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Kryger [21]
3 years ago
11

Equivalent expressions for 7x-6x+4x

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

<h3>5x</h3>

Step-by-step explanation:

7x-6x+4x ← <em>(Add and subtract elements to the numbers from left to right.)</em>

<em />

7-6+4

PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

7-6+4 ← (Add & subtract.)

7-6=1

1+4=5

= 5x

5x, which is our answer.

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Independent Practice
Sedbober [7]

Answer: THE ANSWER IS D. (-27, -7, -2, 8, 48)

Step-by-step explanation:

Graph.

y = 5 x − 2

{ − 5 ,  − 1 ,  0 ,  2 ,  10 }

The chosen topic is not meant for use with this type of problem. Try the examples below.

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5 0
3 years ago
Which steps transform the graph of y = x2 to y = –2(x – 2)2 + 2? (1 point)
Kitty [74]
Y = x²  to: y = - 2 ( x - 2 )² + 2
Answer:
D ) reflect across the x-axis, translate 2 units to the right, translate up 2 units, stretch by the factor of 2
7 0
3 years ago
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find y.
hodyreva [135]

9514 1404 393

Answer:

  B. 6

Step-by-step explanation:

The diagonals of a parallelogram intersect at their midpoints, so ...

  DE = BE

  4y -8 = y +10

  3y = 18 . . . . . . . add 8-y

  y = 6 . . . . . . . . divide by 3

__

<em>Additional comment</em>

The value of x is found the same way:

  2x = x+2   ⇒   x = 2

3 0
2 years ago
Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF
Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in 10x^2 we have 10 as coefficient of x^2

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, x^2 has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( x^2 = 1 \times x^2 )

<h3>What are some basic properties of exponentiation?</h3>

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c

For the considered situation, the expression that Anja is simplifying is:
\dfrac{10x^{-5}}{-5x^{10}}

Anja simplified it to \dfrac{15}{x^{15}}

She performed operations with variable 'x' correctly since

\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: \dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

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Answer: 1.25 lawns/per hour

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