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djverab [1.8K]
2 years ago
11

Which statement is true about the prime polynomial 2x2 + 3x + 3?

Mathematics
1 answer:
marshall27 [118]2 years ago
8 0
The answer is that it cannot be modeled with a rectangle.
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Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −
IRINA_888 [86]
For this case we have the following equation:
 7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6

 Step 1 of the solution is to make the distributive property.
 We have then:
 7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6

 Step 1 is correct.
 The step is to combine similar terms. Caleb wrote: 7.4x + 8.2x - 16.4 = -2.3x + 35.4

 He wrongly combined the similar terms on the right side of the equation.
 The correct solution is: 7.4x + 8.2x - 16.4 = -2.3x -7.8

 Answer:
 In step 2, the like terms were not combined on the right side of the equation.
6 0
2 years ago
Read 2 more answers
Marissa bought a car for $22,000. The value of the car is decreasing at a rate of 10.5% every year. After 5 years, the value of
torisob [31]

Answer: the value of the car will be about $12634

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

P = $22000

r = 10.5% = 10.5/100 = 0.105

t = 5 years

Therefore

A = 22000(1 - 0.105)^5

A = 22000(0.895)^5

A = $12634

4 0
2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}
\begin{tabular}{ |c |c |c }
 x & g(x) \\
 -1 & -22 \\
 0 & -20  \\
1 & -18   
\end{tabular}
\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
Read 2 more answers
A coach gives her players the option of running around their field twice or around their entire stadium once. The following diag
Elodia [21]
Get a call to me when I can do it on Saturday
7 0
2 years ago
Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sp
Ronch [10]

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

Number = n!\ ways

Where:

n = 3

So, we have:

Number = 3 * 2 * 1\ ways

Number = 6\ ways

3 0
2 years ago
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