The points for a linear function are (0, -2), (1, 1) and (2, 4)
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that the relationship between f(x) and x is given by:
f(x) = 3x - 2
When x = 0: f(0) = 3(0) - 2 = -2
When x = 1: f(1) = 3(1) - 2 = 1
When x = 2: f(2) = 3(2) - 2 = 4
The points for a linear function are (0, -2), (1, 1) and (2, 4)
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Answer:
(0, -2) (1, 1) (-3, -11)
Step-by-step explanation:
Drag each label to the correct location on the image.
Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probability that exactly one out of the next three throws does not hit the target.
Categorize the simulations as correct or incorrect simulations of Tom’s scenario.
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
How to categorize the simulations?From the question, we have the following parameters:
Number of throws = 30Number of hits = 20This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
P(Success) = 2/3P(Failure) = 1/3Number of experiments = 3Using the above highlights, the correct scenarios are:
Rolling a die three times with numbers 1 to 4 representing a hitSpinner a spinner of 3 equal sections three times with two sections representing hitSpinner a spinner of 6 equal sections three times with four sections representing hitRead more about probability at:
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I NEED HELP ASAP!!!!!
Answer:
24.5 mi
Step-by-step explanation:
Each cm represents 9.8 miles, so 2.5 cm will represent a distance 2.5 times as far:
(2.5)(9.8 mi) = 24.5 mi
From Old Faithful to West Thumb is 24.5 miles.
PLEASE HELPPP I can’t really understand this
Answer:
24°
Step-by-step explanation:
Let x = one complementary angle
Let y = the other complementary angle
As the sum of two complementary angles is 90°:
x + y = 90
If one angle is 18° more than two times the other angle:
y = 18 + 2x
Rewrite x + y = 90 to make x the subject:
x = 90 - y
Now substitute x = 90 - y into y = 18 + 2x and solve for y:
y = 18 + 2(90 - y)
⇒ y = 18 + 180 - 2y
⇒ 3y = 198
⇒ y = 198 ÷ 3 = 66
Now substitute found value of y = 66 into x + y = 90 and solve for x:
x + 66 = 90
⇒ x = 90 - 66 = 24
Therefore, the larger angle = 66° and the smaller angle = 24°
Line q passes through points (9,10) and (5,1), Line r is parallel to line q, What is the slope.
Answer:
slope = 9/4
Step-by-step explanation:
Slope is a ratio (looks like a fraction) It tells you the steepness or flatness of a line.
To find slope you subtract the y's (that's the second number in the ordered pairs; here it's 10 and 1) put that on top. Then subtract the x's and put that on the bottom (here 9 and 5)
Slope = 10-1 / 9-5
=9/4
Now, parallel lines have the same slope, so if one of the lines has slope 9/4, then the other line does too!
What is the percent of change from 60 to 87?
Answer:
45% increase
Step-by-step explanation:
The new number (87) is bigger than the original number (60), so this is a percent increase.
To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.
Subtract to find the change.
87 - 60 is 27.
27 is the amount of change.
change/original
= 27/60
= .45
Times by 100 to change to a percent.
.45 × 100
= 45%
(100 Points) Please answer (For) This question guys what is (Free) 1+1
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
1 + 1 = 2
Step-by-step explanation:
1 + 1 = 2
basic addition as
2 + 2 = 4
or like
3 + 2 = 5
or
2 + 1 = 3
Randy works 50 weeks a year, averaging $500 a week in wages. He is offered a salaried position at $27,500 a year. If he accepts it, he will make ______. A. Less money b. More money c. The same amount d. Can’t tell Please select the best answer from the choices provided A B C D.
Answer:
B
Step-by-step explanation:
$500 a week x 50 weeks in a year = $25,000 a year
$27,500 > $25,000
HOPE THIS HELPED
help me with solving for x please
Hey there!
8x - 3 + 4x + 3 = 180°
COMBINE the LIKE TERMS
(8x + 4x) - (3 + 3) = 180°
8x + 4x - 3 + 3 = 180°
12x + 0 = 180°
12x = 180°
DIVIDE 12 to BOTH SIDES
12x/12 = 180/12
CANCEL out: 12/12 because that gives you 1
KEEP: 180/12 because it helps solve for the x-value
NEW EQUATION: x = 180/12
SIMPLIFY IT!
x = 15
Therefore, your overall answer is: x = 15
The answer to your given question is:
12x + 0 = 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Your dog is digging a huge hole in the backyard. On average he removes 32 cubic feet of
dirt each hour, How much dirt will he have removed if he digs for three hours. Express
your answer as a simplified fraction. SHOW YOUR WORK.
