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3 years ago

Solve this system of equations algebraically:

2 answers:

6 0

Y - 10 = 11 x + x²
y - 12x = 30
____________
y = 12 x + 30
12 x + 30 - 10 = 11 x + x²
x² - x - 20 = 0
x (12) = 1+/- √ (1 + 80 ) /2
x 1 = (1 - 9) / 2 = -4
x 2 = ( 1 + 9 ) /2
x 2 = 5
y 2 = 30 + 12 · 2 = 30 + 60 = 90
The second solution is:
( 5, 90 ).

Radda [10]3 years ago

4 0

Answer:

The second solution is 5,90

Step-by-step explanation:

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In a recent year, team 1 made 191 out of 238 free- throw attempts and team 2 made 106 out of 160 free- throw attempts. Copy and

ivann1987 [24]

Cross multiply and divide Put 191 over 238 (like a fraction) the put another fraction bar right next to your first fraction and put 100 on bottom (this equals a whole in % and it's right across from the total of 238 free throws) then multiply 191 by 100 then divide by 238 and that answer should be your the percent you need.

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3 years ago

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Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f o g)(-5)

musickatia [10]

The answer is: [A]: " -53 " .
_______________________________________________________
Explanation:
_______________________________________________________
Given:

" Let f(x) = -2x −<span> 7 and g(x) = -4x + 3. Find (f o g)(-5) " ;
_______________________________________________
First, find g(-5) . g(x) = -4x + 3.

g(-5) = -4*(-5) + 3 = 20 + 3 = 23 ;
_______________________________________________
Now find f (g(-5) to get the answer; that is f(23);
_______________________________________________
Find f(23). f(x) = -2x </span>− 7 .

f(23) = (-2*23) − 7 = -46 <span>− </span>7 = -53 ; which is "Answer choice: [A]" .
_______________________________________________

3 0

3 years ago

Can some one solve 2 I’ll give a crown

vitfil [10]

Answer:

Hi! The correct answer is 16!

Step-by-step explanation:

<em><u>~Use the formula (b/2)^2 in order to create a new term to complete the square~</u></em>

7 0

2 years ago

Read 2 more answers

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago

a ferry traveled 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.how much do the ferry t

Dahasolnce [82]

Answer:

1 hour = 7/18 of the distance between two ports

Step-by-step explanation:

Given that:

In 3/7 hours distance traveled is 1/6

For finding distance in one hour, divide both sides by 7/3 so that 3/7 would be cancelled out:

3/7 * 7/3 hours = 1/6 * 7/3 distance

By simplifying:

1 hour = 7/18 of the distance between two ports

This means that in one hour 7/18 of the distance is covered between two ports.

i hope it will help you!

8 0

3 years ago

Read 2 more answers