Which function is non linear y-4x=1 y=2+6x^4 x-2y=7

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer: 0.5

Step-by-step explanation: since 1/2 is half of anything like it could be 3/6 but equal 1/2 in slimplest form

For the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters is the right triangle.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that, A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters.

We have to verify whether it is a right-angle triangle or not.

A right-angle triangle must follow the Pythagoras theorem.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

If the longest side is the hypotenuse.

h²=p²+b²

LHS

68² = 1424

RHS

60²+25²

3600+625

4225

L.H.S=R.H.S

Thus, the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters in the right triangle.

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Answer:\( \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}\)

Step-by-step explanation:

\( \sf{ - 6x + 13 = - 5(7 + 6x) }\)

Distribute -5 through the parentheses

\(\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}\)

\(\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}\)

\( \text{Remember} : \sf{( + ) \times ( - ) = ( - )}\)

\(\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}\)

Move 30x to left hand side and change it's sign

\( \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}\)

Move 13 to R.H.S ( Right Hand Side ) and change it's sign\( \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}\)

Combine like terms

\( \longrightarrow{ \sf{24x = - 35 - 13}}\)

The negative integers are always added but posses the negative ( - ) sign.\( \longrightarrow{ \sf{24x = - 48 }}\)

Divide both sides by 24

\( \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} \)

Dividing a negative integer by a positive integers gives a negative integer.

\(\longrightarrow{\sf{x = -2 }}\)

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

L.H.S = -6x + 13

Plug the value of x and simplify

\( \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}\)

Multiplying negative integers by a negative integer gives a positive integer.

\( \longrightarrow{ \sf{ 12 + 13}}\)

Add the numbers : 12 and 13

\( \longrightarrow{ \sf{25}}\)

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

\( \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})\)

Multiplying a positive integer by any negative integer gives a negative integer.

\( \longrightarrow{ \sf - 5(7 + ( - 12)}\)

\(\longrightarrow{\sf{-5(7 - 12)}}\)

Subtract 12 from 7

\( \longrightarrow{ \sf{ - 5 \times ( - 5)}}\)

\(\longrightarrow{\sf{25}}\)

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Part A: The measures of center in Mountain View School, mean = 4.75, median = 4.5 and Bay Side School, mean = 5.5, median = 4.5

Part B: The measures of variability: Mountain View School, Range= 9 IQR= 4,  Bay Side School, Range= 10 IQR= 3

Part C: Bay Side School would be the better choice.

Part A: Measures of Center

To calculate the measures of center, we will determine the mean and median for each school.

Mountain View School:

Mean = (0 + 5 + 6 + 8 + 9 + 8 + 2 + 0) / 8 = 38 / 8 = 4.75

Median = (4 + 5) / 2 = 4.5

Bay Side School:

Mean = (10 + 2 + 4 + 5 + 6 + 8 + 8 + 7 + 6 + 5 + 5 + 4 + 4 + 3 + 1 + 0) / 16 = 88 / 16 = 5.5

Median = (4 + 5) / 2 = 4.5

Part B: Measures of Variability

To calculate the measures of variability, we will determine the range and interquartile range (IQR) for each school.

Mountain View School:

Range = 9 - 0 = 9

IQR = (6 - 2) = 4

Bay Side School:

Range = 10 - 0 = 10

IQR = (6 - 3) = 3

Part C: Choice based on Class Size

If you are interested in a larger class size, Bay Side School would be the better choice. The mean class size at Bay Side School is 5.5, while at Mountain View School it is 4.75. The range of class sizes at Bay Side School is also larger (10) compared to Mountain View School (9). This indicates that there is a greater variation in class sizes at Bay Side School, providing a higher likelihood of finding larger class sizes. However, it's important to consider other factors such as teaching quality, resources, and overall educational environment before making a final decision.

