Match each sum or difference with the correct simplified expression.

(x - 5) - (x - 1)

2x - 4

(x - 5) + (x + 1)

2x - 6

(x - 5) - (x + 1)

4.

(x - 5) + (x - 1)

-6

Answer:

x = 13 or x = 1

Step-by-step explanation:

To solve the equation (x - 7)^2 = 36, we can take the square root of both sides:

(x - 7)^2 = 36

sqrt((x - 7)^2) = sqrt(36)

x - 7 = ±6

Solving for x, we get:

x - 7 = 6 or x - 7 = -6

x = 13 or x = 1

Therefore, the values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

Learn more about corresponding angles here: https://brainly.com/question/2009183

#SPJ1

To find the solution to a graph, you would need to identify the points on the graph that intersect (cross) at the solution. These points are usually marked with an 'x' or a dot. Once you have identified the points, you can draw a line between them to identify the solution.

The graph is a visual representation of data points that are plotted along two axes and can be used to find the solution to a problem. By looking at the graph, you are able to identify the points where the lines intersect, which indicates the solution. This method is a quick and effective way to visualize the data and identify the solution.

Learn more about Graphics: https://brainly.com/question/27222209

#SPJ4

Answer:

B. Birr 750

Step-by-step explanation:

Therefore, 8% of Birr 750 is Birr 60.

Solution:

Note that:

Solving for x.

Option B is correct.

Hoped this helped!

Answer:

Linear

Step-by-step explanation:

There is a constant rate of change ( 1 ), and there is a y-intercept.

Answer:

=£900

Step-by-step explanation:

750 * (1+4*5%)

750 * (1+4*0.05)

=900

Answer: Surface Area: 32 yd^2

Volume: 16 yd^3

Step-by-step explanation:

Surface Area: 2(2*2)+2(2*2)+2(2*4)=

                       2(4)+2(4)+2(8)=

                         8+8+16=32 yd^2

Volume: 2*2*4=16 yd^3

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

Answer:

both measures show strong growth in CEO

Step-by-step explanation:

350 firms in 2018 was $17.2 million- or $14.0 both show that they have a strong growth in the last  2 years.

Answer:

The answer is B "The annual change in production has exceeded the annual change in the average salary."

Step-by-step explanation:

Yes

Answer:

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

Step-by-step explanation:

Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.

2x -3y= 9

3y= 2x -9

Divide by 3 throughout:

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

Thus, the gradient of given line is ⅔.

Parallel lines have the same gradient.

Therefore, gradient of line is ⅔.

Substitute m=⅔ into the equation:

\(y = \frac{2}{3} x + c\)

To find the value of c, substitute a pair of coordinates.

When x=4, y= -1,

\( - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} \)

Substitute the value of c:

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

Answer:

first page is 12, and the facing page is 13.

Step-by-step explanation:

The pages are facing each other, so they are consecutive numbers:

Let x = the first page number

y = the second page number

The second page number is just 1 more than the first, because they are consecutive numbers:

x+1 = y

We also know that the products of the numbers is equal to 156:

xy = 5852

Now we will sub y = x+1 into the second equation:

x(x+1) = 5852

x^2 + x = 5852

x^2 + x - 5852 = 0

Factoring (or using the quadratic formula) gives us:

(x+13)(x-12) = 0

x = - 13, or x = 12.

A page number can't be negative, so we will choose x=12.

This means that the second page must be page 13.

Answer:

234

Step-by-step explanation:

If x=3 then;

Hey there!

f(x) = 13(6)x

y = 13(6)x

y = 78(3)

y = 234

Therefore, your answer: f(x) = 234

OR

f(x) = 13(6)^x

y = 13(6)^x

y = 13(6)^3

y = 13(6 * 6 * 6)

y = 13(36 * 6)

y = 13(210)

y = 13(210)

y = 2,808

Therefore, your answer: f(x) = 2,808

EITHER OF THOSE SHOULD BE YOUR ANSWER!!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

6x9= what you can be slow

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Answer:

√21  or  4.58

Step-by-step explanation:

area of triangle can be found in different ways, and they are equal as:

1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)

(10x)²= (x²+3³)*(x²+7²)

x²= y

x²=21

x=√21 = 4.58

Answer:

89

Step-by-step explanation:

There are only 30 pages but last page number is 89.

The last page of the book would be with the number 89. For details, check the calculations below.

The number system is characterized as the arrangement or sequence in which the numbers are arranged in a mathematical order beginning from 0 in whole numbers.

In the given situation,

We know that,

Total pages available in the book = 30

And every third page is omitted from the book due to misprinting of the page numbers.

If we divided 90/3 = 30 pages are there. Hence, the last page would be 89 itself.

Thus, the above response is correct.

Learn more about "Numbers" here:

brainly.com/question/17429689

To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

For more questions on Percentage .

https://brainly.com/question/30637655

#SPJ8

As we can see in the image the segment that was removed is 90°, which implies 174 of the circle, therefore the area should be 3/4 of the total area. So:

So:

Now, the sector area has to be:

The answer is A. 147pi/4 mi^2.

In the following option n log n seems to grow the fastest amongst all according to the size of inputs.

In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.

In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.

Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.

1. n grows linearly with n, so it takes more time as the size of the input grows.

2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.

3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.

4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.

5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.

So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.

To learn more about algorithms click here:

brainly.com/question/27522570

#SPJ4

Answer:

-18 is an integer but not a whole number

Step-by-step explanation:

a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.

Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

Answer:

58.24

Step-by-step explanation:

9.1 x 6.4 = 58.2!!

bh = a

hope I helped

Answer:

58.24 :)

A=bh=9.1·6.4=58.24

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

My mom is a teacher lol

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

Learn more about inequality expression here: https://brainly.com/question/25275758

#SPJ1

Answer:

B. 40°

Step-by-step explanation:

I calculated it logically

Answer:45

Step-by-step explanation:

Answer:

y = 2x + 6

slope = 2

y intercept = 6