Which of the following statements is not true about the graph of a system of equations with infinitely many solutions? (KY.8.EE.7)

a) The lines will have the same slope.

b) The lines have one positive y-intercept and one negative y-intercept.

c) The lines will have the same y-intercept.

d) The lines will share all of the same points.​

Answer:

f⁻¹(x) = -4 + √x

Step-by-step explanation:

Switch the positions of x and y then solve for x.

\(f(x)=(x+4)^2\\x=(y+4)^2\\\sqrt{x} =y+4\\\sqrt{x} -4=y\)

Answer:

- 4 < x < 2

Step-by-step explanation:

Given

- 1 < x + 3 < 5 ( subtract 3 from each interval )

- 1 - 3 < x + 3 - 3 < 5 - 3 , that is

- 4 < x < 2

Answer:

Expert-Verified Answer

= 166.59 cm³ (approx.)

Step-by-step explanation:

The volume of the hemisphere is derived by Archimedes. The volume of a hemisphere = (2/3)πr3 cubic units. Where π is a constant whose value is equal to 3.14 approximately.

Answer:

166.5 \(cm^{3}\)

Step-by-step explanation:

The volume of a sphere is 4/3 \(\pi r^{3}\).  A hemisphere is half of a circle.

V = 1/2(4/3)\(\pi\)\(4.3^{2}\)

v = 2/3 \(\pi\) (79.507)                                

v = 166.519071406

Helping in the name of Jesus.                    

Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

This can be solved using a linear equation.

Original Equation: x+40 = 3.50x

Subtract "X" from both Sides: 40 = 2.5X

Divide both sides by 2.5  X = 16.

Therefore, Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.

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Answer:

1 to 3 is the answer

Step-by-step explanation:

a)All the probabilities are also between 0 and 1, so yes, this is a valid probability distribution.

b) the probability that Backen and Hayes LLC will obtain 30 or more new clients is 0.75.

c) the probability that Backen and Hayes LLC will obtain fewer than 25 new clients is 0.05.

d)the expected value is 32.25, the variance is 91.91, and the standard deviation is approximately 9.58.

a. To check if this is a valid probability distribution, we need to ensure that the probabilities sum up to 1 and that all probabilities are between 0 and 1. Let's check:

0.05 + 0.20 + 0.25 + 0.15 + 0.15 + 0.10 + 0.10 = 1

All the probabilities are also between 0 and 1, so yes, this is a valid probability distribution.

b. To find the probability that Backen and Hayes LLC will obtain 30 or more new clients, we need to sum up the probabilities for all values greater than or equal to 30:

P(X ≥ 30) = P(X = 30) + P(X = 35) + P(X = 40) + P(X = 45) + P(X = 50)

= 0.25 + 0.15 + 0.15 + 0.10 + 0.10

= 0.75

So the probability that Backen and Hayes LLC will obtain 30 or more new clients is 0.75.

c. To find the probability that Backen and Hayes LLC will obtain fewer than 25 new clients, we need to sum up the probabilities for all values less than 25:

P(X < 25) = P(X = 20)

= 0.05

So the probability that Backen and Hayes LLC will obtain fewer than 25 new clients is 0.05.

d. To find the expected value, we need to multiply each possible value by its corresponding probability and sum up the results:

E(X) = (20)(0.05) + (25)(0.20) + (30)(0.25) + (35)(0.15) + (40)(0.15) + (45)(0.10) + (50)(0.10)

= 32.25

To find the variance, we need to calculate the squared deviation of each possible value from the expected value, multiply each squared deviation by its corresponding probability, and sum up the results:

Var(X) = (20 - 32.25)²(0.05) + (25 - 32.25)²(0.20) + (30 - 32.25)²(0.25) + (35 - 32.25)²(0.15) + (40 - 32.25)²(0.15) + (45 - 32.25)²(0.10) + (50 - 32.25)²(0.10)

= 91.91

To find the standard deviation, we need to take the square root of the variance:

SD(X) = √(91.91)

≈ 9.58

So the expected value is 32.25, the variance is 91.91, and the standard deviation is approximately 9.58.

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The length of diagonal GE is 89 units

What is a quadrilateral?

quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.

Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.

It is given that :

length of side EF = 39 units

and, DH = 44.5 units

It is known that :

Diagonals of a Rectangle

A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other.

The diagonals of a rectangle bisects each other into equal segments.

The diagonals of the rectangular room are:

DF and GE

Thus:

DF = GE

DH = 1/2(DF)

44.5 = 1/2(DF)

DF = 2(44.5)

DF = 89

Therefore :

DF = GE = 89

GE = 89 units

Thus,  The length of diagonal GE is 89 units.

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Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

The determinant of the given matrix is -43.

We are given that;

The matrix= 3 2 -2

1 2 4

-1 3 2

Now,

To evaluate the determinant of the matrix

[3  2 -2]

[1  2  4]

[-1 3  2]

you can use the rule of Sarrus. First, you need to copy the first two columns of the matrix and place them next to the third column:

[3  2 -2 | 3  2]

[1  2  4 | 1  2]

[-1 3  2 | -1 3]

Then, you can calculate the sum of the products of the three diagonals going from left to right:

(3 * 2 * 2) + (2 * 4 * -1) + (-2 * 1 * 3) = 12 -8 -6 = -2

and subtract from it the sum of the products of the three diagonals going from right to left:

(-1 * 2 * -1) + (3 * 4 * 3) + (2 * 1 * 2) = 1 +36 +4 =41

-2 -41 = -43.

