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3 years ago

-4z+1=bz+c solve for z

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

Answer:

z= $\frac{c-1}{-4-b}$

Step-by-step explanation:

Angelina_Jolie [31]3 years ago

6 0

-4z+1 = bz+c

Take all z's to one side
1 = bz+c+4z

Then take c to the other side
1-c = bz+4z

Factor out z on the right side
1-c = z(b+4)

Then divide (b+4) from both sides
z = 1-c/b+4 or (1-c)/(b+4)

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Which value is needed in the expression below to create a perfect square trinomial?

Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression $x^{2}+8x$ as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.

The identity for $(a+b)^{2}$ is given as follows:

$(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)$

Step 1:

Break down the given polynomial $x^{2}+2\times(x)\times(4)$ .

Step 2:

Now compare the polynomial with the above indentity.

On comparing it is observed that the value of a is x and the value of b is 4.

Step 3: 

In order to make the polynomial $x^{2}+8x+$ a perfect square, add $16$ to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.

$x^{2}+2\times(x)\times4+16$

Step 4:

Now as per the identity $(a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2}$ the polynomial $x^{2}+2\times(x)\times4+16$ is written as follows:

$(x+4)^{2}$ .

Therefore, the perfect square for the given polynomial is $(x+4)^{2}$ which is created by adding 16 to the given expression.

Learn more:

A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667
A problem to obtain the binomial and trinomial brainly.com/question/1394854

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Quadratic expression

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

6 0

3 years ago

Read 2 more answers

Valerie sold 42 tickets to the school play and mark sold 24 tickets. what is the ratio of the number of tickets Valerie sold to

ipn [44]

Answer:

24/42

Step-by-step explanation:

8 0

3 years ago

Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold

PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

a = 12

Hence, 12 bottles were sold in the second hour.

5 0

3 years ago

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.

yuradex [85]

What is the question??

3 0

3 years ago

What is the limit of cosine as x approaches infinity?

sesenic [268]

Does not exist, since the graph of cosine is continuous between the intervals [-1,1]. You do not know where it will be when it “reaches” infinity

6 0

3 years ago