Answer:
The answer will be 96
Step-by-step explanation:
32×3=96
32
3
×
____
96
Answer:
96
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
I believe the answer is B. 15/5 = n/12
Step-by-step explanation:
Once again same method as I've explained before. However, this one tricked me a little bit and still is because of the appearance of the smaller triangle. However, If I don't focus on that I believe this answer is correct. This is because in order to find the missing side we need to find the factor of which the triangle was expanded. So we must divide a given side of the bigger triangle by the same similar side of the little triangle, like 15/5. Then we must divide n by its similar side which the appearance made me think 13 which is not an option so I believe it is 12 and it was just trying to throw me off. So n/12. Therefore that is why I believe B is correct.
find the intercepts for -6x+3y=-7
Answer:
y= 2 x - 7/3
Step-by-step explanation:
Banda, como le hago a lo de abajo? Ayuda!!
Answer:
2091.9
Step-by-step explanation:
multiply 4580 by 243 and then divide your answer by 532.
a) a = 12, b = 16, c = ?
b) a = 15, b = ?, c = 18
c) a = ?, b = 6, c = 15
d) a = 4.1, b = 3.3, c = ?
e) a = ?, b = 6.5, c = 12.2
Answer:
a)c=20
b)b=16
c)a=-3
d)c=2•5
e)a=0•8
help me ill mark branleist ang give 5 stars
Answer:
-30.44
Step-by-step explanation:
50.54 - 20.10 = 30.44
Is anyone can tell me which is the first episode from attack on titans season 4 part 2
Help me!!!
ASAP!!!
Answer:
S4, E17 (Judgement)
Step-by-step explanation:
Hope that helps!
What is the equation of the circle if the center is located at ( 2,-5) and the circumference is 10?
Solve: log5x^3 - logx^2 =2
Answer: 20
Step-by-step explanation:
log 5x^3 - log x^2 = 2
log 5x = 2
5x = 100
x = 20
Answer:
x=20
Step-by-step explanation:
keep smiling
The graph of a function f is given.
Answer:
(-4, 4)
(6, 2)
(0, -2)
(-∞, -4), (0, 6)
(-4, 0), (6, ∞)
Step-by-step explanation:
(-4, 4)
(6, 2)
(0, -2)
(-∞, -4), (0, 6)
(-4, 0), (6, ∞)
Solve for x and show all work.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
x = 21°y = 29°Explanation[tex] \\ [/tex]
To find value of x.
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
[tex] \\ [/tex]
Reason:-{
They both are alternate interior angles.
What is alternate interior angles.?
When two lines are cut by a third line, a transversal.}
[tex] \\ [/tex]
⇢ 3x - 3° = 60
⇢ 3x = 60° + 3°
⇢ 3x = 63°
⇢ x = 63°/3°
⇢ x = 21°
[tex] \\ [/tex]
Verification:
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
⇢ (3 × 21 - 3)° = 60°
⇢ 63° - 3° = 60°
⇢ 60° = 60°
LHS = RHS
HENCE VERIFIED!
[tex] \\ [/tex]
To find value of y.
[tex] \\ [/tex]
⇢(4y + 4)° + 60° = 180°
[tex] \\ [/tex]
Reason:-{
The lines are in linear pair.
What is linear pair?
A pair of adjacent angles that form angles when two lines intersect}
[tex] \\ [/tex]
⇢ (4y + 4)° + 60° = 180°
⇢ (4y + 4)° = 180° - 60°
⇢ 4y + 4° = 120°
⇢ 4y = 120° - 4
⇢ 4y = 116°
⇢ y = 116/4°
⇢ y = 29°
[tex] \\ [/tex]
Verification:
⇢ (4y + 4)° + 60° = 180°
⇢ (4 × 29 + 4)° + 60° = 180°
⇢(116 + 4)° + 60° = 180°
⇢ 120° + 60° = 180°
⇢ 180° = 180°
LHS = RHS
HENCE VERIFIED!
__________________~WindyMint♡
By using the equivalence of the formed angles, the solution is x = 41.
How to get X?
Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.
Then we will have that:
(3x - 3)° + 60° = 180°
Now we can solve that for x:
(3x - 3)° = 180° - 60° = 120°
3x = 120 + 3
x = 123/3 = 41
The solution is x = 41
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It is meaningful to compute the probability that a continuous random variable:_____.
a. is less than or equal to a number.
b. is exactly equal to a number.
c. is between two numbers.
d. is greater than or equal to a number.
Answer:
Step-by-step explanation:
is between two numbers.
is less than or equal to a number.
is greater than or equal to a number.
It is meaningful to compute the probability that a continuous random variable when it is between two numbers.
What is probability ?Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.
What is continuous random variable ?Continuous random variable is is one which takes an infinite number of possible values. A random variable is said to be continuous if it assumes a value that falls between a particular interval.
So, from the above mentioned statement we can assume that ;
The statement given in option [tex](c)[/tex] is correct .
Hence, we can say that it is meaningful to compute the probability that a continuous random variable when it is between two numbers.
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How do you write 7.20 × 100 in standard form?
