The possible values of x are given by x-42-1. What is the greatest possible value of -5x ?

Answer:

[tex]3(2a + 3b) [/tex]

Step-by-step explanation:

3×2a+3×3b

The dimensions of the shape allow us to find the length of PR to be 19.8 units.

The shape that is given is an equilateral triangle. This allows us to know that all the sides of the shape are equal.

This means that PR and QR are the same:

PR = QR

Equate both formulas as:

2n + 9 = 7n - 18

You can then solve for the value of n:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

Find out more on equilateral triangles at https://brainly.com/question/28050807

#SPJ1

Answer:

d because every number power of zero is one ande the negative exponent defines to 1/that number

If teacher has three dogs named Gabby, Ranger, and Rico then in 6 different ways can the dogs be lined up for their photograph.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

If teacher has three dogs named Gabby, Ranger, and Rico.

We can lineup 3 dogs in 3! ways.

3!=3*2=6 different way.

Gabby, Ranger, Rico

Ranger, Rico, Gabby

Rico, Gabby, Ranger

Ranger, Gabby, Rico

Rico, Ranger, Gabby

Gabby, Rico, Ranger.

Therefore in 6 different ways can the dogs be lined up for their

photograph.

To learn more about Permutation click:

https://brainly.com/question/23283166

#SPJ1

Answer:

$30.80

Step-by-step explanation:

v = the price of each video game = 2.6

d = the price of each DVD = 3.8

x = the total amount Josh spent

6v + 4d = x

Substitute the values for v and d into the equation.

6 (2.6) + 4 (3.8) = x

15.6 + 15.2 = 30.8

Josh spent $30.80 on video game and DVD rentals in the past month.

Answer: 42

Step-by-step explanation:

70% = 70/100 as a fraction. 60 is 60/1 as a fraction.

Using this information, set up your question.

--> 70/100 x 60  

Multiply the fractions together and you get 4200/100. This then simplifies/is equivalent to 42. Therefore, 70% of 60 is 42.

Answer:  the answer would be 54

Step-by-step explanation:

4 x 4 = 16

8 x 4 = 32

16 + 32 + 6 = 54

Answer:

n = 1

Step-by-step explanation:

triple n is 3 times n = 3n , then

3n - 13 = - 10 ( add 13 to both sides )

3n = 3 ( divide both sides by 3 )

n = 1

Answer:

[tex]\sin ^2\left(\theta\right)[/tex]

Step-by-step explanation:

Pythagorean identity

[tex]1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\1-\cos ^2\left(x\right)=\sin ^2\left(x\right)\\=\sin ^2\left(\theta\right)[/tex]

Answer:

x = 90

Step-by-step explanation:

x - 11 = 79 ( isolate x by adding 11 to both sides )

x = 79 + 11 = 90

Answer:

am pretty sure its 1/4 bc the first guys answer wasn't provided in the answer choices so i had to ask my teacher for help and the answer is 1/4 for those still stuck on this problem !!

Step-by-step explanation:

Answer:

y = (C-Ax)/B

Step-by-step explanation:

We first move Ax to the right by subtracting from both sides

Ax+By=C

Ax+By - Ax = C - Ax

By = C - Ax

Now we divide by B

y = (C - Ax)/B

note that it only works if B ≠ 0

Answer:

y = [tex]\frac{C-Ax}{B}[/tex]

Step-by-step explanation:

Ax + By = C ( subtract Ax from both sides )

By = C - Ax ( divide both sides by B )

y = [tex]\frac{C-Ax}{B}[/tex] (B ≠ 0 )

Answer:

1 block per minute: 24 minutes. 2 blocks per minute: 12 minutes.

Step-by-step explanation:

For the 2 blocks per minute one, it would just be 24/2 because she is going 2 blocks per minute, equaling 12.

10 Ounces of 30% alcohol solution must be mixed.

Let the amount of 30% solution to be added = x ounces

So , total solution is (40+x) ounces.

we know that 30%=0.30 , 80%=0.80 , 70%=0.70

According to the question

x ounces of 30% alcohol solution + 40 ounces of 80% alcohol solution = (40+x)ounces of 70% alcohol solution.

x*(0.30)+40(0.80)=(40+x)*0.70

0.30x+32=40*0.70+0.70x

0.30x+32=28+0.70x

Rearranging the terms we get

0.70x-0.30x=32-28

0.40x=4

x=4/0.40

x=10

Therefore , 10 ounces of 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution.

Learn more about Percentage here https://brainly.com/question/8898448

#SPJ4

the domain is 0...............

According to the given statement The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).

The features of log are utilized to expand (or compress) a single logarithm across numerous logarithms. A logarithm is simply another way of expressing exponents. Thus, logarithmic features are derived from exponentiation qualities.

log 5-2 log x

This can be written as:

log₁₀ (5) - 2log₁₀(x)

Apply log rule (b logₐ (c) = logₐ(cᵇ)):

2log₁₀(x) = log₁₀(x²)

= log₁₀(5) - log₁₀(x²)

Applying log rule (logₐ (b) - logₐ (c) = logₐ(c/b)):

log₁₀(5) - log₁₀(x²) = log₁₀(5/x²)

The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).

To know more about logarithm visit:

https://brainly.com/question/24211708

#SPJ4

Solution of the equation a x ² + b x + c = 0 for b is b = ( - c - a x ² ) / x

Given,

the polynomial to be solved

a x ² + b x + c = 0

Solving the equation for b implies that we get the value of b from the above given polynomial

We can solve the given polynomial a x ² + b x + c = 0 by rearranging the terms of the polynomial and taking the LHS as b and the RHS as a term consisting of a, c and x

a x ² + b x + c = 0

=> b x = - c - a x ²

=> b = ( - c - a x ² ) / x

This gives us the required answer. It matches with option G among the given multiple choices.

