It means that the point (6,2) is on both graphs at the same time. In short, it is the intersection point of the two graphs.
Algebraically, the ordered pair (x,y) = (6,2) makes all of the equations in the system to be true equations. A true equation is one where it simplifies to have the same number on both sides.
A system with at least one solution is considered a consistent system. If there is only one solution, then the system is also considered independent.
Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.
Answer:
x = 2, x = 4, x = -3Step-by-step explanation:
GivenP(x) = x3 - 3x2 - 10x + 24One of zeros is x = 2To findAll zerosSolutionx³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:
x³ - 2x² - x² + 2x - 12x + 24 =(x - 2)(x² - x - 12) =(x - 2)( x² - 4x + 3x - 12) =(x - 2)(x - 4)(x + 3)Other zeros are x = 4 and x = -3
In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round your answer to the nearest whole number.
And can you explain why please :D
Answer:
Step-by-step explanation:
10000*4%= 400 Geese year1
10400*4%=416 Geese year 2
10816*4%= 432.64 Geese year 3
11,248.64*4%= 449.95 Geese. year 4
11248.64+449.95= 11698.59
11698.59-10000=1698.59
Increased by 1699 Geese.
hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?
Answer:
The answer is 26.
Step-by-step explanation:
In a flower garden there are 3 tuilps for every 7 daisies if there are 21 tulips his many daisies are there
Answer:49
Step-by-step explanation:
3:7 tulips to daisies
so if there are 3 tulips what * what = 21? 7
so 7 * 7 =49
there are 49 daises
In the diagram shown below, parallel lines m and n are crossed by transversals r and s. Which of the following is the sum of angles 1 and 2 pictured?
Answer:
3. 151°
Step-by-step explanation:
Since m and n are parallel, therefore:
m<1 + 75° = 180° (consecutive exterior angles are supplementary)
Subtract 75 from each side
m<1 = 180 - 75
m<1 = 105°
m<2 = 46° (corresponding angles are congruent)
Sum of <1 and <2 = 105° + 46° = 151°
Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.
Answer:
yes
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 4 ← is in slope- intercept form
with slope m = - 1
5x - 5y = 20 ( subtract 5x from both sides )
- 5y = - 5x + 20 ( divide all terms by - 5 )
y = x - 4 ← in slope- intercept form
with slope m = 1
Thus product of their slopes is - 1 × 1 = - 1
Therefore the lines are perpendicular
Hahahahaha help me thank you
Answer:
Step-by-step explanation:
It is A and C
Write the equation of an ellipse
with the given characteristics:
Vertex at (3,-1)
Vertex at (3,-11)
Focus at (3,-9)
Answer:
ahhha lol
Step-by-step explanation:
What is the equation of a line with a slope of 6 and a y-intercept of -8
Answer:
COULD BE Y=6x-8
Step-by-step explanation:
Answer:
y=6x-8
Step-by-step explanation:
I'm using the y=mx+b formula. m always represents the slope, and b the y-intercept. So all I did was plug the numbers in. (This can help with determining the slope and y-intercept as well, btw)
Find the reciprocal.
b
Answer:
1/b
Step-by-step explanation:
b=b/1. 1/b would be a reciprical because it switches the numberator and denominator.
Read the information in the box below. Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 312times more than the rainfall during September of the same year. How much rain fell during the month of September?
Answer: 4 inches
Step-by-step explanation:
From the question, we are informed that Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 3 1/2times more than the rainfall during September of the same year.
The amount of rain that fell during the month of September can be calculated as:
= 14 inches ÷ 3 1/2
= 14 ÷ 7/2
= 14 × 2/7
= 28/7
= 4 inches
The rain that fell during the month of September was 4 inches.
(i) 25x4 – x2 - 6x -9
Answer:8x+91
Step-by-step explanation:8x + 91
Simplify simplify √18
Answer:
Step-by-step explanation:
I can help
Step 1
√18 Simplify
3√2
Step 2
3√2 Check
Answer
3√2
Hope this helped
help please!! i will mark you brainliest
Answer:
the equation is (y-3)^2 = 4(x+3)
Is (10,2),(-3,4),(-10,6),(-3,6) a function
orge had $235.00 in his checking account. He withdrew $20.00 each day on Monday, Tuesday, and Wednesday. George got paid on Friday and deposited $130.00 into his checking account. Then on Saturday, he withdrew two checks- one for $167.00 and one for $88.00. What was his checking account balance after writing the checks?
