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Black_prince [1.1K]
2 years ago
7

The algebraic expression

- 9p" alt="9p - 10q + 3 - 9p" align="absmiddle" class="latex-formula"> is a?
Just tell me what kind of expression it is. Extra points if you answer it.
Mathematics
2 answers:
DIA [1.3K]2 years ago
3 0

Answer:

Linear expression

Step-by-step explanation:

First, simplify the expression.

Given expression: 9p-10q+3-9p

Collect like terms:   9p-9p-10q+3

Combine like terms:   -10q+3

As each term of the expression is either a numeric constant or a variable with no exponent, this is a <u>linear expression</u>.

It can also be called a <u>binomial expression</u> since the expression only contains two terms (the constant and the variable).

kirill [66]2 years ago
3 0

Answer:

Binomial

Step-by-step explanation:

Simplify the expression :

  • 9p - 10q + 3 - 9p
  • 3 - 10q

There are 2 terms.

Hence, it is a <u>binomial</u>

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Step-by-step explanation:

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3 years ago
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is
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Seven times the smaller
Taya2010 [7]

Given:

Seven times the smaller  of two consecutive even  integers  is the same as  -300 minus 4 times the  larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even  integers.

Seven times the smaller  integer = 7x

-300 minus 4 times the  larger integer = -300-4(x+2)

Now,

7x=-300-4(x+2)

7x=-300-4x-8

7x+4x=-308

11x=-308

Divide both sides by 11.

x=\dfrac{-308}{11}

x=-28

So, the smaller even integer is -28.

x+2=-28+2=-26

So, the larger even integer is -26.

5 0
3 years ago
The graph shows the solution to a system of inequalities:
tangare [24]

Answer:

Option A. 4x+3y\leq 12 and x\geq 0

Step-by-step explanation:

we know that

The solution of the first inequality is the shaded area below the solid line 4x+3y=12

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

4x+3y\leq 12

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

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7 0
3 years ago
In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter
anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

x_1 = 2009;\ y_1 = 10,002

x_2 = 2013;\ y_2 = 17,884

The rate of change is calculate as follows;

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{10002 - 17884}{2009 - 2013}

m = \frac{-7882}{-4}

m = \frac{-7882}{-4}

m = 1970.5

Hence, the average rate of change is 1970.5 thousand

6 0
4 years ago
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