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1 year ago

Find the range for the given domain: {-3,-1 and 3} and the function is y=3x^2-2x+1.

Mathematics

1 answer:

Artist 52 [7]1 year ago

7 0

Answer:

Step-by-step explanation:

The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.

3(-3²) - 2(-3) + 1 Negative * Negative = Positive

3(9) + 6 + 1

3(-1²) - 2(-1) + 1

3 + 2 +1

3(3²) -2(3) + 1

3(9) - 6 + 1

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Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are

Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0

3 years ago

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0

2 years ago

I'm having trouble figuring out how I could go about this. Can someone work it out then explain so that I know how to do this ne

skad [1K]

Answer:

RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.

Therefore RS=TQ

Angle R=Angle Q, because it is an isosceles triangle

Triangle AR

S is congruent to ATQ.

AT=AS

Because TAS is isosceles, angles 5 and 6 are equal.

Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.

And angles 1 and 3 are equal, because the other two angles in the triangle are equal.

The triangles RAT and QAS are congruent with SAS.

Step-by-step explanation: Can u gimme brain plz!

6 0

3 years ago

What happens to the value of the expression 80-2r as r decreases?

Ghella [55]

Answer:The value of the expression increases as r decreases.

Step-by-step explanation:

To find : What happens to the value of the expression as r decreases?

Given Expression: 80-2r

We check for different value of r as decreasing order,

r 80-2r

5 80-10=70

4 80-8=72

3 80-6=74

2 80-4=76

1 80-2=78

As r decreases the value of expression increases.

Therefore, the value of the expression increases as r decreases.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Round 593,204 to the nearest million

GenaCL600 [577]

1,000,000 If the number is 5-9 (in this case, the one in the hundred-thousands place), you round up. If lower, then round down

6 0

3 years ago