Therefore, we get the solution of the equation a x ² + b x + c = 0 for b as b = ( - c - a x ² ) / x

Learn more about Polynomials here:

https://brainly.com/question/11536910?referrer=searchResults

#SPJ9

From the diagram shown, the algebraic expression representing the perimeter of the shape is 12x - 10

This is determined by substituting the values into the formula for perimeter.

The formula for determining the perimeter of an isosceles trapezoid is expressed as;

Perimeter = a + b + c + d

Note that none of the sides of an isosceles trapezoid are equal

Where;

Now, let's substitute the values into the formula for perimeter of an isosceles trapezoid

Perimeter = x + (2x + 5) + ( 3x + 2) + (6x - 17)

Now, expand the bracket

Perimeter = x + 2x + 5 + 3x + 2 + 6x - 17

collect like terms

We have;

Perimeter = x + 2x + 3x + 6x + 5 + 2 - 17

Add like terms

Perimeter = 12x + 7 - 17

Perimeter = 12x - 10

Thus, the algebraic expression representing the perimeter of the shape is 12x - 10

Learn more about perimeter here:

https://brainly.com/question/24571594

#SPJ1

Answer:ur mom

Step-by-step explanation:

Answer:

7/5 or 1.4

Step-by-step explanation:

1. Cross multiply. 5(2x-1)= 3(3)

2. Simplify and add 5. 10x -5= 9.     10x = 14

3. Divide by 10. 10x/10 = 14/10

X= 14/10= 7/5 or 1.4

Hope this helps. Please mark Brainliest!

Answer:

1. 9x + 7

3. 7x + 1

5. 5x^2 + 3x

7. 8x + 8

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

Answer: 32

Step-by-step explanation: If the second piece is twice the size of tee smaller one then you’d want to multiply 16 by 2 or add 16+16 which would give you 32

Answer:

48

Step-by-step explanation:

16x2=32     32+16=48

Step-by-step explanation:

The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)

The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.

1. Write an equation that relates g & t.

20g=55t20g=55t

2. Solving for g.

20g=55t20g=55t

=> g=\frac{55t}{20}g=

20

55t

Hence, g= 2.75tg=2.75t

3. You travel for six hours. How many gallons of gasoline does the car use

We will use this equation g= 2.75tg=2.75t to solve the question.

Putting t = 6

g= 2.75(6)g=2.75(6)

g = 16.5 gallons

4. How far do you travel?

We can use equation d=55td=55t here

d=55\times6=330d=55×6=330 miles

Answer:

See explanation below

Step-by-step explanation:

A rational number is one that can be expressed as p/q where p and q are integers. An irrational number, of course, is just the opposite

Rational numbers example: 1/2, 5/6 2, 20/3, - 5/6 0, etc

Irrational numbers example:  π, √2 , √3 etc

Basically the square root of a prime number is irrational
Thus √2, √7, √13 are all irrational numbers. They cannot be represented as a ratio of an integer to another integer

However, not all square roots are irrational number.

If the number is a perfect square then its square root will be a rational number

For example √36 is 6 which is  a rational number (6/1)

√1 is 1 which is also a rational number

So Jennifer is incorrect in stating that the square root of any number is irrational

The required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of  3 and 2

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
looking over the curve there are two maxima
first at (-2,3) and the second is at (4, 2)
So the local maximum is at x = -2 , 4
And maximum is y = 3 ,2

Thus, the required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of  3 and 2.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

  Solving the problem by multiplying and simplifying we have as a result 72x⁴y²

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

  Multiplication is also known as product, and it is a mathematical operation of a successive sum, this operation consists of adding a number a certain number of times:

a x b the number "a" will be added "b" times.

  The algebraic expression that we must simplify to its minimum expression is:

6√4 x² . 2√9 x² y²  we can see that it is an expression that has two variables

6×2x² × 2×3x²y²  

12x² × 6x²y²      ; multiply power of equal base

72x⁴y²

Lear more about simplification in:

https://brainly.com/question/28595186

#SPJ4

Solving the inequality for the absolute value of x gives x < 1

Inequalities are simply defined as mathematical expressions showing comparison between two equations that are unequal.

They are known for explaining the relationship between values that are not equal to each other.

It is also important to note that absolute values of numbers holds that no number carries the negative sign

It is denoted with the symbol ' | | '

Given the expression;

| | 3x - 1 | + 5 | < 1

expand the bracket

3x - 1 + 5 < 1

Take absolute value

3x - 1 + 5 < 1

collect like terms

3x - 1 < 1 - 5

3x < -4

3x < - 4 + 1

3x < - 3

Make 'x' the subject

x < -3/ 3

x < - 1

x < 1

Thus, solving the inequality for the absolute value of x gives x < 1

Learn more about inequalities here:

https://brainly.com/question/25275758

#SPJ1

The energy is 6000 joules.

The stored energy that depends upon the relative position of various parts of a system.

Given:

weight = 60N

height = 10 m

So, the energy is

Energy=mgh,

Energy =60*10*10

Energy =6000 joules

Hence, the energy is 6000 joules.

Learn more about energy here:

https://brainly.com/question/20723855

#SPJ1

Answer:

 2x +5y  ≥ 175 is required inequality

Step-by-step explanation: