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Bad White [126]
3 years ago
8

6( 5-8x) +12= -54

Mathematics
2 answers:
UkoKoshka [18]3 years ago
5 0
<span>6( 5-8x) +12= -54 
30-48x+12=-54 this comes from distributing(multiplying) 6x5 and 6 times -8x
30+12-48x=-54 you have to add the coefficients 30+12
42-48x=-54  
-42        -42 
-----------------------
-48x=-96 divide by -48
x=2</span>
natita [175]3 years ago
4 0
You use the distributive property by distributing the 6 to 5 and -8x which gives you 30-48x+12=-54 then you subtract 30 and 12 from both sides to get -96 then divide by -48 to solve for x which gives you 2
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Which equation has a graph that is a parabola with a vertex at (5,3)?
lara [203]

Answer:

y =  (x -5)² + 3.

Step-by-step explanation:

Given : parabola with a vertex at (5,3).

To find : Which equation has a graph that is a parabola.

Solution : We have given vertex at (5,3).

Vertex form of parabola : y = (x -h)² + k .

Where, (h ,k )  vertex .

Plug h = 5  , k= 3 in vertex form of parabola.

Equation  :y =  (x -5)² + 3.

Therefore, y =  (x -5)² + 3.

6 0
3 years ago
A function is shown: f(x) = 36x² - 1.
givi [52]

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

<h3>What are equivalent functions?</h3>

Equivalent functions are different functions that have equal values when evaluated and compared

<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

(a + b)(a - b) = a^2 - b^2

So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

Read more about equivalent function at:

brainly.com/question/2972832

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8 0
2 years ago
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= 154 × 15 = 2310

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