Mathematics High School

Solve the following quadratic equation
(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17

Answers

Answer 1
the answer is A. x=19 and x=17
Answer 2

To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:

Taking the square root of both sides gives us:

x - 18 = ±√1

Simplifying the square root of 1, we have:

x - 18 = ±1

Now, let's solve for x by considering both the positive and negative cases:

Case 1: x - 18 = 1

Adding 18 to both sides:

x = 1 + 18

x = 19

Case 2: x - 18 = -1

Adding 18 to both sides:

x = -1 + 18

x = 17

Leading to our final correct answer is:

A. x = 19 and x = 17

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Related Questions

having trouble with fractions
z-2/5=1/3​

Answers

Answer:

z=11/15

Step-by-step explanation:

z=1/3+2/5=1x5/15+2x3/15=5/15+6/15=11/15

how do i Solve 5p + 7 = 22

Answers

Answer:

p = 3

Step-by-step explanation:

22 - 7 = 15

5p = 15

p = 15 ÷ 5 = 3

22 - 7 = 15
5p divided by 15 = 3
P = 3

simplify (12x^3-8x^2)-(3x^3+9x^2+x-7)

Answers

Answer: 9x3-17x2-x+7

Robert joins a gym and pays a 25 application fee he pays 10 a month for 1 year how much money in total does Robert spend on gym fees for entire year

Answers

Answer:

$145

Step-by-step explanation:

10×12=120+25=145

pls answer correctly or u get rPoRtEd

Answers

Answer:

no answers yet

Step-by-step explanation:

what kind of line is y =-x?





key word

dnt take school seriously

Answers

Answer:

Negative line/slope

Step-by-step explanation:

Slope format: y = mx + b

If the slope (mx) is negative, then the slope of the line is negative

What is the slope of the line described by the data in the table below?
Х
-4
0
4
8
y
3
8
13
18

Answers

Given:

The table of values is:

x      y

-4     3

0     8

4     13

8     18

To find:

The slope of the line that described by the data in the table.

Solution:

Consider any two points from the given table.

Let the two points are (0,8) and (4,13). So, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{13-8}{4-0}[/tex]

[tex]m=\dfrac{5}{4}[/tex]

[tex]m=1.25[/tex]

Therefore, the slope of the line described by the data in the table is 1.25.

. Evaluate: y − (z + z^2); use y = 10, and z = 2

Answers

the answer is 4 because you use order of operations

The value of y varies inversely with x, and y=-2 when x=4

What is the equation?

Answers

It’s the second option : y = -1/2 x


y = -1/2 x

(-2) = -1/2 (4)

-2 = -4/2

-2 = -2
Yesss -2= -2 yu welcome

Nora bought a car last year so that she could drive to work after school. She spent $250 last year for gas. This year she spent $295.

Disregarding other factors, what is the inflation rate?


18%

19%

20%

21%

PLEASE HELP ASAPPP THIS IS QUESTION 30

Answers

The answer is 18% because 250x18% is 45 which is 45 away from 295

If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is

Answers

Step-by-step explanation:

g(fx)=g(3x+5)

= (3x+5)²+1

David invested $220 in an account paying an interest rate of 1.7%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest ten dollars, would be in the
account after 10 years?

Answers

Answer:

260 dollars

Step-by-step explanation:

The amount after  10 years will be $260.

What is compound interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given amount invested = $220

rate = 1.7% compounded annually

time = 10 years

the amount is  given by

A = p[tex](1 + \frac{r}{n} )^{nt}[/tex]

r = 1.7% = 0.017

n = 1 for compounded annually

t = 10 years

p = $220

A = 220(1 + 0.017)¹⁰

A = $260.39

A = $260

Hence the amount is $260.

Learn more about compound interest;

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Ryan has 8 kittens. Two are white. what fraction of the kittens are not white? Write in simplest form. I will brainliest

P.S. (This is for my little sister)

Answers

Answer:

3/4

Because 6 are not white so 6/8 and divide each by 2

6 divided by 2 = 3

8 divided by 2 = 4

= 3/4

Step-by-step explanation:

Hope this helps her!!!

The whole is 8 kittens, and we know 2 are white. If you subtract 8-2, you’ll get 6. Therefore, 6/8 (6 out of 8) kittens are not white.

jordan invested $1,000 ina savings account. The interest rate is 6% per year. Find the simple interest earned in 4 years. Then find the total of principal plus interest.​

Answers

Answer:

sorrry man dk

Step-by-step explanation:

Which expression is equivalent to 5 - 3(x + 2)?

Answers

Answer:

2x+4

Step-by-step explanation:

5-3(x+2)

2(x+2)

2x+4

TAS
NOT
SCAL
B
58°
A, B, C and D are points on the circumference of the circle, centre O.
DOB is a straight line and angle DAC = 58°.
Find angle CDB.

Answers

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

A printer can print 25 pages in a minute. Which inequality shows the number of minutes, n, the printer takes to print more than 250 pages?
Group of answer choices

Answers

Answer:

What are the answers?

Step-by-step explanation:

because the ratio is 25:1 aka 25 pages: 1 minute

What would the answer be?​

Answers

Answer:

11.35%  

Step-by-step explanation:

Add all of the numbers together to get the total amount of people who visited.

Add all the numbers in the teen section to find how many teens visited.

If you put teens over whole it will give you the fraction 86/758

If you divide 86 by 758 you will get 0.11345646438 .

Move the decimal two places to the right and round to get the percent 11.35.

the graph shows how much you and your friend each earn while mowing lawns

Answers

Answer:

what graph ? i do not see one

Step-by-step explanation:

A triangular road sign has a height of 3 feet and a base of 2.5 feet. How much larger in area is this sign than one with a height of 2.5 feet and a base of 3 feet?

Answers

Answer:

Not larger or smaller; the areas are the same

Step-by-step explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

In the first case, h = 3 ft and b = 2.5 ft.  This results in an area of 3.75 ft^2.

In the second case, h = 2.5 ft and b = 3 ft.  The area is the same:  3.75 ft^2.

This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h  are used as multipliers.

There is no difference in the areas of the two signs.  The areas are the same.

PLS HELP I'LL GIVE THE BRAINLEST
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each equation to the line of best fit that it models.
y=4/7x+2
y=x+2
y=-x+2
y=-1/7x+2
y=1/7x+2
​

Answers

Answer:

first box    y=4/7x+2

second box y=-1/7x+2

thrid box y=x+2

4th box y+1/7x+2

Step-by-step explanation:

The equation of the line of best fit that it models. y = 4/7x + 2, y = -1/7x + 2, y = x + 2 and y +1/7x + 2.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The tiles to the correct boxes to the pairs.

The equation of the line of best fit that it models.

First box   y = 4/7x + 2

Second box y = -1/7x + 2

Thrid box y = x + 2

Fourth box y +1/7x + 2

Learn more about linear equations;

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A box plot is also known as a scatterplot.
O A. True
O B. False

Answers

B. False

(Box plot is different from a scatter plot)

Can you abstractly square the number, "0" ?

Answers

Answer: No, you cannot.

Step-by-step explanation: A square number cannot be a perfect number.

The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.

please help! thank you guys!!! :)

Answers

Answer:

B

Step-by-step explanation:

what is the volume of a right cylinder with a base diameter of 6m and a height of 5m

Answers

141.37 thats ur answer

I will go down on you at this point

Answers

How many t shirts does Jill want?


[tex] \frac{?}{32} = \frac{25}{100} [/tex]
fill in the blank​

Answers

32x25 = 800/100 = 8.
8 is your answer.

A candy dealer sells $0.05 and $0.10 candy bars. One day she sells 130 bars for
$9.00.
How many bars did she sell?

Answers

Answer:

did u just answer your own question

Step-by-step explanation:

The equation -3x + 7 = y represents the relationship between x, the time that a car drives in hours, and y, the distance the car drives in miles for car A. Identify the unit rate for this situation. <——————————————— Can someone help me on this please :/

Answers

Answer:

here... I want to help so if your real stuck, then use this app...

Step-by-step explanation:

https://photomath.app/en/

Problem ID: PRABEE2G

Solve:
14x+y=7
Write your answer in the following format:
with no spaces.

Answers

Answer:

x = 7/10; y = 21/5

Step-by-step explanation:

y = 6x

4x + y = 7

Since the first equation is already solved for y, we can easily use the substitution method. We substitute 6x for y in the second equation and solve for x.

4x + y = 7

4x + 6x = 7

10x = 7

x = 7/10

Now we use the first equation and substitute 7/10 for x and solve for y.

y = 6x

y = 6 * 7/10

y = 42/10

y = 21/5

Answer: x = 7/10; y = 21/5

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