All categories

3 years ago

4x - 10 + 5x = 71 solve the equation and enter the value of x below

Mathematics

2 answers:

Hatshy [7]3 years ago

6 0

Add ten to both sides
Then combine the like terms
9x=81
X= 9

Liono4ka [1.6K]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

You might be interested in

Which of the following statements is TRUE about the relationship between the numerical values?

Gwar [14]

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

7 0

3 years ago

Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.

Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

$p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0$ (1)

Where $r_{1}$ , $r_{2}$ and $r_{3}$ are the roots of the polynomial.

If we know that $r_{1} = -1$ , $r_{2} = 0$ and $r_{3} = 6$ , then the polynomial function in factorized form is:

$p(x) = (x+1)\cdot x \cdot (x-6)$ (2)

And by Algebra we get the standard form of the function:

$p(x) = x\cdot (x+1)\cdot (x-6)$

$p(x) = x\cdot (x^{2}-5\cdot x -6)$

$p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

6 0

3 years ago

(-1, -5) (-2, -4) (-5,-1) (-4, -2)

notka56 [123]

Answer:

(-4, -2)

Step-by-step explanation:

A = (-1, 2)

Add (-3, -4) to that and you get ...

A' = (-1-3, 2-4) = (-4, -2) . . . . matches the last choice

The translation function has the effect of moving the point left 3 and down 4. You can count grid squares on the graph to see that A' ends up at (-4, -2).

8 0

4 years ago

Help!!! 2814 divided by 7

dexar [7]

2814÷7= 402.
hope this helps!

7 0

3 years ago

Read 2 more answers

87 + 89 divided by 2 x 2 x 2 x 6 x 5 x 4 x 2 x 12 x3

Fittoniya [83]

First you add 87 +89 which equals 176.
second you multiply all the numbers you want to divide, which, to save time, equals 69,120

176 / 69,120 = 0.0025462962963 (0.003 if needing to round)

3 0

3 years ago

Read 2 more answers

4x - 10 + 5x = 71 solve the equation and enter the value of x below ​

4x - 10 + 5x = 71 solve the equation and enter the value of x below