Answer:
y = - [tex]\frac{1}{2}[/tex] x + 4
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 ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line
m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L
Evaluate each expression if x = 7, y = 1, and z = 8.
=
19. x + y + 2
20. x + 2z
21. 4y
22. 4x – 3z
23. 4x – 17
24. 62 – 52
shto The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
25. 9y + (2x + 1)
26. 14 + 2z
27. 2 : 2
28. xz
29. y - x
30. 24y - 2
31. x2 – 2y + 8
32. 2xz
33. 30y - 40x – 1,000
19, 15.5
20, 25
21, 1/16
22, 4
23, 11
24, 8
25, 19.5
26, 30
27, 4
28, 56
29, 6.5
30, 4
31, 21
32, 112
33, 3,200
here are they
What is a circle define and illustrate The following in figures
Answer:
Circle is a closed geometric figure having an infinite number of sides.
Step-by-step explanation:
A circle ⭕ has infinite number of sides want to know how then try and experiment.
First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.
The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.
Answer:
16 and 3?
Step-by-step explanation:
48÷3=16
hope this helps
Answer:
12 & 36
Step-by-step explanation:
According to the statement:
[tex]x+y=48[/tex]
[tex]x=3y[/tex]
Replace x= 3y:
[tex]3y+y=48[/tex]
[tex]4y=48[/tex]
[tex]y=48/4=12[/tex]
Then:
[tex]x=3y=3(12)=36[/tex]
Hope this helps
they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
Answer:
51200
Step-by-step explanation:
64000×80%=51200
[tex]\huge\mathfrak{question}[/tex]
they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
[tex] \huge \mathfrak step \: by \: step[/tex]
First we will look for how much 80% of 64,000 is.
Lets put our equation
[tex]64000 \times 80 \div 100[/tex]
solve it and we get
[tex]{{\boxed{{51200}}}}}[/tex]
as our answer
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?
Answer:
yes 198
Step-by-step explanation:
Anyone able to help with this?
[tex]W = 23.7°[/tex]
Step-by-step explanation:
The formula given is the statement of Snell's law of refraction. We are given the following:
[tex]I_a = 1.0003[/tex]
[tex]I_w = 1.3[/tex]
[tex]A = 31.5°[/tex]
So we need to find the angle of refraction W. Starting with Snell's law,
[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]
Plugging in the given values, we get
[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]
Solving for the angle W, we then get
[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]
6-4x=12+2x
Solve for x
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9
. She marks up the candles 85%
. How much does Jalisa charge per candle?
Answer:
$16.65
Step-by-step explanation:
To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65
The radius of a circle measures 10 yards what is the circumference of the circle
Answer:
62.8 yards
Step-by-step explanation:
The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice.
Answer:
45
Step-by-step explanation:
15+15+15=45
that would increase her practice time by 45 minutes
Calculate the length of the circumference inscribed in the ABCD trapezium using the data shown in the figure
i need help :(
From the given figure,
Subtracting AB and DC, so,
[tex]6 - 3 = 3 \: cm[/tex]
As we know that :-
[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]
[tex]→d = 4 π cm[/tex]
Since:-
[tex]c = πd[/tex]
[tex]c = 4πd[/tex]
So, Answer is 4 π d
X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g
hi can you please answer this question 20 points if u do
Answer:
Step-by-step explanation
just multiply
like 1x2=2
so 60x2=120
2x5=10
120x5=600
and on and on
State the rules for multiplying integers.
Answer:
If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.
The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.
Answer:
I think it's -28/-12
Step-by-step explanation:
y-y/x-x
when is a number divisible by 6?
Find the distance between two points in the simplest radical form
Answer:
The answer will be 5.
Step-by-step explanation:
using the formula d=/(x2-x1)2 +(y2-y1)
A number n is a prime factor of 28 and 63
Answer:
7
Step-by-step explanation:
The factors of 28 and 63 are
28 : 1, 2, 4, 7, 14, 28
63 : 1, 3, 7, 9, 21, 63
The common factors are 1 and 7
7 is a prime factor of both 28 and 63
Did I do 11,7 right ?
Answer:
Yes
Step-by-step explanation:
Eighteen greater than a number is 159. Find the number. Check your solution
The number is___
Answer:
let the number be x.
[tex]x + 18 = 159 \\ x = 159 - 18 = 141[/tex]
the number is 141
hope helpful <3
In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
95% of 3%(positive)4% of 100 - 3 = 97%(not positive).Hence:
[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at https://brainly.com/question/14398287
Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.
17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
x = 17/5
Step-by-step explanation:
17+2+6x = x-15 +5x
19+6x =16x -15
19+15 = 16x-6x
34 = 10x
34/10= 10x/10
17/5 = x
x = 17/5 or 3 2/3
Evaluate the expression 8+-9
Answer:
8+-9=-1
Step-by-step explanation:
evaluated
Answer:
8+(-9)=8-9=-1
Step-by-step explanation:
to get -9 you multiply -×+ which is -
Is there anyone that can please help me out with this question as soon as possible?
Answer:
1. -3 × Equation [A1] --> Equation [B1]
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
Step-by-step explanation:
There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:
1. -3 × Equation [A1] --> Equation [B1]
6x × -3 = -18x
-7y × -3 = 21y
14 × -3 = -42
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
(4x × 7) + -18x = 28x - 18x = 10x
(-3y × 7) + 21y = -21y + 21y = 0y
(-4 × 7) + -42 = -28 - 42 = -70
I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.
what led to the creation of the free-soil party?
A. To stop immigrants from entering the United States
B. To promote slavery across the West
C. To stop the spread of slavery
D. To achieve Manifest Destiny
Answer:
The answer is C
Step-by-step explanation:
brainliest plss
Find the average rate of change of k(x) = x' over the interval [3, 9].
Answer:
y=6x×2/4
x=7
thanks for the points
Solve the following system of equations:y=x2−4x+3 y=2x−2
[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]
the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)
Each subinterval would have length ∆x = (4 - 2)/n = 2/n
what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST
Answer:
1/2
Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.
Answer:
12 / 12
Step-by-step explanation:
LCM of 12 and 2 = 12
1 / 2
= ( 1 / 2 ) x ( 6 / 6 )
= ( 1 x 6 ) / ( 2 x 6 )
= 6 / 12
6 / 12 + 1 / 2
= 6 / 12 + 6 / 12
= ( 6 + 6 ) / 12
= 12 / 12