Which of the following function pairs are inverses?

A) f(x)=4 x² and g(x)∛x

B) f(x)=x²-16 and g(x)=x-4

C) f(x)=5 x-3 and g(x) x+350/5

D) f(x)=-2 x and g(x)1/2 x

Answer:

27

Step-by-step explanation:

first you multiply 6x4 which is 24 the you divive 15 by 5 you'll get 3 then you add 24 + 3 and your answer is 27

a. Angle g is corresponding to angle c.

b. Angle f is alternate to angle d.

c. Angle d is corresponding to angle h.

d. Angle c is vertically opposite to angle a.

e. Angle c is alternate to angle e.

f. Angle f is vertically opposite to angle h.

g. Angle e is corresponding to angle a.

h. Angle e is vertically opposite to angle g.

Please mark me BRAINLIEST if you like my answer

The rules of proof is that every statement should be justified and never assume things when proofing in contradiction

The basic rules of proofs are as followings:

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Answer:

25 people

Step-by-step explanation:

10 people will be vaccinated for 2hrs

10 = 2

y people will be vaccinated for 5hrs

y = 5

(To find y we need to cross multiply)

10 = 2

y = 5

2y= 50

y=50/2

y=25

:- 25 people will be vaccinated in 5hrs.

Lets check if our answer is correct let us make 5 hrs our unknown x

10 = 2

25 = x

(cross multiply)

25×2=10x

50=10x

x=5hrs

so our answer is correct.

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We are interested in values that make the quadratic expression negative if the quadratic expression is less than, equal to, or greater than 0. We are interested in numbers that make our quadratic expression positive if the quadratic expression is more than, greater than, or equal to 0.

An discriminant value definition ?

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

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If the length of two segments is equal then the two segments are congruent.

If l(AB) = l(CD) then seg AB ≅ seg CD.

Two line segments to be congruent if and only if they have the same length.

Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.

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The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440

From the question, we have

⁸C₇ and ¹¹P₅

The combination expression: ⁸C₇

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 7

Substitute the known values in the above equation

Total = ⁸C₇

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

⁸C₇ = 8!/7!1!

Evaluate

⁸C₇ = 8

(b) The permutation expression: ¹¹P₅

The number of ways of selection could be drawn is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 11 and r = 5

Substitute the known values in the above equation

Total = ¹¹P₅

Apply the permutation formula

ⁿPᵣ = n!/(n - r)

So, we have

¹¹P₅ = 11!/6!

Evaluate

¹¹P₅ = 55440

Hence, the values are 8 and 55440

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The real zeroes of the given polynomial are located at (1, 2).

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

Given that, x⁴-2x³+x-2

Checking the real zeroes,

Considering point (1, 2)

y = 2 and x = 1

Putting the values,

x⁴-2x³+x-2 = 1-2+1-2 = 2

And, y = 2

Therefore, LHS = RHS

Hence, The real zeroes of the given polynomial are located at (1, 2).

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Yes, two triangles can be proven congruent by SAS(Side angle side) congruence.

If any pair of comparable sides and their included angles are the same in both triangles, then the triangles are said to be congruent.

There are five ways to determine whether two triangles are congruent. It's one of them (SAS). Congruent Triangles provides a list. If any two comparable sides and their included angle in both triangles are same, then the triangles are congruent.

Why does this matter?

Due to the congruence of the triangles:

Third sides also have identical angles.

the other two complementary angles are equal

Two triangles, congruent since all three sides are the same length, but one flipped and rotatedCongruent triangles can be turned and/or mirror images of each other (reflected).

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The speed of the wind is 100 miles per hour.

Speed is the ratio of distance traveled and the time taken to travel the distance.

Given that, the twin-engine aircraft can fly 960 miles from city A to city B in 3 hours with the wind.

Let the speed of the wind and the aircraft be w and p respectively.

The net speed with the wind is:

w + p

Since the distance between the cities is 960 miles and the aircraft covers it in 3 hours with the wind, the net speed with the wind is:

w + p = 960/3

w + p = 320

p = 320 - w

Similarly, the net speed against the wind is:

p - w = 960/8

p - w = 120

Substitute p = 320 - w into the above equation:

320 - w -w = 120

2w = 320-120

w = 100

hence, the speed of the wind is 100 miles per hour.

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Answer:

[tex]\begin{aligned}\textsf{(a)} \quad y&=-6x^2\\y&=4x^2-2\end{aligned}[/tex]

[tex]\textsf{(b)} \quad x=\dfrac{1}{4}y^2[/tex]

Step-by-step explanation:

A graph is symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph.

Linear functions are not symmetric with respect to the y-axis.

Quadratic functions are symmetric with respect to the y-axis if the y-axis is their axis of symmetry, so when the variable x is squared.

Cubic functions are not symmetric about the y-axis.

Square root functions are not symmetric about the y-axis.

There are two quadratic functions with x² in the given answer options.

Test to see if they are symmetric with respect to the y-axis.

Test for symmetry

To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

Given function:

[tex]y=-6x^2[/tex]

Replace x with (-x):

[tex]\implies y=-6(-x)^2[/tex]

[tex]\implies y=-6x^2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.

Given function:

[tex]y=4x^2-2[/tex]

Replace y with (-y) and x with (-x):

[tex]\implies y=4(-x)^2-2[/tex]

[tex]\implies y=4x^2-2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.

A graph is symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, -b) on the graph.

Linear functions are not symmetric with respect to the x-axis.

Quadratic functions are symmetric with respect to the x-axis if the x-axis is their axis of symmetry, so when the variable y is squared.

Cubic functions are not symmetric about the x-axis.

Square root functions are not symmetric about the x-axis.

There is one quadratic functions with y² in the given answer options.

Test to see if it is symmetric with respect to the x-axis.

Test for symmetry

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

Given function:

[tex]x=\dfrac{1}{4}y^2[/tex]

Replace y with (-y):

[tex]\implies x=\dfrac{1}{4}(-y)^2[/tex]

[tex]\implies x=\dfrac{1}{4}y^2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the x-axis.

The solution to the inequality expression is x ≥ - 5

what is inequality expressions ?

Both equations and inequalities are mathematical phrases created by connecting two expressions. The two expressions are regarded as being equivalent in an equation.

solution:

The given expression - 4(x + 3) ≤ –2 – 2x

                                     - 4x - 12  ≤ -2 - 2x

                                      -4x + 2x  ≤ -2 + 12

                                              -2x  ≤  10

                                               -x  ≤ 5

Multiply  both sides by - 1

Then x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

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By using a linear combination, we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

To write the number using only hundreds and ones we need to write our number as a linear combination of ones and hundreds, so we can write:

2,857 = a*100 + b*1

There are multiple solutions for this, we can use b to cover the ones and the tens, so:

57 = b*1

57 = b

And we can use a to cover the hundreds and thousands, so:

2,800 = a*100

2,800/100 = a

28 = a

Then we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

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Answer:

Step-by-step explanation:

I hope anyone answers

Help

Please

Answer:

264

Step-by-step explanation:

26.4 * 10 = 264

May I please have a brainliest? Thank you!

Answer:

264 yards

Step-by-step explanation:

When we multiply a decimal number by ten, we can just move the decimal point to the right by one!

So, 26.4 becomes 264

So, A.J. can hit a golf ball 264 yards

P is equal to 8700% for population x time in hours.

P is equal to 8700% for population x time in hours. 2Ae%5E%28kx%29

K's model must be solved. ln%28p%29=ln%288700%29%

2Bkx%2Aln%28e%

29\skx%

2A1=ln%28p%29-ln%288700%

29\sk=%281%

2Fx%29%

28ln%28p%29-ln%288700%29%29

Replace the point (1,10000).

k=%281%

2F1%29%

28ln%2810000%

29-ln%288700%

29%

29\sk=ln%2810000%

29-ln%288700%

29 k=0.13926, which you might only desire to three or maybe even two significant figures.

You may just enter 10000% if you want p after two hours.

And it SHOULD be the same as 8700% (2810000%2F8700%).

Just give it a shot and see, 2Ae%5E%280.139%2A2%29. More particular, the model is highlighted by p=8700%. 2Ae%5E%280.139% 2Ax%29% 29.

Determine how long to double x.

Take the logs on both sides, then find x.

To put it more simply, start with this form: 2=1%2Ae%5E%280.13926%2Ax%29

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Answer: 65 °

Step-by-step explanation:

Let x = measure of a base angle

Base angles of an isosceles triangle are equal

Sum of interior angles of a triangle is always 180:

x + x + (2x - 80) = 180

4x - 80 = 180

4x = 260

x = 65

The number of distinguishable permutations in the given letters are:

a.) Bigger= 720

b.) Hollywood = 362,880

C.) possess = 5040

Permutation is defined as the arrangement of data set in a definite form which involves multiplication from the given number to 1.

The word 'bigger' contains 6 letters. Therefore the permutation of 6 = 6×5×4×3×2×1 = 720

For the word 'hollywood' contains 9 letters. Therefore the permutation of 9 =9×8×7× 6×5×4×3×2×1= 362,880

For the word 'possess' contains 7 letters. Therefore the permutation of 7 = 7× 6×5×4×3×2×1 = 5040.

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The equations are matched as below and the graph is plotted and attached

A log-log graph, also known as a log-log plot, is a two-dimensional graph of numerical data used in science and engineering that use logarithmic scales on both the horizontal and vertical axes.

The exponential graph is the opposite of logarithmic graph

In the given functions

log (x) is logarithmic function

10× is exponential function

Similarly, the natural exponent graph is the opposite of natural logarithm graph

in the given functions

e× is the natural exponential

ln (x) is the natural logarithm

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The height of the cedars when they were planted by André, found using the formulas for arithmetic progression is 1.32 meters

An arithmetic progression is a number sequence that consists of numbers that have a constant or common difference between consecutive term of the sequence.

The year André planted the cedar hedge tree = 15 years ago

The present height of the hedge = 3 meters = 300 cm

The average rate at which the cedars grew = 12 cm per year

The height of the cedar hedge when André initially planted the them can be found by representing the situation using an arithmetic progression formula or as follows;

The nth term of an arithmetic progression, aₙ, can be found using the formula; aₙ = a₁ + (n - 1)·d

Where;

a₁ = The initial height of the tree

d = The amount the tree grows each year = 12 cm

n = The number of years ago, the tree was planted

When n = 15, we get;

a₁₅ = 3 meters = 300 cm

Therefore;

300 = a₁ + (15 - 1) × 12

a₁ = 300 - (15 - 1) × 12 = 132

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Answer:0.5

Step-by-step explanation:

here you go

In the transformation of a 2-dimensional shape on the coordinate plane. (x, y) → (-y, -x), the statement which is true is that: d. Transformation preserves distance and angle measure both.​

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

Based on the transformation rule (x, y) → (-y, -x), we can reasonably infer and logically deduce that it represents or models a rotation of the geometric shape, followed by a reflection, which both preserves distance and angle measure based on these transformation rules:

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Complete Question:

Look at the transformation of a 2-dimensional shape on the coordinate plane. (x, y) → (-y, -x). Which statement is true?

a. Transformation preserves only distance.

b. Transformation preserves only angle measures.

c. Transformation preserves neither distance nor angle.

d. Transformation preserves distance and angle measure both.​

It is important to make a ten in lower grades to make students understand the subtraction.

According to the question,

We have the following information:

Making a ten

Now, we know that in making a ten method we take 1 from the next left digit of the number from which we are subtracting any other number.  Now, this number 1 is treated as 10 instead of 1 and then 10 is added to the digit to ease subtraction in lower grades.

Now, the subtraction can be easily performed by subtracting the smaller number from the larger number.

Hence, it is important to make tens in lower grades to make students understand the subtraction.

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The expression written in terms of sinx and cosx is

sinx· cos7π/4 - cosx ·sin7π/4

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given expression is sin(x - 7π/4).

Use the formula for sin(A-B) to rewrite the expression:

sin(x - 7π/4)

= sinx· cos7π/4 - cosx ·sin7π/4

Hence, the expression written in terms of sinx and cosx is sinx· cos7π/4 - cosx ·sin7π/4

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The formula for slope-intercept form is: y = mx + b

    m = the slope of the line

    b = the y-coordinate of the y-intercept, (0,b)

In this case, the slope is 3, since you go up 3 and to the right 1 to get from the point at (1,1) to the point at (2,4).  3/1 = 3

The line crosses the y-axis at (0,-2), so your b-value is -2.

The equation is y = 3x - 2.

In general, lines that increase (go uphill) from left-to-right have a positive slope.  Lines that decrease (go downhill) from left-to-right have a negative slope.  

The required range is [0,∞]

All values, or inputs, constitute a function's domain, while all values, or outputs, constitute its range.

When examining a graph, the range of the function is from up to down, and the domain refers to all of the values on the graph from right to left.

Therefore , the range of the function on the graph of  all real numbers extends from zero to positive infinity.

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Answer: 2 and 2/3

Step-by-step explanation: To divide these mixed numbers, I would first rewrite them as improper fractions.

You should be familiar with how do this and if you aren't, send me a comment below and I can give you a quick review.

So 5 and 2/3 becomes 17/3 and 2 and 1/8 becomes 17/8.

This gives us 17/3 ÷ 17/8.

When we divide fractions, we just change the division sign

to multiplication and take the reciprocal (flip) the second fraction.

So we have 17/3 · 8/17.

before multiplying, we can cross-cancel the 17's by dividing by their greatest common factor of 17 to get 1.

So we have 1/3 · 8/1 which is 8/3.

Now since 3 goes into 8 twice, our we have 2 as our whole fraction.

Since there is 2/3 left over, we have a fraction of 2/3.

So our final answer is 2 and 2/3.

The number that Goran can choose, which will be multiples of 2, 6, and 8, between 67 and 113 are 72, 96

To find out the numbers that Goran can choose, find the multiples of 2, 6, and 8 that are between 67 and 113. Then the common multiples of these numbers within that range, are the numbers to be chosen.

Multiples of 2 between 67 and 113 :

68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112

Multiples of 6 between 67 and 113 :

72, 78, 84, 90, 96, 102, 108,

Multiples of 8 between 67 and 113 :

72, 80, 88, 96, 104, 112

The numbers that are multiples of 2, 6, and 8 are:

72, 96

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