Answer:
[tex]y=-3x-2[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven:
slope (m) = -3y-intercept (b) = 4Equation of line: [tex]y=-3x+4[/tex]
If the line is translated -4 units along the axis, we need to substitute
[tex]x \rightarrow (x+4)[/tex]
If the line is translated 6 units along the y-axis, we need to add 6 to the equation:
[tex]\implies y=-3(x+4)+4+6[/tex]
[tex]\implies y=-3(x+4)+10[/tex]
[tex]\implies y=-3x-12+10[/tex]
[tex]\implies y=-3x-2[/tex]
Answer:
y = -3x - 2
Step-by-step explanation:
Rules to remember :
f(x + a) = translated 'a' units leftf(x - a) = translated 'a' units rightStandard form of the original equation
y = mx + bhere m = slope and b = y-intercept⇒ y = -3x + 4Translating -4 units along the x-axis
y = -3(x + 4) + 4y = -3x - 12 + 4y = -3x - 8Translating 6 units along the y-axis
y = -3x - 8 + 6y = -3x - 2Place each function below in the appropriate cell to show the transformation from
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Top left box
f(x) = 2x² + 4
g(x) = 2f(x) - 3
g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5Top right box
f(x) = 2x² + 4
g(x) = 2f(x) + 3
g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11Bottom left box
f(x) = 2x² - 4
g(x) = 2f(x) - 3
g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11Bottom right box
f(x) = 2x² - 4
g(x) = 2f(x) +3
g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5Find the volume of a right circular cone that has a height of 3.5 ft and a base
with a diameter of 11.9 ft.
Step-by-step explanation:
the volume of a cone is
base area × height / 3
and the case area is a circle, so we get
pi×r²×h/3
with e being the radius (half of the diameter), and h being the height.
therefore
pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³
Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50
Answer: Total Hours
Regular Rate = $11.25 / hour
Overtime Rate = $16.88 / hour
Double Time Rate = $22.50 / hour
Step-by-step explanation:
The average daily rainfall in Seattle for the
month of June has a mean absolute deviation
of 1.3 inches. What conclusion can you make
about the average daily rainfall in Seattle for
the month of June?
The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.
What is the mean absolute deviation(MAD) of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.
More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
Which statements about the behavior of f(x) = x2 + 4x − 3 are true? Select all that apply.
A. f has an axis of symmetry at x = –2.
B. The range of f is the set of all real numbers.
C. The maximum value of f is –7 when x = –2.
D. As x approaches infinity, f(x) approaches infinity.
E. As x approaches negative infinity, f(x) approaches negative infinity.
Answer:
A, D
Step-by-step explanation:
Given function: [tex]f(x)=x^2+4x-3[/tex]
Axis of symmetry
[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]
for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]
[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]
Maximum/Minimum point (vertex)
The max/min point is the turning point of the parabola.
The x-value of the turning point is the axis of symmetry.
[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]
Turning point (vertex) = (-2, -7)
As the leading coefficient is positive, the parabola opens upwards. Therefore, the turning point (-2, -7) will be a minimum.
Domain & Range
Domain: input values → All real numbers
Range: output values → [tex]x\geq -7[/tex] [as (-2, -7) is the minimum point]
End behavior
As the leading degree is positive and the leading coefficient is positive:
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]
Select Statistical or Not Statistical to classify each question.
1. How many feet are in 4 yards?
2. How many siblings do you have?
3. How many weeks are in a year?
Answer:
1. Not statistical
2. Statistical
3. Not statistical
Answer:
lol cant belive he could lie like that- anyways here is half the test since you can only post 5 pictures
Step-by-step explanation:
PLEASE HURRYYYYYYYYYYYYYYYYY!!!!!!!
Answer:
y = 2/5 x + 4/5
Step-by-step explanation:
First, we find the slpe of the line that is shown.
We go from point (-2, 2) to (0, -3).
We go 5 down, or a rise of -5.
Then we go 2 right, or a run of 2.
slope = m = -5/2
The perpendicular line has slope 2/5.
y = (2/5)x + b
2 = (2/5)(3) + b
10/5 = 6/5 + b
b = 4/5
y = 2/5 x + 4/5
PLASE HELP ASAP, brainly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Use the system of equations to answer the following question:
2x - 5y = -6
2x - 7y = -14
Which ordered pair is the solution to the system?
