Solve the following system of equations and show all work.
y = x^2 + 3
y = x + 5
please help me! i know that i have to do substitution or something like that but i got really confused halfway through it and i also need to show all of the work!
Answers
Eliminate one unknown by subtracting or adding the two equations.
In this case I subtracted the two to eliminate y
and because you have an exponent you will have two answers as the line passes through the parabola.
The answers are (2,7) and (-1,4)
I took the liberty to show you how to solve by elimination in the picture below and graphed it out to help prove it.
It’s a pretty tricky problem, I hope this helps!
Good luck with your studies!
Related Questions
HELPPPP FIND THE AREA
Answers
you can just split the figure in 2 separate figures and them add the areas:
area rec. 1:
3m×3m= 9m²
area rec. 2:
3m× (2m+3m)
= 3m×5m
=15m²
total area:
9m²+15m²= 24m²
Answer:
Area = 24
Step-by-step explanation:
Work and explanation ~
The table shows survey results for 200 patients who had either hip or knee surgeryIf one person is selected randomly, what probability he or she was satisfied, given that he or she had knee surgery? (Round to the nearest tenth of a percent.)
Answers
Answer:
Step-by-step explanation:
Answer:
B. 73.7%
Step-by-step explanation:
Usa Tesprep explained
I'LL MARK BRAINLIST
A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are possible?
Answers
Use the discriminant to determine how many and what kind of solutions the quadratic equation x^2 - x = 1 has.
1. no real or complex solutions
2. two complex (nonreal) solutions
3. one real solution
4. two real solutions
Answers
Answer:
4. two real solutions
Step-by-step explanation:
[tex]x^2 - x = 1[/tex] (Given)
[tex]\implies x^2-x-1=0[/tex]
Equating it with [tex]ax^2+bx+c=0[/tex]We find: a = 1, b = -1, c = -1Next, we calculate the discriminant of the given quadratic equation by plugging the values of a, b and c in the formula [tex]\implies b^2-4ac[/tex][tex]b^2-4ac\\=(-1)^2-4(1)(-1)\\=1+1=2>0\\\implies b^2-4ac >0[/tex]
-> Given quadratic equation has two real solutions.
Solve for x in the diagram below.
Answers
A line passes through the pointa (-8,8) and (12,7)
Answers
Answer: y= -1/20x + 38/5
or
y= -1/20x + 7.6
Step-by-step explanation:
y-y1 = m(x-x1)
m = 8-7 / -8 - 12 = 1/-20 = -1/20
y-8 = -1/20(x+8)
y=-1/20x - 8/20 + 160/20
y= -1/20x + 38/5
or
y= -1/20x + 7.6
help me out on this..
Answers
Answer:
The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!
Step-by-step explanation:
solve for x : -172 = -11x + 4
Answers
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Alright so:
-172 = -11x + 4
-4 - 4 (-4 on both sides)
so,
-176 = - 11x
divide by -11
so,
-11x ÷ - 11 = x
-176÷-11= 16
x=16
A company makes an ice-cream treat in the shape of a hemisphere on top of a cone, as shown below.
2 cm
10 cm
Answers
Answer:
56/3 pi cm^3
Step-by-step explanation:
1/2 volume of sphere = 1/2 4/3 pi r^3
volume of cone 1/3 pi r^2 h
r =2 h = 10
result : 56/3 pi cm^3
The volume of the ice cream is 58.64 cubic cm.
What is a three dimensional figure?A three dimensional figure has three dimensions as length, breadth and height. The volume of a three dimensional figure is the amount of the substance contained by it.
Given that,
The height of cone part of the ice cream is h = 10 cm.
The radius of the hemisphere is r = 2 cm.
As per the diagram given the radius of the hemisphere is equal to the radius of cone as 2 cm.
The volume of hemisphere is given as (2/3) × πr³.
And, the volume of cone is given as (1/3) × πr²h.
Now, the volume of the ice cream treat is equal to the sum of the volume of cone and hemisphere as,
V = (1/3) × π × r²h + (2/3) × π × r³
Substitute the values to get,
V = (1/3) × π × 2² × 10 + (2/3) × π × 2³
= (56/3) × π
= 58.64
Hence, the volume of the ice cream treat is 58.64 cubic cm.
To know more about Three dimensional figure click on,
https://brainly.com/question/24303419
#SPJ2
-5=0.1x-8.5 what is the answer
Answers
Answer:
x = 35
Step-by-step explanation:
hope this helps
Answer: x = 35
Step-by-step explanation:
-5 = 0.1x - 8.5
Step 1: Rewrite the equation:
0.1x - 8.5 = -5
Step 2: Add 8.5 on both sides.
0.1x = 3.5
Step 3: Divide 0.1 on both sides.
x = 35
an equation for 72th term in 4,7,10,13
Answers
Answer:
[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]
[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]
Step-by-step explanation:
Let the series be: 4, 7, 10, 13,.....
Given,
First term (a) = 4Common difference (d) = [tex]a_{2} - a_{1} = 7 - 4 = \bf\:3[/tex]Number of terms (n) = 72[tex]72^{nd}[/tex] term of the series ([tex]a_{72}[/tex]) = ?We know that,
[tex]\bf\:a_{n} = a + (n - 1)d[/tex]
Equation for the [tex]72^{nd}[/tex] term of the series,
[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]
By using this formula & substituting the values,
[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]
•°• The [tex]72^{nd}[/tex] term of the series is 217.
[tex]\rule{150pt}{2pt}[/tex]
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as kim's fish
Answers
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.
What is the fundamental principle of multiplication?
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.
Kim caught a fish of length = 9/10 m
Doug caught a fish of length = 2/3 as long as Kim's fish.
= 2/3 x 9/10
= 18 / 30
= 3/5
Thus, Doug caught a fish that was 3/5 meters long.
Learn more about multiplications;
https://brainly.com/question/14059007
Find the surface area of the triangular prism shown below.
Answers
Answer:
136
Step-by-step explanation:
5*7 = 35
5*7 = 35
4*6/2 = 12
4*6/2 = 12
7*6 = 42
Add them all up
Tell whether the ordered pair is a solution of the linear system.
(4, -1)
x + 2y = 2
x - 2y = 6
Answers
Answer:
(4,-1) is a solution
Step-by-step explanation:
x + 2y = 2
x - 2y = 6
We want to see if (4,-1) is a solution to the system.
To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution
x + 2y = 2
==> plug in x = 4 and y = -1
4 + 2(-1) = 2
==> multiply 2 and -1
4 - 2 = 2
==> subtract 2 from 4
2 = 2
x - 2y = 6
==> plug in x = 4 and y = -1
4 - 2(-1) = 6
==> multiply -2 and -1
4 + 2 = 6
==> add 4 and 2
6 = 6
Both equations are true therefore (4,-1) is indeed a solution to the system
You want to know the average number of goals scored by professional hockey players. Should you survey the population or a sample?
Answers
Answer:
Populaiton
Step-by-step explanation:
Surveying the population will give a more accurate data set as the sample size could be biased based on the characteristics of specific players.
i need answer please
Answers
Answer:
∠ BED = 57°
Step-by-step explanation:
angles on the circumference subtended by the same arc are congruent,
∠ BCD and ∠ BED are both subtended by arc BD , then
∠ BED = ∠ BCD = 57°
how do i do 15, 16???
Answers
e.g for 15:
a = 3, b is missing, c = 10
A is missing, B is ?, C is 90
x – 7y + x + y answer
Answers
Answer:
2x - 6y
Step-by-step explanation:
Combine like terms
(x) - 7y + (x) + y
2x - 7y + y
Combine like terms again
2x - (7y) + (y)
2x - 6y
Hope this helps!
