Answer:
1. y-intercept = -7
equation: y = 5x - 7
2. y-intercept = -3
equation: y = -2x - 3
3. slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).
1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:
y = mx + b
3 = 5(2) + b
3 = 10 + b
-7 = b
The y-intercept is -7.
Now that we know the slope and the y-intercept, we can write the equation:
y = 5x - 7
2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:
y = mx + b
5 = -2(-4) + b
5 = 8 + b
-3 = b
The y-intercept is -3.
Now that we know the slope and the y-intercept, we can write the equation:
y = -2x - 3
3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:
(3, -5) = (x1, y1)
(6, 3) = (x2, y2)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{3-(-5)}{6-3}[/tex]
Simplify:
3 - (-5) = 3 + 5 = 8
6 - 3 = 3
[tex]\frac{8}{3}[/tex]
The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].
I hope this helps. :)
have you ever have a dream that you that
Answer:
that you would you would you could do
About 50% of babies born with a certain ailment recover fully. A hospital is caring for six babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.(a) Is the experiment a binomial experiment?⪠Yes⪠No(b) What is a success in this experiment?⪠This is not a binomial experiment.⪠Baby recovers⪠Baby doesn't recover(c) Specify the value of n.A. n = _____B. This is not a binomial experiment.(d) Specify the value of p.A. p = _____B. This is not a binomial experiment.
Answer:
a. yes it is a binomial experiment
b. success is that baby recovers
c. n = 6
d. p = 0.5
e. q = 0.5
f. X: 0,1,2,3,4,5,6
Step-by-step explanation:
a.
the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.
b.
success: baby recovers
c.
n = number of babies born with ailment. n = 6
d.
p = 50% = 0.5
e.
q = 1-p = 1-0.5
q = 0.5
f.
possible values of X: 0,1,2,3,4,5,6
Answer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
35) Find BC
B
31°
58°
А
33 km
C
Answer:
91°
Step-by-step explanation:
180° in a triangle; so
31+58=89
180-89=91
BC=91°
There are 36 doughnuts in 3 boxes.
How many doughnuts are in 7 boxes?
Answer:
x=84
Step-by-step explanation:
[tex]\frac{36}{3}=\frac{x}{7}[/tex]
(cross multiply)
252=3x
(divide both sides by 3)
x=84
Please help me asap this was due 5 days ago
Answer:
do 9.60 divided by 12
Step-by-step explanation:
Answer:
$0.80
Step-by-step explanation:
All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32
Answer:
32
Step-by-step explanation:
please make me brainlist
Which list shows the absolute values in order from least to greatest? Question 5 options: |−2.36|, |−5.98|, 6.1 0.2, |−0.3|, |0.1| |7.6|, 5.3, 1.3
Answer:
i dont know maybe you should search google. best of Luck
Step-by-step explanation:
Zach spent $2.00 to buy 10 packs of gumHe plans to sell each pack of gum for $ 0.50. Which equation represents the profit, that Zach will make if he sells x packs of gum?
Answer:
x=$0.50 one pack for 50 cents
Step-by-step explanation:
$2.00= 10
$1.00=5
On April 1 the ABC Inc. paid $20,400 to Acme Realty for 12 months Rent beginning May 1. The company did the correct recording on April 1. If financial statements are prepared on December 31st, what is the adjusting entry needed on the balance sheet?
Decrease PrePaid Rent 20,400 / Increase Rent Expense 20,400
Decrease PrePaid Rent 13,600 / Decrease Rent Expense 13,600
Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600
Decrease Cash 20,400 / Increase PrePaid Rent 20,400
Answer:
Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600
Step-by-step explanation:
Given that:
The total amount paid = $20400 to Acme Realty for 12 months;
Thus, for each month rent; we get = $20400/12 = $1700
Now, the moth expired from May 1 to Dec 31 = 8 months
The rent expense for the year will be: monthly rent × number of months
= 1700 × 8
= $13,600
Thus, the balance sheet's adjusting entry will be to record 13,600 as the expense and decrease the total 20400 rent paid with 13600 and book it as prepaid rent as of December end.
For the function h(x)=4x-6 find the following: a. f(0) b. f(3) c. f(1/4)
Answer:
a.) -6
b.) 6
c.) -5
Step-by-step explanation:
Plug in each value for x
f(0) = 4(0) - 6 = -6
f(3) = 4(3) - 6 = 6
f(1/4) = 4(1/4) - 6 = -5
Answer:
a f)0)=4(0) - 6= -6
b f(3)=4(3) - 6=6
c f(1/4)=4(1/4)_6= -5
Solve these inequalities:
7x-1<26-2x
please help me with this one guys ;-;
Answer: inequality form x < 3 interval form: ( -∞, 3)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Frank has a chance of receiving an A grade in statistics, a chance of receiving an A grade in geology, and a chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both). Write your answer as a decimal (not as a percentage).
