ErzaHeartfelia
ErzaHeartfelia ErzaHeartfelia
  • 10-07-2017
  • Mathematics
contestada

Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 10-07-2017
both equal y so set equal to each other
-x+7=-0.5(x-3)^2+8
times both sides by -2
2x-14=(x-3)^2-16
expand
2x-14=x^2-6x+9-16
add 14-2x to both sides
0=x^2-8x+7
factor
0=(x-7)(x-1)
set to zero
0=x-7
7=x

0=x-1
1=x

so find y

y=-x+7
y=-1+7
y=6
or

y=-7+7
y=0

so the solutions are
(-1,6) and (-7,0)
Answer Link

Otras preguntas

who led the mexicans?
In what hemisphere is Russia located?
Which statements accurately describe the Persian Wars?(multiple choice) Choose all answers that are correct. A. Xerxes thought he could conquer Greece because
Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5 Choose one answer. a. mean = 6.8, median = 5, m
Why is a car rounding a curve accelerating, even if it is moving at a constant speed?
Sunflower plants have smooth and fleshy stems. Based on these characteristics, which type of plant could it be? A.)Herbaceous B.)Woody C.)Monocot
Precipitation is most likely to occur when the sky is?
A farmer divides 20 acres of land into 1/4- acre sections. Into how many sections does the farmer divide her land?
Which part of the water cycle is a biological process? a. transpiration b.runoff c. precipitation d. condensation
You walk 4 steps north. You turn and then walk 3 steps east. Every step is the same length. What is the shortest distance from where you started to where you en