Solve the following system of equations by graphing. If this system is inconsis
identify the type of constraint.
y = 4x + 4
-12x + 3y = 3

patternpatternGreat!

The patteren is 1, 4, 9, 16,...

All these numbers are square numbers, which means

1 * 1 = 1

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

That means

1st term = 1^2

2nd term = 2^2

3rd term = 3^2

4th term = 4^2

so

nth term = n^2

The conjecture is

The pattern is 100%, 93%, 86%, ...........

Since 93% - 100% = -7%

Since 86% - 93% = -7%

Then this pattern is decreases by 7%

So it is an arithmetic sequence

Its rule is:

Where a is the first term

d is the constant difference

n is the position of the number

Since a = 100%

Since d = -7%

Let us substitute these values in the rule

Simplify it

an = 100% + (n)(-7%) + (-1)(-7%)

an = 100% + (-7n%) + (7%)

Add the like terms

an = (100% + 7%) - 7n%

an = 107% - 7n%

Let us check the rule

What is the 3rd term

n = 3

a3 = 107% - 7(3)%

a3 = 107% - 21%

a3 = 86% which is true

I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,

Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

What is measure of variability?

Measures of variability provide descriptive information about the dispersion of scores within data.

Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.

Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

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Answer: B

Step-by-step explanation:

The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.

Answer:

(4x + 3)(2x + 5)

4x(2x + 5) +3(2x + 5)

8x^2 +20x +6x + 15

8x^2 +26x + 15

so, g(h(x))=8x^2 +26x +15

again

(4x + 3)(2x +5).0

0

so, g(h(0))=0

Answer:

x= −20

Step-by-step explanation:

The solution is x = 38

The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Same side exterior angles are supplementary

Given data ,

Let the first angle be represented as A

Now , the value of A is = ( 2x - 15 )°

Let the second angle be represented as B

Now , the value of B is = ( 3x + 5 )°

The angles A and B are on the same side of the exterior angles

And , lines a and b are parallel

So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary

Substituting the values in the equation , we get

( 2x - 15 )° + ( 3x + 5 )° = 180°

On simplifying the equation , we get

2x - 15 + 3x + 5 = 180

5x - 10 = 180

Adding 10 on both sides of the equation , we get

5x = 190

Divide by 5 on both sides of the equation , we get

x = 190/5

x = 38

Therefore , the value of x is 38

Hence , the value of x from the equation is 38

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Answer:

3x+6-14

Step-by-step explanation:

The given information of the factors f ( x ) helped to get the following correct options:

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

Substituting the functions we have:

f (-1 ) = ( 1 - 1 ) = 0

f ( 4 ) = ( 4 - 4 ) = 0

f ( 3/2 ) = (3 * 2/3 - 3 ) = 0

Other options fail to give the desired result of zero.

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A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.

How do you calculate hypothesis example?

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Answer:

12

Step-by-step explanation:

The values of x and y after solving the given system of equations are respectively.

According to the question,

We have the following two equations:

y = 2x+3 ....(1)

y = 4x-1 .....(2)

Now, we can put the value of y from equation 1 in equation 2:

2x+3 = 4x-1

Now, we can change sides as it will not affect the result.

4x-1 = 2x+3

Moving 2x from the right hand side to the left hand side will result in the change of sign from plus to minus:

4x-2x-1 = 3

2x-1 = 3

2x = 3+1

2x = 4

x = 4/2

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

y = 2x+3

y = 2*2+3

y = 4+3

y = 7

Hence, the value of x is 2 and the value of y is 7 after solving the equations.

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Answer: 218.65 US$

Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64

Answer:

$218.65

Step-by-step explanation:

She starts with a balance of $187.56. When she deposits money she is adding to the account.

$187.56 + $49.73 = $237.29

When she spends money money is being subtracted from her account.

$237.29 - $18.64 = $218.65

Answer: b (-1,1)

Step-by-step explanation:

The slope intercept form of equation of the line is  y = 4x - 2

The slope intercept form of equation of the line that includes the point (3,10) has a slope of 4. is  y = 4x - 2

This is an equation of the form y = mx + c, where:

the coefficient of x is the slope

c is the intercept

To calculate the equation of the line that include point  (3,10) has a slope of 4 we solve as follows

( y - y' ) / ( x - x' ) = 4

( y - y' )  = ( x - x' ) = 4

where y' = 10, and x' = 3

y - 10 = (x - 3 ) * 4

y - 10 = 4x - 12

y = 4x - 12 + 10

y = 4x - 2

The slope intercept form of equation of the line is  y = 4x - 2

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Answer:

Slope = -2

Step-by-step explanation:

(9, 3), (19, -17)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁         -17 - 3        -20

m = ------------ = ------------ = -------- = -2

        x₂ - x₁         19 - 9         10

y - y₁ = m(x - x₁)

y - 3 = -2(x - 9)

y - 3 = -2x + 18

  +3            +3

-----------------------

y = -2x + 21

I hope this helps!

