Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.

In the given rectangle, the values of f and g are the same that is 2√6cm.

So, the values of f and g are:

Now, calculate the sides as follows:

Formula: A = s²

So, each side of APQD measures  2√6cm.

Then,

Therefore, in the given rectangle, the values of f and g are the same that is 2√6cm.

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Answer:

1. y=2x+3

2. y=5x+3

Step-by-step explanation:

1. to find equation of the line we need the gradient and y-intercept

gradient=2

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

9 = 2(3)+c

9 = 6+c

9-6 = c

c = 3

to write the equation we only input gradient and y-intercept:

y=2x+3

2. to find the equation of the line we need the gradient and y-intercept

gradient=5

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

8 = 5(1)+c

8 = 5+c

8-5 = c

c = 3

to write equation we only input gradient and y intercept:

y=5x+3

Answer:

400 minutes

Step-by-step explanation:

25 % *4 =100 %

100*4=400 minutes

Answer:

Step-by-step explanation:

my answer is attached in the photo below

Answer:

120

Step-by-step explanation:

Answer:

  f^-1(x) = √((y +9)/3)

Step-by-step explanation:

You want the inverse function of y = 3x² -9.

The given relation will only have an inverse function if its domain is restricted to values x ≥ 0.

We can find that inverse function by interchanging the variables x and y, then solving for y:

  x = 3y² -9

  x +9 = 3y² . . . . . . . add 9

  (x +9)/3 = y² . . . . . . divide by 3

  y = √((x+9)/3) . . . . . take the square root

The inverse function is f^-1(x) = √((x +9)/3).

Answer:

x=-10

Step-by-step explanation:

2(x+3) = 2x+6

2x+6=x-4

2x+6-6=x-4-6

2x=x-10

2x-x=x-10-x

x=-10

The number of general public and students are 175 and 215 respectively.

Based on the information given:

Let p = general public

Let s = students/staff

390 people attended the concert. This will be:

p + s = 390 .... i

Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. This will be:

8p + 5.5s = 2582.5 .... ii

From equation i

p = 390 - s

8p + 5.5s = 2582.5 .... ii

8(390 - s) + 5.5s = 2582.5

3120 - 8s + 5.5s = 2582.5

Collect like terms

- 8s + 5.5s = 2582.5 - 3120

-2.5s = - 537.5

Divide

s = 537.5 / 2.5

s = 215

Students = 215

Note that p + s = 390

p + 215 = 390

P = 390 - 215

P = 175

Public = 175

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Answer: A 22-ounce package costs $7.26 is best to buy

Step-by-step explanation:

A 9-ounce package costs $3.15 = 35 cents an ounce

A 12-ounce package costs $4.44 = 37 cents an ounce

A 22-ounce package costs $7.26 = 33 cents an ounce making it the cheapest by ounce

Answer:16 minutes

Step-by-step explanation:

64 errors / 8 errors = 8

8 x 2 minutes = 16 minutes

The cycle in order is D, E, F, B, C then A.

Define life cycle.

An organism goes through a series of shape changes in a biological life cycle before reverting to its original state. The notion contrasts with those of life history, development, and ontogeny in that it emphasizes renewal. Life cycles are common to all animals and plants.

The stages, which frequently entail beginning as a seed, egg, or live birth, then growing up and reproducing, are best shown visually using diagrams. Life cycles keep repeating themselves.

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The length of the table is 1.51 meters.

Allan is measuring his dining room table to make a tablecloth. The table is 0.45 meter longer than it is wide. The width of the table is 1.06 meter. We need to find out the length of the table.

Let the length of the table be represented by the variable "L". In the context of a mathematical problem or experiment, a variable is a quantity that may vary. The length of the table is the sum of the width of the table and the difference between the two quantities.

L = 1.06 + 0.45

L = 1.51

Hence, the length of the table is 1.51 meters.

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The expression x³ + 3x² - 10x + 24 cannot be factorized

From the question, the polynomial is given as

x3+3x2−10x+24

Rewrite the polynomial properly

So, we have the following representation

x³ + 3x² - 10x + 24

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -5.569

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

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The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67

Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.

Example: If a varies inversely as b

This can be represented as;

a ∝ 1/b

Then,

ab = k

Where k is the proportionality constant

From the information given, we have that;

x ∝ 1/ y

Then,

xy = k

Substitute the values

476 (17) = k

k = 8092

If x = 1428 and k = 8092

Let's determine the value of y

y = k/x

y = 8092/1428

y = 5. 67 liters

Hence, the value is 5. 67 liters

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The expression that represents the change in April's score from the start to the end of the game is 355 - 150 = 205.

April played a game. The score at the beginning of the game was 150 points. After twenty minutes, her score was 355 points. We have to determine the change in her score from the beginning of the game to the end of the game.

Let the change in the score be represented by the variable "C". The change in her score is calculated below. The change in the score is the difference between the final and the initial score of April.

C = 355 - 150

C = 205

Hence, the change in her score from the beginning of the game to the end of the game is 205 points.

The complete question is given below.

At the beginning of the game, April had a score of 150 points. April played for another 20 minutes, and her final score was 355. Write and then evaluate a subtraction expression to determine the change of her score from the beginning of the game to the end of the game.

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The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15).

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given equation,

y = (-3/2)x + 15

At y-intercept,

x = 0 so, y = 0 + 15 = 15 thus, (0,15)

At x-intercept

y = 0

0 = (-3/2)x + 15

x = 10 thus, (10,0)

Hence "The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15)".

