Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Answer:

3x = 6

Step-by-step explanation:

Combine:

6x + 5y =16

- (6x + 2y=10)

--------------------

     3y = 6, so that y = 2 (We weren't actually asked to find the solution.)

Answer:

3y-6

Step-by-step explanation:

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

Answer: [tex]x=-\frac{16}{3}[/tex]

Step-by-step explanation:

Given the equation [tex]3(x - 2) + 4x = 10(x+ 1)[/tex], you need to solve for the variable "x":

Apply Distributive property:

[tex]3x - 6 + 4x = 10x +10[/tex]

Add the like terms:

[tex]7x - 6= 10x+10[/tex]

Subtract 10 to both sides of the equation:

[tex]7x - 6-10= 10x +10-10\\\\7x-16=10x[/tex]

Subtract [tex]7x[/tex] from both sides:

[tex]7x-16-7x=10x-7x\\\\-16=3x[/tex]

And finally divide both sides by 3:

[tex]\frac{-16}{3}=\frac{3x}{3}\\\\x=-\frac{16}{3}[/tex]

Answer:

The equation y = 1 - 2x is represented by this table.

The correct answer is A.

Answer:

(m+5)(m^2-5m+25)

Step-by-step explanation:

x^3+y^3=(x+y)(x^2-xy+y^2)

x^3+125

x^3+5^3=(x+5)(x^2-5x+5^2)

x^3+5^3=(x+5)(x^2-5x+25)

So answer is

(m+5)(m^2-5m+25)

The factorized form of the given polynomial is (3x + 4)(3x - 4). Using one of the factorization methods of polynomial, the result is obtained.

Writing a polynomial as the product of its factors (monomial, binomial or and so on) is called the factorization of the polynomial.

There are different methods of factorization. Some of them are the grouping method, GCF method, the difference of squares method, etc.

The given polynomial is  [tex]9x^2-16[/tex]

Using the difference of squares method we can write the given polynomial as

[tex]9x^2-16 = (3x)^2-(4)^2[/tex]

We know that difference between any two squares is

[tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]9x^2-16[/tex] = (3x + 4) (3x - 4)

Therefore, the factors of the given polynomial are (3x + 4) and (3x - 4).

Learn more about the factorization of polynomials here:

https://brainly.com/question/11434122

#SPJ2

Answer:

A. 3x - 1 + [3x - 1]⁻¹

Step-by-step explanation:

Use Polynomial Long Division to arrive at this answer.

**[3x - 1]⁻¹ = 1\[3x - 1]

Answer:

The correct answer is last option (6x)² - (5)²

Step-by-step explanation:

It is given an expression in variable x,

36x² - 25

To find the equivalent expression of  36x² - 25

We have, 36 = (±6)²  and 25 = (±5)²

36x² - 25 can be written as,

36x² - 25 = (±6x)² - (±5)²

From the given options we get the correct answer is last option

(6x)² - (5)²

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{BD}{CD}[/tex] = [tex]\frac{AD}{BD}[/tex]

Substitute values

[tex]\frac{h}{16}[/tex] = [tex]\frac{9}{h}[/tex] ( cross- multiply )

h² = 16 × 9 = 144 ( take the square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12 → D

Answer:

[tex]\large\boxed{\dfrac{13}{20}=0.65}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\dfrac{13}{20}=\dfrac{13\cdot5}{20\cdot5}=\dfrac{65}{100}=0.65\\\\\bold{METHOD\ 2}\\\\\dfrac{13}{20}=13:20\qquad\text{use the calculator or long division}\\\\=0.65[/tex]

Hello There!

[tex]\frac{13}{20}=0.65[/tex]

13÷20≈0.65

Answer:

10

Step-by-step explanation:

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

Why?

Because if you translate something, you are only moving it somewhere else. You aren't stretching the shape or making any modifications. You are simply moving it, and that will only change the coordinates the points will be at.

The length of A1B1 is 10.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

Given

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

To know more about translation refer to :

https://brainly.com/question/12861087

#SPJ2

Final answer:

To find the garden's width, factor the area trinomial to match the given length of the garden. The width is represented by the other factor, which in this case is g - 6.

Explanation:

The area of a garden is given by the trinomial [tex]g^2[/tex] - 2g - 24, and the garden's length is g + 4. To find the garden's width, we need to factor the trinomial such that it is the product of two expressions, one of which must be the length (g + 4).

