For the following exercises, solve each system by elimination. 4x + 6y +9z = 0 -5x + 2y-6z = 3 7x-4y + 3z = -3

Answer:

-2

Step-by-step explanation:

when x= 0

f(0)= 3*(0)² + 2*0 - 2

= 0 + 0-2

= -2

Answer:

270,000,000

Step-by-step explanation:

2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation

To put it in standard notation

Multiply 2.7 by 10⁸, which is 100,000,000

Answer:

a.) f(2) = 3

b.) if f(x) = 2

x=3

Step-by-step explanation:

Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3

And if the output is 2, the input is 3 as proven above.

Considering the perimeter of the trapezoid, the set-builder representation of the possible values for the length of the sides labeled m is:

{m | m > 6}.

The perimeter of a polygon is calculated by the sum of the lengths of all the outer edges of the figure.

In the context of this problem, these measures of the outer edges are given as follows:

Hence the perimeter of the trapezoid is given as follows:

P = 6 + 10 + m + m = 16 + 2m.

The perimeter is greater than 28, hence the inequality is:

P > 28.

16 + 2m > 28. (replacing the equation for P into the inequality).

2m > 12

m > 12/2

m > 6.

The set-builder notation of this interval is:

{m | m > 6}.

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Step-by-step explanation:

1. volume = πr²h

= π×(5²)×9

= π×225

= 225π

= 707.1 cubic inches

2. volume = lwh

= 5.2 × 1.8 × 2

= 18.72 square feets

According to the question Joe's hypothesis can be stated as follows H0: μ ≤ 568 (Null hypothesis) , H1: μ > 568 (Alternative hypothesis)

Joe's hypothesis can be stated as follows H0: The population mean (μ) of the elite school students is less than or equal to 568. H1: The population mean (μ) of the elite school students is greater than 568.To test this hypothesis, Joe would typically collect a sample from the elite school students and calculate the sample mean.

He can then compare this sample mean to the hypothesized population mean of 568. If the sample mean is significantly higher than 568, Joe would have evidence to support his hypothesis that the elite school students score higher than the general population.

To make a conclusive decision, Joe would perform a statistical test, such as a t-test or z-test, and calculate the p-value associated with the observed sample mean. If the p-value is below a predetermined significance level (e.g., 0.05), Joe can reject the null hypothesis and conclude that the elite school students score higher than the general population.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

x=31

Step-by-step explanation:

When x=45    y=60

And when y=36

For that let's take the amount as Z(to find how much was decreased)

60-z=36

60   =36+z

60-36=z

      14=z

45-14

31

Therefore when y=36 x=31

Hope you got it

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Answer:

The volume for the sphere is 904.78

Answer:

$2.33

Step-by-step explanation:

To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!

Answer:  

4 is equal to x=1 + 30 will be 31

Step-by-step explanation:

2= 2x1 that is equal to 2 + 15= 17

in conclusion 2=17   and 4=31

The three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means both the A main effect and the B main effect.

What is meant by f-test?

In math, f-test refers to carry out the test for the equality of the two population variances.

Here we need to find in which of the three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means.

As per the definition of f-test, here we know that a two-way ANOVA do you collapse across the levels of the other factor has only two options that is main effect and interaction effect.

As we know that ANOVA separates the within group variance from the between group variance and the F-test is the ratio of the mean squared error between these two groups.

Therefore, in this one, both A and be has the main effect on each other.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Step-by-step explanation:

=25% of 80

=25/100×80

=20 is left

Answer:

y approches positive infinity

Answer:

The function is f(x)=2x

Step-by-step explanation:

Since every single y is 2 times x, it will be 2x. This function just doubles whatever x you put in.

Answer:

Step-by-step explanation:

Those are coordinate points on a line but they are written in table form.

For the first point,  when x=1, y=2  (that's given from the table) but it's a point on the line (1, 2)

The next point (2,4),

(3,6) and so forth.

The format for a line is

y=mx+b (slope-intercept form)

or

\(y-y_{1} = m(x-x_{2})\)   (point-slope form)

They did not give you the y-intercept (that's when x=0) in the chart.  You may have been able to figure it out by looking at the pattern but if not we will use the second formula, point slope form, because we know a point from the chart and we can find slope

\(slope=m=\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)    

pick any 2 points from the chart to find slope.  I will pick (1,2) and (2,4)

\(m=\frac{4-2}{2-1 } =\frac{2}{1} =2\)

Now that i know slope m=2  and i will pick (1,2) to plug into formula

\(y-y_{1} = m(x-x_{2})\)

y-2=2(x-1)       distribute 2

y-2=2x-2          add 2 to both sides

y=2x

The function is increasing at a rate of 2 and the y-intercept is 0.

