What is the value of f(x) if x=5 ?

Answer:

b = -10

c = 25

Step-by-step explanation:

Since the only solution to x is 5 that mean answer will look something like this:

(x-5) (x-5) = 0

x(x-5) -5(x-5)

x^2 -5x -5x + 25

x^2 -10x + 25

This is same as x^2 + bx + c = 0

where b is -10 and c is 25

A logarithmic function is a type of inverse function.

A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).

The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y

One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.

Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.

It is also important to note that logarithmic function have some key characteristics such as:

The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.

The range of a logarithmic function is all real numbers.

The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.

A logarithmic function is increasing over its domain and concave down.

The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.

Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.

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Answer:

Multiply the x by 5 to get the y

Answer:

33=2x+y, 48=3x+y

Step-by-step explanation:

Sorry my internet isn't working well. Go to math-way and put that in and it will give you the answer :)

Answer: 95%

Step-by-step explanation:

i kinda slayed

Using the empirical rule, for normal distribution is 68 % of his commutes will be between 23.5 and 32.5 minutes

The normal distribution is a probability distribution used to calculate probability for continuous variables.

Here, we have,

to find what percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule:

Now, since gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes, we need to find the percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule.

First, we need to find how many standard deviations away from the mean each value is using the z-score

Z = (x - μ)/σ where

x = value,

μ = mean and

σ = standard devation

For x = 23.5, we have

Z = (x - μ)/σ

Z = (23.5 - 28)/4.5

Z = -4.5/4.5

Z = -1

Z = -1σ

Also, for x = 32.5, we have

Z = (x - μ)/σ

Z = (32.5 - 28)/4.5

Z = 4.5/4.5

Z = 1

Z = 1σ

So, we have that -1σ ≤ (x - μ) ≤ 1σ

So, the values between 23.5 and 32.5 minutes lie within one standard deviation.

Using the empirical rule, this is 68 % of the values.

So, 68 % of his commutes will be between 23.5 and 32.5 minutes

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complete question:

when gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. using the empirical rule, what percentage of his commutes will be between 23.5 and 32.5 minutes?

Answer:

Hi.

three fifth of 200 is 120.

Answer:

B. 73°

Step-by-step explanation:

The solution to the pair of simultaneous equations 2x + y = 5 and 3x - 2y = 4 is (2, 1).

A system of linear equations is a set of two or more equations which includes common variables. The solution to a system of equations, is the value of the unknown variables used in the equations that satisfies both equations.

Given two linear equations in x and y,

2x + y = 5     (equation 1)

3x - 2y = 4     (equation 2)

Use substitution method to find its solution. Express the first equation as y in terms of x and substitute the value of y to the second equation.

2x + y = 5     (equation 1)

y = 5 - 2x

3x - 2y = 4     (equation 2)

3x - 2(5 - 2x) = 4

3x - 10 + 4x = 4

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.

3x - 10 + 4x = 4

7x = 14

x = 2

Substitute the value of x in the first equation and solve for y.

y = 5 - 2x

y = 5 - 2(2)

y = 5 - 4

y = 1

Hence, the solution of the given system of equations is (2, 1).

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Answer:21

Step-by-step explanation:

The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle expressed as:

C = 2πr

r is the radius of the fairy wheel

Given the following parameters

radius = 20 feet

Substitute into the formula of the circumference:

[tex]C = 2(3.14)(20)\\C = 40(3.14)\\C = 125.6 feet[/tex]

This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

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Answer:

Scale Factor: 2

Step-by-step explanation:

Need more information?

Visit MathWareHouse.com

Hope this was helpful! Thank you & have an awesome day! =)

Answer:

[tex]192x ^{3} y ^{3} [/tex]

Answer:

I believe this is the only answer I got from you bro.

hope it helps.

Answer:

m∠A=126°

Step-by-step explanation:

Supplementary means that they add up to 180°.

Therefore we can do 180-54 to get 126° for the m∠A.

Hope this helped! :)

Answer:

Step-by-step explanation:

How many carrots are in a can?  is that the question ?  :DDDDD

15/16   and  1/4 = 4/16 sooo

4*3 = 12

so three full servings  and one that is  3/4 full  

so 3

Answer: About 62 pounds of organic lettuce

2.75x+50=220

Solve for x

x=61.81(repeating)

Answer:

Sebastian is correct

Step-by-step explanation:

George is wromy because where he had to simplify:

+ 5 - 8 ( which is the same as - 8 + 5 ), he added the two numbers (5 and 8) which is not supposed to be so. He should have rather subtracted the 8 from the five which will be + 5 - 8 = 3. This then makes Sebastian correct as he subtracted the two numbers.

