I’m not sure how to answer this

The ordered pair that is a solution of the system is (-3, -3), the second option.

There are two ways of finding this.

You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.

Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.

Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).

We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)

So that point is the solution.

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The following tests will be the most appropriate is X^2 test for proportions.

Given :

The director of a training program wanted to know if a one week orientation would change the perception of potential clients who would perceive the program as being good.

He collected information on the number of clients who would rate the program as being good before and after the orientation .

What is X^2 test ?

It tests whether two populations come from the same distribution by determining whether the two populations have the same proportions as each other.

This test is also called as Chi - square test .

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Answer:

-25x-45y, because if we have got + and -, so we will write minus.

Answer:    7

Step-by-step explanation:

234577788

        ^

the number in the middle is 7

The inverse of the divisor which can be used to complete the given equation would be 7/1.

The inverse of a divisor is defined as the changing of the numerator with the denominator when division is being carried out in fraction after which it can be multiplied to arrive at an answer.

The given fractions for division are as follows!

= 1/5 ÷ 1/7

= 1/5 × 7/1

= 7/5

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We have,

x+y:x-y=3:2

To prove that, x+ y : x - y = 3:2.

x+y=3  

And,

x+y = 2      

Adding (1) and (2), we get

x+y+x-y=3+2

⇒2x=5

⇒ x =

Put x =  in (1), we get

+y=3

⇒ y=3-=

x+y:x-y=

=3:2

So, x+y:x-y=3:2.

Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

Answer:

3/8

Step-by-step explanation:

1. Find common denominators, which is 7/8 and 4/8

2. 7/8 - 4/8 = 3/8

Answer:

7/4 or 1 3/4

Step-by-step explanation:

From the given probabilities, the odds are given as follows:

This problem asks for the odds of both events whose probabilities are given.

Hence, an odd can also be expressed as follows:

Odd = probability/(1 - probability)

Hence the odds are given as follows:

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

n^23

Step-by-step explanation:

n^3 · n^20 = n^23

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

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Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

The value of A and B is 5 , 10 ;The average temperature for first ten hours is  -7.466 degree F ; an expression for the rate that the temperature is changing with respect to h ; dt/dh = +B sin ((pi*h)/12)

A function is a mathematical statement used to correlate two variables.

The function given is

T(h) = - A - B * cos((pi*h)/12)

T is the temperature in degrees Fahrenheit and

h is the number of hours from midnight (0 <= h <= 24)

a. The initial temperature at midnight was - 15 degrees * F and

at Noon of New Year's Day it was 5 degrees * F

At midnight h = 0

T(h) = -15 degrees F

-15 = -A-B* cos 0

-15 = -A-B

A+B = 15------------------- (1)

At noon , h = 12 , T(h)= 5

- A - B*  cos(pi) = 5

-A - B (-1) = 5

B -A = 5 ----------------------- (2)

Solving equation 1 and 2

2B = 20

B = 10

A = 5

The value of A and B is 5 , 10

The average temperature for first ten hours is  -7.466 degree F

Find an expression for the rate that the temperature is changing with respect to h

dt/dh = +B sin ((pi*h)/12)

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Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

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Answer:

x=0

Step-by-step explanation:

\(16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0\)

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer:

5

Step-by-step explanation:

This is the Pythagorean theorem:
\(a^{2} +b^{2} =c^{2}\)
The hypotenuse is c so we need to make c the subject:
\(c = \sqrt{a^{2}+b^{2} }\)
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
\(c = \sqrt{3^{2} + 4^{2} }\)
\(c = \sqrt{9+16}\)
\(c = \sqrt{25}\)
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Answer:

To determine how long it takes for the ball to hit the ground, we need to find the value of t when the height, h, is equal to 0.

The given equation for the height of the ball, h, is:

h = -16t^2 + 64t + 5

Setting h to 0 and solving for t, we get:

0 = -16t^2 + 64t + 5

Using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -16, b = 64, and c = 5, we get:

t = (-64 ± sqrt(64^2 - 4(-16)(5))) / 2(-16)

t = (-64 ± sqrt(4096 + 320)) / (-32)

t = (-64 ± sqrt(4416)) / (-32)

Taking the positive root since the negative root is not applicable in this context, we get:

t = (-64 + 66.38) / (-32)

t = -2.38 / (-32)

t ≈ 0.0746 seconds

Therefore, it takes approximately 0.0746 seconds for the ball to hit the ground.

Answer: d about 2 seconds

Answer:

  (a) positive for x < -5

Step-by-step explanation:

The sign of a rational function can be determined from the signs of its factors. The sign of the function will change when either the sign of the numerator or the sign of the denominator changes. The sign will change on either side of the zero of a linear factor with odd multiplicity.

__

The factorization of the given rational function is ....

  \(f(x)=\dfrac{2}{x^2+3x-10}=\dfrac{2}{(x+5)(x-2)}\)

Denominator zeros are ...

  x +5 = 0   ⇒   x = -5

  x -2 = 0   ⇒   x = 2

The sign of the function will change at x=-5 and at x=2.

__

The denominator factors will have different signs in the interval -5 < x < 2. That is the only interval in which the function value is negative. (Eliminates choices B and D.)

The denominator factors will have the same sign for x < -5 (both negative) or x > 2 (both positive). The function value will be positive in those intervals. (Eliminates choice C.)

  f(x) is positive for all x < -5.

_____

Additional comment

If a zero has even multiplicity, the sign of the function on either side of it is the same. The product of an even number of negatives has the same sign as the product of an even number of positives — positive.

The function f(x) is negative for all x < 2": true, as the function is negative in the interval (-5, 2).

To determine the intervals where the function f(x) = 2 / (x² + 3x - 10) is positive or negative, we need to find the critical points and analyze the sign of the function in different intervals.

First, let's factor the denominator:

x² + 3x - 10 = (x + 5)(x - 2)

The critical points occur where the denominator is equal to zero:

x + 5 = 0

=> x = -5

x - 2 = 0

=> x = 2

Now, we have three intervals to consider: (-∞, -5), (-5, 2), and (2, ∞).

In the interval (-∞, -5):

Pick a test point, e.g., x = -6.

Calculate f(-6) = 2 / ((-6)² + 3*(-6) - 10)

f(6) = 2 / (36 - 18 - 10)

f(6) = -2 / 8

f(6) = -1/4.

Since the function is negative in this interval, the statement "f(x) is positive for all x < -5" is not true.

In the interval (-5, 2):

Pick a test point, e.g., x = 0.

Calculate f(0) = 2 / (0² + 3*0 - 10)

f(0) = 2 / (-10)

f(0) = -1/5.

Again, the function is negative in this interval, so the statement "f(x) is positive for all x < 2" is not true.

In the interval (2, ∞):

Pick a test point, e.g., x = 3.

Calculate f(3) = 2 / (3²+ 3*3 - 10)

f(3) = 2 / (9 + 9 - 10)

f(3) = 2 / 8

f(3) = 1/4.

In this interval, the function is positive, so the statement "f(x) is negative for all x > 2" is not true.

The correct answer is: f(x) is negative for all x < 2.

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Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

Lets look through all 4 options.

A)

They rise upward to the right.

This is true, they are both increasing.

B)

Line x-1 starts on the x axis.  We assume that the area shown is the domain.

However, x+2 starts on the y axis.

False

C)

The distance of the starting point of each line from the origin is 2.

True.

D)  Steepness refers to slope.  They both have a slope of 1.  For one x they rise one y.  True.

Options A, C, and D are true

Hope this helps,

Jeron

:- )

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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