The mortgage loan amount on a home that sells is 207000$.

A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.

The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.

M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.

M = $230,000 -  $23,000

and  =   207000$

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The table shows the number of games a team won and lost last season with a ratio of win to loss as 3:2. Therefore the tool most appropriate for use is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

What is ratio?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

To calculate a win-to-loss ratio, divide the number of wins by the number of losses.

According to the given data:

Greg is creating a simulation, using previous year’s wins and losses, to foretell the team's conclusion.

Wins in the last season = 24

losses in the last season = 16

Ratio of wins and losses = 24:16 = 3:2

Chances of the team winning out of 5 matches is 3 and losing is 2.

The device which is most suitable for application in a simulation that implements the data is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

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Answer:

See proof below

Step-by-step explanation:

Triangle congruence

To prove triangles are congruent, we can go all the way back to the definition (never do this unless you have to), or we can use one of the triangle congruence theorems:

Prove triangle congruence by definition - prove all 3 corresponding angle pairs, and all 3 corresponding sides are congruent

Prove by Congruence theorem -

In this situation, the triangles aren't right triangles, so HL won't work.

We already have one angle congruent as a given, so we need two more parts:  either another angle and any side, or else both sides adjacent to the angle.

Since the two triangles share a side, if we can get another angle (which it looks like you may have already identified, based on pencil markings on the diagram), we can prove triangle congruence.

General Outline

Accept givens

Prove \(\angle YTX \cong \angle TYS\)

Prove/state shared side is congruent

Use AAS congruence

Proof

Accept \(\angle TXY \cong \angle TSY\) as given.

Given \(\overline {TX} || \overline{SY}\), observe that line TS contains point T, and line SY contains point Y, so line TY is a transversal to the pair of parallel lines TS and SY.

Since \(\angle YTX\) and \(\angle TYS\) are the alternate interior angles formed by a transversal across two parallel lines, \(\angle YTX \cong \angle TYS\) by the Alternate Interior Angles Theorem.

By the reflexive property of congruent line segments, \(TY \cong YT\).

Finally, given the pairs of corresponding parts already proven congruent, (two angles, and a side not contained by them), by AAS Triangle congruence, \(\triangle TSY \cong \triangle YXT\).

Answer:

6

Step-by-step explanation:

Trust

According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.

In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.

The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.

By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.

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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.

In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.

Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.

Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.

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17.7 gallons of gas would she require to travel 413 miles at this rate when Jenny used 9 gallons of gas to travel 210 miles.

Given that,

Jenny used 9 gallons of gas to travel 210 miles.

We have to find how many gallons of gas would she require to travel 413 miles at this rate.

We know that,

Jenny used 9 gallons of gas to travel 210 miles.

Then

Rate = 210 miles/9 gallons

= 23.3 miles/gallon.

So,

Nicole can achieve a fuel efficiency of 23.3 miles per gallon.

He has a 413-mile drive ahead of him.

So,

413/23.3 = 17.7 gallons needed.

Therefore, 17.7 gallons of gas would she require to travel 413 miles at this rate when Jenny used 9 gallons of gas to travel 210 miles.

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Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

Answer:

Step-by-step explanation: I got 14.4 but I might be wrong and im sorry if I am

Answer:

p=2

Step-by-step explanation:

10 – (8p + 3) = 9(2p - 5)

(rearrange and distribute) -8+7=18−45

(Subtract and combine) −26=−52

(Divide and find p) p=2

Answer:

2

Step-by-step explanation:

10-(8p+3)=9(2p-5)

10-8p-3=18p-45

26p=52

p=2

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

x-intercepts: x=3, -5

Step-by-step explanation:

y = x^2 + 2x − 15

y = x^2 + 5x - 3x − 15  ==> 5*(-3)=-15 and 5+(-3) = 5-3=2

y = x^2 + 5x - 3x − 15

y = x(x+5) - 3(x+5)

y = (x-3)(x+5)

x-3=0  ==> x=3

x+5=0 ==> x=-5

x-intercepts: x=3, -5

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