Answer:
(E) [tex]y=x+3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,-1) and ( -1,2):
[tex]m=\displaystyle \frac{2-(-1)}{(-1)-(-4)}\\\\m=\displaystyle \frac{2+1}{-1+4}\\\\m=\displaystyle \frac{3}{3}\\\\m=1[/tex]
Therefore, the slope of the line is 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in one of the given points and solve for b:
[tex]2=-1+b\\2+1=b\\3=b[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into the original equation:
[tex]y=x+3[/tex]
I hope this helps!
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
When finding ordered pairs for a table of values for a function, the selection of x-coordinates can be
random
True
O False
Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]
Option A is correct -
[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]
We have a sequence : –3, 9, –27, 81, . . . .
We have to find the recursive formula for this sequence.
What is the formula to find the recursive of a Geometric sequence?The formula to find the recursive of geometric sequence is -
[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]
We have the following sequence -
–3, 9, –27, 81, . . . .
First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -
[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]
Hence, it is a geometric sequence with r = -3.
Substituting the value of r in the formula of recursive, we get -
[tex]a_{n} = -3a_{n-1}[/tex] and [tex]a(1)=-3[/tex]
Hence, Option A is correct.
To solve more questions on finding the recursive of a sequence, visit the link below -
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PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)
Answer:
d = 450 ft
Step-by-step explanation:
Hi there!
First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:
90-48=42
Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:
[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]
Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:
[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]
Multiply both sides by 500 to isolate [tex]d[/tex]:
[tex]500*tan(42)=d\\450=d[/tex]
Therefore, d = 450 ft when rounded to the nearest whole number.
I hope this helps!
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
PLEASE HELP!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
100,000 days
Step-by-step explanation:
1,000,000 / 10 = 100,000 days.
There is a bag filled with 5 blue, 4 red and 3 green 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 different colours?
Answer:
66%
bcz out of 3 stuff in 100% is 66%
What is an
equation of the line that passes through the points (-3,-1) and (-4,-4)
Answer:
y= 3x+8
Step-by-step explanation:
not a 100% sure...
sry if its wrong
(try using Math-way, its rly helpful)
Answer:
Step-by-step explanation:
y=mx+b
To find slope: -4+1/-4+3
Slope=3
y=3x+b
Plug in either points ,as an example, i'll plug in (-3,-1)
-1=3(-3)+b
-1=-9+b
8=b
Finished formula: y=3x+8
Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3
Line m has no y-intercept, and its x-intercept is (3,0). line n has no x-intercept, and its y-intercept is (0-,4).
the equation of line m is ___ , and the equation of line n is ____.
type the correct answer in each box.
Answer:
x=3 and y=4
Step-by-step explanation:
please verify the answer
Problem Which ordered pair is a solution of the equation? y=3x+5y=3x+5y, equals, 3, x, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A Only (2,11)(2,11)left parenthesis, 2, comma, 11, right parenthesis (Choice B) B Only (3,13)(3,13)left parenthesis, 3, comma, 13, right parenthesis (Choice C) C Both (2,11)(2,11)left parenthesis, 2, comma, 11, right parenthesis and (3,13)(3,13)left parenthesis, 3, comma, 13, right parenthesis (Choice D) D Neither Stuck?Review related articles/videos or use a hint.
The ordered pair are (-5/3, 0) and (0, 5)
Given the equation y = 3x + 5
To get the ordered pair of the equation, we will find the x and y-intercept
The x-intercept of the equation occur at y = 0
0 = 3x + 5
-3x = 5
x = -5/3
Hence the ordered pair of the solution is (-5/3, 0)
The y-intercept of the equation occur at x = 0
y = 3(0) + 5
y = 0 + 5
y = 5
Hence the ordered pair of the solution is (0, 5)
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i have a few questions! what is the gcf for
(21 and 54)
(55 and 90)
(16 and 30)
(42 and 91)
(66 and 121)
Answer:
(21 and 54): 3
(55 and 90): 5
(16 and 30): 2
(42 and 91): 7
(66 and 121): 11
Step-by-step explanation:
Instructions: Find the missing side of the triangle.
12
16
X
х
=
Answer:
x = 20
Step-by-step explanation:
c^2 = a^2 + b^2
a = 12
b = 16
c = ?
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
sqrt(c^2) = sqrt(400)
c = 20
A car travels 52/5 kilometers in 23/4 minutes. What is the unit rate in kilometers per minute?
The unit rate of the car that travels 5 2/5 km in 2 3/4 mins is: 1.96 km/min.
