Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
Please help me with this problem.
Answer:
1/4a -1/6b + 1/10c
Step-by-step explanation:
1/2 a -1/3 b + 1/5c + -1/4a + 1/6 b - 1/10c
Combine like terms
1/2a - 1/4a -1/3b + 1/6b +1/5c - 1/10 c
2/4a -1/4a -2/6b + 1/6b +2/10c -1/10c
1/4a -1/6b + 1/10c
Let $x$ be the smallest number in the following list, and let $y$ be the second smallest number (that is, the smallest number other than $x$). \[ 5, \qquad -22, \qquad \frac{-4}{7}, \qquad \frac{-3}{-5}, \qquad 3, \qquad \frac{-8}{13} \]Find $\frac{x-y}{y}$. Express your answer as a fraction in simplest form.
Answer:
139/4
Step-by-step explanation:
and find that\[
\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}
\]\[
\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.
\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}
\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\
&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\
&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\
&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\
&=\boxed{\frac{139}{4}}.
\end{align*}
1 pump can fill a pool in 8 hours the other pump can fill the pool in 10 hours if both of the pumps were turned on at the same time to fill the pool how long will it take
Answer:
4 4/9 hoursStep-by-step explanation:
In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.
Two pumps can fill:
1/8 + 1/10 = 5/40 + 4/40 = 9/40 of the tank in one hourTime required to fill the tank:
1/(9/40) = 40/9 = 4 4/9 hours
Find the distance from the point P to line m in the given figure.
A)170
B)85
C)17
D)34
( C ) √17
[tex] \sqrt{ {1}^{2} + {4}^{2} } \: = \sqrt{17} [/tex]
The Pythagorean Theorema^4+b^4 phân tích thành nhân tử
a^4+b^4=(a^2)^2+(b^2)^2
=(a^2+b^2)^2–2a^2b^2
=(a^2+b^2)^2—(√ 2ab)^2
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)
Must click thanks and mark brainliest
As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.
Answer:
The answer is 21.43731
Solve the system using the linear combination method.
first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20
Answer:
y = 10 , x= -3
Note: I have never hears this called "combination method"
if you research this on-line it is typically called the "elimination" or the "addition" method.
Step-by-step explanation:
5x + y = 5
10x + 3y = 20
~~~~~~~~~~~~~~~~~~~~~
multiply top equation by -2
-10x + -2y = -10
10x + 3y = 20
y = 10
x= -3
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answer:
1/36
Step-by-step explanation:
The only way of getting a total of 11 is rolling a 5 and a 6.
On each dice that is a 1/6 possibility
Multiply both possibilities to get 1/36.
what are the next two numbers in the sequence 21, 18, 13, 6,
Answer:
-3,-14
Step-by-step explanation:
21
18 (-3)
13 (-5)
6 (-7)
-9 .... 6-9 = -3
-11 ... -3 - 11 = -14
Answer: -3, -14
Step-by-step explanation:
You can see that from 21 to 18 the difference is -3
18 to 13 is -5
13-6 is -7
See the pattern yet? The difference of the numbers are subtracted by 2 again.
-3, -5, -7, then it's -9. then -11
So 6+(-9) = -3
-3+(-11) = -14
Select all that apply.
What are the angle measures in a 30-60-90 right triangles?
90°
150°
60°
120°
30°
Answer:
90°,60°&30°
Step-by-step explanation:
A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.
Can someone help me with this pls??
9514 1404 393
Answer:
a < -5 or 11 < a
Step-by-step explanation:
For there to be two points of intersection, there must be 2 real solutions to ...
ax +9 = -2x^2 +3x +1
Rewriting to standard form, we have ...
2x^2 +(a -3)x +8 = 0
The discriminant of this equation is ...
B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55
We want this to be greater than 0. Factoring, we get ...
(a -11)(a +5) > 0
This will be true for values of a that are less than -5 or greater than 11.
__
The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.
please help! i can never understand these problems
Answer:
1234567891011121314151617181920
A shirt purchased at full price for $20, or a $30 shirt purchased for 50% (half ) off?
HELP PLEASE?e?e?e?E?E?E?E?EE?E?E?e
Answer:
1/2
Step-by-step explanation:
You put 5 as a numerator and then 10 as a denominator which is 5/10. But you can simplify it, so you change it to 1/2. Hope this helps!
