Simplify: 6(5x - 2) - (3x - 4)​

in order to find the answer to your questions you need to find the value

Example:

y+10=18

y=8

The product of the three integers 5, -2, and -1,which is 10 (Point D) .

A number line is defined as a straight line with evenly spaced integers drawn horizontally.

Integers include natural numbers, 0, and the negative of natural numbers.

You are given three numbers: 5, -2, and -1. We need to find the product of these three numbers.

When multiplying integers, negative multiplies negative and positive multiplies positive. If one number is negative and the other is positive, the result is negative.

(5)(-2)(-1) = (5×-2)(-1)

= (-10) (-1)

= 10

So the product of the three integers 5, -2, and -1 is 10, which is marked as point D on the number line.

Your question is incomplete but most probably your full question was:

Which point on the number line represents the product (5) (negative 2) (negative 1)?

A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.

Point A

Point B

Point C

Point D

Learn more about number line at

https://brainly.com/question/16191404

#SPJ1

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

To know more about null hypothesis, here

https://brainly.com/question/14016208

#SPJ4

a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

Learn more about Function click here :brainly.com/question/572693

#SPJ11

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

To learn more about the right trianglefrom the given link

brainly.com/question/29869536

#SPJ4

Answer:

ur ans is B) 96mm

Step-by-step explanation:

If it's ok...PLZ mark it as brainliest

Answer: Children = 108

Adult = 52

Step-by-step explanation:

Let x = number of children

Let y = number of adult

Based on the information given, we can form an equation which will be:

x + y = 160 ........ i

2x + 5y = 476 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 320 ....... iii

2x + 5y = 476 ........ iv

Subtract iii from iv

3y = 156

y = 52

Number of adults = 52

Since x + y = 160

x + 52 =160

x = 160 - 52

x = 108

Number of children = 108

Answer:

Step-by-step explanation:

tru i took the test

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

Read more about greatest common divisor at; https://brainly.com/question/14526360

#SPJ11

Answer: x=7\(\sqrt{3}\) and y = 14

Step-by-step explanation:

Answer:

178.125

Step-by-step:

142.50$ + 25% = 178.125$

The original price was 178.125$.

The probability that at least 4 out of 7 customers will order a nonalcoholic beverage is approximately 0.77696 or 77.696%. To find the probability that at least 4 customers out of a sample of 7 will order a nonalcoholic beverage, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- P(X = k) is the probability of getting exactly k successes,

- C(n, k) is the number of combinations of n items taken k at a time (also known as "n choose k"),

- p is the probability of success on a single trial,

- n is the total number of trials.

In this case, we want to calculate the probability of getting 4, 5, 6, or 7 customers ordering a nonalcoholic beverage. So we need to calculate the individual probabilities for each case and then sum them up.

Let's assume that the probability of a customer ordering a nonalcoholic beverage is p = 0.7 (you can change this value based on your specific scenario). The probability of not ordering a nonalcoholic beverage would be q = 1 - p = 0.3.

Now, let's calculate the probabilities:

P(X = 4) = C(7, 4) * (0.7)^4 * (0.3)^(7-4)

P(X = 5) = C(7, 5) * (0.7)^5 * (0.3)^(7-5)

P(X = 6) = C(7, 6) * (0.7)^6 * (0.3)^(7-6)

P(X = 7) = C(7, 7) * (0.7)^7 * (0.3)^(7-7)

Finally, the probability of at least 4 customers ordering a nonalcoholic beverage is the sum of these probabilities:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

To calculate the final probability, we need to calculate each individual probability and sum them up. Let's assume that the probability of a customer ordering a nonalcoholic beverage is p = 0.7.

Using the binomial probability formula, we can calculate the probabilities:

P(X = 4) = C(7, 4) * (0.7)^4 * (0.3)^(7-4)

        = 35 * (0.7)^4 * (0.3)^3

        ≈ 0.32413

P(X = 5) = C(7, 5) * (0.7)^5 * (0.3)^(7-5)

        = 21 * (0.7)^5 * (0.3)^2

        ≈ 0.30252

P(X = 6) = C(7, 6) * (0.7)^6 * (0.3)^(7-6)

        = 7 * (0.7)^6 * (0.3)^1

        ≈ 0.12106

P(X = 7) = C(7, 7) * (0.7)^7 * (0.3)^(7-7)

        = 1 * (0.7)^7 * (0.3)^0

        ≈ 0.02825

Finally, the probability of at least 4 customers ordering a nonalcoholic beverage is the sum of these probabilities:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

         ≈ 0.32413 + 0.30252 + 0.12106 + 0.02825

         ≈ 0.77696

Therefore, the probability that at least 4 out of 7 customers will order a nonalcoholic beverage is approximately 0.77696 or 77.696%.

Learn more about probability here:

brainly.com/question/31828911

#SPJ11

Complete the table:
x   7.9   7.99  7.999  8   8.001  8.01  8.1
f(x)  -1.2226  -1.0500  -0.8775  -0.7051  -0.5326  -0.3602  -0.1877
Use the result to estimate the limit: As x approaches 8, the value of f(x) approaches -0.7051. This means that the limit of x-8/(x^2 - 9x + 8)x as x approaches 8 is -0.7051.

