Help me different one

The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x            (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                       (Addition property of order)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

−7 (3 + 8x) + 5x ≤ 1 − 62x

Now, Find the justification of each step in solving the inequality as;

The inequality is solve as,

−7 (3 + 8x) + 5x ≤ 1 − 62x

                                      (Given)

- 21 - 56x + 5x ≤ 1 − 62x

                                    (Distributive property)

- 21 - 51x ≤ 1 − 62x

                                    (Subtraction property of order)

- 21 + 11x ≤ 1

                                     (Addition property of order)

11x ≤ 22

                                     (Addition property of order)

x ≤ 2

                                     ( Division property of order )

Hence, The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x             (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                        (Addition property of order)

Learn more about the inequality visit:

https://brainly.com/question/24776529

#SPJ1

Answer: A, D, B

Step-by-step explanation:

Answer:A,B,D

yw :):):)

Answer:

56

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The GCF of 98 and 56 is 14

Answer: z = 23

Subtract 32 and 9, which equals 23

So your equation is 23 + 9 = 32

Step-by-step explanation:

Simplifying (4x)3 gives 64x3

Answer:

option B

Step-by-step explanation:

-2x^2(4x) -2x^2(-3)

= -8x^3+6x^2

7800  is  the value of each function after five years.

With an example, what is compound interest?

The formula is: A = P( 1 + r )ⁿ

r = 0.09

As here the value of the car depreciates every year, so we need to plug the value of  as negative. So,  - 0.09

Now plugging the above values into the formula, we will get

A = 12500 ( 1 - 0.09)⁵

A = 12500 * ( 0.91)⁵

A = 12500 *  0.6240321451

A =  7800.40181375  ≈ 7800

Learn more about compound interest

brainly.com/question/14295570

#SPJ4

Using algebraic expressions and equation, there are 26 kittens and 31 chickens in the yard.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Given that there are 57 kittens and chickens in the yard, we can express this as:

x + y = 57     ⇒     x = 57 - y     (equation 1)

where x = number of kittens

y = number of chickens

If a kitten has 5 claws on each of its 4 paws, and a chicken has 4 claws in each of its 2 feet, and they all have 768 claws, then

5(4)x + 4(2)y = 768     ⇒     20x + 8y = 768     (equation 2)

Substitute equation 1 to equation 2 and solve for y.

20(57 - y) + 8y = 768

1140 - 20y + 8y = 768

-12y = -372

y = 31

number of chickens = 31

Substitute the value of y in either of the two equations and solve for x.

x = 57 - y

x = 57 - 31

x = 26

number of kittens = 26

Learn more about algebraic expression and equation here: brainly.com/question/4344214

#SPJ4

Answer:

а)11/12 I believe the answer is correct

Step-by-step explanation:

your solution is written

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

Sequences can be generated by using recursive formulas, that is, formulas that are in terms of the previous elements of a sequence. Herein we find a case of sequences by using recurrence formulas, whose procedure is shown below:

n = 1

f(1) = 7

n = 2

f(2) = 2 · f(1) + 3

f(2) = 17

n = 3

f(3) = 2 · f(2) + 3

f(3) = 37

n = 4

f(4) = 2 · f(3) + 3

f(4) = 77

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

To learn more on recursive series: https://brainly.com/question/14965470

#SPJ1

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Input

(8 x^15)^(-1/3)

Value

1/(2 (x^15)^(1/3))

1/(2x^5)

More problems are in the link below.

https://brainly.com/question/21050698?referrer=searchResults

#SPJ4

Answer:

molly is baking cookies. she baked 45 cookies and she needs to put a certain amount in 5 different boxes so that way everyone has an equal amount. how much cookies need to be in each box

Step-by-step explanation:

Answer:Joe is feeding cows and he has 45lbs of grass and there are 5 cows how much does each cow get fed?

Step-by-step explanation:

Answer:

D is the correct answer!!

After adding the numbers from 1 to 10, we get the result as 55.

We are given the numbers from 1 to 10

We need to find the sum of the numbers.

Adding these numbers, we will get that:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= 3 + 7 + 11 + 15 + 19

= 10 + 26 + 19

= 29 + 26

= 55

Therefore, we get that, after adding the numbers from 1 to 10, we get the result as 55.

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ9

Answer:

I think there are 2 more ways the list could be written

Answer:

-13/18

Step-by-step explanation:

You have here a multiplication and a division in your expression. You need to multiply and divide in the order that they appear from left to right, according to the order of operations. So multiply first.

To multiply two fractions, you just multiply the top×top and bottom×bottom.

You could simplify it at this point but I waited to the end to simplify. See image.

Next, divide. If you have one or two fractions in a division problem, rewrite the division as a multiplication using Keep-Change-Flip! Keep the first term. Change divide to multiply. And Flip the second term (use the reciprocal is the math word for it.) See image.

Last, simplify.

Answer:

2/3.

Step-by-step explanation:

α + β + γ = -b/a

αβ + βγ + γ α = c/a

αβγ = -d/a

These are the relation between the roots α, β and γ and the coefficients of the cubic equation:

P(x) = ax^3 + bx^2 + cx + d  

Our equation is:

P(x) = 4x³ – x² − 6x + 9

So, for the above equation:

a + b + c = -(-1)/4 = 1/4

ab + ac + bc = -6/4 = -3/2

abc = -9/4.

1/a + 1/b + 1/c

= (bc + ac + ab) / abc

So, plugging in the above values:

this = (-3/2) / (-9/4)

= 3/2 * 4/9

= 12/18

= 2/3.

