Answer:
y = -2x + 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / 2 - (-1)
-6 / 3
= -2
y = -2x + b
3 = -2(-1) + b
3 = 2 + b
1 = b
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
Which of the following options results in a graph that shows exponential growth? (2 points)
f(x) = 0.4(3)x
f(x) = 3(0.5)x
f(x) = 0.8(0.9)x
f(x) = 0.9(5)−x
Answer:
Step-by-step explanation:
The formula for exponential equations is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. If b is greater than 1, we have growth; if 0 < b < 1, then we have decay. The only choice that shows a b value greater than 1 is the first one where b = 3. (The last one is also a decay as it can be written as
[tex]f(x)=0.9(\frac{1}{5x})[/tex] which isn't even exponential!)
Which graph represents the solution of x2 + 9y2 ≤ 81 and y2 + 2 < x? On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded.
9514 1404 393
Answer:
C
Step-by-step explanation:
The ellipse y-intercepts are ±3, the x-intercepts are ±9, eliminating choices A and B. The parabola is shaded inside, eliminating choice D.
The correct choice is the third one.
Find the value of x. Write it as a decimal.
Answer:
68.5
Step-by-step explanation:
Arc ABE = 360 - 2x
Arc AE = 2x
half the difference between the two arcs is 43
43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]
Q14SIMPLIFY THE EXPRESSION 6ab of2adivided by12x12ab+14a-a
Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
what is the area of this triangle
Answer:
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Encontrar la magnitud de la velocidad angular de un disco de 0.75 rev/así como la magnitud de su desplazamiento angular Si su movimiento duró 180 segundos
Answer:
La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Step-by-step explanation:
Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:
[tex] \omega = \frac{\theta}{t} [/tex]
En donde:
θ: es el desplazamiento angular = 0.75 rev
t: es el tiempo = 180 s
Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:
[tex] \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad [/tex]
Entonces, la velocidad angular es:
[tex] \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s [/tex]
Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Espero que te sea de utilidad!
Exercise (SARI) 1. Ram is four years older than Shyam. The sum of their ages is 52 years, Find the present age of Shyam
Step-by-step explanation:
ratio =4:1
total= 4+1 =5
1/5 × 52= 10.4 years
Answer:
Step-by-step explanation:
let age of Shyam=x
age of Ram=x+4
x+x+4=52
2x=52-4=48
2x=48
x=48/2=24
age of Shyam=24 years
age of Ram=24+4=28 years.
Identify a horizontal or vertical stretch or compression of the function by observing the equation of the function .
How many orders of magnitude bigger is 23,000 than 56?
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
I NEED ANSWER ASAP WILL GIVE BRAINLIEST(WORTH 30 POINTS)
Which function is represented by the graph?
A. f(x) = -2|x|+ 1
B. f(x) = -1/2|x|+1 C. f(x) = -2|x + 1|
D. f(x) =-1/2|x-1|
Answer: b
Step-by-step explanation:
1+1+1+5+1+1+4+5+10+1LL pop
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
convert 9.56 cm = ________________ M
Answer:
[see below]
Step-by-step explanation:
There are 100 cm in a meter.
9.56/100 = 0.0956
Hope this helps you.
(PS: You can mark the other user as Branliest)
look at the image for the question and answers
Answer:
C
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Using the given formula
P = 2(l + w)
= 2([tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] )
= 2(1)
= 2 units
Use the drop-down menus to identify the values of the parabola.
Vertex = ____
Domain = {x| ____ }
Range = {y| y ≤ ____ }
Answer:
Im guessing because their no chart.
Step-by-step explanation:
The answer is.
Vertex: 0,4.
Domain: X is a real number.
Range: 4.
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
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What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a .
Answer:
A mammogram is what she would receive
Step-by-step explanation:
Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sphere 2 + 2 + 2 = 30
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
Calculation with Lagrange multipliers of its optimum restricted places,
[tex]f_x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ g_x = 2x\\\\f_y = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ g_y = 2y\\\\[/tex]
Set the multiplier formulas for Lagrange:
[tex]f_x = \lambda g_x \to 2 = \lambda 2x ............ (i)\\\\f-y = \lambda g_y \to 1 = \lambda 2y................ (ii)\\\\constraint: \\\\\to x^2 + y^2 = 5 .................... (iii)\\\\Taking \ (i)\ divides\ (ii), \ (assuming\ \lambda \neq 0)\\\\\frac{2}{1}=\frac{\lambda 2x}{\lambda 2y}=\frac{x}{y}\\\\\therefore \\\\2y = x\\\\Sub\ into\ (iii)\ to\ find\\\\4y^2 + y^2 = 5 \to y = \pm 1\\\\[/tex]
We get solutions (x,y)=(2,1) and (−2,−1) if combined with 2y = x. These are all the identical points we obtained in (c) and we know the f(2,1) is the max, whereas f(−2, −1) is a minimum.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
Given
[tex]3(8 - 4x) < 6(x - 5)[/tex]
Required
Describe the number line
We have:
[tex]3(8 - 4x) < 6(x - 5)[/tex]
Open brackets
[tex]24 - 12x < 6x - 30[/tex]
Collect like terms
[tex]-12x - 6x < -30 - 24[/tex]
[tex]-18x < -54[/tex]
Divide by -18 (the inequality changes)
[tex]x > 3[/tex]
[tex]>[/tex] means that the arrow on the number line points to the right, and it makes use of an open circle that starts from 3.
Answer:
based on what he said the answer is b
Step-by-step explanation:
Find the length of AC. Round to the nearest hundredth if necessary.
i belive the answer is c
PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7
does anyone know the answer to this question?
Answer:
(1,2)
Step-by-step explanation:
1. plug x into the equation:
[tex]2<\frac{2}{3}(1)+2[/tex]
2. simplify:
[tex]2<\frac{2}{3}+2[/tex]
[tex]2<\frac{2}{3}+\frac{6}{3}[/tex]
[tex]2<\frac{8}{3}[/tex]
since 8/3 is greather than 2, (1,2) is a solution
The diagram shows a prism …,
Answer:
See figure below.
Step-by-step explanation:
See the figure below.
Fifth grade students from Garden City Elementary School left for a field trip at the time shown on the clock.(6:54am) They returned from the field trip at 10:24 p.M. How long were the students on this field trip?
Answer:
15 hour(s) and 30 minute(s).
Step-by-step explanation:
Answer:
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Step-by-step explanation:
the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have
. How do we have a look at the moment. The comments for the first time in the UK. I
the temperature is -3 at 6am but it rises to 12 at the afternoon what is the temperature In the afternoon
Answer:
1cm divided by 17 = 32 then subtract the 32 into 17
Which property was used to simplify the expression?
30+9+4- 40+
distributive property
commutative property
associative property
inverse property
HELP SMB PLEASE!!!
Answer:
Distributive property.
Step-by-step explanation:
.
Answer:
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Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Let one angle = A
Let the other angle = B
A + B = 180
A = B - 16.4 Substitute for A in the top equation
B - 16.4 + B = 180 Combine the left
2B - 16.4 = 180 Add 16.4 to both sides
2B = 180 + 16.4
2B = 196.4 Divide by 2
B = 196.4/2
B = 98.2
A = B - 16.4
A = 98.2 - 16.4
A = 81.8
Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?
Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
To learn more about equilateral triangle click :
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