Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4

The equivalent expressions to 5x + 30x - 15x are given as follows:

A) 5x(1 + 6 - 3).

B) 5(x + 6x - 3x).

C) (5 + 30 - 15)x.

Equivalent expressions are expressions that have the same result when they are simplified as much as possible.

The expression for this problem is given as follows:

5x + 30x - 15x

Combining the like terms, the result is given as follows:

35x - 15x = 20x.

Hence the equivalent expressions are given as follows:

A) 5x(1 + 6 - 3) = 5x + 30x - 15x = 20x.

B) 5(x + 6x - 3x) = 5x + 30x - 15x = 20x.

C) (5 + 30 - 15)x = 5x + 30x - 15x = 20x.

More can be learned about equivalent expressions at https://brainly.com/question/15775046

#SPJ1

Answer:

\(\frac{2}{-3}\)

Step-by-step explanation:

Slope is the change in y over the change in x

(9,8) (6,10)

The y values are 10 and 8.  You find the change by subtracting these values

10-8 = 2  this is the numerator of your fraction.

(9,8) (6,10)

The x values are 6 and 9.  You find the change by subtracting these values.

6-9 = -3  this is the denominator of your fraction.

Slope is \(\frac{2}{-3}\)

Answer:

0.18

Step-by-step explanation:

Answer:

Number 1. He will need $28.

Step-by-step explanation

7 times 4 is 28.

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

Which polynomial is a monomial?

O A. 2p-P

O B. 6 - 2x2 - 4x2 +45

O c. 5r283A

O D. 1 - 2x + 5x

. 5r283A

Answer:

It should be 6 because 6x6 is 36

Answer:

Step-by-step explanation:

fractions are division so just divide 36 by 6 and you will get 6 which is your answer

36/6 =

36 : 6 =

6

Answer:

we can only answer your question

Step-by-step explanation:

The slope of a line perpendicular to the given line is -6/5.

To find the slope of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the original line.

The given equation is:

10x - 12y = -24

To find the slope of this line, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, we can subtract 10x from both sides:

-12y = -10x - 24

Then, we can divide both sides by -12 to isolate y:

y = (5/6)x + 2

Therefore, the slope of the original line is 5/6.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of 5/6. The negative reciprocal is -6/5.

Therefore, the slope of a line perpendicular to the given line is -6/5.

Learn more about slope-intercept form here :

brainly.com/question/29146348

#SPJ4

Answer:

1. x < −6

2. x < 3.2

3. x < 4

4.  x>12.5

5. ? there is no "<, >" sign

6. b<5

7.  z<−2.1

pls give brainliest

Step-by-step explanation:

see photos for explanation

Answer:

5⁻³

Step-by-step explanation:

The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.

In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.

To learn more about quantitative, visit:

https://brainly.com/question/14810759#

#SPJ11

Answer:

2 times the difference of x minus 7 plus 10

Step-by-step explanation:

When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer:

\( \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}\)

Step-by-step explanation:

\( \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}\)

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒\( \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}\)

Collect like terms

⇒\( \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}\)

⇒\( \sf{ - 2 {x}^{2} + 8x - 10}\)

Hope I helped!

Best regards!!

the answer is 975

Step-by-step explanation:

find out what 1.3% of 2500 then multiply it by 30

Answer:

._.

Step-by-step explanation:

If she has money, she gets stuff. If she broke, doesn't work/help, and expects another person to buy it for her, she ain't gonna get anything. Either way, she better work for that perfume.

Answer:

h*ll yes theyre still human i dont know why people care about that stuff

Step-by-step explanation:

if they deserve it then who cares

Answer:

-5

Step-by-step explanation:

2x-8=7-5x

collect like terms

2x-5x=7+8

-3x=15

x=15/-3

x=-5

Answer: The value of x is -5.

Step-by-step explanation:

As we know that LHS = RHS,

By bringing the constants to one side and variables to one side,the question can be solved.

Given in the question

2x-8 = 7+5x

on bringing variables to LHS,

2x-5x = 8+7

-3x = 15

x=(-15)/3 = -5

Hence the value of x is -5.

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

================================================

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

The given boundary-value problem can be solved using the method of variation of parameters. the solution to the given boundary-value problem is у(x) = -e2x + 2e4x.

First, we need to find a particular solution of the homogeneous equation y" - 8y' + 16y = 0, which is yp(x) = c1e2x + c2e4x, where c1 and c2 are constants.

To find the particular solution, we can use the given boundary conditions y(0) = 1 and y(1) = 0. We solve for c1 and c2, and we get c1 = -1 and c2 = 2.

So, the particular solution is yp(x) = -e2x + 2e4x. The general solution of the boundary-value problem is then:
у(x) = c1e2x + c2e4x -e2x + 2e4x
= c1e2x + (c2 + 2)e4x.

