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2 years ago

Which of the following could be the system of nonlinear inequalities graphed below?

Mathematics

1 answer:

Ivan2 years ago

4 0

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

$y=5$

The solution is the shaded area above the solid line

The equation of the first inequality is

$y\geq 5$

step 2

The equation of the dashed line is

$y=x^{2} -5x+6$

The solution is the shaded area above the dashed line

The equation of the second inequality is

$y>x^{2} -5x+6$

therefore

The system of inequalities could be

$y\geq 5$

$y>x^{2} -5x+6$

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Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

IRINA_888 [86]

For this case we have the following equation:
$7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6
$
Step 1 of the solution is to make the distributive property.
We have then:
$7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6
$
Step 1 is correct.
The step is to combine similar terms. Caleb wrote: $7.4x + 8.2x - 16.4 = -2.3x + 35.4
$
He wrongly combined the similar terms on the right side of the equation.
The correct solution is: $7.4x + 8.2x - 16.4 = -2.3x -7.8
$
Answer:
In step 2, the like terms were not combined on the right side of the equation.

6 0

2 years ago

Read 2 more answers

A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8

gayaneshka [121]

Let $x$ be the number of hours that the waitress works in the evening.

We know for our problem that she works $5 \frac{1}{8}$ in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span> $x=5 \frac{1}{8} -1.75$
<span>Since </span> $\frac{1}{8} =0.125$ , we can rewrite our expression:
$x=5.125-1.75$
$x=3.375$

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: $3 \frac{3}{8}$ hours.

3 0

2 years ago

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4). What is the range of the function on the graph?

slavikrds [6]

Answer:

Step-by-step explanation:

2<y<4

all real numbers >2 and < 4

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2 years ago

The Toga Trench is at an elevation of 35,702 feet below sea level .The south sandwich Trench is at an elevation of 23,737 ft . b

Aleks04 [339]

Answer:

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

Step-by-step explanation:

Given the following:

Tonga trench Elevation = 35,702 Feets

South sandwich trench elevation = 23,737 Feets

Expressing both numbers as rational numbers :

Both the Tonga trench Elevation and South sandwich trench elevation are already stated as rational numbers because all integers are rational numbers, be it expressed as a quotient or proportion of integer numbers ( that is numbers that are expressed without decimal components.

Therefore, rational expression for both are :

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

4 0

2 years ago

Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W

Snowcat [4.5K]

Answer:

0.7743

Step-by-step explanation:

Mean of age = u = 26 years

Standard Deviation = $\sigma$ = 4 years

We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.

Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

$z=\frac{x-u}{\sigma}$

20 converted to z score will be:

$z=\frac{20-26}{4}=-1.5$

30 converted to z score will be:

$z=\frac{30-26}{4}=1$

So, now we have to find the probability that the z value lies between -1.5 and 1.

P( 20 < x < 30) = P( -1.5 < z < 1)

P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)

From the z-table:

P(z < 1) = 0.8413

P(z < -1.5) =0.067

So,

P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743

Thus,

P( 20 < x < 30) = 0.7743

So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743

6 0

2 years ago