Answer:
1/2
Step-by-step explanation:
Which graph represents the compound inequality?
n<-2 or n24
-5 -4 -3 -2 -1 0
1
2
3
4 5
A++
-5 -4 -3 -2 -1
0
1
2
3
4 5
O
-5 4 -3 -2 -1 0 1
2
3 4 5
-5 4 -3 -2 -1
0
1
2
3
4
5
Answer:
The third graph is precise
Step-by-step explanation:
-2 > n ≥ 4
n<-2 or n≥4 compound inequality is represented in the third graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given inequality is n<-2 or n≥4
The third number line represents the inequality n<-2 or n≥4.
The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.
The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.
Hence, n<-2 or n≥4 compound inequality is represented in the third graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
One angle of an isosceles triangle is three times the
measure of each of the other two angles. Find the
measures of the angles.
Answer:
36°, 36°, 108°
Step-by-step explanation:
let the 2 congruent base angles of the isosceles triangle be x
Then the vertex angle is 3x
Sum the angles and equate to 180 ( angle sum of triangle )
x + x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36 , then
3x = 3 × 36 = 108
The angles are 36°, 36° and 108°
write the equation for a parabola with a focus at (-3,-5) and a directix at x=-7
Answer:
y = -28x²
Step-by-step explanation:
[tex]{ \bf{ {y} = 4a {x}^{2} }} \\ { \tt{y = - 28 {x}^{2} }}[/tex]
Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2
Please help me out . Find x please
Answer:
on my screen I cant see anything sorry!
Step-by-step explanation:
help please! make sure to tell me the answer and an explanation!
Answer: 10
Step-by-step explanation:
So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.
Please make me brainliest
There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?
Answer:
1.22
Step-by-step explanation:
divide 8.54 by 7 to get one serving
Find the area of a circle with radius, r = 6.48m. Give your answer rounded to 2 DP.
Answer:
Area = 131.9167322
Step-by-step explanation:
I'm not sure what 2 DP means so you will need to do that part.
area=pi*radius^2
area=3.14*42 (approx)
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.
Answer:
B) 8in
Step-by-step explanation:
Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?
Answer:
32
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
1 minute = 60 seconds
LCM of 60 and 72 = 360
360 seconds = 6 minutes
please help me with this problem !
Answer:
hh
Step-by-step explanation:
The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?
Answer:
70km and 80km
The option you chose is correct
Answer:
70 km and 80 km.
First city:
[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]
Second city:
[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]
sing white and red paint, which two mixtures result in the same shade of pink?
Answer:
B & C
Step-by-step explanation:
Mixture B:
4 white 2 red
Mixture C:
Divide the whole paint combinations by 2:
2 white 1 red
In that case, you are simply making less, but still have the same ratios. They are proportionate.
Happy learning!
--Applepi101
N Level 2017 1 Bryan is using a ladder which is 4.5 m long. He puts it against a wall so that the bottom of the ladder is 1.2 m from the wall. 4.5 1.2 The safe working angle for a ladder is between 74º and 76° to the horizontal. Is the ladder in a safe position for Bryan to use? Show the working on which you base your decision.
Answer:
133
Step-by-step explanation:
I am added all the degrees
Given:
Length of ladder = 4.5 meters
Length between ladder and wall = 1.2 meter
To find:
If the angle of the ladder is between 74° - 76°
Steps:
We know,
cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]
Here 'x' is the angle of the ladder. Substituting the values,
[tex]cos(x) = \frac{1.2}{4.5}[/tex]
[tex]x = cos^{-1}(\frac{1.2}{4.5} )[/tex]
[tex]x = cos^{-1}(0.2666)[/tex]
Now we can either use natural cos table or use aa calculator, i am going to use the calculator but if you want to know how to do it with the table, pls comment to this answer.
x = 74.533°
Since x > 74° and x < 76°, it is safe for work
Therefore, the angle is in the safe position for Bryan to use
Happy to help :)
If u need any help, feel free to ask
how many times are fives subtracted from 15 to get 0?
Answer:
3 times
I hope this will help you
round these numbers to the nearest thousand.
16. 45,378 17. 987 18. 4,397 19. 35,398 20. 1,059 21. 16,499 22. 9,501 23. 59,739 25. 1,099 26. 145,578 24. 99,999 27. 13,601
Answer:
16. 45,000
17. 1,000
18. 4,000
19. 35,000
20. 1,000
21. 17,000
22. 10,000
23. 60,000
25. 1,000
26. 146,000
24. 100,000
27. 14,000
Hope this helps!
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