Answer: the answer is 31.25%

Step-by-step explanation:

Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%

The percent of his goal he has finished is 31.25%.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

We need to calculate percentage here.

We have been given total distance and we have also been given the distance covered.

We have to find the percentage of his goal covered.

For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.

To find the percentage, we have to divide these both and multiply by 100.

Percentage of goal covered = Goal covered/total goal *100

= 5/16 * 100

= 31.25%

The percent of his goal is 31.25%.

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The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]

                                         CI₈ = [1.0906, 2.2849]

n = 16, Standard Deviation = 1.4764, Var = 2.1796

X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49

CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]

CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]

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Using the normal approximation to the binomial, it is found that there is a 35.57% probability that the number of individuals in Lance's sample is.

In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:

z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]

Normal Probability Distribution measures how many standard deviations the measure is from the mean.  

In this problem:

The proportion of young adults ages 20–39 who regularly skip eating breakfast is given as 0.238, hence p = 0.238

A sample of 500 hence n = 500

The mean and the standard deviation are given by:

[tex]\mu[/tex] = 500 ( 0.238) = 119

[tex]\sigma[/tex] = 9.5225

The probability that the number of individuals in Lance's sample who regularly skip breakfast will be greater than 122, using continuity correction, then the p-value of Z when X = 122.5.

z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]

z = 122.5 - 119/ 9.5225

z = 0.37

Then p-value of 0.6443.

1 - 0.6443 = 0.3557.

0.3557 = 35.57%is the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.

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Answer:

A) there are no outliers in this distribution.

Answer:

Step-by-step explanation:

Answer there are no outlier

The proper test statistic has a value of 13.21.

As a result, repeated measurements of cholesterol levels from the same blood sample are taken to assess a lab technician's consistency.

The desired accuracy is a measurement variance of 2.78 or less. In the event that the lab technician conducts 16 measurements, and the sample's measurement variance is 2.45.

1) n=16 samples were used.

The desired accuracy is a measurement variance of 2.78 or less.

The sample's measurements' variance is 2.45 or less.

We list both the null and alternative hypotheses in response to the query.

Null hypothesis [tex]H_{0}[/tex] = [tex]var^{2} \geq[/tex]  2.78

Alternative hypothesis [tex]H_{a}[/tex] = [tex]var^{2} <[/tex]  2.78

We claim the alternative hypothesis.

2)Calculate the appropriate test statistic's value.

Using Chi-square,

X= ((n-1)(2.45)/(2.78)

X= 15(2.45)/(2.78)

X=36.75/2.78

X= 13.21

Therefore, The value of the appropriate test statistic is 13.21

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Answer: x=75°

Step-by-step explanation:

x+44+61=180 ==> three angles in a triangle add up to 180 degrees

x+105=180

x+105-105=180-105

x=75°

Answer:

Domain: [0,∞)

Range: (-∞,4]

Step-by-step explanation:

The domain is the numbers along the x-axis, and the range is the numbers along the y-axis. This graph includes a domain from zero to infinity and a range from negative infinity to four. The parentheses () mean that these numbers aren't included, and since infinity isn't an actual number, it gets a parenthesis. The brackets [ ] are used to include a number exactly. Since four and zero are real numbers and are included in this graph they get brackets. We also know that four and zero are included because the dot at point (0,4) is solid and not hollow, which means those numbers are to be included in the domain and the range. Also something to note: you always write the domain and range going from the smallest number to the largest number, this is why the range is written as (-∞, 4] and not [4, -∞).

When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.

This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.

How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.

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Answer:

A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.

Answer:

The answers are (-10, -4) and (0, 1)

Step-by-step explanation:

The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.

Hope this helps!

Answer:

(0,1) and (-10.-4)

Step-by-step explanation:

To find the solutions, find the points where both the curve and line intersect and read off the coordinates

Answer:7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

420÷60 is the same as 42÷6.

42 goes into 6, 7 times:

6, 12, 18, 24, 30, 36, 42.

Therefore, 420÷6 is 7.

Please use a calculator next time.