Q, Fixed a system of coordinates in the plane, conficer the curve C having equation y = (x-2)^2. The line x + y - 2 = 0 intersects C in:

(A)1 poin

(B) no point

(C) 2 points

(D) infinitely many points

3 points

Answers

Answer 1

Answer:

C

Step-by-step explanation:

y = (x - 2)² = x² - 4x + 4 → (1)

x + y - 2 = 0 → (2)

substitute y = x² - 4x + 4 into (2)

x + x² - 4x + 4 - 2 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

substitute these values into (2) and solve for y

x = 1 : 1 + y - 2 = 0 ⇒ y - 1 = 0 ⇒ y = 1 ⇒ (1, 1 )

x = 2 : 2 + y - 2 = 0 ⇒ y + 0 = 0 ⇒ y = 0 ⇒ (2, 0 )

the line intersects curve C at 2 points (1, 1 ) and (2, 0 )


Related Questions

answer this for me pls

Answers

Answer:

Slope = 2

Step-by-step explanation:

Find the slope by using the slope equation:

[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the numbers to the slope equation:

[tex]\frac{8 - (-8)}{2 - (-6)}[/tex]

Which is equal to:

[tex]\frac{16}{8}[/tex]

Which is simplified to:

2.

Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.

Answers

Answer: The table represents a proportional relationship.


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = -16x + 16

Step-by-step explanation:

You can write a linear equation by getting the slope (m) and y-intercept (b).

To get the slope, you have to (y2 - y1) / (x2 - x1).

Which in this case, I'm going to used points (0,16) and (1,0).

So,

(0 - 16) / (1 - 0) = -16 / 1 = -16

m = -16

Now since we have the slope, the equation would look like y = -16x + b

You then have to input any x and y points (I'm going to use 1,0).

0 = -16(1) + b

0 = -16 + b

b = 16

Put this all together,

y = -16x + 16

Hope this helps :)

Let me know if there is any mistakes!!

Answer:

y = -16x + 16

Step-by-step explanation:

In the evening, a water tank contained 30cm of water. A few days later, it contained 21 cm of water. Ahmed claims that there is a 30% decrease. is Ahmed correct

Answers

Yes.
30 x .30 = 9 cm is a 30% decrease
30-9= 21 cm

-Let g(x) be a function defined by g(x) = x3.
a) Sketch the graph of g(x).
b) Find the inverse g-1(x) of g(x) then sketch the graph of g-1(x). c) Specify the domain and range of g(x) and g-1(x).
d) Determine the end behavior of g(x) and g-1(x).

Answers

Answer:

Step-by-step explanation:

a) The graph rises steeply from the third quadrant  and there is a point of inflection through  the origin (0, 0) then rises steeply in quadrant 1.

b) Let y = g(x) = x^3

x = ∛y

So g(-1)x = ∛x.

The graph is the reflection of g(x) in y = x.

c) Domain of g(x) = All real x, Range is all real g(x).

Domain of  g(-1)x  = All real x, Range = all real g-1(x).

d) You will see the end behaviour from the graphs.

I tried to send you a link to the graphs but the system wont allow it.

2x + y = 7
-2x - y = 6
Solve systems of equations by substitution

Answers

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

A ticket to Silver Dollar City costs $125. You have a coupon that will save you 33%. How much will you SAVE? In the same scenario, how much will you end up SPENDING for you ticket if you use your coupon?

Answers

You will save 41.25 dollars, and you will pay 83.75 dollars if you use the coupon.
To get the percent of money you save you multiply 125 dollars by 33% to get your answer. To get the number of dollars you will take the amount you got by multiplying 125 dollars by 33% and subtract it from 125, so that’s 125 - 41.25 = 83.75

HELPP I NEED THIS BY 2:30

The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)

Answers

Answer:

44, 95, and 41

Step-by-step explanation:

[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]

The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?

a. 9
b. 25/√9
c. 25
d. 203
e. 2,844

Answers

Answer:

203

Step-by-step explanation:

Sample size, n = 9

Mean weight, m = 203

Standard deviation = 25

Point estimate for the population mean weight of all black bears that are tagged `

The point estimate of the population mean ;

ΣX / n

Sum of sample / sample size ;

This is the mean value formula for the sample.

