HELP PLEASE
Which expressions represents f(x)-g(x)?
f(x) = 2x^2 - 3x + 6
g(x) = 3x^2 + 4x - 8

A) -x^2 - 7x + 14
B) -5x^2 - x +2

Answer:

1)3:1:2:1:1

2) its theoretical probality because Jayden is  calculating the probability of it happening, not actually going out and experimenting.

hope that helps bby<3

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The statements that are true about quadrilaterals are:

Parallelograms lack right angles, not all of them can be rectangles. There must be right angles for a parallelogram to be considered a rectangle.

Not every parallelogram has a rectangular component. A rhombus is not a square since its angles are not 90 degrees, yet a square is a rhombus. In a parallelogram, the opposing angles are equal (or congruent) The complementary angles to each other are consecutive angles (that means they add up to 180 degrees).A parallelogram's diagonals cut each other in half.

Therefore, option A,C and F are correct.

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Answer:

1.64

Step-by-step explanation:

8.20 / 5 = 1.64

Answer: ??

Step-by-step explanation:

Show the graph pls

Answer:I think its 2

Step-by-step explanation:Im not really sure but i think thats the answer

Answer:

2

Step-by-step explanation:

Since the tank has an initial volume we can initiate the equation like this

then since the pool is emptying, it means that the volume is decreasing

then the rate at which it is decreasing is 20 cubic feet per minute, meaning that the final equation should be

Answer:

Y= -1.5x+3

Step-by-step explanation:

(Y-Y1)=m(x-x1)

0-3=m(2-0)

m= -1.5

Y= -1.5x+B

when y=3 and x=0 b=3

Answer:

Option (C)

Step-by-step explanation:

Formula to get the scale factor of any image from it's preimage,

Scale factor of an image = \(\frac{\text{Dimension of the image}}{\text{Dimension of the preimage}}\)

From the figure attached,

F' is the image of preimage F after dilation.

Scale factor = \(\frac{\text{Length of A'B'}}{\text{Length of AB}}\)

                    = \(\frac{4}{6}\)

                    = \(\frac{2}{3}\)

Therefore, Figure F has been dilated by a scale factor of \(\frac{2}{3}\) to form F'.

Option (C). will be the answer.

Answer:

Step-by-step explanation:

Answer:

Upper Left

Bigger slopes means steeper lines.

Good luck!

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

Step-by-step explanation:

The formula for the area of a circle is:

A = πr^2

where A is the area, π (pi) is approximately 3.14, and r is the radius.

Substituting the given radius of 17 inches into the formula, we get:

A = 3.14 × 17^2

A = 3.14 × 289

A = 907.06

Therefore, the area of the circle is approximately 907.06 square inches.

Answer:

907.46

Step-by-step explanation:

Area of a circle formula is πr^2

It says the radius is 17

**Simplify**

(3.14)(17)^2=907.46

Answer:

Are these waves?It has to be clear in order to find the answer

Answer:

Do 400 x 130 then whatever you get divide it by 1000

Step-by-step explanation:

Answer:

In at least 5 weeks, Jose will have at least 1000$

Step-by-step explanation:

Hope this helps!!!

Answer:

\(\sqrt{541} \\\)=x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

\(\sqrt{541} \\\)=x

Answer:

c= 23.26 inches

Step-by-step explanation:

a^2+b^2= C^2

c=a^2+b^2=10^2+21^2=23.25941

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{15}\) = \(\frac{1}{2}\) ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Answer:

12 units/time²

Step-by-step explanation:

F = 2 + 8 - 4 = 6

F = ma

6 = 0.5a

a = 12

Answer:

5 5/7

Step-by-step explanation:

-4•6/7•-5/3

Put the numbers as fractions

-4/1•6/7•-5/3

Rewriting

-4/1 * 6/3 * -5/7

Simplifying the middle fraction

-4/1 * 2/1 * -5/7

Multiply the first two terms

-8/1 * -5/7

Multiplying

40/7

Changing from an improper fraction to a mixed number

7 goes into 40 5 times with 5 left over

5 5/7

Answer:

40/7

Step-by-step explanation:

The dot plot of the data values is added as an attachment

From the question, we have the following parameters that can be used in our computation:

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

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Answer:

B

Step-by-step explanation:

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equations are given below.

y = 2x + 56       ....1

y = 9x               ....2

From equations 1 and 2, then we have

9x = 2x + 56

7x = 56

 x = 8

Then the value of the variable 'y' is given as,

y = 9(8)

y = 72

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.

Step-by-step explanation:

Following the formulas for the numbers we can get this

Answer:

22.7 degree c

111.2 degree f

Step-by-step explanation:

The value of x is \( \frac{1}{4} \)

Step-by-step explanation:

Given:

\( \sqrt{x} + \sqrt{x + 2} = 2\)

Rearranging the radical on left side,

\(\sqrt{x + 2} = 2 - \sqrt{x}\)

Power on both sides,

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

Simplifying the left,

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

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

\( = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} \)

Now calculating its powers,

\( = > x + 2 = 4 - 4\sqrt{x} + x\)

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

\( = > 4 \sqrt{x} = 4 + x - x - 2\)

Now the +x and -x will be cancelled,

\( = > 4 \sqrt{x} = 4 - 2\)

\( = > 4 \sqrt{x} = 2\)

Bringing 4 to the right side, it becomes the denominator,

\( = > \sqrt{x} = \frac{2}{4} \)

\( = > \sqrt{x} = \frac{1}{4} \)

Now powering both sides,

\( = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}\)

\( = > x = \frac{1}{4} \)

Given:

The given function is:

\(f(x)=11x-11\)

To find:

The value of \((f\circ f^{-1})(-11)\).

Solution:

We have,

\(f(x)=11x-11\)

First we have to find the inverse of this function.

Putting f(x)=y, we get

\(y=11x-11\)

Interchange x and y.

\(x=11y-11\)

Isolate the variable y.

\(x+11=11y\)

\(\dfrac{x+11}{11}=y\)

\(y=\dfrac{x+11}{11}\)

Putting \(y=f^{-1}(x)\), we get

\(f^{-1}(x)=\dfrac{x+11}{11}\)

Now,

\((f\circ f^{-1})(-11)=f(f^{-1}(-11))\)

\((f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)\)        \(\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right]\)

\((f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)\)

\((f\circ f^{-1})(-11)=f\left(0\right)\)

The given function is \(f(x)=11x-11\).

\((f\circ f^{-1})(-11)=11(0)-11\)

\((f\circ f^{-1})(-11)=-11\)

Therefore, the value of \((f\circ f^{-1})(-11)\) is \(-11\). Hence the correct option is A.

Answer:

48 miles multiplied by x amount of gallons

Step-by-step explanation:

Answer:

A-96

B-144

C-192

Answer:

Step-by-step explanaton: