At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answers
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
Related Questions
The graph for the first equation of a system is shown in orange. The second equation is:
3y+30=6x
What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)
Answers
Answer:
b
Step-by-step explanation:
Slope of the first one:
(-6-0)/(0--3) = -6/3 = -2
y = -2x - 6
3y + 30 = 6x
y + 10 = 2x
-2x - 6 + 10 = 2x
4 = 4x
x = 1
y = -2(1) - 6
y = -8
Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?
Answers
Answer:
$378.20
Step-by-step explanation:
9455 * .04 = $378.20
: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?
Answers
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn
Answers
Answer:
4,756.66 seconds or 1.321 hours
Here's how I got that:
- Simply use time formula and plug in what you know -
t = distance/speed
↓
1,427,000,000,000/300000000
↓
t = 4,756.66
~That's all folks~
-Siascon
Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!
Answers
Answer:
Step-by-step explanation:
Hey can u help me plsss I really need help don’t just press for points.
Answers
how do we hel you , ca we get a description
Kelly is measuring an object with a metric ruler. To minimize parallax, she should…
Answers
Answer:
Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.
Step-by-step explanation:
ali sorced 66 and 72 marks respectively. for his two tests what is the lowest marks he must have sorced for his third test if an average score of at least 75 is required to qualify for a bonus prize
Answers
Answer:
87
Step-by-step explanation:
66 + 72 + 87 = 225
225 / 3 = 75
simplify this expression
Answers
Option B
If any doubt leave a comment
Help please due today!
Answers
Answer:
36.87 degrees
Step-by-step explanation:
Use the law of sines
sin(90)/70 = sin(x)/42
Multiply each side by 42
42 * sin(90)/70 = sin(x)
use a calculator to get 0.6
Use inverse sin to find angle sin^-1 = 0.6
The angle is approximately 36.87 degrees
Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
Answers
The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
Read more about factorization at; https://brainly.com/question/11000698
The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.
The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.
Answers
Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
The solution is, width=4in.
length=13in
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The area of a rectangle is 52 in^2.
If the length is 9 inches more than the width.
let the width of the rectangle be x
then the length will be x+9
Area= length×width
so, we have,
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
so, we get,
the width is 4in. and the length is 4+9=13in.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour
Answers
Step-by-step explanation:
the bottom left is the right option.
just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.
the first graph (top left) increases too strongly, way more than just 4ft per hour.
start a conversation with me and you get 100 points :D
Answers
Answer:
lol hi :D
Step-by-step explanation:
Answer:
Hey what's up?
Step-by-step explanation:
How's life
SOMEONE HELP ME ON THIS!!
Answers
Answer:
a) 8 ,18 year old students took part in the survey
b) 10
Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?
Answers
Answer:
x²+6x+9
x²+3x+3x+9
x(x+3)+3(x+3)
=(x+3)(x+3)
What is the value of this expression when y = 6? 6(4y−3)−9y
Answers
Answer:
72
Step-by-step explanation:
6(4(6)-3)-9(6)
6×(24−3)−54
I think the answer is 72, sorry if it is wrong
Answer:
I think it's 72
Step-by-step explanation:
4.6=24
24-3=21
21.6=126
9.6=54
126-54= 72
Evaluate the following expression if c = 8 and d = -5
3 * (c+d
Answers
Hi,
if c = 8 and d = -5:
3*(c + d) <=> 3*(8 + (-5))
= 3*(8 - 5)
= 3*3
= 9
✅^_^
Find the value of f(7).
y = f(x)
Answers
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answers
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Helppppppppppp meeeeeeee
Answers
Answer:
itll be number 2
Step-by-step explanation:
Answer:
8 I thing is correct so check well you will get the correct answer
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
last option
Step-by-step explanation:
b) 1/6 = 16.7 to 1dp
c) 45% = 45/100 = 9/20
d) 7/9 = 77.8% to 1dp
hat equation represents this sentence?
7 less than a number is 16.
7−n=16
n−7=16
7=16−n
like you cut g
7=n−16
Answers
Answer:
2nd option
Step-by-step explanation:
let the number be n then 7 less than this number is n - 7 , so
n - 7 = 16
what is 1,625 if you write it as a mathematical fraction?
Answers
Answer:
there are lots of ways. some of them are
1625/2, 3250/2, 4875/3........
xsquare- 2x -4 = 0 using completing Square method
Answers
Answer:
........................
How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answers
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Does the point (7,7) satisfy the equation y =8x?
Answers
Answer:
no
Step-by-step explanation:
y = 8x
Try (7, 7).
Is 7 = 8(7)?
Is 7 = 56?
The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
There are 20 red marbles
Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:
= 1 - 5/9
= 4/9
If there are 45 marbles in total, the number of red marbles will be:
= 4/9 × 45
= 20
Therefore, there are 20 red marbles.
Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).
Answers
Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
Need help on HS geometry
Answers
Answers:
321°Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]
[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]
[tex]\\ \tt\Rrightarrow 11x=33[/tex]
[tex]\\ \tt\Rrightarrow x=3[/tex]
m<YQR=16(3)-27=48-27=21°