The solution to the system of equation are (0, -2) and (1, 0)
Solution to system of equationsSystem of equations are equations that has unknown and more than 1 equations.
Given the system of equations
y = x^2 + x – 2
y = 2x – 2
Equate both expressions
x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1
If x = 0
y = 0 - 2 = -2
If x = 1
y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)
Learn more on system of equation here: https://brainly.com/question/13729904
#SPJ4
PLS help quickly
Image is attached below
(Answer is !15/23!, I ended up doing it myself and actually got it correct)
Answer: ok so the answer is 15/23 , as a fraction .
Step-by-step explanation: there are 6 blue tokens , 9 green tokens and 8 red tokens . We have to know how many tokens in total so we add them and the answer is 23 so 23 tokens in total . He asked about the probability of green or blue tokens . So add how many green or blue tokens are there so the answer is 15 . So the probability of finding green or blue tokens is 15 over 23 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Select the correct answer.
The numbers of pages in the books In a library follow a normal distribution. If the mean number of pages is 180
and the standard devlation is 30 pages, what can you conclude?
A. About 60% of the books have fewer than 150 pages.
B. About 16% of the books have fewer than 150 pages.
C. About 95% of the books have more than 150 pages.
D. About 16% of the books have more than 150 pages.
Answer:
there are 83 percent of books
draw a triangle with angle measures of 45 and 32 and included side of 2 inches
Answer:
Step-by-step explanation:
t
Angle Relationships:Question 4
Parallel Lines m and n are cut by a transversal, t, as shown.
If mz3 is 60°, what is the m25?
N
Select one:
m
3/4
o
O
60° because 23 and 25 are alternate exterior angles
O
60° because 23 and 25 are alternate interior angles
6/5
7/8
n
O 60° because 23 and 25 are supplementary angles
60" because 23 and 25 are corresponding angles
Answer: 60° because 23 and 25 are alternate interior angles
Step-by-step explanation:
A rectangular prism has a volume of
100 cm cubed. The base of the prism is a square,
and the height is the product of the length
and width of the prism. Find the
exact
dimensions of the prism.
The exact dimension of the prism is as follows;
height = x²length = xwidth = xVolume of a rectangular prismvolume of rectangular prism = Bh
where
B = base areah = height of the prismTherefore,
volume = 100 cm³
Hence, the base of the prism is a square. The whole side of the base is equal.
Therefore,
length = width = x
x² = h
Therefore,
x² × x × x = 100cm³
x⁴ = 100
volume = x = [tex]\sqrt[4]{100}[/tex]
learn more on rectangular prism here : https://brainly.com/question/21308574
#SPJ1
Suppose that x has the density function f(x) = cx 0 < x < 2 identify c
The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
What is probability density function?The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.
Given that:
[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]
Here we can see that the value of x is varies as 0,1,2
So at 0,1,2 the value of the function is
[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]
So the probability density function is given as:
[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]
[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]
Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
To know more about probability density function follow
https://brainly.com/question/14214648
#SPJ4
these are true or false i need help with number 3 if u want to help with the others your welcome
Answer:
3. True, wall clouds are good indicators that a tornado could form
Step-by-step explanation:
Which is equivalent to tan θ?
A sinθ/cosθ
B secθ/cscθ
C cosθ/sinθ
D cscθ/secθ
Which one is it, and answer quick, and don't be a troll.
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
What is tanθ?Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
tanθ = y/x, sinθ = x and cosθ = ySubstituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
Learn more about tanθ here:
https://brainly.com/question/26609988
#SPJ1
Help!! I'm confused.
Answer:
12 seconds
Step-by-step explanation:
we need to find the Lcm which is 12
they both flash after 12 seconds
Answer:
Every 12 seconds
Step-by-step explanation:
You must find the LCM (Least common denominator)
4 x 3 = 12
Because 3 goes into 6 and 4 is four so the LCM is 12
11, 15, 19,... Find the 46th term.
WILL GET BRAINLIEST!!!!!!!!
Answer:
191
Step-by-step explanation:
the rule is +4 so 11+45*4=191 (45 is the number not including the first one)
191 is the answer
Answer:
191
Step-by-step explanation:
First, determine if the sequence is arithmetic or geometric.
If it is arithmetic, the difference between consecutive terms is constant.
If it is geometric, the ratio between consecutive terms is constant.