What is Unit Rate?Unit rate can be defined as the ratio of one quantity in comparison to another.
Distance travelled by a car = 5 2/5 km = 5.4 km
Time travelled = 2 3/4 mins = 2.75 mins
Unit rate in km/min = 5.4/2.75
Unit rate in km/min = 1.96 km/min.
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Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due
Answer: it wll be thursday at 7:30PM
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost is a function of the number of miles that the car is driven. In addition to a flat fee of $75, Plan A offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental.
Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles driven.
For how many miles will the rental fee be the same under both plans A and B?
The solution is, at 500 miles, will the rental fee be the same under both plans A and B.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
from the given information, we get,
Plan A: y = .2x + 75
Plan B: y = .35x
Find an xy pair that satisfies both (intersection)
Substitute Plan B's y for Plan A
.35x = .2x + 75
.35x - .2x = 75
.15x = 75
x = 500
Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.
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There is a line whose slope is 0 and whose y-intercept is 7. What is its equation in slope-intercept form?
Step-by-step explanation:
To evaluate such, the following must be comprehended, on the behalf of linear data:
Slope: Rise/Run.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Recall:
Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.
Slope-Intercept Form:
Y = mx + b
Y = The line.
M = Slope.
B = y-intercept.
The following may be equated, as stated:
- Slope = 0
Y = b
- Y-intercept = 7
Y = 7
Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).
help! please!!!!!! look at photo :))
Hey there!
We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.
Because Danielle works an extra half an hour, divide 10 by 2 and get 5.
Danielle earns $35 in 3 hours and a half.
Hope this helps! Please mark me as brainliest!
Have a wonderful day :)
For num in range (1,10) : if num is %2 = = 0: print (num)
yfd sat fltfurjbhviccyvihkjobkb 47 I have
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo 27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
Equivaldría a 45.9 litros de leche de vaca.
Step-by-step explanation:
Esta pregunta se resuelve por proporciones, usando una regla de tres.
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.
27 litros de leche de buffalo - x litros de leche de cava
1 - 1.7
Aplicando multiplicación cruzada :
[tex]x = 27*1.7 = 45.9[/tex]
Equivaldría a 45.9 litros de leche de vaca.
Review the table of values for function f(x).
Which number is the value of f^-1(-2)?
O -8
O -7
O 1/8
O 1
Answer:
1/8
Step-by-step explanation:
f^-1 part makes it into a fraction
D
20 B
A
250
E
G
NOTE: Angles not necessarily drawn to scale.
o
-
Answer:
x=45°
Does the answer help you?
(A) What is the domain of K
(B) What is the range of K
Find the product (x - 10) ( x - 5)
꙰ Hello there mohammedsaquibali45 ! My Name is ⚝Tobie⚝ and I'm glad you asked! Let me walk you step by step in order to comprehend the question better! ꙰
i
{x}^{2}-5x-10x+50
x
2
−5x−10x+50
ii Collect like terms.
{x}^{2}+(-5x-10x)+50
x
2
+(−5x−10x)+50
iii Simplify.
{x}^{2}-15x+50
x
2
−15x+50
(x - 10)(x - 5) = ...
= x^2 + (-10 + (-5))x + (-10•(-5))
= x^2 - 15x + 50
Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x.
Answer:
Hence the correct answer is Add 8x to both sides of the inequality.
Step-by-step explanation:
Step 1: Subtract 3 from both sides of the inequality.
Step 2: Add 8x to both sides of the inequality.
Step 3: Divide both sides of the inequality by the coefficient of x.
The inequality
5 - 8x < 2x + 3.
The current temperature of 8"F below zero is 21°F below the high temperature of the day. What is the high temperature for the day
Answer:
24°c
Step-by-step explanation:
PLEASE accept me in brainly
Can someone help me I don't know
Answer:
The answer would be (x-5, y-5)
Step-by-step explanation:
You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).
a taxi rider must pay 15000 VND for 1km in the first 10km, when exceeding 10km, they will pay them 14000 VND for each subsequent kilometer.Please write the expression to that the user number must be pay on x km (x>10)
Answer:
Số tien:S =150000+(x-10)14000
Step-by-step explanation:
Ive never really understood 8th-9th grade volume, could use some help
The answer is B
Eplanation:
V = pi * r² * (h/3)
Then from here you just make h the subject of the formula:
h = (V * 3)/(pi * r²)
h = (393*3)/[3.14* (10/2)²]
h = 15.01910828 ft
which is rounded to 15 ft...B
:)