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h=3 cause 3x30=90 ig loo

Answer:

wadsa

Step-by-step explanation:

Answer:

Here is the answer i got-

Step-by-step explanation:

325823-250823=75000

325823’s 244367250percent is 75000

Answer:

42

Step-by-step explanation:

Shanice =88

If greg won x pieces of gum, and 88 was 4 more than twice as many as Greg

2x+4=88

2x=84

x=42

The correct ratio to represent the ratio of cars to airplanes is 3:2

The correct ratio to represent the ratio of cars to airplanes in Alex's collection is 12:8.

To determine the ratio, we compare the number of cars to the number of airplanes. Since there are 12 model cars and 8 model airplanes, we express this ratio as 12:8.

The ratio of 12:8 can be simplified by dividing both numbers by their greatest common divisor, which is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2.

Therefore, the simplified ratio of cars to airplanes is 3:2.

Hence, the correct ratio to represent the ratio of cars to airplanes is 3:2.

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For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

1,560

Step-by-step explanation:

Answer:

We fail to reject the null

Step-by-step explanation:

Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248

Mean price, μ = 1249

Standard deviation, σ = 25

Variance, σ² =

Null hypothesis, H0 : σ² = 25²

Alternative hypothesis, H1 : σ² > 25

Using calculator, the sample standard deviation :

Sample standard deviation = s = 34.072

Sample size, n = 8

For chi² distribution :

X² = [(n - 1)s²] ÷ σ²

X² = [(8 - 1)*34.072^2] ÷ 25^2

X² = (7 * 1160.901184) / 625

X² = 13.002093

Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05

Pvalue =0.07206

0.07206 > 0.05

Since , Pvalue > α

We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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Answer:

£16:£144

Step-by-step explanation:

1+9=10

160/10=16

1×16=16

9×16=£144

Answer:

16£ and 114£

Step-by-step explanation:

add the ratios

1 + 9 = 10

for the first ratio

(1/10) × 160

= 16£

for the second ratio

(9/10) × 160

= 114£

#1

\(\\ \tt\hookrightarrow -4+5=1\)

#2

\(\\ \tt\hookrightarrow a-b=x-x+1=+1\)

#3

\(\\ \tt\hookrightarrow 42-66-(100-24)\)

\(\\ \tt\hookrightarrow -24-76\)

\(\\ \tt\hookrightarrow -100\)

Step by Step Solution for Part-1:

We know that:

Solution:

Step by Step Solution for Part-2:

We know that:

Solution:

Step by Step Solution for Part-3:

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Answer:

62 in

Step-by-step explanation:

the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.

Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

Answer:

72x^7+24x^3  (finding the derivative using the chain and power rules)

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

By using the rules:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

We have proven the identity. Below you can follow the demonstration.

Here you need to remember two things:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

Here we have the expression:

\(\frac{1 - cos(-x)}{sec(-x) - 1}\)

By using the first rule, we can rewrite:

\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)

By using the second rule, we can rewrite:

\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)

Now if we multiply and divide by cos(x), we get:

\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)

In this way, the identity was proven.

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Answer:

The answer is "\((p-1) (pq-r^2)\)"

Step-by-step explanation:

Given:

\(\to P ^2q-pr^2-pq+r^2\\\\\)

Rearrange the above value:  

\(\to P ^2q-pr^2-pq+r^2 = p^2q-pq-pr^2+r^2\\\\\)

                                    \(= pq(p-1)-r^2(p-1)\\\\= (p-1)(pq-r^2)\\\\\)

Answer:

I don't understand what the question is

2×(4×3)?24

4×3=12

12×2=24

(2×4)×3=24

The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

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Answer:

Step-by-step explanation:

i don't know sorry

An indicator of how the cost of products and services has changed over a given period of time is a price index number.

A pricing index is a normalized average of price comparisons for a particular class of products or services in a particular region over a specific time period. It is a statistic created to assist in comparing how these price relatives as a whole vary over time or between different regions.

Policymakers and the financial markets carefully monitor the CPI Index as an indicator of inflation. The cost of living adjustments for federal benefit payments are computed using a linked CPI metric.

A comparison of the values for any two periods or locations will reveal the average change in prices between those two periods or locations, respectively, using the price index, a measure of relative price changes, which is composed of a sequence of numbers.

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Answer:

36

Step-by-step explanation:

40*.9