Answer:
y = x - 1
Step-by-step explanation:
First find the slope. Subtract the y's and put that on top of a fraction. Then subtract x's and put that on the bottom. Simplify if possible.
7-1 is 6 goes on top.
8-2 is 6 goes below.
6/6 is 1 when simplified.
Slope is 1.
Slope-intercept form is y = mx + b.
m is slope, so fill that in.
y = (1)x + b
Now we need to find b.
Use either one of the given points; they will give you the same answer no matter which one you choose. Let's use (2,1) because smaller numbers.
y is 1 and x is 2.
y= (1)x + b
1 = (1)2 + b
1 = 2 + b
-1 = b
Now fill in both m and b. Leave x and y as letters (variables)
y = (1)x + -1
Final answer:
y = x - 1
For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
How to solve an exponential function
Let y represent the population after x years.
Given that the growth rate is 4.5% per year and the current population is 1500.
Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045
y = 1500(1.045)ˣ
After 6 years:
y = 1500(1.045)⁶ = 1953
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
Find out more on exponential function at: https://brainly.com/question/12940982
i need help pleasse
What is the area of the figure shown delow?
Answer:
160mm2 is the correct answer
Step-by-step explanation:
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
answer:
148ft²
explanation:
to solve this problem, we must set up a proportion.
[tex]\frac{side (L)}{area(L)} = \frac{side(S)}{area(S)} \\\frac{15}{185} = \frac{12}{x}[/tex]
15x=2220
x=148ft²
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if this helped, please consider giving brainliest !
Determine the values of k for which the function f(x) = 4x^2-3x + 2kx + 1 has two zeros. Check these values in the original equation.
k must be greater than or equal to 22.75 to have two different zeros.
How to determine the value of missing coefficient in second order polynomials
Second order polynomials are algebraic expressions that observe the following form:
[tex]p(x) = a\cdot x^2 + b\cdot x + c[/tex] (1)
Where:
a, b, c - Coefficientsx - Independent variableFor polynomials of the form p(x) = 0, we can infer the nature of their roots by applying the following discriminant:
d = b² - 4 · a · c (2)
According to (2), there are three cases:
If d < 0, then there are two conjugated complex roots.If d = 0, then the two roots are the same real number.If d > 0, then the two roots are two distinct real numbers.Now we have the following discriminant case:
-(3 + 2 · k)² - 4 · (1) · (4) ≠ 0
-(9 + 6 · k + 4 · k²) - 16 ≠ 0
-9 - 6 · k - 4 · k² - 16 ≠ 0
4 · k²+ 6 · k +25 ≠ 0
This characteristic polynomial has two conjugated complex roots, then we conclude that all values of k must positive or negative, but never zero. By graphng tools we find that k must be greater than or equal to 22.75 to have two different zeros.
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
4
Ms. Thorson bought a piece of lace that was 3 feet long. She cuts off as many pieces as possible that are 9 inches long. Will Ms. Thorson have any lace left over? Show and explain your work.
Answer:
No
Step-by-step explanation:
1 foot = 12 in.
3 feet = 36 in.
36 / 9 is 4
4 is an integer
Therefore, none will be left
Answer:
No , there will not be any piece left
Step-by-step explanation:
No of feet :- 3 feet which is 36 inches
If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch
36/9 :- 4
4 is complete no. , so there wouldn't be any piece left .
Two red and two blue blocks are
placed into a bag. You randomly
take one block out of the bag. If
you replace the block each time,
how many red blocks would
you expect to take out if you try
8 times?
Answer:
1/3
Step-by-step explanation:
Probability of an Event = Number of Favorable Outcomes/Total Number of Possible Outcomes
1. There are 1,200 students at Woodland Hills Elementary. Approximately 600 of
the students take the bus home. 50% of the students that do not take the bus
ride their bicycles home. Approximately how many students ride their bicycles
home?
A 100
B 200
С 300
D 400
E 500
1,200 divide by 600 = 2 students
2 students multiply by 50% is 100 students.
So, approximately 100 students ride their bicycles home.
(If not correctly, I am truly sorry)
There are 12 cats and 8 dogs
Answer:
isn't the answer 12/20
add the number of pets to make 20
then there are 12 cats
as a fraction
12/20
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x represents the number of hours walked. How many hours must Wesley walk to travel 16.5 miles?
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.
what is the intial value of the function f(x)=3{5/4}^x
Answer:
3
Step-by-step explanation:
The "initial value" of a function is the value when the independent variable is zero.
f(0) = 3(5/4)^0 = 3×1 = 3
The initial value of the function is 3.
Find the equation of the line that goes to the point (8,-8) that is perpendicular to the line with the equation of y=2/7 x - 26
Step-by-step explanation:
line equation
y = ax + b
a is the slope, b is the y-intercept.
a slope perpendicular to another slope flips x and y upside down and flips the sign.
so, the slope perpendicular to 2/7 is -7/2.
so, our desires line function looks like
y = -7/2 × x + b
to get b we use the given point (and it's x and y coordinates = values).
-8 = -7/2 × 8 + b = -7×4 + b = -28 + b
b = 20
so, the full line equation is
y = -7/2 × x + 20
Please Help ASAP (show work if you want its not needed i just need the answer)
[tex] \cos(60) = \frac{12}{x} \\ [/tex]
[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]
[tex]x = 24[/tex]
_____________________________________________
[tex] \sin(60) = \frac{y}{x} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]
[tex]y = 12 \sqrt{3} [/tex]
Carrie uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Carrie needs to keep track of how many selfies she takes.
There is a proportional relationship between the number of selfies Carrie takes, x, and the amount of storage (in megabytes) she uses taking selfies, y.
x (selfies) y (megabytes)
10 20
12 24
21 42
22 44
Write an equation for the relationship between x and y. Simplify any fractions.
y=
Explanation:
A direct proportion is of the form y = kx
To find k, pick any row to divide the y over x value
k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.
Therefore, we go from y = kx to y = 2x
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
don't spam .-.
thankyou ~
Δ = (-5)² - 4*1*6 = 25 - 24 = 1 = 1²
x' = (5 + 1) / (2*1) = 6/2 = 3
x" = (5-1) / (2*1) = 4/2 = 2
2 solutions : 2 and 3
x² - 5x + 6 = (x - 2) (x - 3)
Can anyone help me on this question?
Solve for x. Round all answers to the nearest tenth.
11
11.7
10.2
11.9
11.9 - last one
Step-by-step explanation:
Adjacent + hypotenuse = Cos / Cah
Cos32 = x/14
x14
11.87... = x
So, 11.9 to nearest tenth
Hope this helps!
At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?
The function h(x) is a transformation of the square root parent function, f(x) = pi x. What function is h(x)?
Answer:
A
Step-by-step explanation:
you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.
Hope that helps
I need help for this one.
Answer:
D. 48 feet
Step-by-step explanation:
Ladder (50 ft) = hypotenuse
Floor distance (14 ft) = b
Wall (unknown) = a
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+14^2=50^2[/tex]
[tex]a^2+196=2500[/tex]
[tex]a^2=2500-196[/tex]
[tex]a=\sqrt{2304}[/tex]
[tex]a=48[/tex]
Hope this helps!
Answer:
48 feet
Step-by-step explanation:
Here,
c = 50 ft
b = 14 ft
To find : the height of the wall that the ladder reaches ( a ) = ?
Formula : -
a² + b² = c²
a² = c² - b²
= 50² - 14²
= ( 50 x 50 ) - ( 14 x 14 )
= 2500 - 196
= 2304
= 48 x 48
a² = 48²
a = 48 feet
Riley tried the following homework question:
On July 1st, the billing date, Jenson's American Express credit card account had a balance of $375.80. The transactions during the
month of July were:
July 5 Payment made $150.00
July 10 Dinning
$74.35
July 18 Car repair
$123.50
July 28 Groceries
$142.50
The card has a low-interest rate of 1.3% per month. What is the balance due on August 1st?
The instruction hinted that "to find the balance due, you need to calculate the Average Daily Balance (ADB)."
So Riley made a running balance table and got ADB = 372.08, finance charge = 4.84, and Riley wasn't sure what to do next to answer
the final question "balance due on August 1st"? Please make a running balance table to show the ADB Riley got, and further explain
how to find the final balance on August 1st. What is the balance due on August 1st? Be specific with your answer.
Answer:
her balance aka ADB would be 372.08
This is a spinner for a game board. color the spinner to show 20% chance of black and 80% chance of red.
Answer:
Step-by-step explanation:
Divide the circle into 10 parts and color 2 parts black and 8 parts red.
PLS HELP OMG I CANT FIND IT
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8
graph below pls help
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
__
The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
_____
Additional comment
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.
Which term best describes vthe figure shown below
Answer:
Line LM
Step-by-step explanation:
A ray has a point at one end, this figure does not.
A line goes out forever in both ends, this is shown by the two arrows. Line LM describes this figure.
Points LM are going to be two separate points, this figure does not have points.
Plane LM will have three points to show a plane, this is a single line.
Using these definitions and facts we know, we can figure out this is best described as Line LM.
what is the third quartile of the following data set? 24,20,35,43,28,42,25,29,44,21,37
Answer:42 is the third quartile
Step-by-step explanation:
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
A ladder reaches a window 30ft above the ground and the foot of the ladder is 16ft from the wall.How long is the ladder?
Please the answer ... Integral
Answer:
[tex]\frac{dx^{2} (x+1)S^{2} }{2(x^{2} +6x+3)^{2} }+ C[/tex]
Step-by-step explanation:
What is the value of the expression (6 + 3)2
15
18
45
81
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
Solve the system using elimination.
2x – 2y = –8
x + 2y = –1
(–3, 1)
(–14, 1)
(0, 4)
(1, 5)
Answer:
(- 3, 1 )
Step-by-step explanation:
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
adding the 2 equations term by term will eliminate y
3x + 0 = - 9
3x = - 9 ( divide both sides by 3 )
x = - 3
substitute x = - 3 into either of the 2 equations and solve for y
substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
solution is (- 3, 1 )
Answer:
(–3, 1)
Step-by-step explanation:
Step 1: Solve for x
2x – 2y = –8 -----------(1)
x + 2y = –1. -------------(2)
Add equation 1 to 2⇒2x + x| -2y + 2y |= -8 -1
⇒3x = -9
Divide both side by the coefficient of x⇒3x/3 = -9/3
⇒x = -3
Step 2; Solve for y
Substitute into equation 2x + 2y = –1
(-3) + 2y = -1
Add 3 from both sides-3 + 2y + 3 = -1 + 3
2y = 2
divide both side by two2y/2 = 2/2
y = 1
So, ( x,y) ⇒(-3,1)