Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
Here is an inequality 4y > 1.2 Which value of y from the { -0.5, -0.3, 0.3, .05 } makes the inequality true?
Answer:
[tex]y = 0.5[/tex]
Step-by-step explanation:
Given
[tex]4y > 1.2[/tex]
Required
Which value of y from [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex] makes the inequality true
First, we need to solve the inequality:
[tex]4y > 1.2[/tex]
Divide through by 4
[tex]\frac{4y}{4} > \frac{1.2}{4}[/tex]
[tex]y > \frac{1.2}{4}[/tex]
[tex]y > 0.3[/tex]
This means that the value of y that makes the inequality true is greater than 0.3.
From the list: [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex]
Only 0.5 is greater than 0.3.
Hence:
[tex]y = 0.5[/tex]
A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid
Answer:
l³+3l - 20 = 0Step-by-step explanation:
Given the volume of a prism expressed as;
V = lwh
l is the length of the prism
w is the width
h is the height of the prism
Since the prism is square based, l = w
The formula becomes
V = l²h
If its height is 3 yards longer than a side of its base, then h = l+3
V = l²(l+3)
V= l³+3l
Given V = 20yd³
The expression becomes
20 = l³+3l
l³+3l - 20 = 0
Hence the representative function for the volume of the solid is l³+3l - 20 = 0
Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?
Answer:
p - 2
Step-by-step explanation:
Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.
Answer:
take the 2 pounds off the dog's regular weight
A person invests $6,650 in an account that earns 5.23% annual interest compounded continuously. Find
when the value of the investment reaches $15,000. If necessary round to the nearest tenth.
The investment will be reach $15,000 in approximately ______ years.
The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?
Step-by-step explanation:
Price increase = $80 - $52 = $28.
Percentage increase = ($28/$52) * 100%
= 53.8% = 54%. (nearest percent)
Answer:
53%
Step-by-step explanation:
Which equation represents the pattern in the table?
Japanese students go to school about 66% of the
days of the year. About how many school days do Japanese students
have in a 365-day year?
Answer:
240.9 (241)
Step-by-step explanation:
66% of 365 is 240.9, which can be simplified to 241 days of 365.
Solve the following expression 8 + (-20)
Answer:
-12
Step-by-step explanation:
integer rule = when a + and - comes it is indicated as - so ..
8-20 = -12
we put a minus sighnbecause 20 is the bigger number
Answer:
-12
Step-by-step explanation:
Note the rules of the signs:
If there are two positive signs next to each other, the resulting sign will be positive. Example + (+ ).
If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+ ) or + (- ).
If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (- ).
In this case, there is one negative, and one positive sign. Subtract 8 with 20:
8 + (-20) = 8 - 20 = -12
-12 is your answer.
~
24x0. 6x1. 21x2. 11x5
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
I need help with this one it does not make scene
Step-by-step explanation:
[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]
[tex]5 {x}^{2} - 4x - 8[/tex]
PLz help an show work for brainlist
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
-4x + 7 = 11
I forgot how to do this and my little sister needs help
Answer:
-1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
-4x + 7 = 11
-7
-4x = 4
divide by -4
x = -1
Please help desperate due today please help
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Answer:
The constant term in the expression is 7
plz give brainlist
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
am smart
Plz help me !!!!!!!!!!!!!
Answer:
It's D ...
hope it helps
Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.
Hey there!
The solution to the system is [tex](\frac{1}{2}, 13)[/tex]
To solve the system, we can multiply the second equation by -1:
[tex]-2x - y = -12[/tex]
Then, we add the two equations together, and solve for x:
[tex]4x = -2[/tex]
[tex]x = \frac{-1}{2}[/tex]
Now, we plug the x value into one of the equations, and solve for y:
[tex]2(\frac{1}{2} ) + y = 12[/tex]
[tex]-2 + y = 12[/tex]
[tex]y = 13[/tex]
Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]
Hope it helps and have an amazing day!
Answer:
(-1/2, 13)
Step-by-step explanation:
Multiply the 2nd equation by -1, obtaining the following system:
6x + y = 10
-2x - y = -12
------------------
Combine like terms, obtaining:
6x + y = 10
-2x - y = -12
------------------
4x = -2
Dividing both sides by 4 yields x = -2/4, or x = -1/2
Substituting -1/2 for x in the second equation yields:
2(-1/2) + y = 12, or
-1 + y = 12. Then y = 13, and the solution is
(-1/2, 13)
Markuo had 20 minutes to do a three-problem quiz. He spent 10 1 4 minutes on question A and 6 4 5 minutes on question B. How much time did he have left for question C?
Name the property illustrated. 69 + 0 = 69
Answer:
zero property of addition
Step-by-step explanation:
Sam worked on his science fair project for 1/4 hour on Friday in 1/2 hour on Saturday what are the four common denominators which are less than 20 for the fractions complete exclamation
Answer:
there is 4, 8, 12, and 16. those are denominators
Answer this correctly, and recieve brainliest!
Answer:
The last one or
a+8=16
Step-by-step explanation:
Subsitute a for 8 and solve
Answer:
Step-by-step explanation:
the last one
8+8=16
a+8=16
what is preferred stock
Answer:
A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.
Step-by-step explanation:
Every kid in Mr. Levans's 3rd grade class made a valentine for every kid in the class, including themselves. If the class made a total of 484 valentines, how many kids are in the class?
Answer:
The answer is 22
Step-by-step explanation:
mia i was there for u all the time i literally helped u and ur mom pay off stuff and you tell me you dont wanna be friends anymore cus im black? thats so disgusting and hurtful bc a 7 yr friendship is down the drain because of my skin color ur dad is black inculding your grandpa so what do u mean just bc you look white dont mean u are ur mixed. so the fact u would even have the audacity to say that hurts me pretty bad and ik you wouldnt say that to ur dad.
Answer:
:( we will all be here for you m :)
Step-by-step explanation:
Answer:
Ong she woulda had to see the hand.
Step-by-step explanation:
...
Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question
Answer:
Jackie collected 61 coins and 20 stamps
Step-by-step explanation:
Solving (a): Variable representation
Let the coins be represented with c
Let the stamps be represented with s
Solving (b): Setup equation
Total is 81. This implies that:
[tex]s + c = 81[/tex]
Also:
[tex]c = 1 + 3s[/tex]
Solving (c): Solve the system
Substitute 1 + 3s for c in [tex]s + c = 81[/tex]
[tex]s + 1 + 3s = 81[/tex]
Collect Like Terms
[tex]s + 3s = 81-1[/tex]
[tex]4s= 80[/tex]
Divide both sides by 4
[tex]s = \frac{80}{4}[/tex]
[tex]s= 20[/tex]
Substitute 20 for s in [tex]c = 1 + 3s[/tex]
[tex]c = 1 + 3 * 20[/tex]
[tex]c = 1 + 60[/tex]
[tex]c = 61[/tex]
Solving (d): Solution statement
Jackie collected 61 coins and 20 stamps
Subject:Mathematics
BRAINLIEST! URGENT! Please help me with this problem, also if you dont know the answer and just typed in some random stuff, it will be reported...dont steal points.
Answer:
The answer is C, -2/3
Step-by-step explanation:
I NEED THE ANSWER ASAP!!!
Answer:
I think the answer is J
Step-by-step explanation:
Help it due ASAP........
Answer: C. ∠5 and ∠6
Step-by-step explanation:
They are linear pairs meaning they form a straight line.
Angles that form a straight line are ALWAYS supplementary (they add up to 180°)
Hope this helped!
arnold wants to make chocolate chip cookies. his recipe calls for 5 cups of flour. his spoon holds 1/6 cup of flour. how many times will arnold need to fill his spoon to get the 5 cups of flour? group of answer choices
Answer:
30 times
Step-by-step explanation:
It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.
Hope this helps
52 ÷ 5 + (42 ∙ 2) – 36 ÷ 9
Answer:
Step-by-step explanation:
42x 2 = 84
52/5= 10.4
-36/9=-4
10.4+84-4=90.4