Complete Question:
Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).
Answer:
The probability that he receives an A in statistics or geology (or both) is:
0.54
Step-by-step explanation:
Probability of receiving an A grade in statistics = 41% or 0.41
Probability of receiving an A grade in geology = 36% or 0.36
Probability of receiving A grades in both statistics and geology = 23% or 0.23
Let S = statistics and p(S) = probability of A grade in statistics
Let G = geology and p(G) = probability of A grade in geology
Let p(S and G) = probability of A grades in statistics and geology.
The probability that he receives an A in statistics or geology (or both) is:
= p(S + G) - p(S and G)
= (0.41 + 0.36) - 0.23
= 0.54
subtracting decimals
0.89-0.6
Answer:
o.29 answer of this question
Answer:
0.29
Step-by-step explanation:
0 . 8 9
-0 . 6 0
-------------
0 . 2 9
--------------
Hope this helps
plz mark as brainliest!!!!!!!!
If x is the principal square root of 7, what must be true?
Which of the following equations has a slope of -3 and a y-intercept of 8? *
Write an equation for the line in the given form.
Contains the points (2,8) and (3, 11); slope-intercept form
Answer:
y = 3x + 2
Step-by-step explanation:
y=mx+b is slope intercept form
to find slope (m):
y2-y1/x2-x1 = 11-8/3-2 = 3
your slope is 3 so 3x
to find the y-intercept (b):
plug in y and x from either of the two points
(2,8)... 8=3(2)+b and solve for b which equals 2
so final equation is y=3x+2
80+100??????????????????
Answer:
180
Step-by-step explanation:
8 0
+ 1 0 0
1 8 0
y=3x + 4
What is the slope?
Answer:
3
Step-by-step explanation:
In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.
So the slope is the 3 in front of the x value.
A cat’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat’s heart beat per second?
Answer:
3 beats per second
Step-by-step explanation:
45÷15
Cat’s heart will beat 3 times per second.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-
15 seconds = 45 beats
1 second = 45 / 15
1 second = 3 beats
Therefore, Cat’s heart will beat 3 times per second.
To know more about an expression follow
https://brainly.com/question/579003
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Question 6
Ryan spent half of his weekly allowance on candy. To earn more money, his parents let him clean the windows in his house for $9. He
ended with $15. Which equation would represent this situation?
Answer:
x=6
Step-by-step explanation:
Let X = Rob's weekly allowance
If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X
After he earned $6 for cleaning the oven, he had $9.
So,
(1/2)X + 6 = 9
(1/2)X = 3
X = 6
Megan makes and sell slime online.
Answer:
44 containers
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:
[tex]E(X)=\frac{r}{p}[/tex]
r is number of times it is repeated
p is probability it happens
Solving:
[tex]E(X)=\frac{5}{1/6}[/tex]
E(X) = 30
Variance is given by:
[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]
[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]
[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
Write a like term to: -5y
Answer:
-7y
Step-by-step explanation:
As long as the variable and exponent is the same, they are like terms
Answer: 68y
There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.
You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.
The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. List the scores from least to greatest.
Answer:
9.25, 9.325, 9.5, 9.675
Step-by-step explanation:
Answer:
9.25, 9.325, 9.5, 9.675
17.9%of what number is 14.857
Answer:
83.100559
Step-by-step explanation:
0.179x=14.857
x=14.857/0.179
x=83.100559
Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) + g(x).
Must show all work to receive credit! Show your work in the box below.
Answer:
9x-3
Step-by-step explanation:
2x2=4
4+4x-3
4x-1
5x-2
Add them together
4x-1+5x-2= 9x-3
How many gallons of a 70% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 60% antifreeze?
Answer:
350 gallons
Step-by-step explanation:
Let x = number of gallons of 70% solution
100 = number of gallons of 25% solution
Then, x + 100 = number of gallons of 60% solution
0.70x + 0.25(100) = 0.60(x + 100)
0.70x + 25 = 0.60x + 60
0.10x = 35
x = 350 gal
Mix 350 gal of 70% solution with 100 gal of 25% solution to obtain 450 gal of 60% solution.
Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
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last night's Dansball game, there were 4 walks and 15 hits. Express the ratio of walks to hits , written in three different ways
Answer:
4/15, 4:15, 4 to 15
Step-by-step explanation:
Let W be the walks and H the hits, then,
WAY1:
[tex]\frac{W}{H} =\frac{4}{15}[/tex]
WAY2:
W:H⇒4:15
WAY3
W to H ⇒4 to 15