Helppppppppppppp please

Answer:

n must be less than or equal to 10

Step-by-step explanation:

f ^− 1 ( x )  =  x/2  − 4

That is the inverse

The value of the function, for x=-2 is 4.

The given function is f(x)=2x+8.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

When x=-2, we get

f(-2)=2(-2)+8

=4

When x=0, we get

f(0)=2(0)+8

= 8

When x=5, we get

f(5)=2(5)+8

= 18

Therefore, the value of the function, for x=-2 is 4.

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Step-by-step explanation:

hope this help you.........

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

Answer:

(x,0.3*x)

Step-by-step explanation:

the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.

Answer:

29

Step-by-step explanation:

p = 3p - 58

58 = 2p

(58/2) = p

p = 29

Answer: P= 8

Step-by-step explanation:

I need points.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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The distance of the fire from each tower is:

i. From Pine Knob: 41 kilometers

ii. From Colt Station: 15 kilometers

Bearing as a topic in mathematics can be used to determine the exact position or location of an object considering its angle of position and distance to a reference point.

Considering the given question; let the distance of the fire (F) from Pine knob (PK) be represented by x, and that from Colt Station (CS) be represented by y.

Angle at PK = 80 - 65

                    = 15^o

Angle at CS = 65 + 70

                    = 135^o

Angle at F can be determined as;

15 + 135 + F = 180   (sum of angle in a triangle)

150 + F = 180

F = 30^o

So that applying the Sine rule to determine the distances of the fire from PK and CS, we have;

a/Sin A = b/Sin B = c/Sin C

29/Sin 30 = y/Sin 15 = x/ Sin 135

29/Sin 30 = y/Sin 15

y = (29*Sin 15)/ Sin 30

  = 7.5052/ 0.5

  = 15.0104

y = 15 kilometers

29/Sin 30 = x/Sin 135

x = (29*Sin 135)/ Sin 30

  = 20.5059/ 0.5

  = 41.0118

x = 41 kilometers

Therefore, the distance from Pine Knob to the fire is 41 kilometers. While the distance from Colt Station to the fire is 15 kilometers.

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Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

Answer:

Okay the, 3 of Y by every unit of X. Simple.

Step-by-step explanation:

Answer: approximately 41.96 yards

Step-by-step explanation:

If a square property contains 1,758.1066 square yards, then the area of the square is equal to this value.

Let x be the length of each side of the square. Then, the area of the square can be expressed as x^2.

So we have:

x^2 = 1,758.1066 sq. yards

Taking the square root of both sides gives:

x = √1,758.1066

x ≈ 41.96 yards

Therefore, each side of the square is approximately 41.96 yards long.

Each side of the square is approximately 41.9143 yards long.

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

Answer:

x=50

Step-by-step explanation:

60+70=130

180-130=50

according to vertical angles x equals 50 degrees

In the given picture with 4 lines l, m and r, s. The l and m, r and s line are parallel lines.

Given that,

There is a picture with 4 lines l, m and r, s.

We have to check that those lines are parallel or not

To check that the line are parallel we have a condition.

If two lines are cut by the transversal and corresponding angles are congruent then we can say that those 2 lines are parallel.

In the figure we can see that ∠2 and∠6 are congruent.

So, we can say that lines r and s are parallel lines.

Similarly,

In the figure we can see that ∠1 and∠7 are congruent.

So, we can say that lines l and m are parallel lines.

Therefore, the l and m, r and s line are parallel lines.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

24%

Step-by-step explanation:

6/25=0.24

0.25*100=24%

Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

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Correct option is B. All values that satisfy y < One-third (x) – 3 are solutions.

The existing disparities include

y<1/3x<-1

y<1/3x<-3

y = 1/3x - 1 and y = 1/3x - 3 are the associated equations for the following inequalities.

The value tables are

With regard to line 1 With regard to line 2

x   y   x   y

0  -1   0   -3

3    0   9   0

Draw straight lines between these ordered pairs on a coordinate plane.

The symbol for both inequalities is "," which denotes that everything is shaded below both dotted lines.

It is evident from the graph below that any values that fulfill the condition y = 1/3x - 3 are solutions.

The graph is showing x and y axis.

Therefore, choice B is the right one.

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Answer:

To find how much yarn Tina used for the third doll, we can subtract the total amount of yarn used for the first two dolls from the total amount of yarn used.

Total amount of yarn used = 10 1/2 yards

Amount used for first doll = 3 1/2 yards

Amount used for second doll = 4 1/8 yards

To add 3 1/2 and 4 1/8, we need to find a common denominator:

3 1/2 = 7/2

4 1/8 = 33/8

Common denominator = 8

So, 3 1/2 = 28/8 and 4 1/8 = 33/8

Total amount used for first two dolls = 28/8 + 33/8 = 61/8

Subtracting the total amount used for the first two dolls from the total amount of yarn used:

10 1/2 - 61/8 = 84/8 - 61/8 = 23/8

Therefore, Tina used 23/8 yards of yarn for the third doll.

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

Answer:

Step-by-step explanation:

\(\tt 2\left(x+4\left(2x-5\right)\right)\)

Expand:-

\(\tt 2\left(9x-20\right)\)

Apply the Distributive Property:-

\(\tt 2\times \:9x-2\times \:20\)

Simplify:-

\(\tt 18x-40\)

____________________

Hope this helps!

Have a great day!

Answer:

18x−40

Step-by-step explanation:

Answer:

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A graph of f(x) is shown in the image below.

A graph of f(x) is shown in the image below.

The vertex form equation for g(x) is g(x) = -x²

In Mathematics and Geometry, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x)= (x + 3)² - 2, g(x) would be created by translating f(x) three units to the right, two units up, and reflected vertically over the x-axis as follows;

f(x) = (x + 3)² - 2

g(x) = -[(x + 3 - 3)² - 2 + 2]

g(x) = -x²

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The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

For the first line, using the points (0, 3) and (2, 7):

\(y-3 = (\frac{7-3}{2-0} (x-0))\\y = 2x+3\)

For the second line, using the points (0, -1) and (2, 5):

\(y-(-1) = (\frac{11-1}{4-0} (x-0))\\y = 3x-1\)

The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.

the solution of the system is x=4 , y =11.

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Answer:

No it gets smaller if a shape is dilated by the scale of 1/3.

Step-by-step explanation:

That's correct!

Hopes it helps;)

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.

A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.

y = (3/2)x + 1 is the given equation for the line.

Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.

Take note that the line's graph's y-intercept is also 1.

The line's graph includes points (2,4).

Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:

4 = (3/2)(2) + 1

4 =4

The equation is accurate.

Consequently, it can be claimed that the following equation reflects the graph.

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