Answer:
y = -2/3x
Step-by-step explanation:
To write in y=mx+b form, you need the y-intercept (b) and the slope (m).
The y-intercept is the point the line crosses the y-axis. This line crosses the y-axis of (0, 0). This makes the y-intercept equal to 0.
The slope is the rise of the line over the run of the line. Pick two points from the line. It doesn't matter which ones, you will get the right answer regardless.
I picked (0, 0) and (-3, 2). Subtract the x-values from each other, and subtract the y-values from each other.
-3 - 0 = -3 (x)
2 - 0 = 2 (y)
Divide the y by the x to find the slope.
2/-3 = -2/3
Plug in the slope and y-intercept into the equation.
y = mx + b
y = -2/3x + 0
y = -2/3x
What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
Which of these is a factor of x3 – 3x2 ?
Question 19 options:
A)
x + 2
B)
x + 3
C)
x – 2
D)
x – 3
Answer:
The answer is D, x - 3.
Step-by-step explanation:
If we factor x^3-3x^2, the result is x^2(x-3).
Answer:
D
Step-by-step explanation:
Given
x³ - 3x² ← factor out x² from each term
= x²(x - 3) ← in factored form
with one of the factors being x - 3 → D
What is the simplest form of expression
Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
6. Which graph best represents the solution set of y>3 x-4?
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
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The high for a winter day in Sitka,
AK was 10 degrees below zero. The
low for the same day was 25
degrees below zero. What was the
range of temperatures for the day?
Answer:
The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:
T ≤ -10°C
And the minimum temperature will be -25°C, then we must have that:
T ≥ -25°C
if we use both conditions, we will have:
-25°C ≤ T ≤ -10°C
We can write this range:
[-25°C, -10°C]
Where the [] symbols mean that the extremes are possible temperatures.
The length of the range will be:
-10°C - 25°C = 15°C.
Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?
Answer:
The coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
Step-by-step explanation:
Given the vertices
P (-1, 7)Q (9, 5)R (4, 3)We know that the intersection of medians brings the centroid of the triangle.
The centroid of a triangle is given by
[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]
In this example,
[tex]P_x=-1,\:P_y=7[/tex]
[tex]Qx=9,\:Q_y=5[/tex]
[tex]Rx=4,\:R_y=3[/tex]
substituting in the formula
[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
Therefore, the coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.
★ Centroid of a triangle :-
[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]We have :
x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3Substituting the values :
★ For x co-ordinate:-
[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]
★ For y co-ordinate:-
[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]
★ Henceforth,
Co-ordinates are (4 , 5)Additional Information :
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Visit more :-
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Need help asap!! plss
4r + 8 + 5 = -15 - 3r solve for r
Logan multiplied 54,216 by a number less than 1. He thinks the product will be greater than 54,216. Explain why he is incorrect.
He is incorrect because anything mutipled by 0 is 0!
A minicar race is being held in Shipton. There are 4 students from Westview School who have entered it. There are 7 students from Eastmont School who have entered. How many students from both schools have entered the race? "_______ students from both schools have entered the race."
Answer:
11 students
Step-by-step explanation:
In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.
4 + 7 = 11 students
Therefore, we can see that a total of 11 students from both schools have entered the race.
One equation that only has no solution
Again|||||||||||||||||||||||||||
Answer:
thank you so much have a great day!!!<3
Step-by-step explanation:
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
. True or False? Write your response next to the statements below. A) Sam computed a 90% confidence interval for µ from a specific random sample of size n. He claims that at the 90% confidence level, his confidence interval contains µ. Is his claim true or false? B) Sam computed a 95% confidence interval for µ from a specific random sample. His confidence interval was 10.1 < µ < 12.2. He claims that the probability that µ is in this interval is 0.95. Is his claim true or false? C) If we fail to reject (i.E., "accept") the null hypothesis, this means that we have proved it to be true beyond all doubt. Is this true or false?
Answer:
A) True , B) True , C) False
Step-by-step explanation:
A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.
B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.
C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.
True or False. Exponential Functions will create a straight line on a graph
Answer:
False
Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.
1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?
Answer:
There are 208 male students in the eight grade.
Step-by-step explanation:
320 students all together - 35% female students= 208 male students
please help me with this question
Answer:
it is not linear
Step-by-step explanation:
the dimensions in a rectangle are in the ratio 3:7. if the width is 18 cm, what is the length?
Answer:
42cm
Step-by-step explanation:
3:7
width:length
18cm width(7cm length/3cm width)=42cm length
I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help
Answer:
They should pay $12 each
Answer:
about 12 dollars probably more with tax maybe around 12.03
Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________
Answer:
1. 423 2. 71.25
Step-by-step explanation:
450.00-6%=423
75.00-5%= 71.25
please help thanks in advance also best answer get's brainlest
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that of the next 4 cars that pass his house, 2 will have their windshield wipers on?
please help !!! due soon!!!!!
Answer:
B
Step-by-step explanation:
i need the helpp someone respond asap
Answer:
Uh- 1? I'm not sure, but I think?
Answer:
It’s 125
Step-by-step explanation:
In a recent survey of 247 nurses, 162 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.
Answer:
162 is 65.587044534413% of 247
rounded its 66%
Step-by-step explanation:
Answer:
162/247×100=67%
Step-by-step explanation:
Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
coefficient?
Please Simplify 5(x - 6)
Final Answer: [tex]5x - 30[/tex]
Steps/Reasons:
Question: Simplify [tex]5(x - 6)[/tex]
Step 1: Expand by distributing the terms.
[tex]5x + 5[/tex] × [tex]-6[/tex]
Step 2: Simplify [tex]5[/tex] × [tex]-6[/tex] to [tex]-30[/tex].
[tex]5x - 30[/tex]
~I hope I helped you :)~
Our equation looks like:
[tex]5(x-6)[/tex]
This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (Note: you only distribute when variables are involved.)
[tex](5 \cdot x)-(5 \cdot 6)[/tex]
Simplify:
[tex]5x-30[/tex]
We cannot simplify any further, so we know that our equation, until we know what x equals, is [tex]5x - 30[/tex].
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.
Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.
Step-by-step explanation:
The measure of angle 1 should be 80 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.
The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.
Therefore 30° + m ∠1 + 70° = 180°.
100 + m ∠1= 180°.
So, m ∠1= 80°.
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