Factoring [tex]g^2[/tex] - 2g - 24, we look for two numbers that multiply to -24 and add up to -2. These numbers are -6 and +4. So, we can factor the area trinomial as:

(g - 6)(g + 4) = [tex]g^2[/tex] - 2g - 24.

Since the length of the garden is g + 4, the other factor, g - 6, must represent the width of the garden. Thus, the garden's width is g - 6.

i need a picture if im going to help

The intersection of lines M and T is the point where the lines meet or cross over each other.

To find the intersection, solve the system of equations formed by the two lines. Once you have the coordinates of the intersection point, name it accordingly.

The intersection of two lines, M and T, is the point where the two lines meet or cross over each other.

To find the intersection, we need to determine the coordinates of the point where the lines M and T intersect.

We can find the intersection by solving the system of equations formed by the equations of the two lines.

The system of equations will have two variables (x and y) and we can solve for their values.

Once we have the coordinates of the intersection point, we can name it accordingly.

For example, if the intersection point has coordinates (3, 4), we can name it as point P(3, 4).

https://brainly.com/question/32797114

#SPJ2

[tex](x-1)(x-3)=x^2-3x-x+3=x^2-4x+3[/tex]

Answer:

0.03

Step-by-step explanation:

First you should find what is 20% of 2

This can be written as ;

[tex]=\frac{20}{100} *2=\frac{40}{100}\\ \\\\=\frac{40}{100} =0.4[/tex]

Let now find 3/7

[tex]\frac{3}{7} =0.4285\\\\\\=0.43[/tex]

Get the difference in the values

[tex]0.43-0.40=0.03\\\\\\[/tex]

You can see 3/7 is 0.03 larger than 20% of 2.

Answer:

Step-by-step explanation:

y=6x-2

y=6x-4

6x - 2 = 6x - 4

6x -6x = -4+2

0 = -2  ....false

no solutions

Answer:

Measure of central tendency (center)

it is called median

Answer:

5/9(F-32) = C

Step-by-step explanation:

F= 9/5C+32

Subtract 32 from each side

F-32= 9/5C+32-32

F-32 = 9/5 C

Multiply each side by 5/9 to isolate C

5/9(F-32) = 5/9*9/5 C

5/9(F-32) = C

Final answer:

To convert Celsius to Fahrenheit, multiply the Celsius temperature by 9/5 (or 1.8) and then add 32. For example, to convert 20 degrees Celsius to Fahrenheit: (9/5) * 20 = 36, and then add 32 to get 68 degrees Fahrenheit.

Explanation:

To solve the formula for converting temperature from degrees Celsius (C) to degrees Fahrenheit (F), you start with the given equation:

F = [tex]\frac{9}{5}[/tex]+ 32

This equation allows you to convert a temperature from Celsius to Fahrenheit by multiplying the Celsius temperature by 9/5 (or 1.8) and then adding 32. The formula reflects the fact that the Fahrenheit scale has a freezing point at 32 degrees higher than the Celsius scale's freezing point, and that each degree Celsius is equivalent to 1.8 degrees Fahrenheit. Here's a step-by-step explanation to convert Celsius to Fahrenheit:

Multiply the Celsius temperature by 9/5.

Add 32 to the result of this multiplication to get the temperature in Fahrenheit.

For instance, to convert 20 degrees Celsius to Fahrenheit:

(9/5) * 20 = 36

36 + 32 = 68 degrees Fahrenheit.

Hence, 20 degrees Celsius is equal to 68 degrees Fahrenheit when you apply the temperature conversion formula.

Answer:

isosceles because only two sides are equal

Answer:

A

Step-by-step explanation:

2y=3x-4

4=3x-2y

3x-2y=4

Answer: (8, -7)

Step-by-step explanation:

Answer:

(8,-7)

Step-by-step explanation:

[tex]\frac{4}{7}/\frac{-3}{8}[/tex]

With division when using fraction the first fraction stays the same, but you will switch the division sign to multiplication and you will take the reciprocale (flip the numerator and denominator) of the second fraction like so...