I Hope That I Am Not To Late, But The Answer Is D (7,4) <3
Explanation
2 x 7 = 14
5 x 4 = 20
14-20= -6
>>>
2 x 7= 14
7 x 4 = 28
14-28= -14
X= 7 & Y=4
Once again sorry if i am late, if others come I hope this helps UwU
What were the overall returns during the bull market from 1970 to 1973?
The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.
Hope this was helpful to you
x is proportional to root y where y>0
Answer:
x is proportional to √y where y > 0
Step-by-step explanation:
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
16/81
Step-by-step explanation:
Given
In the bag, there are : 4 blue and 5 red marblesProbability of blue (1st time)
P(1) = Total blue / Total marblesP(1) = 4 / (4 + 5)P(1) = 4/9Probability of blue (2nd time)
P(2) = Total blue / Total MarblesIt states it is replaced hence it is of the same constitution as the beginningP(2) = 4/9Probability of blue (both times)
P = P(1) x P(2)P = 4/9 x 4/9P = 16/81Help!!!
Find the sum of the mean, median, and mode for this data 86,72,16,42,16,55,16,12,91,55
Answer:
mean=86+72+16+42+16+55+16+12+91+55/2
mean=230.5
mode=16-unimodal
median the middle value but in the first arrange in ascending order.
12,16,42,55,72,86 and 91
median=55
hope it helps!
Are my wrists skinny? Please answer and I will mark as brainliest answer.
Answer:
yes! they're pretty skinny
Step-by-step explanation:
Enzo is driving to his niece's t-ball game. his sister gave him directions. what will
happen if enzo follows these directions?
turn east off 1st avenue at lake drive. drive 3 miles. make a 90° right turn and drive
1 mile. turn 90° at the intersection. you will reach the field in 2 miles.
a
The direction given by Enzo's sister is an illustration of distance
Enzo's distance from the east of 1st avenue to the field is 6 miles
How to describe the directions?From the question, we have the following directions:
Start at east of 1st avenueDrive 3 milesMake a 90 degrees right turnDrive 1 mileTurn at 90 degrees intersectionDrive 2 milesThe above directions imply that the total distance from the east of 1st avenue to the field is:
Distance = 3 miles + 1 mile + 2 miles
Evaluate the sum
Distance = 6 miles
Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles
Read more about distance at:
https://brainly.com/question/4931057
Answer:
He may reach the field but he may also end up at the lake
Step-by-step explanation:
I need HELPPPPplsssssssssss
Answer:
I have attached a picture of the completed graph.
The equation is k = r + 7
Kyle will be 59 when Ryan is 52.
Explanation:
Kyle's age is always seven years higher than Ryan's age.
Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)
Find the surface area of this figure.
Answer:
592 in²
Step-by-step explanation:
The surface area is the sum of the areas of the rectangles shown in the figure.
__
The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...
A = LW = (12 in)(36 in) = 432 in²
The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...
A = 2(LW) = 2(8 in)(10 in) = 160 in²
The total surface area of the figure is (432 +160) in² = 592 in².
Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.
Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:
[tex]\tan{20^\circ} = \frac{h}{34}[/tex]
h = 34 x tan(20º)
h = 12.4.
The rarmp will rise 12.4 inches at it's highest end.
More can be learned about the slope concept at https://brainly.com/question/18090623
Answer:I just got it wrong the answer is 11.6
Step-by-step explanation:
Find the area of this figure
Answer:
Step-by-step explanation:
3*5=15
8*16=128
10*7=70
4*3/2=6
15+6+70+128=219
Answer:
219 yd²
area of rectangle
length * width3 * 515 yd²area of 2nd rectangle
length * width9 * 872 yd²area of rectangle
length * width7 * (10+5+3)126 yd²area of triangle
1/2 * base * height1/2 * 4 * 36 yd²total area:
6 yd² + 126 yd² + 72 yd² + 15 yd²219 yd²Which of the following measurements results in the largest circle?
A.
radius = 8 in.
B.
diameter = 8 in.
C.
area = 30 sq. in.
D.
circumference = 30 in.
Answer:
A
Step-by-step explanation:
A) r = 8
B) r = 4
C) r = [tex]\sqrt{\frac{30}{\pi } }[/tex] ~ 3.09
D) r = [tex]\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77[/tex]
Circle A has the largest radius, and thus is the largest circle
Solve this linear equation 2.6(.5.5-12.4=127.92
Answer:
First we must distribute the 2.6 to everything inside the ()
The new equation would then be 14.3p-32.24 = 127.92
Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.
