MATHEMATICS HIGH SCHOOL

At how many points does the graph of the function below intersects the x-axis?y=3x^2-5x+1
A. 0
B. 1
c, 2

Answers

Answer 1
Answer:

Answer: 2 points

Step-by-step explanation: the graph of y=3x^2-5x+1 intersect the x-axis at those real values of x where y=0

i.e. 3x^2-5x+1=0

ax²+bx+c=0 has real roots if b²-4ac≥0

if b²-4ac=0 implies real and equal roots

here a=3,b=-5 and c=1

b²-4ac=25-12>0

this implies that this equation has unequal real roots

so,this equation will intersect the x-axis at two distinct points
Answer 2
Answer: Unfortunately it doesn't factor nicely.  You can try completing the square but it's really hard because A isn't 1.  Because A is positive, you know that the parabola opens upwards.  That means if you can find a negative function value then it definitely crosses the x axis twice because of symmetry.   If you plug in 1 for x then y is -1.  So the answer is C. 2.

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What steps should be taken to calculate the volume of the right triangular prism? Select three options

Answers

Answer:

1st, 4th and 5th options are correct.

Step-by-step explanation:

Please find the attachment.  

We are asked to choose three steps to calculate the volume of the given right triangular prism.

We know that base of triangular prism is triangle. The volume of triangular prism is area of base times height of the prism.

Let us find area of triangular base using area of triangle formula.

A=(1)/(2)bh, where,

b = Base length,

h = Height of triangular base.

Therefore, 1st option is correct.

Upon substituting the base length (8 m) and height (14 m), we will get:

A=(1)/(2)(\text{8 m}* \text{14 m})

A=\text{4 m}* \text{14 m}

A=56\text{ m}^2

Therefore, 4th option is correct.

The volume of the prism would be area of base times height of prism (7 m) as:

\text{Volume of the prism}=(56\text{ m}^2)* 7\text{ m}

\text{Volume of the prism}=392\text{ m}^3

Therefore, 5th option is correct as well.

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume

Give an example of a relation that is NOT a function and explain why it is not a function.I do not understand how to do this...please help its algebra.

Answers

The desired example is this: x=y^2
Because for each x>0 we have two different possible y values which means it is not a function anymore. a function should only maximum 1 y value for each x value.

You can see the above relation has multiple possible values for y because if we take x=1 then y can be -1 or 1.

a can of paint is 15 centimeters high and has a diameter of 13.6cm what is the volume of the can round to the nearest tenth

Answers

20.0 because it was 20.4 but round it and you get 20.0

Write 6y = x + 5 in standard form using integers. A. –x + 6y = 5
B. –6x + 6y = 30
C. -6x - 6y = 30
D. 6x - 6y = 30

Answers

I hope this helps you


-x+6y=5
Standard form is Ax+By=C, so with that knowledge, we can work with the problem to get it how we want it!

Our first step is to get x and y on the same side of the equals sign. To do that, we can subtract an x from both sides, turning 6y = x + 5 into -x +6y = 5. Lucky for us, this brings us straight to the answer, which is A) -x +6y = 5!

The circle graph represents a total of 600 people's opinions about their favorite genre of movie. How many people prefer romantic comedies?75
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Answers

Your answer should be 90
Your welcome ;)

Answer:

Step-by-step explanation:

The answer is 90

Which is the best estimate for the quotient of 312.21 59.113?a. 5,000
b. 50
c. 5
d. 0.5

Answers

Answer=C

The first step in estimating is to round the numbers into simpler numbers so that we can easily do the math in our head...

312.21 becomes 300

59.113 becomes 60

300÷60=5


Answer=C
Answer=C

312.21 would be 300

59.113 would be 60

300÷60=5
Im pretty sure that is right IDK im in Middle School
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