Hope this helps
Richard and Cameron buy a carton containing 6 66 eggs. The back of the carton says, "The expected number of broken eggs per package is 0.12 0.120, point, 12." Richard says, "The probability that one of these cartons contains a broken egg is 0.12 0.120, point, 12, on average." Cameron says, "For every 100 100100 packages like this, we'd predict about 12 1212 broken eggs in total." Whose statement is correct based on the expected value?
Answers
Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np.
In this problem, we have that:
The probability of a package containing a broken egg is of p = 0.12.There is a sample of 100 packages, hence n = 100.Thus, the expected value is given by:
E(X) = np = 100 x 0.12 = 12.
Hence, Cameron's statement is correct.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
i really need help ASAP
Answers
Answer:
B
Step-by-step explanation:
2q+437= 931
subtract 437
2q= 494
divide by 2
q= 247
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answers
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per sen
function f(h) = -8t² +8t + 12 represents the height, h, in feet of the skateboarder after t seconds.
How many seconds was the skateboarder airbound
Answers
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
Below in bold.
Step-by-step explanation:
When he lands h = 0 so
-8t^2 + 8t + 12 = 0
Solving for t
t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16
t = 1.82 seconds.
If the quadratic equation x2 + 6x + 19 = 0 is rewritten in the form (x - p)2 = q ,
what is the value of p and q
Answers
Answer:
p = -3
q = -10
Step-by-step explanation:
[tex]x^{2}+6x+19=x^{2}+6x+9+10[/tex]
[tex]\text{we know that} \ x^{2}+6x+9=\left (x+3)^2\right\ \text{ because it is a special product}[/tex]
[tex]\text therefore \ ,\ x^{2}+6x+19=(x + 3)^2+10[/tex]
[tex]\text therefore \ ,\ x^{2}+6x+19=0 \ means\ (x + 3)^2= -10\ means\ (x -\ - 3)^2= -10[/tex]
Which of the following statements is always true?
a. Workers being paid on commission make less money than if they are salaried.
b. Workers being paid on commission have a salary that varies based on their performance.
c. Workers being paid on commission are stressed over the amount of earnings they will have.
d. Workers being paid on commission increase the accounting costs of the employer.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
hope it helps <3333
You look beautiful
please answer, thank you so so so so so so so so much!
Answers
Answer:
A = 160 in²
Step-by-step explanation:
Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.
Rectangle A
A = 10 x 7
A = 70 in²
Rectangle B
A = 11 x 6
A = 66 in²
Rectangle C
A = 4 x 6
A = 24 in²
Total Area
A = 70 + 66 + 24
A = 160 in²
Hope this helps and God bless!
Answer:
160
Step-by-step explanation:
Do (6x4)+(6x18)+(7x4)
You don't need to put the parentheses but it makes it look better and make it easier to understand.
A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
Answers
Answer:
4/10 = 2/5 = 40%
Step-by-step explanation:
Q,R,S,T = 4
Q R S T U V W X Y Z =10
Please hurry... Have a blessed day!
Answers
Answer:
A
Step-by-step explanation:
divide all sides by four and you get first answer.
divide every side by 4, and you get the results
Tell me the answer please 1+2-3+4-5+6-7+8-9=
Answers
Answer:
1+2-3+4-5+6-7+8-9=3-3+4-5+6-7+8-9=-1+6-7+8-9=5-7+8-9=6-9=-3
Step-by-step explanation:
Answer: 45
Step-by-step explanation: Add all the digits
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
Answers
Answer:
It's {2} since it's the common between A and B
In a box there are 11 similar balls where 8 are red and the remaining are blue. if we draw one ball at random.then what is the probability to draw a blue ball?
Answers
Answer:
27%
Step-by-step explanation:
There are 11 balls in total. If 8 are red, (11-8) are blue =3
3/11 is the fraction of blue balls. Convert to percent =27%