By using the boundary conditions, we can find the value of c1 and c2:
у(0) = c1 + c2 + 2 = 1
у(1) = c1e2 + (c2 + 2)e4 = 0

Solving these two equations, we get c1 = -1 and c2 = 2.
Therefore, the solution to the given boundary-value problem is
у(x) = -e2x + 2e4x.

You can read more about parameters at https://brainly.com/question/29344078

#SPJ11

Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Answer:

5 x 5 per face x 18 faces = 450 cm

Step-by-step explanation:

Answer:

\(\sf x^3+6x^2+12x+8\)

step-by-step explanation:

\(\rightarrow \sf \left(x+2\right)^3\)

apply cubic formula:  \(\bold{ \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}\)

\(\rightarrow \sf x^3+3x^2 * \:2+3x * \:2^2+2^3\)

\(\rightarrow \sf x^3+6x^2+12x+8\)

a) The chance that both servers fail is 0.05% (or 0.0005). b) The chance that exactly one of the servers fails is 5.9%. c) The chance that at least one of the servers fails is 5.95%. d) The assumption that the two servers fail independently may not be entirely realistic in all scenarios.

To find the probabilities in this scenario, we can use the probabilities of the main server and backup server failing, assuming they fail independently.

Let's denote:

P(M) = Probability of the main server failing = 0.01 (1%)

P(B) = Probability of the backup server failing = 0.05 (5%)

a) To find the chance that both servers fail, we need to calculate the probability of the intersection (AND) of the events:

P(both servers fail) = P(M) * P(B) = 0.01 * 0.05 = 0.0005 (0.05%)

b) To find the chance that exactly one of the servers fails, we can calculate the probability of the union (OR) of the mutually exclusive events:

P(exactly one server fails) = P(M) * (1 - P(B)) + (1 - P(M)) * P(B)

= 0.01 * (1 - 0.05) + (1 - 0.01) * 0.05

= 0.01 * 0.95 + 0.99 * 0.05

= 0.0095 + 0.0495

= 0.059 (5.9%)

c) To find the chance that at least one of the servers fails, we can calculate the probability of the complement (NOT) of both servers being operational:

P(at least one server fails) = 1 - P(both servers work)

= 1 - (1 - P(M)) * (1 - P(B))

= 1 - (1 - 0.01) * (1 - 0.05)

= 1 - 0.99 * 0.95

= 1 - 0.9405

= 0.0595 (5.95%)

d) The assumption that the two servers fail independently might not be entirely realistic in all scenarios. Factors such as shared infrastructure, common vulnerabilities, or external factors can introduce dependencies between the failure probabilities of the servers. If there are dependencies or shared factors that could cause correlated failures, the assumption of independence becomes less realistic.

To know more about chance,

https://brainly.com/question/26650929

#SPJ11

Answer:

50

Step-by-step explanation:

only that answer please correct✌️

To show that each function is O(x^2) using the Definitional proof, we need to find a constant c and a positive number k such that |f(x)| ≤ c|x^2| for all values of x greater than some value k.

(a) For function f(x) = x:

We need to find a constant c and k such that |x| ≤ c|x^2| for all x > k.

Let's choose c = 1 and k = 1.

|f(x)| = |x| ≤ 1 * |x^2| for all x > 1.

Therefore, f(x) = x is O(x^2).

(b) For function f(x) = 9x + 5:

We need to find a constant c and k such that |9x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 14 and k = 1.

|f(x)| = |9x + 5| ≤ 14 * |x^2| for all x > 1.

Therefore, f(x) = 9x + 5 is O(x^2).

(c) For function f(x) = 2x^2 + x + 5:

We need to find a constant c and k such that |2x^2 + x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 8 and k = 1.

|f(x)| = |2x^2 + x + 5| ≤ 8 * |x^2| for all x > 1.

Therefore, f(x) = 2x^2 + x + 5 is O(x^2).

(d) For function f(x) = 10x^2 + log(x):

We need to find a constant c and k such that |10x^2 + log(x)| ≤ c|x^2| for all x > k.

Let's choose c = 11 and k = 1.

|f(x)| = |10x^2 + log(x)| ≤ 11 * |x^2| for all x > 1.

Therefore, f(x) = 10x^2 + log(x) is O(x^2).

In each case, we have found a constant c and a value k such that the inequality |f(x)| ≤ c|x^2| holds for all x greater than k. This satisfies the definition of f(x) being O(x^2).

To learn more about function click here:

brainly.com/question/30721594

#SPJ11

Answer: 11 x - 11 y

Step-by-step explanation: 11 (x - y) 11 x - 11 y

Answer:

(625 - 121)(625 + 121)

Step-by-step explanation:

625² - 121² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

625² - 121²

= (625 - 121)(625 + 121) ← in factored form