3 years ago

Y=x^2-2x-1 and y=-3x+5 solved algebraically

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

Step-by-step explanation:

y=x²-2x-1

and y=-3x+5

x²-2x-1=-3x+5

x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x=-3,2

when x=-3

y=-3×-3+5=9+5=14

when x=2

y=-3×2+5=-6+5=-1

so solutions are (-3,14) and (2,-1)

You might be interested in

The longer base of an isosceles trapezoid measures 22 ft. The nonparallel sides measure 8 ft, and the base angles measure 75°. F

Mamont248 [21]

Check the picture below

and recall that

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\
-------------------------------\\\\
sin(75^o)=\cfrac{y}{8}\implies 8sin(75^o)=y
\\\\\\
cos(75^o)=\cfrac{x}{8}\implies 8cos(75^o)=x$

4 0

3 years ago

Read 2 more answers

A car travelled 72 km in 3/4 h. If the car is travelling at a constant rate how far will the car travel in one hour?

Anvisha [2.4K]

Answer:

96 km

Step-by-step explanation:

72/3 is 24. When yo add 24 to 72 you get 96km.

3 0

2 years ago

Find the value of x when 6-3x= 5x-10x+20

icang [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

What is the value of the expression 24/x when x = 8?

erma4kov [3.2K]

Answer:

Itd be 3 becaus 24/8 is 3

8 0

2 years ago

Subtract the following polynomials

Olegator [25]

Answer:

1. (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers