urgent algebra 2 help please

The function  (f-g) (x) is represented as 5^2x - 3 - x .

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)=5^2x-2

g(x)=x+1

Then, the function

(f-g) (x) = 5^2x-2  - (x+1)

Distribute the negative;

(f-g) (x) = 5^2x-2  - x - 1

(f-g) (x) = 5^2x - 3  - x

Hence, the function  (f-g) (x) is represented as 5^2x - 3 - x .

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Answer:

y = csc(x)+2

Step-by-step explanation:

This is the graph of y = csc(x), shown in the attached image, shifted up 2 units.

The equation of the red graphed function is: g(x) = 1 - x².

Given the graph shown in the attachment below, the graphed function heads downwards, and the x - axis is intercepted at ( 1, 0 ) and (-1,0).

Thus, the x-intercepts, which is the zeros of the function, are: 1 and -1.

So, g(x) = (x + 1)(x -1)

Expand:

g(x) = 1 - x²

The equation of the red graph is: g(x) = 1 - x².

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Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

[tex]4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3[/tex]

Answer:

1188

Step-by-step explanation:

√121 (3^2)(2(6)) = 1188

Answer:

264

Step-by-step explanation:

√(121m^2 n^6)   =   11 m n^3

  sub in the values given for m and n

                       11 (3)(2^3) = 11 * 3 * 8 = 264

Answ x=59

Step-by-step explanation:

The speed of the wind and the speed of the dragon in still air are respectively;  142.5 mph and 7.5 mph

The dragon flew 300 miles with the wind in two hours.

After flying against the wind for two hours, he had made 270 miles of the return trip.

Let s be the speed in still air

Let w be the speed of the wind

Thus;

(s - w) = effective speed against the wind

and

(s + w) = effective speed with the wind

We know that;

distance = time * effective speed

Thus;

2(s + w) = 300

2(s - w) = 270

This can be simplified to get;

s + w = 150   -----(1)

s - w = 135   -----(2)

Add both equations to get;

2s = 285

s = 285/2

s = 142.5 mph.

Then, plane speed in still air is;

142.5 + w = 150

w = 150 - 142.5

w = 7.5 mph is the speed of the wind

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Answer:

A relation is a subset of cartesian product of two non empty sets whereas A function is a type of relation in which every element of first set has one and only image in the second set.

In a relation an element of the first set can have many images in the second set whereas in a function the first element can have only one image in the second set.

The given relation is not a function as the element 1 is related to 3 different elements in the second set.

Domain={1}

Range={7,14,21}

Answer:

A. 24

Step-by-step explanation:

Least common multiple of 8 and 12 = 24

8× 1 = 8 12×1 = 12

8×2 = 16 12×2=24

8×3 = 24

L.C.M (8,12) = 24

The greatest multiple that occurs in both the multiples of 8 and 12, is 24.

Hence, the least common multiple here is 24.

Answer:

the original amount was 62

Step-by-step explanation:

You can use the part over whole formula like this:

[tex]\frac{part}{whole} = ( \frac{6.2}{?} * \frac{10}{100})\\ ? = 62[/tex]

why?

because we know that 10% = 10/100, we can easily find out the answer by cross multiplying

? * 10 (let's use x, instead of ?)

=10x

6.2 * 100

= 620

Now we have an equation that looks like this: 10x = 620

By using the inverse operation tool (dividing each side by 10 to isolate x) we have:

x (or ?) = 62

Answer:

range = 18 and SD = 6

Step-by-step explanation:

range = max - min

= 228 - 210

= 18

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

The area of triangle is 24 sq. units

Area of rectangle is product of its length to its breadth.

i.e., Area of rectangle = length* breadth

let A(6, -3), B(3, -6), C( -1, -2) and D( 2, 1)

Using distance formula

AB = √(3-6)²+ (-6 +3)²

AB= √9 + 9

AB= √18

AB= 3√2

now,

BC=  √(-1-3)²+ (-2 +6)²

BC = √16 +16

BC = √32

BC =4 √2

Now, Area of rectangle

= AB* BC

=  3√2 *4 √2

= 12*2

= 24 square units

Hence, area of rectangle is 24 sq. units

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If you talk for 384.23 minutes the two plans will have the same cost.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

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Answer:

The length of the side BC is 6 units.

Step-by-step explanation:

Rectangle ABCD

Coordinates of Point A,B,C,D

[tex]A = ( 5 , 5)B = (7, 5)C = (7 , -1)D = (5 , -1)[/tex]

As we are asked to find the length of side BC, we'll apply the Distance formula on side BC

BC = [tex]\sqrt{(7_ {-} 7)^{2} +(-1 {-} 5)^{2}}[/tex]

     = [tex]\sqrt{(0)^{2} +(-6)^{2}}[/tex]

     = [tex]\sqrt{ 36}[/tex]

     = [tex]6[/tex]

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An equation of Hamid’s revenue by multiplying the book price by the number of copies sold is  x = ny.

The process of equating one thing with another.

Let Hamid’s revenue is $x and the price of book is $y.

If he sold n number of copies.

Then, the general equation will be x = n * y.

Therefore, an equation of Hamid's revenue will be x = ny.

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Answer:

x²+14x+11

Step-by-step explanation:

Find the perimeter of the triangle.

The perimeter is:

add them

-x²+9x

2x²+6

5x+5

x²+14x+11

quizlet

Answer:

Dilate circle A by a scale factor of 4.

Step-by-step explanation:

To show that two circles are similar, use transformations to map one to the other.

Step 1

Translate circle A so that its center is the same as circle B.

Translate circle A using the rule (x - 4, y - 3)

Step 2

Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.

⇒ scale factor = 16 ÷ 4 = 4

Dilate circle A by a scale factor of 4.