Answer:
720
Step-by-step explanation:
You move the decimal point twice to the right because 100 has two zeros. But if it was 7.20÷100 it would be 0.072 because you move the point to the left.
pls help worth 25 points the question is on the image btw the answer is 15 cm high Just explain how it is done
Answer:
steps below
Step-by-step explanation:
volume of rock : 16 * 12 * 12 = 2304
height will take when it was threw into tank: 2304 / (32*24) = 3
Original water height + rock height: 12 + 3 = 15 cm
PLEASE I NEED HELP ITS DUE SOON!!
Rhombus can have harmonious diagonals provided that this is true we talk about the square unique instance of rhombus which additionally has four equivalent length sides and its diagonals are opposite and divide each other with respect to a square shape rhombus doesn't constantly need to be a square shape since it doesn't must have 4 right points
How many positive integers x satisfy the inequality x^2 + x < 100?
Answer:
9 numbers
Step-by-step explanation:
10^2 + 10 = 110. This is also greater than 100.
Highest value of x is 9.
9^2 + 9 = 90.
Not sure if zero counts, but if it does, it'll be 10 numbers instead.
Hope this helps!
There are 9 positive integers x satisfy the inequality x² + x < 100.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the inequality
x² + x < 100.
First take x= 1 then
1² + 1 = 2 < 100
Take x= 2
2² + 2 = 6 <100
Take x= 3
3² + 3 = 12 < 100
Take x = 4
4² + 4 = 20 < 100
Take x= 5
5² + 5 = 30 < 100
Take x =6, 7, 8, 9, 10 and 11
6² + 6<100
7² + 7<100
8² + 8<100
9² + 9 <100
10² + 10 > 100
So, there are 9 possible digits.
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The focus of a parabola is (-6, -3). The directrix of the parabola is y =4.
What is the equation of the parabola?
o y = - a (x + 6)? +
o y = - (x + 6)+
o y = - + (x + 1)² +6
y = -5(x - ) - 6
14
2
1
2
well, we know the directrix is at y = 4 and the focus point is down below it at (-6 , -3), meaning is a downward opening vertical parabola, like the one you see in the picture below.
keeping in mind that the vertex is equidistant from the directrix and focus point by a distance "P", that puts this vertex at ( -6 , 1/2 ), and since the parabola is opening downwards, P is negative.
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex][tex]\begin{cases} h=-6\\ k=\frac{1}{2}\\[1em] P=-\frac{7}{2} \end{cases}\implies 4\left( -\cfrac{7}{2} \right)\left(y-\cfrac{1}{2} \right)=[x-(-6)]^2 \\\\\\ -14\left(y-\cfrac{1}{2} \right)=(x+6)^2\implies y-\cfrac{1}{2}=-\cfrac{1}{14}(x+6)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{14}(x+6)^2+\cfrac{1}{2}~\hfill[/tex]
Artaud noticed that if he takes the opposite of his age and adds 39 he gets the number 24. How old is Artaud?
Answer:
15
Step-by-step explanation:
Let 'a' represent Artaud's age. He notices the relationship ...
-a +39 = 24
If we add a-24 to both sides, we get ...
15 = a
Artaud is 15 years old.
Answer: 15 years old
Step-by-step explanation:
Let x be Artaud's age. Let the opposite of his age be -x
-x + 39 = 24
-x = 24-39
-x = -15 (multiply both sides by -1)
x = 15 years old
Which expression is equivalent to the expression below?
5(6v)+5v
Answer:
35v
Step-by-step explanation:
5(6v)+5v
[tex]5 \times 6v + 5v \\ 30v + 5 \\ combine \: the \: terms \\ = 35v[/tex]
Answer:
35v
Step-by-step explanation:
5 times 6v = 30v, then you add 5v which gives you 35v. Hope that helps :)
A line passes through the points (3,21) and (7,25) Write a linear function rule in terms of x and y for this line.
please help me!!!!!!!
Answer:
See belowStep-by-step explanation:
#14Given:
m∠QPT = 42° and PR is its angle bisectorAngles QPR and TPR both are:
42/2 = 21°Verify if the remaining angles are same.
m∠PQR = 180° - 21° - 58° = 101°This is not same as ∠PTS:
101° ≠ 102°This makes ∠PST ≠ ∠PRQ
Since corresponding angles are different, the triangles are not similar
#16Given two right triangles.
Verify the corresponding sides have same ratio.
Find the ratio of longer legs:
LN/MN = 15/27 = 5/9Find JN:
JN = √(JM² - MN²) = √(30.6² - 27²) = √207.36 = 14.4Find the ratio of shorter legs:
LN/JN = 8/14.4 = 80/144 = 5/9The triangles are similar by SAS since we have two sides similar and included angle is same (right angle)
Write down the next three terms
2,-8,-18,-28...
Answer:
36, 44, 52
Step-by-step explanation: