Answer:
Option c
Step-by-step explanation:
A system of equations are given to us. And we need to solve them . The given system is
[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]
We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .
[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]
We got two values of x as 0 & 2 . Alternatively substituting these values we have ,
[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]
Thefore the required answer is ,
[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]
Answer:
C
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
What is 8/9 - (2/3)² ?
Answer:
4 over 9, 4/9
Step-by-step explanation:
have a good day:)
Work out
5 1/4+ 1/2 x2/3
Give your answer as a mixed number
Answer:
5 10/12
Step-by-step explanation:
using BODMAS
1/2×2/3=1/3
THEN; 5 1/4+1/3
Change 5 1/4 to 21/4 then add to 1/3
you get 70/12
divide 70÷12
answer 5 10/12
hope it helped
Negative five times two
Answer:
-10
Step-by-step explanation:
When multiplying a negative number by a positive number, you multiply the numbers normally and then add on a negative sign. When dealing with signs in multiplication/division, two positives make a positive, two negatives make a positive, and one negative and one positive make a negative.
Solve the following polynomial equation. Identify all solutions.
x^(3)+54x^(2)+53x=0
Brainlest + Thanks :)
help asap
find the inverse f(x) = 3х^2 - |
Answer:
[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]
Step-by-step explanation:
f(x) = 3[tex]x^{2}[/tex] - |
Let y= 3[tex]x^{2}[/tex]-1
Both side -1
y+1=3[tex]x^{2}[/tex]
[tex]x^{2}[/tex]= [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]
x= [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]
[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]
Pls HELP I don’t understand:(
Answer:
Step-by-step explanation:
This problem consists a very special right triangle: 30, 60, and 90 degree right triangle.
The 60 degree angle represents the opposite side, which in this case is 12. 12 = n[tex]\sqrt{3}[/tex] n = 4[tex]\sqrt{3}[/tex]
y = 2n, so it is 8[tex]\sqrt{3}[/tex]
Find the area of the object
Colton is going to invest in an account paying in interest rate of 6.3% compounded continuously how much wood coating need to invest to the nearest dollar for the value of the account to reach 22,700 in 16 years
Answer:
8284
Step-by-step explanation: I had the same question
What is value of A=sin -1(2/10 rounded to three decimal places
Answer:
If you meant: A = sin-1(2/10), A = 0.201
If you meant: A = sin(-12/10), A = -0.932
Step-by-step explanation:
how do I do this please give a explanation
No links please
Answer: 1/2a-4b
Step-by-step explanation:
When combining like terms you can only combine numbers with the same variables.
So we subtract 3/4a-1/4a=1/2a
And then we subtract the b values
2b-6b=-4b
1/2a-4b
The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?
Answer:
[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle
Step-by-step explanation:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] where (h, k) is the center and r is the radius
In this case h = 2 and k = 3 and r = 6 (see below)
r adius =
[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]
Therefore, [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle
The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.
What is the general equation of a circle?The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.
The general equation of a circle is:
[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
where (h, k) is the center and r is the radius
The point (- 3, 6) is on a circle with a center at (2, 3).
here, h = 2 and k = 3
[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]
therefore, the radius is 6 units.
Now, the equation of a circle is:
[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]
Learn more about the equation of a circle;
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the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement
Answer:
6/2652 could possibly be the answer?
it really depends on the amount
Step-by-step explanation:
Plz chooses one more question because I already answered one
Answer:
C and E
sorry for the late answer
Hope it helps!Hope it helps!:)You start at (-4, 1). You move down 5 units. Where do you end?
Answer:
You end will up at (4+1, 5), which is (5,5).
What is the median of the data?
11,16,12,7,23,9,5,5
Answer:
5,5,7,*9,11,*12,16,23
Step-by-step explanation:
Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.
9+11=20 divided by 2=10
Please fill in the missing cells and describe the rule
Answer:
The OUT for -3 is 6, and the OUT for 1 is 2.
Step-by-step explanation:
The rule is for any x, OUT(x) = IN(x) * (x+1)
Below is showing the rule:
IN=2: 2*3=6
IN=4: 4*5=20
IN=10: 10*11=110
etc.
If I helped, a brainliest would be greatly appreciated!
Translate the sentence into an inequality.
The quotient of b and 3 is less than or equal to 18.
Answer:
b/3 <= 18
I hope this helps you!
And congratulations on your first question!