Therefore, the only answer option that is correct is:

Dilate circle A by a scale factor of 4.

Answer:

List method: {7,9,11,13,15,17,19}

Set method: {X:N where N is odd, N>5 and N<21}

The odd numbers greater than 5 and less than 21 are {7, 9,11,13,15,17,19}.

Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly.

Odd numbers are opposite to even numbers this means that even numbers are numbers that can be divided by 2.

When we say numbers greater than 5 and less than 21 this means 5< x < 21

The odd numbers greater than 5 and less than 21 are ;

{7, 9,11,13,15,17,19}. These odd numbers are greater than 5 and less than 21.

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Answer:

answer is B. 100°

Step-by-step explanation:

if correct please I need brainlist

Answer:

100°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

The 80° angle and angle x are opposite each other, so:
x + 80° = 180°

x = 180° - 80°

  x = 100°

Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

The change of amplitude of a sound wave's amplitude is linked to the change in pressure that occurs due to the wave measured at a given location.

Frequency tells the number of waves that  pass a fixed location in a specific time frame.

Sound engineers uses the basic laws of trigonometry via sine and cosine graphs.

Note that all sounds can be broken down into a lot of sine waves, as sine waves comes together to form sounds.

Therefore, Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

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Answer:

[tex]y = \sin( \frac{2\pi}{3} x) [/tex]

Step-by-step explanation:

The equation of a sine function is y = a sin(bx), where a = amplitude (aka height) and b equals period (aka time). I'm assuming there isn't any information other than the graph shown, so let's assume that our amplitude is 1 and our period is 2pi/3. Plugging these values into the equation, we get:

[tex]y = (1) \sin(( \frac{2\pi}{3})x ) = \sin(\frac{2{\pi} }{3}x )[/tex]

The true statements are

-one zero with multiplicity 3

-one zero with multiplicity 4

-one zero with multiplicity 5

-one zero with multiplicity 1 and one zero with multiplicity 2

-one zero with multiplicity 1 and one zero with multiplicity 3

-one zero with multiplicity 2 and two zeros with multiplicity 1

-one zero with multiplicity 2 and three zeros with multiplicity 1

-Two zeros with multiplicity 2

-Two zero with multiplicity 2 and two zeros with multiplicity 1

-Two zero with multiplicity 2 and three zeros with multiplicity 1

-Two zero with multiplicity 1

-Three zeros with multiplicity 1

-Four zeros with multiplicity 1

-Five zeros with multiplicity 1

The function is given as:

f(x)

And it has a degree of 3

This means that

Using the above highlight as a guide, the true statements are (a), (d),and (l)

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The graph is: On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

A cubic function in mathematics is one with the formula f(x)=ax3+bx2+cx+d, where aneq 0 and the coefficients a, b, c, and d are complex numbers, and the variable x has real values. In other words, it is a real function as well as a polynomial function of degree three.

The function we have is:

y = ∛(x - 5)

So cubic root is given

Here we notice that when x = 0, we have:

y = ∛-5, this is the y-intercept

And when x = 5 we have:

y = ∛0 = 0 which is the x-intercept, and also the inflection point because here we have the change of sign.

Hence option which describes graph best is On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

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Answer:A

Step-by-step explanation: Edge 2022

The transformation of a function may involve any change. When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given the function f(x)=x², which is transformed to g(x)=(x-5)²+1, therefore, the graph of both the functions are given below.

When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

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Answer:

Step-by-step explanation:

Probability that the salesperson has “Fair” potential or has Above Average Sales ability is; 90.8%

A) Probability that the salesperson has “Fair” potential for advancement = (16 + 45 + 93)/500 = 154/500 = 30.8%

B)  Probability that the salesperson has “Fair” potential or has Above Average Sales ability = 30.8% + (300/500)% = 90.8%

C) Probability that the salesperson has “Fair” potential given they have Above Average Sales ability = P(A|B) = P(A ∩ B)/P(B) = (93/500)/0.6 = 0.31 = 31%

D) P(selecting 2 salespersons and finding they both have Fair potential for advancement) = (154/500) * (153/499) = 9.44%

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Answer:

1. 8

2. 3

Step-by-step explanation:

[tex]f(g(3)) \\= f(2(3)-3))\\=f(3)\\=3^2-1\\= 9-1\\=8\\\\g(f(-2))\\= g((-2)^2-1)\\=g(4-1)\\=g(3)\\=2*3-3\\=3[/tex]

Note that the sign of f on the interval -5/9 < x < 2/3 is negative. (Option B)

To determine the sign of f(x) on the interval -5/9 < x < 2/3, we need to evaluate f(x) at a test point within this interval and determine if it is positive or negative.

Since we know that f(x) has zeros at x = -4, x = -5/9, and x = 2/3, we can use these points as our reference to choose test points.

Specifically, since the zeros at x = -5/9 and x = 2/3 are not included in the interval -5/9 < x < 2/3, we can choose any test point within this interval, such as x = 0.

Evaluating f(x) at x = 0, we get:

f(0) = (3(0) - 2)(0 + 4)(9(0) + 5)

= (-2)(4)(5)

= -40

Since f(0) is negative, we can conclude that f(x) is negative on the interval -5/9 < x < 2/3.

Therefore, the sign of f on the interval -5/9 < x < 2/3 is negative

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Full Question:

f(x) = (3x - 2) (x+4) (9x +5) has zeros at x = -4, x = -5/9, and x = 2/3, that is the sign of f on the interval -5/9 < x < 2/3?

The total number of cups in the package is 2300.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Let the total number of cups in the package be x.

Number of green cup = 690

Weightage of green cup in total = 30%

Now,

30% of x = 690

30/100 X x = 690

x = 690 X 100/30

x = 23 X 100

x = 2300

Thus, the total number of cups in the package is 2300.

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