However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203

Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:

Point estimate of population mean weight of female black bears that are tagged.

Calculations and explanations:

Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.

The sample mean is obtained by:

[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]

Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.

Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Learn more about point estimate of population mean here:

https://brainly.com/question/20747890

which graph correctly represents the inequality x - 3y ≥ 6


F. none of them

Answers

Answer:

F is the answer lol bye okay A

The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the numbers ?

First number:

Second number:

Third number:

Answers

Answer:

41 is my geuss

Step-by-step explanation:

Will make 1st answer brainleist

Answers

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

4.7(5) - 6.8(3) =

23.5 - 20.4 =

3.1

If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?​

Answers

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

Find the circumference of the circle.
4 mi
Find The circumference
(Type an exact answer in terms of pie)

Answers

Answer:

Circumference of a circle-

2 x Pi x Radius

2x Pi x 4

8Pi

ANSWER-8Pi

Hope it Helps!!

1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

What exactly is the question here ?? (lol)

A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?

Answers

Answer:

$97.52

Step-by-step explanation:

(original price) 115 - (discount) 23 = 92 (new price)

92 plus 6% sales tax = $97.52 (final price)


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x - 2

Step-by-step explanation:

Answer:y=x-2

Step-by-step explanation:

each y is the x number with 2 taken away

Help me answer question 2 ​

Answers

Answer:

x + x + x

Step-by-step explanation:

We have 3y and are asked to express it equivalently with the answers provided.

I will go over the flaws of each answer and single it down to the correct one.

x * x * x would equal x^3, since this is being multiplied.

x^3 is equal to x * x * x, therefore it is not correct.

x + 3 is not correct because you cannot add numbers or variables that are not like terms, so it would not equal to 3y.

x + x + x would equal to 3y because they are all like terms and do not form exponents.

If bananas are $0.50 each, how much would it cost for 7 bananas?

Answers

Answer:

Step-by-step explanation:

total cost = unit cost times number purchased:

total cost = ($0.50/banana)(7 bananas) = $3.50 for 7 bananas

Answer: $3.50

Step-by-step explanation:

Write the formula for slope, for the point-slope
form of a line, and for the slope-intercept form of a
line.

Answers

Slope: M = rise/run = y2 - y1/x2 - x1

Point slope: y-y₁=m(x-x₁)

Slope-intercept: y = mx+b

If y varies directly as x and y =6 when x =2 ... find y when x=9

Answers

Answer:

27

Step-by-step explanation:

y = kx, where k is the constant of proportionality.  If x = 2 and y = 6, that constant is determined as follows:

6 = k(2), or k = 3.  Then y = 3x.  When x = 9, y = 27

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.

Answers

Answer:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right on the test review.

Answer:

just took the test the answer is C)

Step-by-step explanation:

OIGAN ME AYUDAN CON ESTO AUQUE SEA PLIS ​

Answers

Answer:

son 2 sucesiones si ves u a va subiendo y otra ba bajando

2x + y = 2
x - y = 1

Answers

Answer:

mariana bedoya sanchez

Which of the following graphs is the solution set of 2x+7>3?
PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

B or the second line

Step-by-step explanation:

1/2x +7 > 3

-7. -7

1/2x > -4

you time 2 on both sides

x > -8

Solve for x. Enter the solutions from least to greatest.
(2+8)^2 – 2 = 0
lesser x =
greater x =

Answers

Answer:

the answer to this question is 98=0

how do i answer this question?

Answers

Answer:

Your answer

X = 3

Y = -3

Mark it as Brainlist answer. Follow me for more ​

Step-by-step explanation:

Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8 - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions

One solution

Two solutions

Infinity many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6

Answers

Answer:

cierto

Step-by-step explanation:

Which of the following is equal to this expression? (256⋅64)^1/4

Answers

Answer:8•4 √4

Step-by-step explanation:

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