Find the distance between (-1,4) and (-1,12)
Answer:
8 units
Step-by-step explanation:
Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*
Answer:
Step-by-step explanation:
8 because [tex]\sqrt{(-1+1)^{2}+{(12-4)^{2}}[/tex] = sqrt(8^2), which equal 8
WILL GIVE BRAINLIEST
Describe the end behavior of the following function:
F(x) = 2x² + x²
A. The graph of the function starts high and ends low.
B. The graph of the function starts low and ends high.
O C. The graph of the function starts high and ends high.
O D. The graph of the function starts low and ends low.
Answer:
C
Step-by-step explanation:
-2x+6y=12 x-3y=3 graph the equations
Answer:
here ya go bruv:
Step-by-step explanation:
:3
Answer:
The graph, with the answers, is in the picture below.
Step-by-step explanation:
−2x + 6y = 12
Slope: [tex]\frac{1}{3}[/tex] y-intercept: (0, 2)
LINE COLOR: RED
x − 3y = 3
Slope: [tex]\frac{1}{3}[/tex] y-intercept: (0, −1)
LINE COLOR: BLUE
The stem and leaf plot shows the number of points scored each game during his 15 game season how many games did the team score 70 points
Answer:
the answer is 8 edge 2020
Step-by-step explanation:
can i get brainlist to
Use a graphical method to find estimates for the solutions of the simultaneous equations x^2 + y^2=2.25 y-x=1
NEED ASAP WILL MARK AS BRAINLIEST
Answer:
A) which graph represents the equation x^2 + y^2 = 2.25?
First, the general equation for a circle can be written as:
(x - a)^2 + (y - b)^2 = R^2
This is a circle of radius R centered in the point (a, b).
Then we can rewrite our equation as:
(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2
Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5
Then we can see that the correct one is graph C.
b) Now we want to solve the system:
x^2 + y^2 = 2.25
y - x = 1
graphically.
To do it we need to graph both equations and see in which points do they intersect.
We already have the first equation graphed, so we only need to also graph the linear equation:
y - x = 1
y = 1 + x
An example of this can be seen in the graph below:
There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)
If the effective annual interest rate of a loan is 14.6%, what is the nominal annual interest rate, correct to one decimal
place, if interest compounds monthly?
Answer:
13.7%
Step-by-step explanation:
Nominal interest rate = [tex](\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m[/tex]
where m = number of compounding = 12
([tex]\sqrt[12]{1.146}[/tex] - 1 ) x 12 = 0.137054 = 13.7%
To round to one decimal place means that there should be only one figure after the decimal place.
The owner of Paul's Pizza Place recorded how many pizzas the restaurant sold each day for a
month.
Pizzas sold
0
50
100
150
200
250
What was the fewest pizzas sold in a day?
pizzas
(PLEASE DO NOT SEND ME A FILE! SEND ME THE ACTUAL ANSWER!)
Answer:55
Step-by-step explanation:well in this question it said what is the lowest number of pizza they sold so that how you find the answer
The requried, given data shows that the fewest pizzas sold in a day were 55.
What is a box plot?A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.
The owner of Paul's Pizza Place recorded the number of pizzas sold each day for a month, and according to the data provided, the minimum number of pizzas sold in a day was 55
It is important to note that the data provided only shows the number of pizzas sold on six days out of the entire month, based on the given box plot, we can say that the fewest pizzas sold in a day during the recorded period were 55.
Learn more about box plots here:
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please help i need to know asap!
Answer:
QR because its is more responsible than PR
Please I need someone to help me with this math problem!!
= 2x² + 7/x
Step-by-step explanation:
2x³ + 7/x
= 2 • x • x • x + 7/x
= 2 • x • x • x/x + 7/x
= 2 • x • x + 7/x
= 2x² + 7/x
-TheUnknownScientist
Answer:
2x^2 + 7/x................
Tai sailed east from the marina for 48 miles and then sailed south for 14 miles, as shown in the diagram. 220x56 What is the shortest distance Tai can sail to return to the marina? A 62 mi B 82 mi C 50 mi D 34 mi
Answer:
C 50 mi
Step by step explanation:
The shortest distance Tai can sail to return to the marina is 50 miles.
What is Pythagoras Theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Here, base = 48 miles
perp. = 14 miles
By Pythagoras Theorem,
(Hypo.)² = (Perp.)² + (Base)²
H² = 14² + 48²
H² = 196 + 2304
H² = 2500
H = 50 miles
Thus, the shortest distance Tai can sail to return to the marina is 50 miles.
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math question pls help
a side of a square is 83/2 inches. using the formula A=s^2 determine the area of a square
Answer:
47
Step-by-step explanation:
Convert 1.25% into fraction
Answer:
5/4
Step-by-step explanation: