the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1
Answers
Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
Related Questions
Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3
Answers
The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
[tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]
We have to calculate function value when [tex]x=3[/tex].
[tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]
Thus, the function value of given function at x = 3 is 63.
Learn more about the function value here:
https://brainly.com/question/875118
George borrowed $25,000 for a new car. If George pays simple interest at a rate of
4/12% for 4 years, how much interest will he pay?
Answers
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
Answer:
$93,585.53
Step-by-step explanation:
If he is paying interest continually, you would use the formula Pe^rt
25000e^.33(4)= 3,585.53
If he used any other type of interest (monthly=12, quarterly=6, semi-annually=2, or annually=1) then you would use the formula p(1+r/n)^nt
25000(1+.33/n)^n(4)
n= put the number for how much you pay interest
z = y + x + m , solve for x
step by step
Answers
I hope this helps you
Good luck
You got this :)
Which expression is equivalent to 7a -8-12a+4?
A) -9a
B) 31a
C) -5a - 4
D) 19a + 12
Answers
-8+4 = -4
7a-12a = -5a
Your answer is C since when you put those common terms together you get -5a-4!
Please give brainliest❤️
The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138, whereas, the total price of two DVDs and five movie tickets is $96. What is the price of one movie ticket? Answer as a number with NO units and NO decimals. Only give the answer to the question asked.
Answers
Answer:
Step-by-step explanation:
Let the price of DVDS = x
The price of movie tickets = y
The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138,
= 5x + 4y = $138
The total price of two DVDs and five movie tickets is $96.
2x + 5y = $96
Hence:
5x + 4y = $138.... Equation 1
2x + 5y = $96..... Equation 2
What is the price of one movie ticket?
Elimination method
2y = 204
y = 204/2
y = 102
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
Answers
Answer:
±12.323
Step-by-step explanation:
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
The formula for margin of Error =
±z × Standard deviation/√n
We are not given the confidence interval but let us assume the confidence interval = 95%
Hence:
z score for 95% confidence interval = 1.96
Standard deviation = 97
n = random number of samples = 238
Margin of Error = ± 1.96 × 97/√238
Margin of Error = ±12.323
The margin of error using the given formula will be ±12.323.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.
Given data;
Confidence interval = 95%
z score for 95% confidence interval = 1.96
Standard deviation = 97
n is a random number of samples = 238
The margin of Error is found as;
E =±z × Standard deviation/√n
[tex]\rm E= +z \times \frac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm E=\±1.96 \times \frac{97}{\sqrt{238} }\\\\ E=\±12.323 \[/tex]
Hence,the margin of error using the given formula will be ±12.323.
To learn more about the error refer to the link;
https://brainly.com/question/13286220
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find the slope given the points (1,4) and (5,9)
Answers
Answer:
the slope is 5/4
Step-by-step explanation:
use the formula y2 - y1 over x2 - x1, and plug in the coordinates into that
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(1, 4) and (5, 9)
The slope of the line is given as,
m = (9 - 4) / (5 - 1)
m = 5/4
m = 1.25
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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in this in this equation y equals 14 x what is the constant of proportionality
Answers
Answer:
We conclude that the value of the constant of proportionality.
k = 14Step-by-step explanation:
We know that if 'y' varies directly with 'x', we use the equation
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
Given the equation
y = 14x
comparing with the equation
y = kx
Thus,
k = 14
Therefore, we conclude that the value of the constant of proportionality.
k = 14Find the value of c.
Answers
Solve the following proportion for n.
4/12 = n/72
Answers
Answer:
n = 24
Step-by-step explanation:
(4/12)*72 = n
24 = n
Si multiplicas 2 números enteros que no tienen el mismo signo, ¿el resultado será un número entero positivo o uno negativo?
Answers
resposta:
Número entero negativo
explicación paso a paso:
Para ilustrar esto, elegimos dos números enteros con diferentes signos: 5 y -6
Si los multiplicamos:
[tex]5x-6=-30[/tex]
El resultado siempre será un número negativo con diferentes signos: 5 y -6
por favor márcame como el brainliest
Find three consecutive integers such that 3 times the first added to the last is 22.
