Solve each equation.
log 2 x+log x=11

Answer: − 104 y^2 + 52y

Answer:

Option C (the third option) or option A (the first option) may be correct.

Step-by-step explanation:

-13y(8y-4)

Use the distributive property to multiply -13y by 8y - 4.

-104y2+52y

Shine have 4 Quarters, 8 Dimes, and 16 Nickels coins.

From the given question we get the relationship between Quarters(Q), Dimes(D) and Nickle(N) in the form of ratio i.e.,

Ratio of Dime and Quarters = 2: 1 , and

Ratio of Nickle and Dime = 2:1

Therefore ratio between them,

Q : D : N = 1 : 2 : 4

Let's take Quarters to be x.

So we get the ratio as x:2x :4x

Thus, given that the total value is $2.60.

Therefore

0.25x + 0.2 (2x) + 0.05(4x) = 2.60

0.65x = 2.60

x = 4

Therefore with the ratio we get

Quarters = 4, Dimes = 8, Nickels = 16

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A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of g(3x) = 9x.

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the two functions be f(x) = 3x and g(x) = x²

f(g(x)) = f(x²)

f(x²)  =  3x²

simplifying the above equation, we get

g(f(x)) = g(3x)

g(3x) = (3x)²

g(3x) = 9x

Therefore, the value of g(3x) = 9x.

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The inequality that models the situation is $50 + n*$25 ≤ $175 with that, we can see that the student can take, at most, 5 classes.

Here we know that Mr. Bass chares his students $25 per lesson, plus a fixed fee of $50.

Then if you attend to n of his classes, the total amount that you need to pay is:

$50 + n*$25

If you want to pay no more than $175, then we can write the inequality:

$50 + n*$25 ≤ $175

Now we want to solve that inequality for n.

$50 + n*$25 ≤ $175

n*$25 ≤ $175 - $50

n*$25 ≤ $125

n ≤ $125/$25 = 5

So the student can take, at most, 5 classes.

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The value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.

We are given the equation as:

7 x² + 196 = 0

We need to solve the equation to find the value of x.

Subtracting 196 from both the sides, we get that:

7 x² + 196 - 196 = 0 - 196

7 x² = - 196

Now divide both the sides by 7, we get that:

7 x² / 7 = - 196 / 7

x² = - 28

Square root both the sides, we get that:

x = √ - 28

Using the properties of complex numbers, we get that:

x = ± 2 i√7

Therefore, we get that, the value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.

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Answer:

either 6 or 5

Step-by-step explanation:

median is the middle of the listed numbers

Answer:

There will be 15 2/3 cups in the mixture.

Step-by-step explanation:

3 3/5 + 2 2/3 = 3 9/15 + 2 10/15 = 5 19/15

= 6 4/15

6 4/15 × 2 1/2 = 94/15 × 5/2 = 47/3 = 15 2/3

So there will be 15 2/3 cups in the mixture.

Answer:

j has infinite solutions

Step-by-step explanation:

|3j-1|+6>0

|3j-1|+6-6>0-6

|3j-1|>-6 ==> all absolute value functions are greater than negative values

Hence, j has infinite solutions.

Answer: 60

Step-by-step explanation:

Step 1: In order to find the answer to this question we need to figure out what the total number of combinations we could make.

Step 2: To figure out the total number of combinations multiply each number. 4x5x3= 60.

Step 3 (explanation): The answer is 60, because we are finding out the total combinations for both the sweaters and pants and the shoes.

the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

In mathematics, the common logarithm is the logarithm with base 10.

It is also known as the decadic logarithm and as the decimal logarithm function.

Here, we have the logarithm function as:

( log ₅ 5 )

Now, we can see that:

It has a base of 5.

So, it will not be a common logarithm function as having base 10 is an important characteristic of a common logarithm function.

Therefore, we get that, the logarithm function ( log ₅ 5 ) is not a common logarithm function as it does not have a base 10.

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it is possisend at 6 and 2/3

Answer:

√43.

Step-by-step explanation:

It is at approximately 6.6

6.6^2 = 43.56

so, the answer is √43.

Answer:

9x + 2

Step-by-step explanation:

(2x + 3) + (7x - 1)

2x + 3 + 7x - 1

9x + 2

I hope this helps!

Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given, the total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                            = $236.25

Total salary for this week = 450+236.25

                                           = $686.25

So, Carson will receive the above amount in a week as his salary.

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Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11 . Then the probability of his score being between 86 and 115 is 0.2047

Mean = μ = 115

SD = σ = 11

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 86

x2 = 106

So,

Z1 = ( x1- mean)/ SD

   = 86- 115 / 11

   = -29/11

   = -2.6363

Z2 =  ( x2-mean)/SD

    = 106 -115 /11

     = -0.8181

And We have to find area to the left of both points then their difference to find the probability.

So, Area to the left of z1 = 0.00427

Area to the left of z2 = 0.20897

Probability to score between 135 and 167 = z2-z1 =  0.20897-0.004270

                                                                                 = 0.2047

Hence,

The probability of his score being between 86 and 115is 0.2047

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Answer:complementary

Step-by-step explanation:

I think 4 is complementary angles as complementary angles add up to 90 degrees

But about the rest I hope this help I am also not too sure about my answer either

Answer: The Answer is A.

Step-by-step explanation:

Answer:

V=144cm³

Step-by-step explanation:

V=?

r=4cm

h=9cm

pi=3

V= pi*r²h/3

V=3*4²*9/3

V=3*16*9/3

V=144cm³

The statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.

A rectangle is a quadrilateral that has four right angles, this means that two sides of the rectangle intersect each other perpendicularly to form right angles.

Thus, the slope of each pair of sides that intersect perpendicularly equals -1.

Therefore, for polygon ABCD to be a rectangle, we must prove that each pair of intersecting sides that meet have a a slopes that gives -1 when multiplied together. If the product of their slopes is not equal to -1, then the polygon is not a rectangle.

Conclusively, the statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.

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Answer:

X = -1

Step-by-step explanation:

1. expand the right side of the equation

8x + 6

7x + 5 = 8x + 6 should look like this

2. minus 7x on both sides

5 = 1x + 6 should look like this

3. minus 6 on both sides

-1 = 1x should look like this

4. divide by 1 from the x on both sides

-1 = x this is the only answer for this equation

Answer:

x-5

Step-by-step explanation:

You need to make 4x into a singular x. To do that divide the whole equation by 4 which is 1x or which is just x. Make sure to divide the -20 which is -5 making the whole equation x-5

Answer:

1.05

Step-by-step explanation:

range is the difference between the maximum value and minimum value

thus, range = 1.89-.84=1.05

The equation is in slope intercept form.

The standard form is 1 / 2 x + y = 3

Linear equation can be represented in different form. It can be written in slope intercept form and standard form.

The slope intercept form is as follows:

y = mx + b

where

Therefore, the linear equation y = - 1 / 2 x  - 3 is represented in slope intercept form.

A linear equation in standard form is express as follows:

Ax + By = C

where

A, B and C are constant.

Hence, the equation y = - 1 / 2 x  - 3 in standard form is as follows:

1 / 2 x + y = 3

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The  standard form of (4 × 10⁴) + (6 × 10²) is 40,600.

Standard form is a way of writing down very large or very small numbers easily.

For finding standard form of the given equation we will solve the equation then whatever answer we will, it will be  the standard form.

Let's begin by solving the roots 10 first :

 (4 × 10⁴) + (6 × 10²) = (4 × 10 × 10 × 10 × 10) + (6 × 10 × 10)

                                  = (4 × 10000) + (6 × 100)

                                  =  40000 + 600

                                  = 40,600

Hence the standard form of the given equation is 40,600.

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The function shows a decay and the equation of the asymptote is y = 0

The equation of the function is given as

f(x) = 12(0.96)^x.

Next, we plot the graph of the function f(x) = 12(0.96)^x

See attachment for the graph of the function f(x) = 12(0.96)^x

From the attached graph, we can see that the values of the graph decreases as x increases.

This represents a function decay

To do this, we set the rate to 0

So, we have

y = 12 * 0

Evaluate

y = 0

Hence, the equation of the asymptote is y = 0

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This transformation would be shifted vertically.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given Data

First, we decide which library function most closely resembles the function we are given. Our function has an x² because

We'll make use of the library there.

the formula f (x) = x²

Knowing the library function we'll use presently, we need a set of

The formula h(x) = x²

(4.1)

(9,6)

(16,13)

We know the graph of h (x) will be the same as that of f (x), but pushed upward 2 units since 2 + 2 is of the form y = f (x) + c.

As a result, by taking our points from the graph of f (x) = x 2 and subtracting 3 to each of the y-values, we may generate points on the graph of h (x).

points from the f (x) = x² graph working with.

f(x)                g(x)

(4,1)                (4,2)

(9,6)                  (9,7)

(16,13)             (16,14)

Thus we have obtained the graph of f(x)=x²-3; g(x) = f(x) + 1

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