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For the complete question and graph image attached below,

Answer:b=2/3 if u don't need an answer that is not a fraction or decimal u can write 17. as a whole number.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Put the variable as numbers in the computation. m=6 and n=6

SO:

6+6*6

2. Compute using Pemdas( Parentheses, exponets,multiplication, division, addition, subtraction)! Or order of operations!

6+36= 42

Answer: 42

Answer:

slope of the line = 1

Step-by-step explanation:

i hope i helped

Answer:

  (B)  A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).

The independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.

The description from the available answer choices is ...

A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

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⇒The volume is given and the height is give. In the equation [tex]V=\pi r^{2} h[/tex]plug in the known value V which is equal to [tex](160\pi )m^{3}[/tex] and h which is equal to 8m and solve for r which is the radius

⇒[tex]160\pi =\pi r^{2} *(8)\\\frac{160\pi}{\pi } =\frac{\pi r^{2} *(8)}{\pi } \\160=8r^{2} \\8r^{2} -160=0\\8(r^{2} -20)=0\\\frac{8(r^{2} -20)}{8} =\frac{0}{8} \\r^{2} -20=0\\(r+\sqrt{20} )(r-\sqrt{20} )=0\\r+\sqrt{20} =0\\or\\r-\sqrt{20} =0\\\\r=2\sqrt{5} \\or\\r= -2\sqrt{5}[/tex]

⇒Note radius is a distance therefore it cannot be negative meaning radius r is equal to [tex]\sqrt{20} =2\sqrt{5}[/tex]m

expressed in decimal is 4.5m

The function's y = 3(x + 5)² +11 width will be narrower.

In mathematics, a function from a set x to a set y assigns each element of x precisely one element of y. The subsets x and y are referenced to as the function's domain and codomain, correspondingly. A relationship between a number of inputs and one output per input is referred to as a function. Simply described, a function is an association between inputs in which each piece of data is connected to exactly one output. There is a domain and a codomain, or range, for every function. A function is a type of rule that produces one output from one input. y = x² is a good illustration of this. Any information for x yields a single output for y.

A parabola is made narrow by a large positive value of a and wide by a large positive value of a that is close to 0.

Compare the given equation y = 3(x + 5)² + 11 with y = x² + c

So, a = 3

Therefore, the function will be narrower.

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This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.

As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.

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Answer:

The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.

Step-by-step explanation:

Let's use the slope-intercept form of a linear equation:  y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).  We are given the slope, (1/2), so let's put that into the equation:

   y = (1/2)x + b

It is the value we choose for b that will make the line pass through point (6,-3).  We can determine that value by entering the given point in the equation and then solving for b:

y = (1/2)x + b

-3 = (1/2)*(6) + b for point (6,-3)

-3 = 3 + b

b = -6

The full equation is thus y = (1/2)x + 6

See the attached graph.

===

The `list of options doesn't have an equation that matches this conclusion.  The first two aren't even equations.  Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:

Original   New

y-2x+6     y=2x+6

y-1x-6       y=1x-6

y=2x-3     y=2x-3

y=x+3      y=x+3

The slopes are either +1 or +2.  None have the required slope of (1/2)

Answer:

Step-by-step explanation:

Let's find the equation in the form of y=mx+b that fits the data.  m is the slope and b is the y-intercept (the value of y when x=0).  Slope, m, the the Rise/Run of the line.  It can be found by taking any two points from the table.  Let's choose (0,15) and (2,35), although any two will work.

x    y

0   15

1    25

2   35

3   45

4   55

(0,15)   (2,35)

The Rise is the change in y:  (35 - 15) = 20.

The Run is the change in x for the same points:  (2 - 0) = 2

The slope is the Rise/Run = (20/2) or 10.

The equation has the form y = 10x + b.

Let's find b.  Just enter any of the points in the above equation and solve for b.  I'll choose (3,45).

  y = 10x + b

  45 = 10*(3) + b

b = 45 - 30

b = 15

[Note:  since b is the value of y when x equals zero, we really didn't need to calculate b as we just did.  There is a data point already that tells us the value of y when x = 0:  (0,15)]

The p-value for a Z of 1.34 for a two-tailed test is 0.18025. Since the worth of p is greater than 0.05, we has fail to reject the null hypothesis.

What is hypothesis testing?

In hypothesis testing, we'll find to know whether we should reject or fail to reject some hypothesis.

To hold the decision, we should always compare the p-value in the test statistic to the significance level we have chosen to use the test. If the p-value is a smaller amount than the significance level, we'll reject the null hypothesis. Otherwise, we'll fail to reject the null hypothesis.

This calculations will tells you whether you ought to reject or fail to reject a null hypothesis based on the value of the test , the format of the test are going to be (one-tailed or two-tailed), and therefore the significance level you have chosen to use.

One-tailed or two-tailed ?

Value of the test statistic

1.34

Decision Rule say that : fail to reject the null hypothesis

The p-value for a Z of 1.34 for a two-tailed test is 0.18025. Since the worth of p is greater than 0.05, we has fail to reject the null hypothesis.

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Answer:

P=(2.25 x 10^4)(1 + 0.051)(1 +0.051)

Step-by-step explanation:

Answer:

because there’s additional numbers to the equation

Step-by-step explanation:

it differs because of the -3 it’s -3 down