Answer and Step-by-step explanation:

Considering the definition of an disparity, the imbalance that can be utilized to decide x is 20x + 10≤ 80 Definition of inequality An imbalance is the existing disparity between two arithmetical expressions, associated through the signs: greater than >. less than <. less than or rise to to ≤. greater than or break even with to ≥. An disparity contains one or more obscure values ​​called questions, in expansion to certain known data. Solving an disparity comprises of finding all the values ​​of the obscure for which the disparity connection holds. This case A rental car company charges $20 per day to lease a car and $0.10 for each mile driven. Addison needs to lease a car, knowing that: She plans to drive 100 miles. She has at most $80 to spend. On the other hand, x speaks to the most extreme number of days Alyssa can manage to lease for whereas remaining inside her budget. Then, the disparity that can be utilized to decide x is: 20x + 0.1×100≤ 80 So: 20x + 10≤ 80 In rundown, the disparity that can

The simplify of the expression is [tex]7\sqrt{2} x^{4}[/tex].

The word simplifies manner to make something less complicated to do or understand. So, by lowering or simplifying the fractions method we make the fraction as simple as viable. We try this by dividing the numerator and the denominator by using the most important number which could divide into both numbers precisely.

to assess an algebraic expression manner to discover the fee of the expression while the variable is changed by way of a given variety. to evaluate an expression, we replace the given wide variety for the variable within the expression and then simplify the expression with the usage of the order of operations.

Whilst you simplify an expression, you are essentially seeking to write it in the handiest manner possible. at the give-up, there should not be any extra including, subtracting, multiplying, or dividing left to do.

⇒ [tex]\sqrt{14} = \sqrt{7} \sqrt{2}[/tex]

= [tex]\sqrt{7} x^{3} \sqrt{x7} \sqrt{2}[/tex]

= [tex]7x^{4} \sqrt{2}[/tex]

= [tex]7\sqrt{2} x^{4}[/tex]

Learn more about simplifying here https://brainly.com/question/5841775

#SPJ4

Not all rational numbers a and b satisfy the equation |a+b|=|a|+|b|.

As a result, |a+b|=|a|+|b|.

If |a+b|=|a|+|b| for all rational numbers a and b, we must verify this.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals).

Now,

a=-3 and b=5

|-3+5|=|-3|+|5|

⇒2≠8

A = 2 and B = 4

|2+4|=|2|+|4|

⇒6=6

As a result, we realized from the examples above that |a+b|=|a|+|b| isn't always true.

To learn more about rational numbers from given link

https://brainly.com/question/5564981

#SPJ9

Answer:

44pigs

Step-by-step explanation:

12/3=4.

4*11=44

The ratio shows how many times one value is contained in another value.

The number of pigs is 44.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The number of pigs: the number of goats = 11:3

Let the number of pigs = 11x

Let the number of goats = 3x

The number of goats = 12

This means,

3x = 12

Divide 3 on both sides.

x = 12/3

x = 4

Now,

The number of pigs:

= 11x

= 11 x 4

= 44

Thus,

The number of pigs is 44.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

You can multiply two matrices only if their dimensions are compatible. That means the number of columns in the first matrix is ​​equal to the number of rows in the second matrix.

The resulting matrix, called the matrix product, has the number of rows of the first and the range of columns of the second matrix. The result of matrices A and B is denoted as AB.

The definition of matrix multiplication means row-by-column multiplication, where the entry in the ith row of A is multiplied by the corresponding entry in the jth column of B, and the results are added. Matrix multiplication is not commutative. If neither A nor B is identity matrices, then AB≠BA.

More vector-related questions are below:

https://brainly.com/question/13322477?referrer=searchResults

#SPJ4

45 feet

Im writing this extra because the app said the answer was to short :)

According to the given statement the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

Logarithms are another way to write exponents. A number's logarithm with only a base equals another number. Modular multiplication is the inverse function of the logarithm. For instance, if 102 = 100, log10 100 = 2.

4log₃x+log₃7

4log₃x this expression can not be further expand:

log₃7 applying the log property of (log ₐᵇ = b log a)

log₃7 this can be written as 7 log 3

the complete expiration is:

4log₃x+7log3

or

4log₃x+7log₃

So,

11log₃

the expand form of the logarithm 4log₃x+log₃7 is 11log₃.

To know more about Logarithms visit:

https://brainly.com/question/28346542

#SPJ4

Answer:

inequality

Step-by-step explanation:

Answer:

multiply by 2

Step-by-step explanation:

5x2=10

10x2=20

Answer:

the rule is that each time you go up you add the number by itself to get another for example 5, 10 we now know that 5+5 = 10 continuing 5, 10, 20

10+10 = 20

Answer:

f(4) = 98

Step-by-step explanation:

Substitute any x values for 4, and then solve.

f(4) = 22(4) + 10

f(4) = 88 + 10

f(4) = 98

Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.

Step-by-step explanation:

According to the question, the given rational expression is as follows:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}[/tex]

To simplify the given expression by performing factors on denominator:

[tex]4x^{2}-2x = 2x(2x-1)[/tex]

Substituting these factors in the final expression, we get:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}=\frac{2x}{2x(2x-1)}=\frac{1}{2x-1}[/tex]

Therefore, the final answer for the given expression is [tex]\frac{1}{2x-1}[/tex].

To learn more about the simplification from the given link:

brainly.com/question/16831291

#SPJ4