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3 years ago

Please select the best answer from the choices provided T F

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Answer:

Yes, the answer is true.

Step-by-step explanation:

We can solve the inequality by putting x=3 and y=8 in the given inequality. This is because ordered paired inequalities are denoted by (x,y). The given inequality possess the symbols for an absolute value of a number. On a number line the absolute value is the distance between the number and zero.

So, now solving the inequality, we have:

y<|x+2|+7

8<|3+2|+7

8<|5|+7

8<5+7

8<12

Hence, the statement is true - the ordered pair (3,8) is a solution to y<|x+2|+7

AnnZ [28]3 years ago

4 0

Answer:

Step-by-step explanation:

When it comes to ordered pairs in inequalities, they are represented with the (x,y) values. So the ordered pair (3,8) can be substituted in the inequality $y$ .

In this inequality we have the symbols for an absolute value of a number. The absolute value of any integer will always be a positive integer as it is just the number of spaces from the origin (0,0).

So we can simply substitute the values of x and y like so:

$y$ .

$8$ .

This leaves us with 8<12 for the inequality making the statement true.

You might be interested in

A college football coach has decided to recruit only the heaviest 15% of high school football players. He knows that high school

Alla [95]

Answer:

The coach should start recruiting players with weight 269.55 pounds or more.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 225 pounds

Standard Deviation, σ = 43 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.15

$P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15$

$= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15$

$=P( z \leq \displaystyle\frac{x - 225}{43})=0.85$

Calculation the value from standard normal z table, we have,

$P(z < 1.036) = 0.85$

$\displaystyle\frac{x - 225}{43} = 1.036\\\\x = 269.548 \approx 269.55$

Thus, the coach should start recruiting players with weight 269.55 pounds or more.

3 0

3 years ago

4. (07.06)

timofeeve [1]

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

= 2x² + 10x - 4x - 20

= 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.