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tia_tia [17]
2 years ago
4

Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7

D. 4x2 – 3 + x3
Mathematics
1 answer:
lesya [120]2 years ago
4 0

Answer:

Option (D)

Step-by-step explanation:

Option (A).

3x⁵ - 2x³

There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.

Option (B).

x⁵ - 3x² + 5x

This expression has three terms with variable 'x'.

Therefore, it's a trinomial without no constant term.

Option (C).

7x⁶ + 2x⁴ - x³ + 7

It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.

Option (D).

4x² + x³ - 3 ≈ x³ + 4x² - 3

It's a trinomial with a constant term 3.

Therefore, Option (D) is the answer.

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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

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Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order
dolphi86 [110]
C=Pi X D
Diameter is twice the radius so that would be 24 feet

C = Pi X 24
C = (22/7) X 24
C = 75.428 Feet.
6 0
2 years ago
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Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

7 0
2 years ago
A store manager records the total visitors and sales, in dollars, for 10 days. The data is shown in the scatter plot. What concl
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Answer:An increase in visitors is correlated with an increase in sales.

Step-by-step explanation:

From the given scatter plot we can see that variables are positively correlated  because they are moving in the same direction.

Since we know that the positive correlation is a relationship between two variables such that they increase or decrease together.

Since, the two variables given her is " number of visitors" and "Total sales"

Therefore, based on the given data it can be observed that "An increase in visitors is correlated with an increase in sales."

3 0
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a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have
grin007 [14]
This is just a basic proportion. 5/8 = x/12. So the 5 foot tall women would have a 7.5 foot shadow.
7 0
2 years ago
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