Answers
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
Related Questions
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answers
Answer:
71/120
Step-by-step explanation:
5(x-4)+?=+12x-21 what is the answer?
Answers
5(x-4) + ? = 12x - 21
5x - 20 + ? = 12x - 21
? = 7x -1
ok done. Thank to me :>
Work out 247 as a percentage of 380.
Answers
Answer:
65%
Step-by-step explanation:
You can use the equation " is over of " to solve this. 247/380 * ?/100. After simplifying, you get 24700/380 which equals 65%.
Brainliest would be appreaciated! :-)
I think the answer is 65%. Hope that helps.
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answers
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
Hi Help me with question 6b) pls
Answers
Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2
Answers
Answer:
3
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]
X = 5 – 2 = 3
Y = 16 – 7 = 9
[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]
[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]
Equation of the line:
y = 3x + 1
When x=0, y = 1
When y=0, x = -0.33333333333333
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answers
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answers
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answers
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answers
Answer:
number · 0.50 = 50% of a number
number · 0.10 = 10% of a number
number · 0.75 = 75% of a number
Step-by-step explanation:
50% = 0.50
10% = 0.10
75% = 0.75
An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle.
Answers
Answer:
5.76 cm
Step-by-step explanation:
When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,
R = side * sqrt (3) / 6
Here, side is 20 cm.
And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.
So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm
Solve the following for x: 7/x=100/75
Answers
Answer:
9.31
Step-by-step explanation:
7/x=100/75
7/x=1.33
x=9.31
Answer: x = 5 1/4
Step-by-step explanation: 7/x = 100/75 (7)(75) = (100)(x)
100x/100 = 525/100 x = 21/4 x = 5 1/4
7.
Quentin takes piano lessons
each month. Last month, he
took 4 piano lessons and paid
$104. This month, he plans to
take 2 piano lessons. How much
will Quentin pay this month?
Answers
Answer:
52$
Step-by-step explanation:
104 / 4 = 26$ per lesson
2 piano lessons = 26 x 2 = 52$
104 divided by 4 is 26. Then you multiply that to 26, which is 52, so the answer is 52.
104/4=26x2=52
URGENT!!! THANK YOU!!!!!
Answers
Answer:
101,100
280
Here's your answer
If you subtract 17 from my number and multiply the difference by -2, the result is -10." What is the number?
Answers
Answer:
22
Step-by-step explanation:
-10/-2 is 5
5+17 is 22
help!! due tommorrow
Answers
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:
Answers
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
3/4 x 7 = 5.25 (21/4 in fractions)
please help me :(
NO LINKS PLEASE
Answers
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
i need help with this like... now besties
if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?
Answers
Step-by-step explanation:
it represents a point on the line defined by the function equation.
it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).
Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answers
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to
find the measures of the angles described.
The measure of an angle increased by 24° is equal to the measure of its complement.
The measure of the angle is
Jº and the measure of its complement is
Answers
Answer:
33°90° -J°Step-by-step explanation:
1)If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
2)Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answers
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
Answers
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
Learn more on table of functions here: https://brainly.com/question/3632175
Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answers
Answer:
you should use minimum 8 black cur
can anyone please help
Answers
Answer:
Adult tickets = $73.5
Child tickets = $20.5
Step-by-step explanation:
[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]
• Subtract eqn 2 from eqn 1:
[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]
[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]
Drag the numbers below to put them in order from least to greatest:
8.476
8.33
8.44
8.382
8.341
8.3
Answers
Answer:
8.3, 8.33, 8.341, 8.382, 8.44, 8.476
Step-by-step explanation:
Answer:
8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️
Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answers
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.
Answers
Answer:
3.416 x 10^(" + * + 1)
Step-by-step explanation:
The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect. Whatever they are, do the following:
1) multiply 5.6 times 6.1. Result = 34.16
Add the two exponents: (" + *)
The result is 34.16 x 10^(" + *)
Then move the decimal point one to the left and add 1 to the 10 exponent:
3.416 x 10^(" + * + 1)
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answers
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid
Answers
Answer:
1913.34
Step-by-step explanation:
1784x0.0725=129.34
129.24+1784.00=1913.34
