What is the solution to this equation?
-1/5(x+1 1/4)=-2 1/2

The required value of δ = 1/4.  

0< |x-1| < δ
| f(x) - 4 | < 1/2 where f(x) = 6 - 2x

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation

now

| f(x) - 4 | < 1/2
|6 - 2x - 4 | <1/2
| 2-2x | < 1/2
| 1 - x | < 1/4
| x - 1 | < 1/4
since modulus function always give positive values.
0 < | x - 1 | < 1 /4

The required value of δ = 1/4.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Answer:

48000

Step-by-step explanation:

After rounding each number to the criteria stated, we get the question 800 * 60. Multiply the 8 and the 6 and add the same number of zeros that are there right now. this is 48 + "000" so 48000.

The value of the stock account at the end of each day is  mathematically given as

x=1010$.

Generally, The price of the stock would have climbed by 1000 points, which is equal to 0.1 times 1000, or 10 dollars.

Therefore, the price of the stock would be 1010 dollars plus 10 dollars, which is 1020 dollars.

In conclusion, Cheryl was required to pay a ten dollar administrative fee, and this cost would be deducted from the stock price.

Following this logic, the price of the stock would be

x=1020-10

x=1010$.

Read more about stock account

https://brainly.com/question/24173784

#SPJ1

Answer:

7, 11, 2, 18, -7, 25

Answer: 140

Step-by-step explanation:

Answer:

to find the value of x

x=(8x28)÷4

Answer: x=56

x/y 28/4=x/8

reduce 28/4 to 7/1

7/1 = x/8

cross multiply

x=56

Step-by-step explanation:

The measures that are true for the quilt piece include:

The value of a will be:

= 90° - 30°

= 60°

The perimeter will be:

= 4 × 4

= 16 inches.

The length of the diagonal will be:

= 2 × 3.46

= 6.92 = 7

Learn more about perimeter on:

brainly.com/question/14476767

#SPJ1

The derivatives for this problem are given as follows:

a) [tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]

b) [tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].

The derivative of the sum is the sum of the derivatives.

In this problem, the function is:

[tex]f(x) = 4\cos{x} + \ln{(x + 1)}[/tex]

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

[tex]f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}[/tex]

[tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]

What is the product rule?

The derivative of the product is given as follows:

[tex](f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)[/tex]

In this problem, we have that:

Hence the derivative is:

[tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].

More can be learned about derivatives at https://brainly.com/question/2256078

#SPJ1

The functions that have a maximum and are transformed are:

This is the rule in mathematics that is used to show the relationship that is in existence between variables.

In order to check for the minimum and the maximum, we have to check on the coefficient of the x square. When it is negative, we have a maximum. When it is positive it is a minimum.

Read more on maximum and minimum here:

https://brainly.com/question/15903408

#SPJ1

Answer: b and e

Step-by-step explanation: algebra edge 2022 :)

Answer:

108

Step-by-step explanation:

if the width of the rectangle is 8, and the triangle is on the width of the rectangle, then the base of the rectangle is 8. the height is 7, so we use the formula area = height * base / 2 to find that the area of the triangular portion is 28. then, we find the area of the rectangle by doing 10 * 8(height * width) for a value of 80. the total area of the front of the house is 28 + 80: 108.

Answer:

3906

Step-by-step explanation:

(125-1):2+1=63

63x(125+1):2=3906

Answer:

DF = 3

Step-by-step explanation:

BC = DF

Which mean D is (0,2) and F is (3,2)

Here, this is clear that y-intercept is 2

DF = D(x) + F(x) = 0 +3 = 3

When using simulation models for random sampling, we can develop the margin of error by multiplying the critical value by the standard error.

This is a measure of the error that we get when we use a random sampling model.

It can be found by the formula:

= Critical value x Standard error

If using a z-test, the critical value would be z and the standard error would be (σ / √n). The margin or error would therefore be:

= z (σ / √n)

Find out more on margin of error at https://brainly.com/question/24289590.

#SPJ1

1) m∠1 = 62°, lines t and l intersect (given)

2) ∠1 and ∠4 are vertical angles (intersecting lines form vertical angles)

3) ∠1 and ∠4 are congruent (vertical angles are congruent)

4) m∠1 = m∠4 (congruent angles have equal measure)

5) 62° = m∠4 (substitution)

6) m∠4 = 62° (symmetric property of equality)

Answer:

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

Numeric Example= [tex]\frac{2}{2} =\frac{1}{1}[/tex]

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

Equivalent Fractions have the same value, even though they look different.

☆Example :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt \dfrac{1}{2} = \dfrac{2}{4} = \dfrac{4}{8} }[/tex]

¿Why are they the same?

Because when you multiply or divide the numerator and denominator by the same amount, the fraction does NOT change.

Remember that :-

Remember that :- The multiplication and division that you apply in the numerator to e must repeat in the denominator.

That's why the fractions are really the same.

◇Watch the process ;

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \boxed{ \tt \frac{1}{2} = \frac{2}{4} = \frac{4}{8} }[/tex]

That's multiplying

(Image 1)

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \tt\dfrac{18}{36} = \dfrac{6}{12 } = \dfrac{1}{2} }[/tex]

That's Division

(Image 2)

I hope I've helped : )

Here are the solving steps for the problem.

   Given:

[tex]\displaystyle \frac{-6}{4x}=12[/tex]

    [1] Multiply both sides of the equation by 4x:

[tex]\displaystyle 4x(\frac{-6}{4x})=(12)4x[/tex]

-6 = 48x

    [2] Divide both sides of the equation by 48:

[tex]\displaystyle \frac{-6}{48} = \frac{48x}{48}[/tex]

[tex]\displaystyle x=-\frac{1}{8}[/tex]

I am not sure how to solve the equation in one step, so here is it in two steps. My apologies.

Answer:

[tex] - \frac{1}{8} [/tex]

Step-by-step explanation:

The Algebraic Equation -6 divide by 4x = 12 can be stated mathematically as :

[tex] \frac{ - 6}{4x} = 12 \\ \\ cross \: multiplying \\ \\ 4x \: \times 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ \frac{48x}{48} = \frac{ - 6}{48} \\ \\ x = - \frac{1}{8} [/tex]

Answer:

1/2

Step-by-step explanation:

We are given the expression 3b²-c, and we want to evaluate it if b is 1/2 and c is 1/4.

Because b and c are given values, we can substitute them into the expression as so:

Replace b with 1/2 in the expression.

3(1/2)²-c

Now replace c with 1/4 in the expression.

3(1/2)²-1/4

Now to solve this, we need to use the order of operations, which is usually known as PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in the United States, although other countries have different abbreviations.

Regardless, the order of operations tells us that we should start with what is inside parentheses (i.e. if we need to do anything, like multiplying or dividing any numbers that are inside parentheses).

In this case, we don't have anything. So, we should go next to exponents, and we do have an exponent here (1/2 is raised to the second power).

So let's evaluate that.

Raise 1/2 to the second power (multiply it by itself).

1/2 * 1/2 = 1/4

We can substitute (1/2)² with 1/4:

3(1/4) - 1/4

Next, we should take care of any multiplication / division, making sure that we should work left to right

There is one multiplication thing to do: the 3(1/4), which will be 3/4

Replace 3(1/4) with 3/4.

3/4 - 1/4

Now, we can subtract 1/4 from 3/4, as the final two things in PEMDAS are addition and subtraction (A and S). Note that even though while addition is written first, we should always be working left to right, so for example if we had 3 - 4 + 6, we should do 3 - 4 first, THEN add 6 to the result of that. The same is true for multiplication and division.  

3/4 - 1/4 = 2/4 = 1/2

Answer:

  C.  c is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

The graph says the value of c is less than zero.

__

Additional comment

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

The test statistic z  is 2.33, the p-value corresponding to the test statistic z value is 0.0099.

Probability is the measure of the likeliness of happening of an event.

The mean of the data is 15.07 centimeters

The standard deviation of the data is 0.26 centimeters.

n = 75

Significance Level ∝ = 0.01

According to the null and alternative hypothesis

Hₐ : [tex]\rm \mu[/tex] ≤15  vs H₁ : [tex]\rm \mu[/tex] >15

The test statistic z  is given by

[tex]\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}[/tex]

Z = ( 15.07 -15)/(0.26/√75)

Z = 2.33

The p-value corresponding to z value is 0.0099

as p-value < significance level, therefore the H₁ : [tex]\rm \mu[/tex] >15 is acceptable.