Answers
Answer:
5,6,7
Step-by-step explanation:
consetive integers are 1 apart
they are
x,x+1,x+2
3 times the first added to the last is 22
3x+x+2=22
combine like terms
4x+2=22
minus 2 both sides
4x=20
divide both sides by 4
x=5
x+1=6
x+2=7
the numbers are 5,6,7
Answer:
5,6,7
Step-by-step explanation:
hope this helps :)
Bob and chris share some money in the ratio 2:3.
Bob receives £8
Work ouy how much Chris receives.
Answers
Answer:
Chris will receive 4 euros
Answer:
12
Step-by-step explanation:
Please help due in 10 min
Answers
if 20% off was 8 dollars then you would multiply 8 by 5 to get 40
PLEASEEEEE HELPPPP!
Answers
Answer:
option 4
Step-by-step explanation:
put like terms on either side
9x + 2a = 3a - 4x
subtract both sides by 2a
9x = a - 4x
add both sides by 4x
13x = a
divide both sides by 13
x = a/13
please give thanks, hit that heart button :)
Answer:
4.) a/13
Step-by-step explanation:
9x + 2a = 3a - 4x
9x + 4x = 3a - 2a
13x = a
13x/13 = a/13
x = a/13
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters is 25% of the large bottle?
Answers
Multiply 500 by .25 or 25% to het your answer
Answer:
The other answer is wrong
Step-by-step explanation:
Because it said that on my test...
Shawn has two investments which both are compounded annually. Investment x earns 5% interest, and investment y earns 7% interest. Each year Shawn has to pay an 18% tax on the net gain of her investments to the IRS. Which equation can Shawn use to determine the amount of money, t, she will need to pay the IRS?
Answers
Answer:
0.18(0.05x + 0.07y) = t
explanation:
Trust me
a moving company charges $0.40 per pound. a family estimates that their belongings weight 3 tons. about how much would it cost the family to move their belongings?
Answers
Answer:
$2,400
Step-by-step explanation:
3 tons equals 6000 pounds
6000*0.40= $2,400
7/12+1/3 show your work and how you got your answer
Answers
Answer:
11/12
Step-by-step explanation:
find the lcm of 12 and 3 which is 12.
find a common factor in 12 and 3 and use those factors to multiply with their numerators.
7 * 1 and 1*4 =11
while the denominator or the lcm is 12
thus 11/12
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 67^\circ67
∘
67, degrees.
What is the measure of \angle b∠bangle, b?
Answers
Answer:
Assuming the question is asking for angle B, it measures 23°
Step-by-step explanation:
If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.
angle A + angle B = 90°
67° + Angle B = 90°
Angle B = 23°
Answer:
68
Step-by-step explanation:
right on khan
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answers
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG
Runners who achieved a time between 37 and 48 minutes to complete the race were each awarded a silver medal. (c) Calculate an estimate of the number or runners awarded silver medals
Answers
Answer:
The data is missing, However the answer is given below
Step-by-step explanation:
The data is missing about the runners and the duration minutes taken to complete the race, However the answer is given below
(3 * 4) + (8 * 3)
12 + 24
36 silver medals would have been awarded to runners.
The data is missing for the runners of the race and the time they took to complete the race, silver medal is awarded for runners who completed race in 37 to 38 minutes.
What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4
Answers
Answer:
I think 3 not sure don't angry if wrong
what is the solution (x,y) to the system of equations? x=10 3x+5y=20
Answers
Answer:
(10, -2)
Step-by-step explanation:
x = 10 (its given in the problem)
then plug in 10 for x in the second equation and solve for y
3(10) + 5y = 20
30 + 5y = 20
5y = -10
y = -2
so the solution is (10, -2)
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get
Answers
9514 1404 393
Answer:
8 years: Rs. 649 years: Rs. 7210 years: Rs. 80Step-by-step explanation:
The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...
216/27 = 8 . . . Rs
Then age 8 gets 8(Rs. 8) = Rs. 64
age 9 gets 9(Rs. 8) = Rs. 72
age 10 gets 10(Rs. 8) = Rs. 80
If JK = KL, find JL Please help me.
Answers
Answer:
JL=22x-6
Step-by-step explanation:
We have JK=KL
Can you find the slope and type the correct code?
Answers
Answer:
number 4 : m= -2
Step-by-step explanation
PLEASEEEE HELPPP!!!!
Answers
Answer:
A.
Step-by-step explanation:
What is the perimeter of the triangle formed by (-3,1),(-3,5), and (4,1)
Answers
Answer:
15
Step-by-step explanation:
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answers
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years