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xxMikexx [17]
3 years ago
13

Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynom

ial. Use standard polynomial format.
x(2x + 3) + (x - 3)(x - 4)
Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

3x^{2}-4x+12

Step-by-step explanation:

In this case we have to simplify the expression by giving it in the standard polynomial format, first we have to see what is the polynomial standard format, this is:

ax^{2} +bx+c

In the case of the expression presented we have to make the multiplications and additions to then organize the expression:

x(2x+3)+(x+3)(x+4)

First the multiplications:

2x^{2} +3x+x^{2} -4x-3x+12

Now the additions and organization:

3x^{2}-4x+12

Now we have the expression in the polynomial format.

Mice21 [21]3 years ago
4 0
3x^2-4x+12! Hope this helps.
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Linear model function
sveticcg [70]

Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.

Equation for Rink A:

Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4

Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:

19 = 4(1) + b

19 - 4 = b

b = 15

Substitute m = 4 and b = 15 into y = mx + b:

y = 4x + 15 [equation for Rink A]

Equation for Rink B:

Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6

Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

15 = 6(1) + b

15 - 6 = b

b = 9

Substitute m = 6 and b = 9 into y = mx + b:

y = 6x + 9 [equation for Rink B]

To find how many hours (x) both would cost the same (y), make both equation equal to each other

4x + 15 = 6x + 9

4x - 6x = -15 + 9

-2x = -6

x = 3

The hours Jeremy wants to skate is 3.

Learn more about linear model function on:

brainly.com/question/15602982

#SPJ1

5 0
2 years ago
The Fifth Grade classes are going on a field trip. Mrs. Lafont fills an ice chest with drinks. The ice chest holds 122 cubic inc
forsale [732]
122+118=240 because you add it.
5 0
3 years ago
Read 2 more answers
I mark as brainliest ​
noname [10]

Answer:

- 1/4

Step-by-step explanation:

8 0
3 years ago
When simplified completely, the product of a monomial and a monomial is sometimesalwaysnever a monomial
Vaselesa [24]

Answer:

Always

Step-by-step explanation:

A mononomial's variable can only have exponents 0,1,2,3 etc  so the product will also be a mononomial.

7 0
3 years ago
In the graph below, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where
drek231 [11]

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or >.

Since the shaded region A is above the line, the symbol is >

Observe that its y-intercept is:

b=3

The line of g(x) is solid. This means that the symbol of the inequality must be \leq or \geq.

Since the shaded region B is below the line, the symbol is\leq .

Observe that its y-intercept is:

b=-2.

Based on this, we can conclude that the graph represents the following System of Inequalities:

\left \{ {{y\leq 2x -2} \atop {y >-x + 3}} \right.

8 0
3 years ago
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