The trinomial x2+bx-c has factors of (x+m)(x-n) where m,n, and b are positive. What is the relationship between the values of m and n? Explain

Answers

Answer 1

Answer:

Sample Answer: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

its right ur welcome

Answer 2

Answer:

Answer:

(m - n ) = b

mn = c

The relationship between m and n is such that their product is c and their difference is b

Step-by-step explanation:

roots are x = -m and x = n

-m = -b/2 - root(b*b + 4c)/2

n = -b/2 + root(b*b + 4c)/2

(x + m)(x -n) = x*x +(m - n)x - mn

(m - n ) = b

mn = c

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Alex is renting a kayak from Barry's boats who charges \$7.49$7.49 per hr ++ an initial rental fee. For 22 hr it will cost him \$35.18$35.18 what is the initial fee Alex will pay

Answers

Based on the information given, the initial fee that Alex will pay will be $20.20.

Let the initial fee be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

x + (7.49 × 2) = 35.18

x + 14.98 = 35.18

x = 35.18 - 14.98

x = 20.20

Therefore, the initial fee is 20.20.

Learn more about equations on:

brainly.com/question/13763238

Answer:

$20.20 is the initial fee which Alex will pay to Barry.

Step-by-step explanation:

Initial rental fees charged by Barry for his boat = x

Additional fees charged for each hour by Barry for his boat = $7.49

Duration of time for which boat was rented = 2 hours

Additional fees that will be paid by Alex for renting Barry's boat for 2 hours :

= $\$7.49* 2=\$14.98$

Total fees paid by Alex to Barry for renting his boat = $35.1

$\$35.18=x+\$14.98$

$x=\$35.18-\$14.98=\$20.20$

$20.20 is the initial fee that Alex will pay to Barry.

-16t squared + 16t + 480 t=time after jumping in seconds h=height in feet How many seconds did did it take her to hit the water

Answers

that is height
h=16t^2+16t+480
when h=0 is when it hits the water

0=16t^2+16t+480
undistribbute 16 for ease
0=16(t^2+t+30)
16*0=0 so assume
t^2+t+30=0
factor
(t+6)(t-5)=0
set to zero

t+6=0
minus 6
t=-6
false, since you cannot have negative time

t-5=0
add 5
t=5

at t=5 she hits the water

5 seconds

How many solutions does the system 2y=10x-14 and 5x-y=7 have

Answers

Answer: 1 solution at (2.8, 7)

Answer:

All real numbers

Step-by-step explanation:

Take 2y=10x-14 and divide both sides by 2. Once you do that, you get y=5x-7. Use substitution and plug that into 5x-y=7. You get 5x-(5x-7)=7 which eventually simplifies to 7=7 which shows that you can plug in an infinite number of solutions so the answer is all real numbers.

Heidi grew her hair out for many years. Her hair was 12/10 of a meter long. She donated her hair by cutting off 5/6 of a meter. How long is Heidi's hair now?