Therefore, by the matrices the answer will be -43.

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Answer:

Step-by-step explanation:

(1):-2 x+7x= 48-8

<=>5 X= 40

<=>X = 8

(2),6X=  10+15+r

<=>X = (25+r):6

(3):2 x-4x= -16-2+8

<=>- 2x=-10

<=>x =5

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Step-by-step explanation:

$333 for 18 hours work.

so,

333/18 = $18.50 for a single hour.

how many hours to make $425.50 ?

well, as often as the amount of 1 hour work fits into 425.5 :

425.5 / 18.5 = 23 hours

she will have to work 23 hours to make $425.50.

The number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

Given that, one week, Charlotte earned $333.00 at her job when she worked for 18 hours.

We need to find how many hours would she have to work the next week to earn $425.50.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, money earned in one hour = 333/18 =$18.5

If she is paid the same hourly wage, to earn $425.50, she has worked for 425.50/18.5 hours

=23 hours

Therefore, the number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

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To sketch the graph of the function f(x) = 2cos^2(x) - 3x + 4 for the values of x between 0 and 2, we can follow these steps:

1. Determine key points: Find the critical points and important features of the function within the given range. This includes the x-intercepts, local maxima, and minima.

2. Plot the x-intercepts: To find the x-intercepts, set f(x) = 0 and solve for x. In this case, cos^2(x) = (0 + 3x - 4)/2. Find the values of x where this equation holds true.

3. Identify local maxima and minima: Use calculus or other methods to find the local maximum and minimum points of the function within the given range.

4. Sketch the graph: Once you have the key points, plot them on a graph and connect them smoothly. Pay attention to the shape and behavior of the function.

Since the process of sketching a graph is best done visually, I'm unable to provide an image here. However, by following the steps outlined above, you can plot the graph of f(x) within the range of x between 0 and 2. Remember to label the axes and indicate any important points you have found.

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The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.

Now, radius = 3/2 =1.5 feet

We know that, the formula to find the volume of a cylinder is πr²h.

Here, 3.14×1.5²×4

= 28.26 cubic feet

In gallons = 28.26×7.48

= 211.38 gallons

Therefore, option C is the correct answer.

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The correct option is C, 211.38. Hope this helps :)

Answer:

x = 19 or x = 13

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - 64 x + 494 = 0

Divide both sides by 2:

x^2 - 32 x + 247 = 0

Subtract 247 from both sides:

x^2 - 32 x = -247

Add 256 to both sides:

x^2 - 32 x + 256 = 9

Write the left hand side as a square:

(x - 16)^2 = 9

Take the square root of both sides:

x - 16 = 3 or x - 16 = -3

Add 16 to both sides:

x = 19 or x - 16 = -3

Add 16 to both sides:

Answer: x = 19 or x = 13

Answer:

y = 12 ⋅ ( ( 2.7 ) x )

Step-by-step explanation:

graph D

hope I help and pls branliest

Answer:

Yes, the conditions for inference are met.

A

Step-by-step explanation:

EDGE

The answer is option A because, the conditions for inference are met.

Data;

This is when the probability of a population parameter falls between a set of values for a certain proportion of times.

To answer this question, the conditions for inference are met.

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The total number of fluid ounces contained in 1 large glass of iced tea is 20 ounces

From the question, we are to calculate the total number of fluid ounces contained in 1 large glass of iced tea

Let the number of fluid ounces contained in 1 small glass be x

and

The number of fluid ounces contained in 1 large glass be y

Thus,

From the statement

"1 small glass and 2 large glasses contain a total of 48 fluid ounces of iced tea

2 small glasses and 3 large glasses contain a total of 76 fluid ounces of iced tea"

We can write that

x + 2y = 48

and

2x + 3y = 76

Now, we will solve the equations simultaneously

From the first equation,

x + 2y = 48

We can write that

x = 48 - 2y

Substitute into the second equation

2x + 3y = 76

2(48 - 2y) + 3y = 76

96 - 4y + 3y =76

96 - y = 76

96 - 76 = y

20 = y

Therefore,

y = 20

Hence, the number of fluid ounces in 1 large glass is 20 ounces

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Answer: 12 sides

Step-by-step explanation: If each angle of a regular polygon measures 150°, then the polygon has 12 sides. hope this helps pls pls pls give me brainliest

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

yes

Step-by-step explanation:

...

Answer:16

Step-by-step explanation: I took the same quiz

Answer:

4/9

Step-by-step explanation:

20+16= 36 total shapes. 16/36 simplifys to 4/9.

The simplest ratio of triangles to total shapes is 4:7.

Given that the number of squares=20 and the number of triangles=15.

The total number of shapes=20+15=35.

We need to find the simplest ratio of triangles to total shapes.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, triangles: total shape=20:35

=4:7

Therefore, the simplest ratio of triangles to total shapes is 4:7.

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2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.