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sergey [27]
3 years ago
14

Which set of data would be best modeled by a quadratic function?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0
Graph B
Quadratic functions tend to portray a parabola (either an U shape or an opposite down U shape)
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Simplified form of 4(12x+16)
Ierofanga [76]

Answer:

The given expression simplified is <em>48x + 64.</em>

Step-by-step explanation:

Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.

Distributive law states:

  • a(b + c) ⟶ (a × b) + (a × c)

We know that...

  • a = 4
  • b = 12x
  • c = 16

Following the rules of distributive law, we can set up the expression to match this property.

a(b + c)  ⟶  4(12x + 16)  ⟶  (4 × 12x) + (4 × 16)

The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we <u>cannot</u> multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.

(4 × 12x) + (4 × 16)

48x + (4 × 16)

48x + 64

Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient <u>and variable</u>. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.

Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be <em>48x + 64.</em>

6 0
3 years ago
Which of the following is an excluded value of the rational expression shown?
yawa3891 [41]

Answer:

  6

Step-by-step explanation:

The denominator cannot be zero, so x cannot be 6.

8 0
3 years ago
Let
pashok25 [27]
Just upload a picture of the problem
4 0
3 years ago
In the survey 136 out of 160 depends on modular learning what percent of the reponents prefer modular learning?
xxTIMURxx [149]
C. 85%

Set up the proportions
136/160 = ?/100
Then cross multiply.

100 x 136 = 13600
13600/160 = 85

Also you could use process of elimination. 296% wouldn’t work because that’s saying 136 is almost 3 times as many as 160. The other answers wouldn’t work because it’s clear that 136 is more than half of 160.
3 0
3 years ago
Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?
Natasha_Volkova [10]
The answer to this is (6,-2)
7 0
4 years ago
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