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2 years ago

Which property justifies this statement?

Mathematics

2 answers:

ASHA 777 [7]2 years ago

6 0

Answer:

division.

Step-by-step explanation:

this property states that when you divide both sides of an equation by the same number, the two sides remain equal.

so in your equation, when you divide by 6, you know that y = 8.

Mars2501 [29]2 years ago

6 0

The property that justifies the statement is the Division Property of Equality because we divided both sides by a constant value.

Equations are expressions separated by an equal sign.

Given the expression 6y = 48

To get the value of y, we will have to divide both sides by 6 as shown:

6y = 48 (Division Property of Equality)

6y/6 = 48/6

y = 8

Hence the property that justifies the statement is the Division Property of Equality because we divided both sides by a constant value.

Learn more here: brainly.com/question/17581815

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What type of model best fits the height of a tree increases by 2.5 feet each growing season

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

A linear graph with y values (height of tree) going up 2.5 with each increase of x (growing season)

This is the model that best fits the graph describing a growth of a plant

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2 years ago

Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry

almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

$\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}$

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0

3 years ago

The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

ira [324]

Answer:

$\dfrac{40}{42}$

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

$\dfrac{x}{x+2}$

If both numerator and denominator are decreased by six, the fraction becomes:

$\dfrac{x-6}{x+2-6}$

The simplified result is $\dfrac{17}{18}$

Therefore:

$\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40$

Substituting x=40 into the initial fraction

$\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}$

Therefore, the original fraction is $\dfrac{40}{42}$

4 0

2 years ago

7/9 + 5/12 with lcm pls help<br> and give explanation pls

Viefleur [7K]

Answer:

1. 43/36

2. 1/2

Step-by-step explanation:

1. 7/9 + 5/12

= LCM of 9 and 12 is 36

= 28/36 + 15/12

= (28 + 15) / 36

= 43/36

2. 21/24 - 3/8

= LCM of 24 and 8 is 24

= 21/24 - 9/24

= (21 - 9) / 24

= 12/24

= 1/2

3 0

2 years ago

Read 2 more answers

Please Help Me!

alexdok [17]

Answer:

The answer to your question is below

Step-by-step explanation:

(2x⁴ + 7x³ - 3x + 9) - (6x⁴ - 3x³ - 6x² - 17)

Step 1. take out the parenthesis, in the second term, change the signs

2x⁴ + 7x³ - 3x + 9 - 6x⁴ + 3x³ + 6x² + 17

Step 2. Group like terms

(2x⁴ - 6x⁴) + (7x³ + 3x³) + (6x²) + (-3x) + (9 + 17)

Step 3. Simplify like terms

-2x⁴ + 10x³ + 6x² - 3x + 26

3 0

2 years ago