[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] Equation: [tex]\bullet[/tex] y=43x-3 ✅
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]
Do you need to know the equation of the line with a slope of -43 and a y-intercept of (0,-3)? No problem! Luckily, there's a formula to find it! (:
The Slope Intercept FormulaThe slope intercept formula, [tex]\boldsymbol{y=mx+c}[/tex], comes in handy when we need to find the equation of a line!
In this formula,
"m" denotes the slope"c" denotes the y intercept-- ↩
This particular question provides us both "m" and "c."
m=43c=-3 (It's the second co-ordinate, the y co-ordinate, in the point "(0,-3)"Stickin the values
[tex]\boldsymbol{y=43x+(-3)}[/tex]
Simplify!
[tex]\boldsymbol{y=43x-3}[/tex]
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. \: Dream big. }[/tex]
--
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if you put 25ml of concentration in a glass, how much water should be added
Answer:
50 ml
Step-by-step explanation:
50 ml
A car is purchased for 28,000 after each year, the resale value decreased by 25% what will be the resale value be after 3 years?
Answer:
11,812.5
Step-by-step explanation:
25% = 0.25
(YEAR ONE)
[tex]28,000*0.25 -- > 21,000[/tex]
↓ (why?)
28,000 * 0.25 = 7,000
[tex]28,000 - 7,000 = 21,000[/tex]
(YEAR TWO)
[tex]21,000 * 0.25 -- > 15,750[/tex]
↓ (why?)
[tex]21,000 * 0.25 = 5250[/tex]
[tex]21,000 - 5,250 = 15,750[/tex]
(YEAR THREE)
[tex]15,750 * 0.25 -- > 11,812.5\\[/tex]
↓ (why?)
[tex]15,750 * 0.25 = 3,937.5\\15,750 - 3,937.5 = 11,812.5[/tex]
Answer = 11, 812.5
Find the equation of a line passing through the points (-1,5) and (3,17).
Answer:
y=3x+8
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
you find the slope by using this formula:
then we figure out it is 3
then graph to find the y-intercept which is 8
Answer:
y = 3x + 8
Step-by-step explanation:
Below is the image for the formula of the slope.
1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.
Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).
When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8
Therefore, the equation is y = 3x + 8
Round 7,485 to the nearest hundred.
Answer:
7,500
Step-by-step explanation:
When you round you automatically round up unless told otherwise
so find the hundredth, which is 485 and you round that to 500
then put the 7 back → 7,500
Work out the bearing of D from C.
(Hint: bearings are written with three digits.)
Answer:
050°
Step-by-step explanation:
The bearing of D from C is the angle between the north pole and the line joining C and D when moving in a clockwise direction.
From the diagram, the angle is 050°
What is the range of the given function?
{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}
O {x|x=-5, -4, -2, 0, 2}
Oy | y=-9, -3, 0, 5, 7}
{x|x = -9, -5, -4, −3,−2, 0, 2, 5, 7}
{y | y=-9, -5, -4, -3, -2, 0, 2, 5, 7}
The range of the function will be (-9, 7). Then the correct option is D.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given in the form of the pair of points.
{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}
Then the range of the function will be (-9, 7).
Then the correct option is D.
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Calcular cuántos números enteros diferentes de tres dígitos se pueden formar con los dígitos 2, 3 ,4 ,5 ,6 ,7 , 8 si los dígitos no pueden repetirse
There are 210 different three-digit whole numbers that can be formed with the digits 2, 3, 4, 5, 6, 7, 8 if the digits cannot be repeated.
To calculate how many different three-digit whole numbers can be formed with the digits 2, 3, 4, 5, 6, 7, 8 if the digits cannot be repeated, we need to use the permutation formula.
The number of permutations of n objects taken r at a time, where order matters and objects cannot be repeated, is given by:
P(n,r) = n! / (n-r)!
In this case, we have 7 digits to choose from, and we want to form a three-digit number, so r = 3. Therefore, the number of different three-digit whole numbers that can be formed is:
P(7,3) = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210
Each of these numbers will be unique, as we are not allowed to repeat any of the digits.
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The graph shows the function f(x).
On a coordinate plane, a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
Which equation represents f(x)?
f(x) = Negative RootIndex 3 StartRoot x EndRoot
f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1
f(x) = Negative RootIndex 3 StartRoot negative x EndRoot
The equation that represents the given data is [tex]\RM \\f(x) = -\sqrt[3]{-x} ,[/tex] Option D is the correct answer.
What is a Function ?It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
[tex]\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}[/tex]
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = [tex]\sqrt[3]{7}[/tex]
f(x) = -3
f(x) = 2
The equation that represents the given data is
[tex]\RM \\f(x) = -\sqrt[3]{-x} ,[/tex] Option D is the correct answer.
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Answer:
D
Step-by-step explanation:
Find the area of the triangle.
Answer:
take 1/2 multiply by sin 91°×2×8
The graph displays the relationship between the length of time an employee works at a company and the number of the employee's monthly customers.
y intercept is 2, which shows while changing the jobs employees bring two customers.
What is linear equation?A linear equation is in the form, y = mx + b where m is the rate of change (slope) and b is the y intercept (initial value of y).
The complete question is:
The graph displays the relationship between the length of time an employee works at a company and the number of the employee's monthly customers.
Time Employed (Month)
If the equation for the line of best fit is y = 4.5x + 2, which of the following can be used to interpret the y-intercept in context?
Employee training takes 2 months.
Employee training takes 4.5 months.
Employees are likely to bring 2 customers with them when changing jobs.
Employees are likely to bring 4.5 customers with them when changing jobs.
As, linear equation is
y = mx + b
Let y be the number of customers and x be the length of time.
Then, y = 4.5x + 2
As, y intercept is 2, which shows while changing the jobs employees bring two customers.
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Need help with this geometry question
Answer: B
Step-by-step explanation:
In triangles ABC and CED, CE=AC and AB=ED, but CD>BC, meaning the angle E is smaller than angle A.
1/a + 1/b = 1/2 (solve for a)
Answer:
1/a+ 1/b = 1/2
Adding the fractions we get
b+a/ab=1/2
cross Multiplying the denominator we get,
b+a=ab/2
a= ab/2 -b
Answer:
a = 1/(1/2 + 1/b)
Step-by-step explanation:
1/a + 1/b = 1/2
1/a = 1/2 - 1/b
1 = a(1/2 - 1/b)
1/(1/2 + 1/b) = a
Work out the height of this triangle with base, b = 4.7mm and area, A = 137.475mm2.
Step-by-step explanation:
hope you can understand
The height of the triangle will be;
⇒ 58.5 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The base of the triangle = 4.7 mm
The area of triangle = 137.475 mm²
Now,
We know that;
⇒ The area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ 137.475 = 1/2 × 4.7 × h
⇒ 137.475 = 2.35 × h
⇒ h = 137.475 / 2.35
⇒ h = 58.5 mm
Thus, The height of the triangle = 58.5 mm
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In a board game, you gain 1.5x the number of coins in your purse every time you pass start. However, you max out at 300 coins. If you have 5 coins in your purse, how many times must you pass until you reach maximum?
Answer:
6
Step-by-step explanation:
The requried number of passes to reach the maximum is given as 10 passes.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
We have 5 coins in your purse,
We Gain 1.5x the number of coins in your purse every time you pass the start. The maximum number of coins is 300.
According to the quesiton,
5 . 1.5ˣ = 300
Where x is the number of passes,
1.5ˣ = 60
x ≈ 10
Thus, the requried number of passes to reach the maximum is given as 10 passes.
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Every row and every column of this 3 x 3 square must contain
each of the numbers 1, 2 and 3.
What is the value of N + M?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
=========================================================
Reason:
We have "1" in the upper left corner and "2" in the direct middle. This means "3" goes to the left of the "2" since each row and column cannot use repeats. Just below that "3" will go "2".
In summary so far, the first column has 1, 3, 2 in that order when moving from top to bottom. Refer to the values in green in the diagram below.
For identical reasoning, the first row has 1, 3, 2 in that order when moving from left to right. These are the values in light blue.
Once the first row is filled out, we can determine the middle entry of the bottom row, which is "1" marked in pink. This item helps us determine that M = 3 which in turn leads to N = 1.
Therefore, N+M = 1+3 = 4 is the final answer.
Side note: This square has symmetry along the northwest diagonal
a. What are the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps?
The distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.
Missing informationWhen you walk with a normal stride, the average distance covered in 2 steps is about 5 feet
How to determine the distances?From the question, we have:
Rate = 5 feet per 2 steps
This gives
Rate = 5/2 feet per step
So, we have:
Rate = 2.5 feet per step
The distance is then calculated as:
Distance = Rate * Steps
This gives
Distance = 2.5 * Steps
So, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are
Distance = 2.5 * 4 = 10 feet
Distance = 2.5 * 6 = 15 feet
Distance = 2.5 * 12 = 30 feet
Distance = 2.5 * 30 = 75 feet
Hence, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.
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What is the inverse of the function f(x) = 2x + 1?
Answer:
[tex]h(x)=\frac{1}{2}x -\frac{1}{2} .[/tex]
Step-by-step explanation:
if the initial function is f(x)=2x+1, then
x=2*h(x)+1;
2h(x)=x-1;
[tex]h(x)=\frac{x}{2} -\frac{1}{2}.[/tex]
PS. change design according the local requirements.
Answer:
[tex]y^{-1} =\frac{1}{2} x-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse, you want to swap the inputs with the outputs, which is why you have the swapped domain and range between a function and its range.
So, given f(x)=2x+1, its inverse would give,
x=2y+1.
Solve for y,
2y=x-1 -> y=(x-1)/2 -> y=[tex]\frac{1}{2} x-\frac{1}{2}[/tex]
Therefore, [tex]y^{-1} =\frac{1}{2} x-\frac{1}{2}[/tex]
Does this relation represent a function?
Answer:
No
Step-by-step explanation:
There are multiple coordinates with the same x coordinate
1-
-5-4-3-2-11₁
H
5
4
3
2
Mark this and return
-2+
-3+
AWN
-4
-5
]
[
C
1 2 3 4 5 x
]
What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3
The range of the function on the graph is C. all the real numbers greater than or equal to –3 .
How to get the range?We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .
So, the range contain all the real numbers greater than or equal to –3 .
Therefore, the range contain all the real numbers greater than or equal to –3 .
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If
5 , 3 = 28
9 , 1 = 810
8 , 7 = 115
6 , 2 = 48
then
7 , 5 = ?
Answer:
212
Step-by-step explanation:
Simple addition and subtraction is to be used here.
5, 3 = 28
5-3 = 2 , 5+3 = 8
9 , 1 = 810
9-1 = 8 , 9+1 = 10
8 , 7 = 115
8-7= 1 , 8+7 = 15
6 , 2 = 48
6-2 = 4 , 6+2 = 8
7 , 5 = 212
7-5 = 2 , 7+5 = 12
Answer:
212
Step-by-step explanation:
Rule
Subtract the 2nd number from the first to obtain the first digit(s) of the answer.Add the 2nd number to the 1st to obtain the last digit(s) of the answer.5 - 3 = 2
5 + 3 = 8
Therefore: 28
9 - 1 = 8
9 + 1 = 10
Therefore: 810
8 - 7 = 1
8 + 7 = 15
Therefore: 115
6 - 2 = 4
6 + 2 = 8
Therefore: 48
7 - 5 = 2
7 + 5 = 12
Therefore: 212
Please help me find the area of this trapeziod.
Answer:
37.5 m
Step-by-step explanation:
Since the trapezoid area formula is ((base 1+base 2)/2)*height, we can plug in the values.
((8+7)/2)*5
(15/2)*5
7.5*5=37.5
Now we add the unit, "m" to get 37.5 m!
Hakim, Edmund and Paul share a bag of guppies. There are 132 guppies in the bag. The ratio of Hakim's share to Edmund's share is 2:3. The ratio of Edmund's share to Paul's share is 1:2. How many guppies does each boy get? Hakim , Edmund and Paul share a bag of guppies . There are 132 guppies in the bag . The ratio of Hakim's share to Edmund's share is 2 : 3 . The ratio of Edmund's share to Paul's share is 1 : 2 . How many guppies does each boy get ?
Answer:
Hakim's share = 2 x 12 = 24 guppies
Edmund's share = 3 x 12 = 36 guppies
Paul's share = 6 x 12 = 72 guppies
Step-by-step explanation:
We will have Hakim's share as the base unit.
Hakim : Edmund = 2:3
Edmund : Paul = 1:2
Hakim : Edmund : Paul = 2:3:3x2 = 2:3:6
Total units = 2+3+6 = 11 units
11 units = 132 guppies
1 unit = 132/11 = 12 guppies
Hakim's share = 2 x 12 = 24 guppies
Edmund's share = 3 x 12 = 36 guppies
Paul's share = 6 x 12 = 72 guppies
Choose the letter of the equation for
the graph.
Using translation concepts, the equation for the graph is given as follows:
b. [tex]y = \cos{\left(x + \frac{\pi}{2}\right)} + 1[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have a cosine function(zero at pi/2, this is zero at the origin), shifted pi/2 units to the right and 1 unit up(as the standard amplitude is between -1 and 1, here is between 0 and 2).
Hence the rule is given by:
b. [tex]y = \cos{\left(x + \frac{\pi}{2}\right)} + 1[/tex].
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What is the measurement of this angle?
PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠A ≅
Answer:
∠A ≅ ∠D
Step-by-step explanation:
When writing a triangle congruency like ΔABC ≅ ΔDEF, the angles are congurent based on the orders listed. For example the first angle A is congruent with the first angle of the other triangle D.
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the equation y=2x ? Linear [ ] Quadratic [ ] Exponential [ ] What type of function is the equation −7x+3y=3 ? Linear [ ] Quadratic [ ] Exponential [ ] Use your graph below to identify the two solutions to this non-linear system of equations. Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions. List the solution, (x,y), with the smallest x value below. x= __________ y= __________ List the solution, (x,y), with the largest x value below. x= __________ y= __________
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
What is a Equation ?An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.
The equations given in the question is
y = 2ˣ
This is an exponential function
-7x +3y = 3
This is a linear function
The equations have been plotted and the solution to the non linear system of equation has been determined
The point at which the graphs intersect is the solution to the system of non -linear equations.
(0,1) and (3,8)
x = 0 , y = 1 ; x = 3 , y = 8
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
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PLEASE HELP
If k and r are constants, the graph of y = (x-r)²(x - k)4 does which of the following?
A)Passes through the x-axis at k and 'bounces off' the x-axis at r
B)Bounces off' the x-axis at r and k
C)Passes through the x-axis at r and 'bounces off the x-axis at k
D)Passes through the x-axis at r and k
Answer:
D
Step-by-step explanation:
Passes through the x-axis at r and k
ING DROPS
1. The total volume to be given is 30 ml.
The time over which this is to be given is 30 minutes.
The drop factor is 15.
How many drops per minute will be delivered ?
Answer:
15 drops per minute
Step-by-step explanation:
(drops per minute) flow/drip rate: volume ÷ time × drop factor
note:
volume (mL)
time (minutes)\
30 / 30 = 1
1 * 15 = 15
so, 15 drops per minute will be delivered
hope this helps!! have a lovely day :)
Answer:
15 drops/minute
Step-by-step explanation:
30 ÷ 30 = 1
1 · 15 = 15
hope this is helpful :)
Please explain and i need it urgently... One fifth of marked price of a watch is given as discount. What is the discount percent?
Answer:
1/5 times 100= 20%
Step-by-step explanation:
brainliest????????!!!!!!!
A polynomial function is represented by the data in the table.
Choose the function represented by the data.
f(x) = −14x − 11
f(x) = −12x + 1
f(x) = 2x2 + 1
f(x) = x2 − 6x + 1
Answer:
[tex]\boxed {f(x) = x^{2} - 6x + 1}[/tex]
Step-by-step explanation:
Substituting each x value and checking it corresponds to the table :
x = -6
⇒ f(-6) = (-6)² - 6(-6) + 1
⇒ f(-6) = 36 + 36 + 1
⇒ f(-6) = 73
x = -2
⇒ f(-2) = (-2)² - 6(-2) + 1
⇒ f(-2) = 4 + 12 + 1
⇒ f(-2) = 17
x = 2
⇒ f(2) = (2)² - 6(2) + 1
⇒ f(2) = 4 - 12 + 1
⇒ f(2) = -7
x = 6
⇒ f(6) = (6)² - 6(6) + 1
⇒ f(6) = 36 - 36 + 1
⇒ f(6) = 1
x = 10
⇒ f(10) = (10)² - 6(10) + 1
⇒ f(10) = 100 - 60 + 1
⇒ f(10) = 41