The new equation would then be 14.3p = 160.16
Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3
Then you're left with p=11.2
Fernando compró un videojuego y sabe que el valor depreciado de este es de $600 luego de 12
meses de su compra y de $480 al término de 18 meses. Si el valor del sistema varía linealmente
con el tiempo, determina:
a) La ecuación que expresa la relación del valor del videojuego con su tiempo de uso.
b) El valor del videojuego cuando era nuevo.
ayudenme profavor
Usando una ecuación lineal, se encuentra que:
a) La ecuación es y = -20x + 840.
b) El valor del videojuego cuando era nuevo era de $840.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:
m = -120/6 = -20.
O sea:
y = -20x + b
Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:
b = 600 + 240 = $840.
Y la ecuación es dada por:
y = -20x + 840.
Puede-se aprender más a cerca de ecuaciónes lineales en https://brainly.com/question/24766917
please help i am not smart
Answer:
Step-by-step explanation:
Number of shells she had in the begining = 40
Number of shells collected in the morning and at noon = 6 + 3 = 9
Now the number of shell at the end = 40 + 9 = 49
Icreased shells = 49 - 40 = 90
[tex]\text{Percentage increase = $\dfrac{49- 40}{40}*100$}[/tex]
[tex]=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%[/tex]
a ruler and a pair of compasses Using only 1 Construct a Line IABI= 10cm b. Perpendicular bisector at A to C. c.Angle ABC =30. d. construct perpendicular bisector at B to Do such that AC BD. Join A to D
measure AD and angle ADB.
Answer:
Using a graduated ruler, draw a line segment AB of length 10 cm.
Draw 2 arcs of radius more than half of AB with A as the center, one above AB and one below AB.
With the same radius, similarly, draw 2 arcs with B as the center.
Noah and his sister are making gift bags for a birthday party. Noah puts 3 pencil erasers in each bag. His sister puts x stickers in each bag. After filling 4 bags, they have used a total of 44 items.:Draw a diagram for the story and find the unknown amount.
Answer:
x=8
Step-by-step explanation:
Answer:
44 items in 4 bags means there are 11 items in each bag (44/4).
each bag has 3 erasers + x stickers. So, 3 + x = 11
subtract three from each side of the equation to isolate the variable (x):
3+x-3=11-3
x=8
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3
Answer:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
Step-by-step explanation:
Equation 1: y = 4x - 2
Equation 2: y = x + 3
Subtract Equation 2 from Equation 1 and solve for x:
⇒ 0 = 3x -5
⇒ 3x = 5
⇒ x = 5/3
Substitute found value of x into one of the equations and solve for y:
⇒ y = 5/3 + 3
⇒ y = 14/3
Therefore, the solution of the system of equations is:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
If the store has 3,000 eggs for sale, how many can expect to be cracked?
What is the value of "X"?
Answer:
6
Step-by-step explanation:
All triangles equal 180 degrees to this is what I did:
8x + 2 + 70 + 60 = 180
8x + 2 + 130 = 180
8x + 132 = 180
subtract 132 from each side
8x = 48
now divide each side by 8 to isolate the x
x = 6.
help , i need to finish this today :)
Use the equation of the curve of best fit to predict what the daily rental price for a two-bedroom condo will be in June and in January.
Type the correct answer in each box.
The daily rental price will be $ _____in June and $ _____ in January.
Hii!
let me answer this for you before i head out!
So, how many days are in 1 week? 7.
To rent daily, we need to find out the price for 1 single month.
1 month is $154
7 times what is 154?
7x22 is 154
Therefore, to rent a room everyday, it would cost 22$ for the first month.
437 divided by 2 is 218
218 divided by 7 is 31
Hope it helps
Sorry if its wrong!
Find a 99% confidence interval for each of the following. Round to the nearest tenth if necessary. 1. x = 75, s = 10, and n =64 2. x = 56,5 = 2, and n= 50. 3. X = 40, s = 3, and n = 36
The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).
How to calculate the confidence interval?The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:
= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]
= 71.76, 78.23
The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:
= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]
= 55.27, 56.73
The 99% confidence interval when x = 40, s = 3, and n = 36 will be:
= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]
= 38.71, 41.29
Learn more about confidence interval on:
https://brainly.com/question/15712887
A parallelogram has an area of 28 square inches. If the parallelogram is 4 inches long, what is its
width?
Answer:
7 inches
Step-by-step explanation:
The area of a parallelogram is Base x Height.
Area = 28 in^2 = (4 in)*(Height)
Height = 7 inches