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Mars2501 [29]
3 years ago
7

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solve the inequality |x-5 < 0 ?|
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

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5) Using the terms "input" and "output" and the definition of a function, explain why this relationship is or is
Aleks [24]

Answer:

This relationship is a function

Step-by-step explanation:

While a function may not have two output values (y) assigned to the same input value (x), it may have two input values (x) assigned to the output value (y).

The table follows that rule

6 0
3 years ago
Kim will say 50% in she opens a credit card she wants to buy a jacket for 120 what will be her savings
Maurinko [17]

Answer:

Kims savings will be $60.

Step-by-step explanation:

120 * .50 = 60

7 0
3 years ago
A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park
MaRussiya [10]

Answer:

6.25 km

Step-by-step explanation:

Here is the correct question: A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.  

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle =2\times (length + width)

Perimeter is given 12.5 km

⇒ 12.5= 2\times (4x+x)

⇒ 12.5= 10x

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle= length\times width

∴ Area of rectangle= 5\times 1.25 = 6.25 km

∴Area of park will be 6.25 km.

6 0
3 years ago
The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals wh
avanturin [10]

Answer:

Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies

Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.

Step-by-step explanation:

1 dollar = 100 pennies

Given:

Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

∴ Cost of 1 pound of strawberries at Grocery Mart = \frac{2.99}{2}=\$1.495=1.495\times 100\approx 150\textrm{ pennies}

∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

Cost of 1 pound of strawberries at Baldwin Hills Market = \frac{3.99}{3}=\$1.33= 1.33\times 100 = 133\textrm{ pennies}

Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.

7 0
3 years ago
I don’t know if it’s A or B
lara31 [8.8K]

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

7 0
2 years ago
Read 2 more answers
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