[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]
As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 11d = 4Substituting the given values into the formula to find an equation for the nth term:
[tex]\implies a_n=11+(n-1)4[/tex]
[tex]\implies a_n=4n+7[/tex]
Therefore, to find the 46th term, substitute n = 46 into the equation:
[tex]\implies a_{46}=4(46)+7=191[/tex]
What is the range of the function f(x) = x^3 - 3x^2 - 4x
Last one guyss huhu thank youu
[tex] \huge \rm \color{red}help \: pls[/tex]
Answer:
1/2 split into 1/3 = 1/6
Kianna and her friends collected pledges for a local walk-a-thon.
They recorded the number of pledges they each received in a frequency table.
Chart with Pledges and their Frequency. 30 to 39 has frequency as 1, 40 to 49 has frequency as 7, 50 to 59 has frequency as 4 and 60 to 69 has frequency as 1.
How many walkers received more than 39 pledges?
A. 13
B. 11
C. 7
D. 12
Answer:
Its 12
Step-by-step explanation:
It says what is MORE than 39 so you count every "I" and you get 12.
What is the solution to 3|–3x 9| = –18? x = –5 x = 5 or x = 1 x = –5 or x = 1 no solution
Answer:
81
Step-by-step explanation:
that is the solution above
what are the solutions to the equation 3/4x^2=48
Will mark brainliest if given the right answer Solve the given system of equations. y = 8x + 6
y = 32x
Answer:
( [tex]\frac{1}{4}[/tex], 8 )
Step-by-step explanation:
y = 8x + 6 → (1)
y = 32x → (2)
substitute y = 32x into (1)
32x = 8x + 6 ( subtract 8x from both sides )
24x = 6 ( divide both sides by 24 )
x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]
substitute this value into either of the 2 equations and solve for y
substituting into (2)
y = 32 × [tex]\frac{1}{4}[/tex] = 8
solution is ( [tex]\frac{1}{4}[/tex], 8 )
Find the output for the graph
y = -2x +6
when the input value is 4.
y = [?]
Answer:
x=2
Step-by-step explanation:
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
A triangular pyramid…
Pls help me out
See image attached
Thanks!!!!
Answer:
[tex]\frac{12g^{5} }{h}[/tex]
Step-by-step explanation:
[tex]\frac{12g^{8}h^{4} }{g^{3}h^{5} } =12g^{(8-3)} h^{4-5} =12g^{5} h^{-1} =\frac{12g^{5} }{h}[/tex]
Hope this helps
please help! also please explain how to solve
Answer:
C
Step-by-step explanation:
The fast way: Testing the options!
Teacher loving way:
An= d×n + A0
d= A4-A3=A5-A4=A6-A5...= 6
A3= 0 = 6×3 + A0
A0= -18
Then the equation is: An= 6n - 18
please help me answer this
Answer:
(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)
Step-by-step explanation:
In these intervals, the y value is decreasing.
In the wholesale store you have to pay 1500 EUR for 120 identical tea boxes. How many such tea boxes can be purchased for 900 Eur?
5. Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
Step-by-step explanation:
Formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
……………………………………………………………
if c, d, e, and f are positive real numbers
then
c f + d e is a positive number.
then
The product of the two complex numbers
lies in Quadrant 1 or Quadrant 2.
Since , c, d, e, and f are positive real numbers
Then
The two complex numbers c + d i and e + f i lie in Quadrant 1
We want to find an example of two complex numbers
That lie in Quadrant 1 ,such that ,their product lies in the other possible
Quadrant, which is Quadrant 2.
EXAMPLE:
Let c + d i = 1 + i
e + f i = 2 + 3i
By applying the formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
We get :
(1 + i)(2 + 3i) = -1 + 5i
Find the next two terms in this
sequence.
1, 2, 6, 24, 120, [?],[]
1x1=1
1x2=2
2x3=6
6x4=24
24x5=120
120x6=720
720x7=5040
the answer is 720 and 5040
If the simple interest on $7000 for 10 years is $6300, then what is the interest rate?
A shipping box in the shape of a rectangular prism has the dimension shown.
What is the volume of the box in cubic feet?
Answer:
18 feet³
Step-by-step explanation:
3 · 3 · 2 =
9 · 2 =
18 feet³
A semicircle had an area of 76.97 km squared. Find it's radius
Answer:
[tex]r = 7\ km[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Since we know that a semicircle is half of a circle, we can say the area is:
[tex]A = \frac{1}{2}\pi r^2[/tex]
From here solve for r:
[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]
yeah I still don't get how the pythagorean theorem works sue me.
Answer:
22.25
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
a---leg a=17
b---leg b=?
c----hypotenuse c=28
[tex]17^2+b^2=28^2\\289+b^2=784\\b^2=495\\\sqrt{b^2}=\sqrt{495}\\b = 22.25[/tex]