Answer:

1.1^2 = 1.21

1.21 x 3.14 = 3.7994

3.7994 x 2.9 = 11.01826

11.01826 divided by 3 = 3.67275333333 rounded = 3.7 m3

Answer:

smaller/ less than

Answer:

less than

Step-by-step explanation:

On a number line, the values go from least to greatest, left to right. So if you go towards the left, the number is decreasing.

The transformation of the function is given by reflection along y axis and a translation of 5 units up

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the transformation be represented as A

Now , the equation will be

Let the triangle be represented as ΔODG

Now , the coordinates of ΔODG is

O = O ( -1 , -2 )

D = D ( -5 , -3 )

G = G ( -2 , -4 )

Now , the transformed triangle is ΔACT

The coordinates of ΔACT is

A = A ( 1 , 3 )

C = C ( 5 , 2 )

T = T ( 2 , 1 )

Now , on reflecting the triangle ΔODG along y axis , we get

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse

So , the coordinates of triangle O'D'G' , we get

O' = O' ( 1 , -2 )

D' = D' ( 5 , -3 )

G = G' ( 2 , -4 )

Now , translating the triangle ΔO'D'G' up by 5 units , we get

The y coordinate of the triangle gets incremented by 5

So ,

A = O' ( 1 , -2 + 5 )

C = C ( 5 , -3 + 5 )

T = T ( 2 , -4 + 5 )

And , the coordinates of the triangle ΔACT is

A = A ( 1 , 3 )

C = C ( 5 , 2 )

T = T ( 2 , 1 )

Hence , the transformation is reflection along y axis and followed by translation of 5 units up

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Step-by-step explanation:

6(8x+5)

Use the distributive property to multiply 6 by 8x+5.

48x+30

Hope it Helps!

Answer: get yio colors straightv

Step-by-step explanation:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Option (d) is the correct choice.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

A parallelogram has the following qualities:

The opposing sides are equally spaced and parallel.

Angles on either side are equal.

The following or neighboring angles are supplemental.

All of the angles will be at right angles if any one of them is a right angle.

The two diagonals cut across one another.

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The measures of the angles of the triangles are

The measure of ∠B = 80.3°

The measure of ∠C = 59.7°

The length of side AB = 20.2 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AC = 23

The measure of side BC = 15

The measure of ∠A = 40°

From the law of sines , we get

( sin A ) / a = ( sin B ) / b = ( sin C ) / c

Substitute the value of A and a in the equation , we get

sin ( 40 )° / 15 = sin B / 23

On simplifying the equation , we get

sin B = ( 23/15 ) x sin ( 40 )°

Now , m∠B = 80.27°

So , the measure of angle ∠B = 80.3°

And ,

The interior angles of a triangle is 180°

So , The measure of angle ∠C = 180° - ( 80.3° + 40° )

On simplifying the equation , we get

The measure of angle ∠C = 59.7°

Now ,

From the law of cosines , c² = a² + b² - 2ab ( cos C )

Substitute the value of a , b and cos C in the equation , we get

c² = 15² + 23² - 2 ( 15 ) ( 23 ) cos ( 59.7 )°

On simplifying the equation , we get

c² = 225 + 529 - 348.12363

c² = 405.87

Taking square roots on both sides of the equation , we get

c = 20.156

c = 20.2 units

Therefore, the measure of side AB = 20.2 units

Hence , the measures angles of triangle is solved

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Projective tests are created so that the test taker cannot tell what they are testing for.

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Answer:

Yes, Rudy is correct

Explanation:

Number of sides of a hexagon = 6

The sum of all interior angles of a polygon with n sides  = (n-2)*180

Here, since a regular hexagon has 6 sides, n = 6

= (6 - 2)*180

= 4*180

= 720 degrees

Hope it helps :)

Have a great day!

She will make a total profit of $220. Profits are amounts of money paid to a person with the right of immediate occupation for using the land when no permission has been granted for that use.

Profit is the term used to describe the monetary gain experienced when the revenue from a commercial activity outpaces the costs, costs, and taxes incurred to support the activity in question. There are three primary ways to measure profit. These include operating profit, net profit, and gross profit. Gross profit and operating profit are indicators of how efficiently your company uses its resources to produce its goods and run day-to-day operations.

number of bracelets sold for $12 each=9

number of bracelets sold for $8 each=14

Total profit=9x12+8*14=$220

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Answer:

C

Step-by-step explanation:

Y - 4 = -2x + 10 Multiply -2 to the inside the brackets

Y = -2x + 14 Add the 4 over