Answer:
Orge has $50 left in his checking account.
Step-by-step explanation:
5-7 <-3 : what is the simplified form of the inequality below ?
Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
What is the distance between the points (8,-4) and (-5, -4)
Answer: 13
Step-by-step explanation:
what is the correct answer?
Answer:
Step-by-step explanation:
124 I think
how many times does 3/4 go into 12
In other words 12 ÷ 3/4.
12 ÷ 3/4
12/1 • 4/3
48/3
Answer: 16
Can somebody please help me with this math question
Answer:
x=4 degrees
Step-by-step explanation:
its an equilateral triangle so all sides are equal, if one angle is 10x+20,then the rest are each 10x+20.This is a triangle and it adds up to 180 degrees. So in total, (10x+20)×3=30x+60.So you do this, 30x +60=180 degrees, you take the sixty to the other side and subtract it from 180 ,you'll get 120 degrees, then divide 120by 30x
Explain how solving -7y > 161 is different from solving 7y > -161.
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Answer:
17. x = -2
18. All real numbers
19. No solution
Step-by-step explanation:
17. 10z + 26 = -3z
-10z -10z
26 = -13z
Divide both sides by -13
-2 = x
18. 4(3x - 5) = 2(6x - 10)
Distribute the 4
12x - 20 = 2(6x - 10)
Distribute the 2
12x - 20 = 12x - 20
Both sides are equal
All real numbers
19. 6m - 3 = 3(2m - 4)
Distribute the 3
6m - 3 = 6m - 4
+3 +3
6m = 6m - 1
-6m -6m
0 = -1
No solution
I hope this was helpful! <3
Could I get brainliest?
a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal number of questions in the examination
Answer:
There is a total 50 questions.
Step-by-step explanation:
Let x = total questions in the exam
Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.
With this information we can write:
[tex]18\%x=9[/tex] (Given that the student made 9 mistakes)
[tex]x=9\div18\%[/tex] (divide 18% on both sides)
[tex]x=50[/tex]
∴ There was a total of 50 questions in the examination.
Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
five hundred thirteen hundredths
five thirteen thousandths
five hundred thirteen thousandths
five hundred thirteen tenths
Answer: five hundred and thirteen thousandths
Step-by-step explanation:
1. Is the ones place .0 is the tenths .00 is the hundreths .000 is thousandths look at the decimal and however many numbers are in front or behind.
Answer:
513
Step-by-step explanation:
Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap
Since I asked before and no one answered i’m posting it again :)
Answer:
40
Step-by-step explanation:
Making sure
Suppose that in an alternate universe, the gambler's fallacy is true: the more a gambler loses, the more likely she is to win the next game. To be precise, if the gambler loses a game, she will win the next game with probability 3/4. If the gambler wins the game, she will win the next game with probability 1/2.
Answer and explanation:
The gambler's fallacy is the fallacy of belief that if an event such as a loss occurs more frequently in the past, it is less likely to happen in the future. We assume here that this belief is true, therefore
If she loses, her probability of winning increases =3/4
If she wins, her probability to win is normal =1/2
Given that probability of winning is 1/2
Probability of losing is 1-1/2=1/2
Probability that she wins the tournament is probability that she wins the first two games and loses the last or wins the first game, loses the second and wins the last or loses the first game and wins the last two games or probability that she wins all three games
=1/2*1/2*1/2+1/2*1/2*3/4+1/2*3/4*1/2+1/2*1/2*1/2
=25/48
Probability of winning the tournament if she loses the first game
=1/2*3/4*1/2= 3/16
Note: whenever there is "or" in probability, you add
A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
Q
ZOO
What is the equation in slope-intercept form of the line that passes through the points
(-6, 4) and (6, 10)?
Answer:
[tex]y = \frac{1}{2} x+7[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
[tex]\frac{10-4}{6-(-6)}[/tex]
Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12
[tex]\frac{6}{12}=\frac{1}{2}[/tex]
The slope is [tex]\frac{1}{2}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:
[tex]10 = \frac{1}{2}(6)+b[/tex]
10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y = \frac{1}{2} x+7[/tex]
0.08 as a ratio term
Answer:
4:10=2:5
Step-by-step explanation:
Answer:
4:10 can be used as a ratio term