No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Considerando la definición de divisor común mayor:

Los divisores de un número natural son los números naturales que lo pueden dividir, resultando de cociente otro número natural y de resto 0. Ser divisor es lo recíproco a ser múltiplo.

En otras palabras, un número es divisor de otro si está contenido una cantidad entera de veces. Por lo tanto, al dividir el número por el divisor el cociente debe resultar un número entero (que no sea un número decimal) y el residuo o resto de la división sea 0.

Se denomina máximo común divisor al mayor número que divide exactamente a dos o más números a la vez.

En otras palabras, el divisor común mayor es el mayor de los divisores que tienen en común dos o más números.

Para calcular el divisor común mayor se debe realizar los siguientes pasos:

Para calcular la cantidad de grupos se debe calcular el divisor común mayor. Para ello, en primer lugar se descomponen los números:

El factor común a todos los números es el número 13. Esto indica que si Miguel quiere repartir las canicas en grupos iguales con la mayor cantidad de cada tipo tendrá 13 grupos.

Para esto se deberá dividir la cantidad de cada tipo de canica por la cantidad de grupos formados, que en este caso es 13. Esto es:

Finalmente, en cada grupo habrá 8 canicas grandes, 9 canicas medianas y 10 canicas pequeñas.

Aprende más sobre divisor común mayor:

https://brainly.com/question/21625009

https://brainly.com/question/21289092

https://brainly.com/question/18951704

#SPJ1

Answer:

second one listed

Step-by-step explanation:

second one given--he can buy between 3 and 6 albums; and 0 to 30 songs

(if he were to buy exactly 3 albums, he could not buy more than 30 songs; which is why that portion of the graph is not shaded)

(shaded = possible)

hope this helps!

Answer:

4

Step-by-step explanation:

[tex]In(e^4)[/tex] =  [tex]4In(e)[/tex]
          = 4 x 1
          = 4

The value of the expression ln([tex]e^4[/tex]) is 4.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The natural logarithm (ln) is the inverse function of the exponential function,

[tex]e^x[/tex].

ln([tex]e^4[/tex]) = 4,

since ln([tex]e^4[/tex]) "undoes" the exponentiation of [tex]e^4[/tex].

So the value of ln([tex]e^4[/tex]) is 4.

Thus,

The value of the expression ln([tex]e^4[/tex]) is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

c=y×z

Step-by-step explanation:

the answer is this because z would be the number of dozens you have times y the cost of one by multiplying those together you will get the cost of the z dozens of eggs

Step-by-step explanation:

Let the first number be = x

Let the second number be = 4x -28

Let the third = x-7

x + 4x+ x -28 - 7

6x - 35

6x -35 = 157

6x = 157 +35

6x = 192

x = 32

therefore, x = 32, the second x = 4(32) -28

728 - 28

x = 100

third x = 32 - 7

x = 25.

Answer:

hope it helps. good day .in case of any question please ask.

Answer:

mine was D

Step-by-step explanation:

mine was D unless its diffrent

Answer:

r = 163 --> C

Step-by-step explanation:

In a right triangle, the remaining angle is = 180-73-90 = 17

Because n // p so acute angle created by n = 17

r+17 =180 --> r = 180-17 = 163

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. Both the cards have the same cost of credit.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest on $12,000 will be,

SI = $12,000 × 3 × 0.212 = $7,632

The interest on $24,000 will be,

SI = $24,000 × 3 × 0.106 = $7,632

Hence, both the cards have the same cost of credit.

Learn more about Simple Interest:

https://brainly.com/question/2793278

#SPJ1

The booth space and the product brochures are less than $3000 hence the equation of inequality will be  B + P ≤ $ 3000.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let the booth space be B and the product brochures be P.

Then the equation of inequality will be  

B + P ≤ $ 3000

Learn more about inequality on:

https://brainly.com/question/11613554

#SPJ1

Complete question:

2.5.2 Project: A Trade Show Booth

The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare the inequality that meets the budget.