[tex]\frac{4}{7}*\frac{-8}{3}[/tex]

Now you can multiply normally:

[tex]\frac{4*(-8)}{7*3}[/tex]

[tex]\frac{-32}{21}[/tex] <<<This is your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

A. 236

B. 164

Step-by-step explanation:

18% of 200= 36

200+36=236

200-36=164

Answer:

A. 236

B. 164

Step-by-step explanation:

To solve it first you need to find what 18% of 200 is. To do that take the 18% and make it a decimal % is out of 100, so 18/100 = .18. Then to find how much 18% out of 200 is, multiply .18 * 200. You should get 36. Then you can add and subtract that from 200 to get 18% more and 18% less.

Answer:

My mom drives about 120 miles, grandpa: 160, and dad: 200

Step-by-step explanation:

Answer:

My dad drives about 80

Step-by-step explanation:

He only goes shopping and takes me to school.

Answer:

simple random

In a simple random sample, individuals all have an equal chance of being selected, ensuring unbiased and representative data. Thus, option a. is correct.

In a simple random sample, individuals all have an equal chance of being selected, and all samples have an equal chance of being selected. This method ensures that each member of the population is equally likely to be chosen, resulting in unbiased and representative data.

Other sampling methods like cluster sampling and stratified sampling do involve randomness but in different ways. For instance, cluster sampling involves selecting entire clusters, such as departments or geographical areas, at random and including all members from those clusters in the sample.

In contrast, stratified sampling involves dividing the population into strata based on characteristics and then randomly sampling from each stratum.

Thus, option a. simple random sample is correct.

Answer:

Option b: 6√3

Step-by-step explanation:

Given expression is:

[tex]\sqrt{36*3}[/tex]

We have to factorize the radicand in order to solve the given radical

So,

[tex]= \sqrt{3*3*2*2*3}[/tex]

In order to solve the square root pairs are made:

[tex]=\sqrt{2^2 * 3^2 * 3}[/tex]

To evaluate the square root, the exponents are multiplied by 1/2

[tex]= 2^{(2*\frac{1}{2})} *3^{(2*\frac{1}{2})} * 3^{(\frac{1}{2})}\\=2*3*\sqrt{3} \\=6\sqrt{3}[/tex]

Hence, option b is correct ..

Answer: b

Step-by-step explanation: b

inal answer:

To calculate the reimbursement rate per gallon, multiply the total miles traveled by all employees by the average gas mileage and divide the total reimbursement amount by the total gallons used, resulting in a rate of $1.40 per gallon.

Explanation:

To find the rate in dollars per gallon that the company uses to reimburse employees, we need to calculate the total gallons of gas consumed and then divide the total amount paid out by the total gallons used.

The average employee traveled 12,250 miles, and the average gas mileage was 22.5 miles per gallon:

Total miles for all employees: 126 employees × 12,250 miles/employee = 1,543,500 miles.

Total gallons consumed: 1,543,500 miles ÷ 22.5 miles/gallon = 68,600 gallons.

Rate of reimbursement per gallon: $96,040.00 ÷ 68,600 gallons ≈ $1.40 per gallon.

Therefore, the reimbursement rate is $1.40 per gallon.

Final answer:

The reimbursement rate in dollars per gallon is calculated by determining the total gallons of gas used by all employees and then dividing the total reimbursement amount by this figure. The computation shows a reimbursement rate of $1.40 per gallon.

Explanation:

To determine the rate in dollars per gallon that the company uses to reimburse employees, we need to calculate the total gallons of gas used by the average employee and then find out how much the company paid per gallon.

Thus, the correct answer is C) $1.40 per gallon.

Answer:

x= 1, -2/3

Step-by-step explanation:

Answer:

G(2+h)=3(2+h)^3

Step-by-step explanation:

We need to put the value of the required digit , we have to find the value of . So go on solving and you will get your answer.

Answer:

Im pretty sure its answer d hope that helped

Step-by-step explanation:

D. f(x) = 5*.

The derivative of a function may be used to determine whether the function is increasing or decreasing at any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Learn more about function here:  https://brainly.com/question/1503051

#SPJ2

The answer is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

From the statement we know that the volume of the block is given by the following expression:

[tex](x+8)(x-3)(2x-5)[/tex]

We also know that we can calculate the volume of a block using the following equation:

[tex]Volume=AreaOfTheBase*Height[/tex]

So, from the given picture we know that:

[tex]AreaOfTheBase=Length*Width=(x+8)(x-3)\\Height=2x-5[/tex]

Hence, we have that the correct option is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

Have a nice day!