Answer:
The functions have the same y-intercept.
OPTION C is correct.
Step-by-step explanation:
DEFINITIONS AND FORMULAS
The equation of a linear graph is given to be:
[tex]y=mx+b[/tex]
Where m is the slope of the graph and b is the y-intercept.
To calculate the slope given a table, we can use the formula:
[tex]m=\frac{y^{2}-y^{1} }{{}x^2 -x^1}[/tex]
SOLUTION
Function 1: The equation of the graph is given to be
[tex]p=-\frac{3}{2}r-5[/tex]
Therefore, the y-intercept of the graph is given to be:
[tex]b=-5[/tex]
Function 2: Recall that the y-intercept of a graph is the y-value when x = 0.
On checking the graph, we can see that when r = 0, p = -5.
Therefore, the y-intercept is:
[tex]b=-5[/tex]
ANSWER
The functions have the same y-intercept.
OPTION C is correct.
this took me awhile but the answer is function 1
Step-by-step explanation:
118.7023 rounded to 2 decimal places
Answer:
119
Step-by-step explanation:
round 7 up
Reflect AB over the x-axis and rotate 90° counterclockwise about the origin.
Answer:
O A"(3, -5) B"(1, -3)
Step-by-step explanation:
Hope it helps.
Answer:
A"(-3, 5), B"(-1, 3) is the answer
I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
Answer:
No
Step-by-step explanation:
the perimeter is 22.7 she is approximately .7 off
Find the equation of a line perpendicular to 2x + 4y = -8 that passes through the
point (-4,4).
Answer:
2y-×+12=0
Step-by-step explanation:
ıf two lisesi are perpendicular to each other the product of their slope is -1 2×+y = -8 y=-2×-8 m =-2 m×-2=-1 m = -1/-2 =1/2 equtaion of a straight line with a known point a slope ( y - y1) = m (×-×1) later ( y+4) = 1/2 (×-4) later 2y+8 =×-4 2y -×+12=0 my english is bad i hope it was helpful
Brainliest if correct
Define your variables, write a system of equations, then solve the system of equations by using substitution.
The school that Stefan goes to is pre-selling tickets to a concert. On the first day of ticket sales, the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day boy selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.
I'm happy to help!
Answer:
Adult tickets are $14
Student tickets are $8
Step-by-step explanation:
let's say that [tex]\tt s=student~ticket\\\\[/tex]
And [tex]\tt a=adult~ticket[/tex]
on the first day we have:
[tex]\tt 3s+a=38[/tex]
On the second day we have
[tex]\tt3s+2a=52[/tex]
now we have a system of 2 equations with 2 unknown
[tex]\tt 3s+a=38[/tex]
[tex]\tt 3s+2a=52[/tex]
we will multiply the first equation with -1
[tex]\tt -3s-a=-38\\\tt ~3s+2a=52[/tex]
we solved the system and
a= $14, forthe adult ticket
s= $8 for the student ticket
Hope this helps!Have an Awesome day!
Find the value of the variable in the isoscells trapezoid.
55
(2x + 15)
i need a help knowwwwww
[tex]\huge\mathbb{✏Answer:}[/tex]
please understand what's in the pic above, and mark me as brainliest please thank you ^^
Anyone can help me please?
X = 2 cm
Y = 1. cm
Check me if I'm Wrong.
Problem 1: Use the Laplace Transforms to solve:
[tex]y'' - y' = {e}^{ - 3t} , \\ y(0) =y'(0) =0[/tex]
Transforming the ODE yields
[tex]L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}[/tex]
[tex](s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}[/tex]
[tex](s^2 - s) Y(s) = \dfrac1{s+3}[/tex]
[tex]Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}[/tex]
Partial fractions:
[tex]Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}[/tex]
[tex]\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)[/tex]
[tex]\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2[/tex]
[tex]\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}[/tex]
[tex]\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}[/tex]
Take the inverse transform:
[tex]\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}[/tex]
What is subtract two-fifths from 4 times g as an algebraic expression.
Answer:
4g-2/5
Step-by-step explanation:
Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
Dilate, Reflect
Not congruent, dilations are used
Step-by-step explanation:
Dilate Figure K by a factor 3 to get the white shape.
Reflecting the resulting figure over the x-axis will give you Figure L
Step 1: Dilate by a scale factor of 3
Step 2: Reflect over the x-axis
Since dilations are used, the shapes are not congruent as they change the side lengths and area.
-Chetan K
Which statement correctly compares the values of the digit 4 in the numbers 3,245 and 8,407?
Answer:
3, 245 is less than 8, 407
Step-by-step explanation:
3, 245 < 8, 407
pregunta
el angulo A y el ángulo B son ángulos verticales. Si el ángulo A=(2x-4) y el ángulo B=(4x-30), encuentra el valor de x.
Answer:
∠B = 17°
Step-by-step explanation:
Los ángulos verticales son congruentes, por lo tanto
5x + 7 = x + 15 ( restar x de ambos lados )
4x + 7 = 15 ( resta 7 de ambos lados )
4x = 8 ( dividir ambos lados por 4 )
x = 2
Por lo tanto
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
how do you say 14-3(a+7)
Answer:
-3a-7
Step-by-step explanation:
-3(a) -3(7)
14-3a-21
-3a-7
HELP IF YOU CAN PLS?
Answer:
B
Step-by-step explanation:
i Don’t know if I’m right
Let me know by the way
i just guessed
PLEASE HELP ASAP RIGHT NOWWWWWWWW HELP ME PLEASEE
anyone know asap pls
Answer:
Answer is AAAAAAAAAAAA
Step-by-step explanation:
AAAAAAAA the first one
PLEASE HELP ME ANSWER THIS (KHAN)
The equation for function 1 is in slope-intercept form by which we can identify the y-intercept easily..