Use a graphing utility to graph the function to confirm your result: Using a graphing utility, such as Desmos, we can graph the function and observe that as x approaches 8, f(x) approaches -0.7051. This confirms that the limit of x-8/(x^2 - 9x + 8)x as x approaches 8 is -0.7051 (rounded to four decimal places).
The limit of x-8/(x^2 - 9x + 8)x as x approaches 8 can be estimated by looking at the values of f(x) as x approaches 8 in the table. The limit can also be confirmed using a graphing utility, such as Desmos. By graphing the function, we can observe that as x approaches 8, f(x) approaches -0.7051, and therefore, the limit is -0.7051 (rounded to four decimal places).

To know more about graphing utility refer here:

https://brainly.com/question/29260419

#SPJ11

Answer:

\({ \tt{ | |3x - 4| - 5 | > 1 }} \\ \\ { \tt{ |3x - 4| > 1 ±5}}\)

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

\({ \tt{ |3x - 4| > 6 \: \: or \: \: - 4}}\)

→ for |3x - 4| > 6:

\({ \tt{ |3x - 4| > 6}} \\ \\ { \tt{3x > 6±4}} \\ \\ { \boxed{ \tt{ \: x = \frac{10}{3} \: \: or \: \: \frac{2}{3} }}}\)

→ for |3x - 4| > -4:

\({ \tt{ |3x - 4| > - 4}} \\ \\ { \tt{3x > - 4±4}} \\ \\ { \boxed{ \tt{ \: x > 0 \: \: or \: \: - \frac{8}{3} }}}\)

Answer:

m<2=133°

Step-by-step explanation:

180-47=133

Hope this helps! :)

Answer:

Step-by-step explanation:

Since the 2 angles add up to 180°

We can subtract 47 from 180

180-47=133

The Measure Of Angle 2 is 133°.

Hope this helps!!!!

Have a great day!!!!

The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

Learn more on fraction on https://brainly.com/question/17220365

#SPJ4

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

Learn more about the equation of the plane on

https://brainly.com/question/27190150?referrer=searchResults

#SPJ4

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

The length of JK  is equal to 26.

Since quadrilateral JKMN is a rectangle, opposite sides are equal in length. Therefore, JK is equal to NM.

So, we can set up the equation:

x^2 + 1 = 8x - 14

To solve for x, we need to move the terms around:

x^2 - 8x = -14 - 1
x^2 - 8x = -15

Next, we can set the equation equal to zero:

x^2 - 8x + 15 = 0

Now, we can factor the quadratic equation:

(x - 5)(x - 3) = 0

Setting each factor equal to zero, we get:

x - 5 = 0 or x - 3 = 0

Solving for x, we have:

x = 5 or x = 3

Since JK represents a length, we can discard the negative value of x.

Therefore, JK = x^2 + 1 = (5)^2 + 1 = 25 + 1 = 26.

To know more about length  refer here:

https://brainly.com/question/24513239

#SPJ11

The correct option is the first one, the leading coefficients are opposites.

A general quadratic function is written as:

y = ax² + bx + c

The leading coefficient is a.

Here we have two quadratics, these are:

f(x) = ax² + bx + c

g(x) = kx² + jx + n

Notice that in the graph of (f + g)(x), we have a line instead of a quadratic, so the quadratic term is zero, this means that:

a + k = 0

a = -k

Then the leading coefficients are opposites, the correct option is the first one.

Learn more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.

First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].

This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.

Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.

This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To know more about theorem click here

brainly.com/question/30242664

#SPJ11

Answer:

2x - y = -4

Step-by-step explanation:

y-2=2(x+1)

y - 2 = 2x + 2

2x + 2 = y - 2

2x - y + 2 = -2

2x - y = -4

So, the answer is 2x - y = -4

a) The volume of the box (in cubic inches) when the cutout length is 0.8 inches can be represented using function notation as f(0.8).

b) The volume of the box (in cubic inches) when the cutout length is 1.2 inches can be represented using function notation as f(1.2).

c) The change in volume of the box (in cubic inches) when the cutout length increases from 0.8 inches to 1.2 inches can be represented using function notation as f(1.2) - f(0.8).

d) The change in volume of the box (in cubic inches) when the cutout length increases from 5.6 inches to 5.7 inches can be represented using function notation as f(5.7) - f(5.6).

To know more about  volume refer here

https://brainly.com/question/28058531#

#SPJ11

Answer:

The ratio for this problem is 9 : 100

Step-by-step explanation:

Enjoy

\(\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark\)

~

\( \dfrac{\frak{LoveYourselfFirst}}{:)}\)

The answer is Numeric.

What measurement scale is this?

There are mainly two types of variables

Numerical(quantitative): observations that can be measured in numerical form

Agin two types: ratio scale and interval scale

Categorical(qualitative ): named categories

Again two types: Ordinal or nominal

Her in the given an example,

Measured time of race have  numerical observations

The measurement scale is Numeric.

To learn more about Numeric, refer to:

brainly.com/question/557206

#SPJ4