Simplify fully...

x²+3x-4 / 2x²-5x+3

Answers

Answer 1

Answer: =x²+3x-4/2x²-5x+3
=(x-1)(x+4)/½(2x-2)(2x-3)
=---------------------------

Answer 2

Answer: $( x^(2) +3x-4 )/( 2 x^(2) -5x+3) = ((x+4)(x-1))/((x-1)(2x-3)) = (x+4)/(2x-3)$

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Please help me on #37. I know for A you would use the quadratic equation but I got the wrong answer.

Answers

Δ = (8i)^2 - 4*(-25) => Δ = -36 +100 => Δ = 64 => x1 =(-8i + 8)/2 => x1 = -4i +4;
x2 = (-8i - 8)/2 => x2 = -4i-4; in this case, your solutions are complex conjugates.

The height y (in feet) of a punted football is given by -16/2025x^2 + 9/5x + 2.5 where x is the horizontal distance (in feet) from the point at which the ball is punted. (a) How high is the ball when it is punted?
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
(c) How long is the punt? (Round your answer to two decimal places.)

Answers

a) The ball is 2.5 feet high when it is punted ( for: x=0 )
b) The maximum height ( formula for the parabola):Ymax= $(4ac-b^(2) )/(4a)= (4* (-16)/(2025)*25- (9)/(5)^(2) )/(4* (-16)/(2025) )$
Finally: Ymax= 105.02 feet.
c)We will find how long is the punt with the formula:
$- (16)/(2025) x^(2) + (9)/(5)x +2.5=0$
We will multiply it by 2025 to avoid the fractions:
$-16 x^(2) +3645x+5062.5=0$
And we will solve it:
$x_(12) = \frac{-b\pm \sqrt{b^(2) -4ac} }{2a}= (-3645\pm √(13286025+324000) )/(-32) x_(1)= (-3645-3689.1767)/(-32)$
x=229.19 feet.
We will except this answer because another one is negative.

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?

Answers

$D(7,3) \nE(8,1) \nF(4,-1)$

The lengths of the sides of the triangle:
$\overline{DE}=√((8-7)^2+(1-3)^2)=√(1^2+(-2)^2)=√(1+4)=√(5) \n \n\overline{DF}=√((4-7)^2+(-1-3)^2)=√((-3)^2+(-4)^2)=√(9+16)=√(25)=5 \n \n\overline{EF}=√((4-8)^2+(-1-1)^2)=√((-4)^2+(-2)^2)=√(16+4)=√(20)= \n=√(4 * 5)=2√(5)$

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
$(√(5))^2 + (2√(5))^2=5^2 \n5+20=25 \n25=25 \ntrue$
They do, so it's a right triangle.

The triangle is a right scalene triangle.

Have a nice day :)
_______________

Savannah Bryan is career coach. Her biweekly salary is $3010. What is Savannah's annual salary

Answers

Answer:

Savannah's annual salary is $ 78260 .

Step-by-step explanation:

As given

Savannah Bryan is career coach.

Her biweekly salary is $3010.

Thus

$One\ week\ salary = (Total\ salary)/(Number\ of\ months)$

Here

Total salary = $3010

Number of months = 2

Put all the values in the above

$One\ week\ salary = (3010)/(2)$

One week salary = $ 1505

As there are 52 weeks are in one year .

Thus

Savannah's annual salary = Number of weeks in a year × One week salary

Put all the values in the above

Savannah's annual salary = 52 × $1505

= $ 78260

Therefore Savannah's annual salary is $ 78260 .

$78,260 is her annual salary bi annually means ever two weeks and 52 weeks in a year so u divide 52 by two and mulitiply that by her biweekly salary

Which of the following equations shows direct variation between u and v? Choose all answers that are correct. A. v =1/u + 6 B. v/u = 9 C. 0.5(1/u) = v D. 3.5u = v

Answers

Direct variation is when U increases V will increase and when U decreases V will decrease. The answer to your question is D. 3.5u = v. I hope that this is the answer that you were looking for and it has helped you.

2/5 / 2/3 how to divide fractions?