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aev [14]
3 years ago
6

Solve the system by substitution. y=2x^2-3x-1 y=x-3

Mathematics
2 answers:
padilas [110]3 years ago
6 0
The answer is B(1,-2). This is the only point where the two lines intercept. & if you plug the numbers into the equations they fit.
vekshin13 years ago
4 0

Answer:  The correct option is (B) (1, -2).

Step-by-step explanation:  We are given to solve the following system of equations by substitution method :

y=2x^2-3x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Substituting the value of y from equation (ii) in equation (i), we get

x-3=2x^2-3x-1\\\\\Rightarrow 2x^2-4x+2=0\\\\\Rightarrow x^2-2x+1=0\\\\\Rightarrow (x-1)^2=0\\\\\Rightarrow x-1=0,~~~x-1=0\\\\\Rightarrow x=1,1.

Substituting x = 1 in equation (ii), we get

y=1-3=-2.

Thus, the required solution is (x, y) = (1, -2).

Option (B) is correct.

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PLEASE ANSWER QUICK! I REALLY NEED HELP!
Katarina [22]

Answer:

a) Angle 1 = Value in degree = 95°

b)Angle 2 = Value in degree = 77°

c) Angle 3 = Value in degree = 85°

d) Angle 4 = Value in degree = 103°

Step-by-step explanation:

We use circle theorems to solve for this above question.

a) Angle 1 = Value in degree = 95°

Inscribed Angle is 1/2 of an Intercepted Arc

From the diagram, Angle 1 intersects at Arc B and Arc C

This means Angle 1 = (B + C)/ 2 =

Arc B = 100°

Arc C = 90°

Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°

b)Angle 2 = Value in degree = 77°

From the diagram, Angle 2 intersects at Arc C and Arc D

Inscribed Angle is 1/2 of an Intercepted Arc

This means Angle 1 = (C+ D)/ 2

C = 90°

D = 64°

Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°

c) Angle 3 = Value in degree = 85°

From the diagram, we can see that Angle 1 is opposite Angle 3, hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 1 + Angle 3 = 180°

Angle 1 = 95°

95° + Angle 3 = 180°

Angle 3 = 180° - 95° = 85°

d) Angle 4 = Value in degree = 103°

From the diagram, we can see that Angle 2 is opposite Angle 4,

Hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 2 + Angle 4 = 180°

Angle 2 = 77°

77° + Angle 3 = 180°

Angle 4 = 180° - 77° = 103°

4 0
3 years ago
Answer 10 points!!! hurry
Reil [10]

Answer:

Height: 7 centimeters

Base: 42 centimeters

Step-by-step explanation:

5 0
3 years ago
PLZZ HELPP!!
Elden [556K]
There's one piece of information missing from the question, so
in order to completely calculate the answer, we must assume the
missing number.

We have no information that helps us calculate the probability
that you will eat the first jelly bean.  So we'll have to assume that
you will definitely eat it, no matter what color it is.  The probability is 1 .

-- You start out with  (2 + 4 + 8 + 6) = 20 jelly beans in the package.
    8 of them are purple.

-- If you close your eyes and pull one out of the package, then the
probability that it will be purple is
                                                  8 / 20 .

-- You definitely eat it.  The probability of this event is 1 .

-- Now there are  19  jelly beans left in the package.
   6 of them are blue.

-- The probability of picking a blue one out of the package without peaking is

                             6 / 19 .

-- The probability of all three of these events happening is

                       (8/20) · (1) · (6/19)

                   =  (8 · 1 · 6) / (20 ·19)

                   =      48 / 380 

                   =  12/95  =  0.1263...  =  12.63...%  (rounded)   
4 0
3 years ago
Read 2 more answers
What is 33.153 rounded to the nearest tenth?
EastWind [94]

Answer:

33.15 that is the answer

5 0
3 years ago
Read 2 more answers
The height of a tree was 12 feet. after a year, the tree's height increased 25%. what is the height of the tree after a year
g100num [7]
15ft because 12x.25=3 so 3ft is 25% of the 12ft, add the 3+12=15
6 0
3 years ago
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