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Bas_tet [7]
3 years ago
7

Simplify 12(x-4)+4(x+7)

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

Expand

12x - 48 + 4x + 28

Collect like terms

(12x + 4x) + (-48 + 28)

Simplify

<u>16x - 20</u>

Elenna [48]3 years ago
5 0

Answer:

16x - 20

Step-by-step explanation:

12(x-4)+4(x+7)

Applying the distributive law to both parentheses:-

= 12x - 48 + 4x + 28

= 16x - 20  

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F(x)= x+4; D: {-5, -3, 0, 4}
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-5+4=-1

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Explain the steps you would take to complete this conversion problem.
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write the given equation into vertex form and sketch the graph. Determine the domain and range f(x)=3x^2-6+2 plss help
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Step-by-step explanation:

1. To sketch the function f(x) = (2/3)x - 3, we first need to find two points that we can later join to sketch the line, for example the x- and y-intercepts.

a) The x-intercept occurs when f(x) = 0, so if f(x) = 0, then:

f(x) = (2/3)x - 3

0 = (2/3)x - 3

3 = (2/3)x (Add three to both sides)

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We have now found the x-intercept at (9/2, 0)

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c) All that's left is to sketch the graph axes and label them, plot the two points, join them together using a ruler and label their coordinates.

2. The Domain is the range of x-values for which the function exists, and the Range is the range of y-values for which the function exists.

Since there haven't been any constraints specified, we can say that both the Domain and Range are (-∞, ∞), since the graph continues forever both along the x- and y-axis.

(Note that this isn't always the case and would change if, for example, the question stipulated that there was a domain of [0, 5] and you had to find the range. Then, you would calculate the value of y at each end of the domain (if x = 0, y = -3 and if x = 5, y = 1/3) - in my example, the range would thus be [-3, 1/3].)

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