3x^2+4x-5):(x+2)\n \ndo\ not\ divide\ by\ zero\ \ \ \Rightarrow\ \ \ (x+2) \neq 0\ \ \ \Leftrightarrow\ \ \ x \neq -2\n \nFor\ x=-2\ the\ quotient\ not\ make\ sense.$

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Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.w ≥ 0.5l

2l + 2w ≤ 180

Answers

W > 0.5L

Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

The length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

What are inequalities?

Inequalities refers to a system of two or more quantities in which one quantity is greater than or less than the other.

Based on the data given:

W > 0.5L

Perimeter of the blanket is given as:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

L < 60

Therefore, the length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

Learn more about inequalities at: brainly.com/question/24372553

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Find the greatest common factor (GCF) for 72, 36, and 24.

Answers

12

Working;
12 is a common factor for all the terms.

List the measurements of three different rectangular prisms that each have a surface areaof 20 square units?

Answers

Answer:

3 measurements of different rectangular prisms that each have a surface area

of 20 square units is given as

(4.5 × 1 × 1)

(2 × 1 × 2.67)

(2 × 3 × 0.80)

Step-by-step explanation:

A rectangular prism is a cuboid and the surface area of a cuboid with length, x, width, y and height, z, is given as

S = 2xy + 2yz + 2xz

S = 2[xy + yz + xz]

So, the question asks us to list 3 different measurements of a rectangular prism with surface area of 20 square units.

S = 2[xy + yz + xz] = 20

[xy + yz + xz] = 10

So, with a little of trial and error, we can vary the values of x, y and z to obtain 3 separate measurements that give a surface area of 20 square units.

[xy + yz + xz] = 10

Let x = 4.5, y = 1, z = 1

(4.5×1) + (1×1) + (4.5×1) = 10, works!!!

(x, y, z) = (4.5, 1, 1)

[xy + yz + xz] = 10

Again, we can fix arbitrary values for two sides and calculate for the last side.

If x = 2 units, y = 1 unit,

(2×1) + (1×z) + (2×z) = 10

2 + 3z = 10

3z = 8

z = (8/3) = 2.667 units

(x, y, z) = (2, 1, 2.67)

[xy + yz + xz] = 10

And lastly, if x = 2, y = 3

(2×3) + (3×z) + (2×z) = 10

6 + 5z = 10

5z = 4

z = (4/5) = 0.80 unit

(x, y, z) = (2, 3, 0.80)

Hope this Helps!!!

What is a property of irrational numbers?A. Can be written as a fraction
B. Non-repeating
C. Can be written as a ratio
D. Terminating

Answers

. an irrational number is any real number that cannot be expressed as a ratio of intergers.irrational numbers cannot be represented as terminating or repeating decimals.

your answer is a:

shella is participating in a multi-day bike trip. on the first day, she rode 100 miles in 8 hours. use the expression d/t where d is the distance traveled and t is the travel time to find her average rate of travel. include units when evaluating the expression.

Answers

To solve this problem, first we have to substitute our integers in for our variables in the equation we are using.

d/t= 100 miles/8 hours

Then, we have to simplify the integer equation.

100 miles/8 hours = 12.5 miles per hour

This means that Shella traveled at an average speed of 12.5 mph on her bike trip.

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal.
She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?
(2 marks)

Answers

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

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