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3 years ago

If 8x+2=42 what is x

Mathematics

2 answers:

romanna [79]3 years ago

4 0

$Solution, solve\:for\:x,\:8x+2=42\quad :\quad x=5$

$Steps:$

$8x+2=42$

$\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides},\\8x+2-2=42-2$

$Simplify,\\8x=40$

$\mathrm{Divide\:both\:sides\:by\:}8,\\\frac{8x}{8}=\frac{40}{8}$

$\mathrm{Simplify},\\x=5$

$\mathrm{The\:Correct\:Answer\:is\:x=5}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

ki77a [65]3 years ago

4 0

8x + 2 = 42

8x = 42 - 2

8x = 40

x = 40 : 8

x = 5

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Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

Z-49+851=100+21z /////////////////////////////////////////////////

WITCHER [35]

Answer:

z=35.1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Five brothers equally share 3boxes of snack crackers. How many boxes does each brother receive?

seraphim [82]

Answer:

1.666666=1 2/3 is the amount each brother recieves.

Step-by-step explanation:

First start with dividing

5/3= 1.666666=1 2/3 is the amount each brother recieves.

We can make sure by adding 1 2/3+1 2/3+ 1 2/3=3 6/3=5

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3 years ago

Tallulah has a dimes and y nickels. She has at most 18 coins worth at

nexus9112 [7]

One possible solution for the system of inequalities is given as follows:

13 dimes and 2 nickels.

<h3>How to obtain the system of inequalities?</h3>

The first step in obtaining the system of inequalities is identifying the variables, which are given as follows:

Variable x: number of dimes that Tallulah has.

Variable y: number of nickels that Tallulah has.

Tallulah has at most 18 coins, hence:

x + y ≤ 18.

A nickel is worth 5 cents = $0.05, while a dime is worth 10 cents = $0.1, and Tallulah has at least $1.20 combined, hence:

0.1x + 0.05y ≥ 1.20.

The solution is given by the shaded region on the image given at the end of the answer, and one possible solution is given as follows:

x = 13, y = 2.

Which means that she has 13 dimes and 2 nickels.

More can be learned about a system of inequalities at brainly.com/question/9774970

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3 0

1 year ago

Explain why the equation ( x - 4 ) ^2 - 28 = 8 has two solutions. Then solve the equation to find the solutions. Show your work.

sashaice [31]

Answer:

Step-by-step explanation:

(x-4)2-28=8

Two solutions were found :

x = 10

x = -2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(x-4)^2-28-(8)=0

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-8x-20

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is -20

Step-1 : Multiply the coefficient of the first term by the constant 1 • -20 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -8 .

-20 + 1 = -19

-10 + 2 = -8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 2

x2 - 10x + 2x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-10)

Add up the last 2 terms, pulling out common factors :

2 • (x-10)

Step-5 : Add up the four terms of step 4 :

(x+2) • (x-10)

Which is the desired factorization

6 0

4 years ago