[tex]y = mx + b[/tex]
Where,
m is slopeb is y-interceptCompare to the given equation:
m = -1/4b = -5Function 2 :Observe the point where function meets the y-axisThe point of meeting is (0,-7)Thus, The y-intercept is -7[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex] - 5 \cancel= - 7[/tex]
Therefore, Function 2 has greater y-intercept...~
#1
y intercept of function 2 is -7For function 1
y=-1/4r-5Compare with y=mx+b
y intercept is b=-5Function 2 has greater y intercept.
3. Cal spent 2/3 of an hour working on his car. How many minutes did Cal spend working
on his car?
A. 40 minutes
B. 30 minutes
C. 45 minutes
D. 20 minutes
Help
Answer:
40
Step-by-step explanation:
2x3 is 6=60 60-20=40 or 0.666666666 of an hour
Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes.
(a)
Give a mathematical expression for the probability density function of battery recharging time for this scenario.
f(x) =
, 70 ≤ x ≤ 110
, elsewhere
Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability density function is:
[tex]f(x) = \frac{1}{b - a}, a \leq x \leq b[/tex]
[tex]f(x) = 0[/tex], elsewhere.
In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
More can be learned about the uniform distribution at https://brainly.com/question/13889040
=
In ABC, b = 35 inches, c = 31 inches and A=162º. Find the length of a, to
the nearest inch.
Answer:
65 in
Step-by-step explanation:[tex]a=\sqrt{b^2+c^2-2bc\cos(A)}}=\sqrt{35^2+31^2-2\times35\times31\cos(162)}=65 in[/tex]
Consider the following equation;
Answer:
B
Step-by-step explanation:
x² - 6x = 0
x² - 6x + (6/2)² = (6/2)²
x² - 6x + 9 = 9
(x - 3)² = 9
So B
[tex] \sf \left[ \: \: \int \limits_{ \sum \limits_{n = 0}^{ \infty } \big( \sqrt{n} - \sqrt{n + 1} \big)}^{ \sum \limits_{n = 0}^{ \infty } \frac{( - 1 {)}^n }{n + 1} } \left ( \lim_{t \to \infty } \bigg(1 + \frac{1}{ {e}^{t}} \bigg )^{ {e}^{t} } \right )^{ \large\frac{d}{dx} \bigg( \frac{ {x}^{2} }{ {sin}^{2} x + {cos}^{2}x } \bigg)} \: dx\right]^{2} \\ [/tex]
The lower limit of the integral is -∞, since √n - √(n + 1) ≤ -1 for all n, and
[tex]\displaystyle\sum_{n=0}^\infty (\sqrt n - \sqrt{n+1}) = -\sum_{n=0}^\infty\dfrac1{\left|\sqrt n + \sqrt{n+1}\right|} \ge -\sum_{n=0}^\infty \frac1{n^{1/2}}[/tex]
and the sum on the right is a divergent p-series.
The upper limit of the integral is ln(2). Recall that for |x| < 1,
[tex]\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}[/tex]
Integrating both sides gives
[tex]\displaystyle \sum_{n=0}^\infty \frac{x^{n+1}}{n+1} = -\ln(1-x) + C[/tex]
When x = 0, it follows that C = 0. As x → -1 from above, we find
[tex]\displaystyle \sum_{n=0}^\infty \frac{(-1)^n}{n+1} = \ln(2)[/tex]
The limit in the integrand is e, since
[tex]\displaystyle \lim_{t\to\infty}\left(1+\frac1{e^t}\right)^{e^t} = \lim_{n\to\infty}\left(1+\frac1n\right)^n = e[/tex]
where we replace n = eᵗ, so both n and t → ∞.
The derivative in the exponent of the integrand is
[tex]\dfrac{d}{dx}\dfrac{x^2}{\sin^2(x)+\cos^2(x)} = \dfrac{d}{dx}x^2 = 2x[/tex]
So, the original expression simplifies significantly to
[tex]\left(\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx\right)^2[/tex]
The remaining integral is trivial:
[tex]\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx = \frac12 e^{2\ln(2)} = 2[/tex]
and so the expression has a value of 2² = 4.
The perimeter of a triangle is 24 feet. The second side is two feet longer than the first.The third side is two feet longer than the second
A triangle has three sides, the first, second, and the add up to 24, since that's the perimeter
The second side = the first (let's call it L) + 2
The third is two more then the second, so L + 2 + 2
first side = L
second = L + 2
third = L + 2 + 2
add all three together, L + L + 2 + L + 2 + 2 = 24
combine the L's and 2's
3L + 6 = 24
subtract 6 from both sides
3L = 18
divide by 3
L=6
so the first side is 6, the second is 8, the third is 10
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Question:}}[/tex]
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Answer:}}[/tex]
The second tree is 59.5 feet tall
HOPE THIS HELPS^^
f I sold 3 coffees for $2.50 each, how much change do I give the customer from the following amounts?
Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find [tex]P_{81}[/tex] , which separates the bottom 81% from the top 19%.
P81 = Mean + z * Standard deviation , Where Z is critical value at 81% confidence level.
= 63.2 + 0.8779 * 11.7 ( Z critical value calculated from Z table)
= 73.47
please help me solve this
Answer:
a.) 3/8n
b.) 3n+25
c.)4n-9
d.)1/2n-8
e.)2n-5
f.)50-3n
g.)2n+7
h.)2/5n +9
Step-by-step explanation:
A
D
N
4
с
B EK
к
-8
10
Solve for N.
AABC - ADEC
8
4
N= [?]
=
10
N
Ente
Answer: 5
Step-by-step explanation:
8/10 = 4/N
0.8 = 4/N
0.8N = 4
N = 4/0.8 = 5