MATHEMATICS HIGH SCHOOL

Factor completely 3x2 + 5x + 1.(3x + 1)(x + 1)

(3x + 5)(x + 1)

(3x − 5)(x + 1)

Prime

Answers

Answer 1

Answer:

Answer:

(D)

Step-by-step explanation:

The quadratic equation is in the form :

$(x+p)(x+q)$

$x^2+px+qx+pq$

$x^2+(p+q)x+pq$

and In the above, (p + q) = b and pq = c.

To factor a quadratic, we'll need to start by finding the two numbers (being the p and the q above) that add up to equal b, where those numbers also multiply to equal c.

Since, both 3 and 5 in the given equation $3x^2+5x+1$ are prime numbers, thus the given equation cannot be factorised because of the prime nature.

Hence, option D is correct.

Answer 2

Answer: Factor completely: 3x2 + 5x + 1
multiples of 1:
1*1=1 1+1=2

3x2 + 5x + 1 can not be factored anymore, it's prime

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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

Answers

Answer:

Here, x represents the umber of food tickets sold and y represents the number of ride tickets sold.

Given the system of equations:

$2x+3y = 1240$ ....[1]

$x = 2y-10$ ....[2]

Substitute the equation [2] into [1] we have;

$2(2y-10)+3y = 1240$

Using distributive property,

$a \cdot(b+c) = a\cdot b+ a\cdot c$

$4y-20+3y = 1240$

Combine like terms;

$7y-20 = 1240$

Add 20 to both sides we have;

$7y= 1260$

Divide both sides by 7 we have;

y = 180

Substitute this in [2] we have;

$x = 2(180)-10 = 360-10 = 350$

therefore, each type of ticket were sold are:

the number of food tickets sold is, 350 and the number of ride tickets sold is, 180

2(2y-10)+3y=1240
7y-20=1240
7y=1260
y=180
2x+3(180)=1240
2x+540=1240
2x=700
x=350
So they sold 350 food tickets and 180 ride tickets in total.
#TeamAlvaxic

What is the equation of the line that passes through the point (-4,-6) and has an undefined slope?

Answers

If a line has a slope that is undefined, that means it’s a vertical line (goes up and down). When you have a vertical line the equation is going to be in the form x = __. There is no y variable. Then you look at the x in the point given (which is -4). The equation would be x = - 4

Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles

Answers

Seg BA is congr to seg BC and seg DA is cong to seg DC by given Seg BD is congr to seg BD by reflexive Tr. BAD is congr to tr. BCD by SSS

Which measure results in the highest value for the data given?42,28,35,39,53,12,19,44
A. Range
B. Mean
C. Median
D. Mode

Answers

There is no mode. The median is 37. The range is 41. The mean is 34. Therefore, the answer is the range.

Answer:

Step-by-step explanation:

The diagram shows a plan of a volleyball court as seen from above.Volleyball court
Net
31 m
27 m
Calculate the size of the serving angle A.
Give your answer correct to the nearest degree.
C
The person serving stands at point A and tries to serve the ball somewhere between
point C and B on the edge of the opponent's side.
Do not include the degree symbol in your answer.
9 m
B

Answers

Answer:

To calculate the size of the serving angle A in the diagram of the volleyball court, you can use trigonometry.

You have the following information:

The distance from point A to point C is 9 meters.

The distance from point A to point B is 31 meters.

To find angle A, you can use the inverse tangent (arctan) function:

�

arctan

⁡

(

�

)

A=arctan(

)

Substitute the values:

�

arctan

⁡

(

)

A=arctan(

)

Now, calculate the angle:

�

≈

arctan

⁡

(

3.444

)

≈

73.4

∘

A≈arctan(3.444)≈73.48

∘

Rounded to the nearest degree, the size of the serving angle A is approximately 73 degrees.

Step-by-step explanation:

Sure, I'll explain it in a simpler way:

Imagine you're standing at point A on the volleyball court, and you want to serve the ball towards point C or point B. Point C is 9 meters away, and point B is 31 meters away from you.

To find out how wide the angle is between where you stand (point A) and where you want to serve the ball (between points C and B), we can use a special math trick. It's like saying, "How much do I need to aim to the left or right?"

We use something called "arctan" to figure it out. When we do the math, we find that the angle A is about 73 degrees. So, you need to aim your serve at about a 73-degree angle to get the ball between points C and B on the other side of the court.

Find the value of x, if x√20=7√5-√45