What is the equation of the line graphed below?
A. y=-2x
B. y = 2x
C. y=-1/2x
D. y=1/2x

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:

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

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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

Answer:ur mom

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

3×2a+3×3b

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

Answer:

1. 9x + 7

3. 7x + 1

5. 5x^2 + 3x

7. 8x + 8

Step-by-step explanation:

  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

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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

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Given:

Solution in Exact Form:

Hope this helps!

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.

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.

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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:

 2x +5y  ≥ 175 is required inequality

Step-by-step explanation:

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:

x = 90

Step-by-step explanation:

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

x = 79 + 11 = 90

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).

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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

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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.

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Answer:

180= (2x-24 )+ (x+5)

180= 3x-21

+21         +21

201=3x

/3      /3

67=x

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 )

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.

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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:

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

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Using scientific notation, the total kilowatt-hours of electricity used during these two years is:

(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For two numbers in scientific notation to be added or subtracted, they need to have the same exponent.

Thus, the first amount has to have an exponent of 10^11, meaning that the exponent has to be added by 2 = equivalent to addition by 100, and to compensate the base has to be divided by 100, hence:

(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11

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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:

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 relationship is proportional because, the points lie on a straight line that goes through the origin.

A relationship that is proportional has a straight line graph that must pass through the origin, whereby the constant of proportionality, k = y/x, where x and y are the variables of the proportional relationship.

An example of a graph that represents a proportional graph is shown in the attachment below. The graph is a straight line graph that passes through (0, 0), which is the origin. The constant of proportionality, k = 21/7 = 3.

Thus, for the relationship between time spent swimming and the number of weeks to be proportional, it means that:

the points lie on a straight line that goes through the origin.

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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:

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

Step-by-step explanation:

It is given that for a fundraiser, the ratio of tickets you sold to tickets your friend sold was 11:5.

Let us look at the ratio of tickets sold by both the persons.

Now, according to the condition given and the ratio mentioned in the question;

The number of tickets sold by me for the fundraiser be = 11x

and

The number of tickets sold by my friend for the fundraiser be = 5x

It is observed that total number of tickets sold by me and my friend are;

=> 11x + 5x

So, it is inferred that the number of tickets sold by me and my friend are not 11 and 5 respectively and can vary upon the value of x.

For instance, if the value of x = 2 than;

=> 11x + 5x

=> 11 × 2 + 5 × 2

=> 22 + 10

=> 32 tickets

Therefore,

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

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