Problem 1
x = number of years
y = height of the tree in inches
The equation for the first tree (your teacher doesn't mention the type of it) is y = 5x+7.
The 5 represents the slope or rate of change. It tells us how fast the tree is growing per year. The 7 at the end is the y intercept, and the starting amount. Refer to y = mx+b form.
Similarly, the equation for the second tree (oak tree) is y = 3x+11 because it starts off at a y intercept of 11 inches and increases by 3 inches per year, aka the slope.
I recommend making a table of values to see how each tree grows throughout the years.
--------------------
Answer:
The two equations are
y = 5x+7
y = 3x+11
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Problem 2
Let's use substitution to solve for x and y
y = 3x+11
5x+7 = 3x+11 .... replace y with 5x+7
5x-3x = 11-7
2x = 4
x = 4/2
x = 2
Use this x value to find y
y = 3x+11
y = 3*2+11
y = 6+11
y = 17
Or you could say
y = 5x+7
y = 5*2+7
y = 10+7
y = 17
We get the same y value either way, which helps confirm the answer.
--------------------
Answer:
(x, y) = (2, 17)
==========================================================
Problem 3
The result of the previous problem was (x, y) = (2, 17) which is a compact way of saying that x = 2 and y = 17 pair up together.
Going back to how we defined x and y, we can see that x = 2 means that 2 years have passed and y = 17 means that both trees are 17 inches tall.
Interpretation: At the 2 year mark, both trees are 17 inches tall.
Note: 17 inches = 12 in + 5 in = 1 ft + 5 in
Use the Law of Sines to solve for x. Round to the nearest tenth.
F
Х
860
E
39°
7.9
G
Answer:
6.4
Step-by-step explanation:
____ Is the amount of money owed in addition to the original amount
APR
Interest
APY
Principal
Answer:
APR INTEREST
THANKS ME LATUR
telling time in intervals
Answer:
A. 5:12 B. 12:51
Step-by-step explanation:
. Use the smaller hand as the hour hand and the bigger hand to track each minute.
The degree of the polynomial p(y) =(y-4)^3-y^3 is
Plz urgent
Answer:
The degree of polynomial is 2
Step-by-step explanation:
Given
[tex]p(y) = (y -4)^3 - y^3[/tex]
Required
The degree
When expanded, [tex]p(y) = (y -4)^3 - y^3[/tex] is:
[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]
Collect like terms
[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]
[tex]p(y) =-12y^2+48y-64[/tex]
The degree of freedom is 2
If f (2) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.
Answer:
[tex]f(12) = 323.02[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
Step-by-step explanation:
Given
[tex]f(-2.5) = 9[/tex]
[tex]f(7) = 91[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
Required
[tex]f(12)[/tex]
An exponential function is:
[tex]f(x) = ab^x[/tex]
[tex]f(-2.5) = 9[/tex] implies that:
[tex]9 = ab^{-2.5}[/tex]
[tex]f(7) = 91[/tex] implies that:
[tex]91 = ab^7[/tex]
Divide both equations
[tex]91/9 = ab^7/ab^{-2.5}[/tex]
[tex]91/9 = b^7/b^{-2.5}[/tex]
Apply law of indices
[tex]91/9 = b^{7+2.5}[/tex]
[tex]10.11 = b^{9.5}[/tex]
Take 9,5th root of both sides
[tex]b = 1.28[/tex]
So, we have:
[tex]9 = ab^{-2.5}[/tex]
[tex]9 = a * 1.28^{-2.5}[/tex]
[tex]9 = a * 0.54[/tex]
[tex]a = 9/0.54[/tex]
[tex]a = 16.7[/tex]
f(12) is calculated as:
[tex]f(x) = ab^x[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
[tex]f(12) = 323.02[/tex]
I don’t understand stand this can somebody please help me
Answer:
C
Step-by-step explanation:
The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.
So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.
The center is at (5,-1)
that means that x will be written as (x - 5)
And y will be written as (y + 1)
Note: the signs of the center always change to the opposite of what they were.
The answer is (x - 5)^2 + (y + 1)^2 = 49
How do you solve this? Thanks.
Answer:
Simulateneous equation
Step-by-step explanation:
Have to slove the equation given then plot the graph
Answer:
Graph a line segment with endpoints (1,-8) and (-4,3).
Step-by-step explanation:
Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.
Original point -> Corresponding inverse point
(a,b) ->(b,a)
(-8,1) ->(1,-8)
(3,-4) ->(-4,3)
So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).
(The inverse graph is just a reflection of the original relation over y=x.)
What transformation is shown below??
Answer:
translation
Step-by-step explanation:
a translation. a translation is where the figure is moved, but not rotated or reflected.
Complete the following
area model.
7)
[Drop Down 1]
5j
3572
10j
3
[Drop Down 2]
[Drop Down 3]
it's a. not sure if its B. I'll give branliest!
Answer:
P is complementary to x
Step-by-step explanation:
Complementary means adding to 90 degrees
P+x = 90 degrees
So P is complementary to x
Answer:
( A) ∠ P
∠P is complementary angle to ∠ X .
Step-by-step explanation:
Sum of two angles of complementary angle is 90° .∠P and ∠X sum of both angles is 90°.So, they are complementary angle.P + X = 90°
P is complementary to X.
who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9
Step-by-step explanation:
thank youjjdjdkdkdkdkkdididososiid
What is the length of line segment CD?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair
Answer:
Assume you need to find distance CD, between points C(-2, 2), D(4, -4)
Use distance formula:
[tex]CD = \sqrt{(4 + 2)^2+(-4-2)^2} = \sqrt{72} = 6\sqrt{2}[/tex] ≈ 8.5 unitsAnswer:
C(x1,y1)=(-2, 2), D(4, -4)
D(x2,y2)=(4, -4)
we have
the length of line segment CD
=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]
Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in
component form.
Answer:
(-10, -8)
Step-by-step explanation:
4u
Each component of vector u is multiplied by 4. So
u = (3, 1)
4u = (4*3, 4*1) = (12,4).
v – 4u
Subtraction of the components of vector v by the components of the vector 4u. So
v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)
The value is (-10, -8)
A group of friends wants to go to the amusement park. They have $304.50 to spend
on parking and admission. Parking is $16.50, and tickets cost $32 per person,
including tax. How many people can go to the amusement park?
Answer:
9 people can go to the amusement park.
I need help right now
Answer:
240.625
Step-by-step explanation:
Circumference = 55 m. = 2pi*r
Radius of enclosure, r = 55/(2pi)
Area of enclosure
= pi (r^2)
= pi (55/2pi)^2
= 55^2/(4pi)
=3025/4pi
substitute pi = 22/7
= 1925/8
= 240.625
SSS SAS ASA or SSA or HL and explain
Answer:
SSS
Step-by-step explanation:
∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"
so the size of sides doesnt change
Will give brainiest and extra points if the answer is correct
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].
Step-by-step explanation:
In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.
By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].
Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].
Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?
Ahmir is 20, Brynn is 5.
Ahmir is 60, Brynn is 40.
Ahmir is 25, Brynn is 5.
Ahmir is 5, Brynn is 25.
PLEASE HELP ME!!
Two sides of a right triangle are 8 and 12 in.
a. Find the missing side if these are the lengths of the legs.
b. Find the missing side if these are the lengths of a leg and hypotenuse.
a rectangle has a height of 5x and a width of x+2 express the area of the entire retangle
Answer:
6x+2
Step-by-step explanation:
When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?
Juan plans to use strategies to find 12x380 shows a strategy he could use
Answer:
3 x 4 x 380
Step-by-step explanation:
The correct strategy that he could use would be
3 x 4 x 380
This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min
Answer:
Between 100 and 125
Step-by-step explanation:
Given
[tex]Min =60[/tex]
[tex]Q_1 = 100[/tex]
[tex]Median = 110[/tex]
[tex]Q_3 = 125[/tex]
[tex]Max =150[/tex]
Required:
Between which values will the box of the box plot will stretch
All box plots stretches between the lower quartile and the upper quartile.
From the question, we have:
[tex]Q_1 = 100[/tex] ---- lower quartile
[tex]Q_3 = 125[/tex] ---- upper quartile
Hence, the box will stretch between 100 and 125
Given the Graph, identify the slope
Answer: The slope is -5/3 or -1.4
Algebra
[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]s = \frac{5}{3} [/tex]
the sum of 3 times mand 4 times m
Answer:
7mStep-by-step explanation:
Given ,
Sum of 3 times m = 3m
And 4 times m = 4m
Hence,
Sum is = 3m + 4m = 7m (Ans)
Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?
Answer:
$30
Step-by-step explanation:
T = 750
B = 60(12)
T - B = X
750 - 720 = 30
Answer:
Tom saves 30 more dollars
Step-by-step explanation:
There’s 12 months in a year so
60 x 12 = 720
Tom has 750 so take away 720 that bill makes a year = 30
Find a rational number between the two points shown.
Answer:
Is it any of the rational numbers? There are an infinite number of rational numbers. Rational numbers are any numbers that can be written as a fraction. All the integers between those two points (-2, -1, 0, etc.) are all rational. Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.
Step-by-step explanation:
Find the equation for the
following parabola.
Vertex (-2,-4)
Focus (-4,-4)
A. (7-4)2 = -8(x-2)
B. (x+4)2 = 8(y+2)
C. (y+4)2 = 8(x+2)
D. (y+4)2 = -8(x+2)
Answer:
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Step-by-step explanation:
Equation of a parabola:
The equation of a parabola has the following format:
[tex](y - k)^2 = 4p(x-h)[/tex]
In which the center is (h,k) and the focus is (h+p,k).
Vertex (-2,-4)
This means that [tex]h = -2, k = -4[/tex]
So
[tex](y - k)^2 = 4p(x-h)[/tex]
[tex](y - (-4))^2 = 4p(x-(-2))[/tex]
[tex](y+4)^2 = 4p(x+2)[/tex]
Vertex (-2,-4)
Focus (-4,-4)
-4 - (-2) = -4 + 2 = -2
So p = -2 and
[tex](y+4)^2 = 4(-2)(x+2)[/tex]
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Answer:
(y+4)2=−8(x+2)
The answer would be D.
Internet service providers (ISP) need to resolve customer problems as quickly as possible. The probability for a customer call regarding Internet service interruption is resolved within one hour is 70%. During one day, the company had 10 customer calls. (10 marks)
a) What is the probability that exactly four of the customers had their problems solved? (Round your answer to the nearest thousandth).
Answer: 0.037
Step-by-step explanation:
The probability that exactly four of the customers had their problems solved will be 0.037.
Check attachment for further details. Note that 10!/6!4! = (10×9×8×7×6×5×4×3×2×1)/(6×5×4×3×2×1×4×3×2×1) = 210
Therefore,
= 210 × 0.7⁴ × 0.3^6
= 0.037
Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5