Answer:
A.
Step-by-step explanation:
You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, where x is the horizontal distance (in feet) from where you are standing. You raise the hose so that the water hits the ground 1 foot farther from where you are standing. Write a function that models the new path of the water.
Answer:
[tex]g(x) = -0.1x^2 + 0.5x + 3.6[/tex]
Step-by-step explanation:
Given
[tex]h(x) = -0.1x^2 + 0.7x + 3[/tex]
Required
Determine the new function
From the question, we understand that the new function wants the water to hit the ground 1 ft farther.
1 ft farther implies x + 1
So, in the given function, we substitute x + 1 for x in [tex]h(x) = -0.1x^2 + 0.7x + 3[/tex]
This gives:
[tex]h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1) + 3[/tex]
Expand Bracket
[tex]h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1) + 3[/tex]
[tex]h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1) + 3[/tex]
[tex]h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7 + 3[/tex]
Collect Like Terms
[tex]h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7 + 3-0.1[/tex]
[tex]h(x + 1) = -0.1x^2 + 0.5x + 3.6[/tex]
Hence, the new function is:
[tex]g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6[/tex]
[tex]g(x) = -0.1x^2 + 0.5x + 3.6[/tex]
The new model for path of water will be, [tex]h(x+1)=-0.1x^{2} +0.5x+3.6[/tex]
To understand more, check below explanation.
Height function:The height h (in feet) of water spraying from the garden house can be modeled by,
[tex]h(x)=-0.1x^{2} +0.7x+3[/tex]
where x is the horizontal distance (in feet) from where you are standing.
Since, you raise the hose so that the water hits the ground 1 foot farther from where you are standing.
So that, new function will be,
[tex]h(x+1)=-0.1(x+1)^{2} +0.7(x+1)+3\\\\h(x+1)=-0.1(x^{2} +2x+1)+0.7x+0.7+3\\\\h(x+1)=-0.1x^{2} -0.2x-0.1+0.7x+0.7+3\\\\h(x+1)=-0.1x^{2} +0.5x+3.6[/tex]
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the watch bee would like to buy costs $10 less then 2 times the amount she has saved the watch costs $50. how much money does bee have saved?
Answer:
20$
Step-by-step explanation:
50 - (2x - 10) = x
50 + 10 = x + 2x
60 = 3x
60/3 = x
20 = x
Como se resuelve un circuito en serie matemáticamente?
Answer:
Step-by-step explanation:
En un circuito en serie, toda la corriente pasa a través de cada uno de los resistores, uno a la vez. Esto significa que cada resistor contribuye su resistencia completa al circuito. Si conoces el valor individual de cada resistencia, solo súmalos para encontrar la resistencia total del circuito.
In a series circuit , all of the current passes through each of the resistors, one at a time. This means that each resistor contributes its full resistance to the circuit . If you know the individual value of each resistor, just add them together to find the total resistance of the circuit .
find the measure of the missing angles in the kite.
Angle 1 = 90 degrees
Angle 2 = 63 degrees
Angle 3 = 63 degrees
1. Asking a member of each household within a neighborhood about the condition of roads within that neighborhood is an example of measuring a _____.
a. population
b. sample
c. not enough information to decide
PLEASE HELP ITS DUE AT nov 17 at 11:59
A poster board was cut into equal pieces, and 3 pieces were used for
drawings. The fraction below shows how much of the poster board is left.
According to the fraction, how many pieces were not used for drawings?
8/11
A. 11
B. 8
C. 3
D. 5
Answer: 8. There were 11 pieces and 3 were used, so 8 are left.
an oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
A) 1/12 • 3 hours
B) 1/3 • 12 hours
C) 1/3 • 1/12 hour
D) 3 • 12 hours
Answer:
It's C
Step-by-step explanation:
Correct me if i'm wrong.
But it seems to make sense with my calculations....
Divide: 5 divided by 5/6
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after months is $. For Account B, the simple interest earned after months is $. If the interest rate is % for Account A and % for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer and Step-by-step explanation:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
Mom has ⅘ quart of strawberries. She needs to fill ¼-quart jars. How many jars will she be able to fill?
Cody has a bag of 28 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?
The total length of all 28 pencils is __ meters.
Answer:
504
Step-by-step explanation:
Ruben brought 2 large popcorn buckets and 4 small drins for 20. Lucia bought 2 large popcorn buckets and 2 small drinks for 14.What was the cost of the large popcorn and the small drinks
Answer:
Cost of large popcorn = 4
Cost of small drinks = 3
Step-by-step explanation:
Given that :
Let cost of large popcorn = x
Cost of small drinks = y
Cost of 2 large popcorn and 4 small drinks
2x + 4y = 20
2x + 2y = 14
x + 2y = 10 - - - (1)
x + y = 7 - - - (2)
Subtract :
2y - y = 10 - 7
y = 3
Substitute y = 3 into (2)
x + 3 = 7
x = 7 - 3
x = 4
Hence,
Cost of large popcorn = 4
Cost of small drinks = 3
How does the simulation work?
ok so basically the technology forces ur mind to trick ur body into actually thinking that it is experiencing the things they want you to experience, and then the actions of life are coded into our brains.... ect
Tammy, Kelley, and Jim love reading books. Tammy read 7.75 hours last month. Kelley read 7.69 hours. Jim read 7.075 hours. Who spent the most time reading
Answer:
Tammy
Step-by-step explanation:
Tammy read 7.75 hours last month. Kelley read 7.69 hours
Jim read 7.075 hours.
We would arrange the hours of reading from smallest to the highest
7.075, 7.69, 7.75
The person who spent the most time reading is the person with the highest number of hours that was spent reading. This person is Tammy.
Therefore, person who spent the most time reading is Tammy because she read for 7.75 hours.
The person who spent the most time reading is Tammy.
Tammy read 7.75 hours last month reading.Kelley read 7.69 hours reading.Jim read for 7.075 hours.Therefore, from the decimals given, we can see that the highest is 7.75 hours that was used by Tammy.
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for what value of a does the equation 3(2x-a)=2(3x+12) have infinitely many solutions to x
Answer: a = -8
3(2x - a) = 2(3x + 12)
⇔ 6x - 3a = 6x + 24
⇔ - 3a = 24
⇔ a = -8
Step-by-step explanation:
Answer:
X=24
Step-by-step explanation:
3(2x-a)=2(3x+12)
6x-3a=6x+24
-6x both sides.
-3a=x+24
Get rid of the -3a.
x+24
divide by x both sides.
x=24
HELP!!! PLEASE Jessica has already knitted 1 cm of scarf and can knit 2 cm each night. How many nights will Jessica have to spend knitting in order to knit a total of 9 cm??
Answer: ___ nights
Jessica will need to continue knitting for 4 nights.
9cm - 1cm = 8cm
8cm / 2cm = 4 nights
Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx
Which symptom is the main indication that a person is having a heart attack?
shortness of breath
sudden pressure or pain in the chest
sore arms
vomiting
Answer:
Sudden pressure or pain in the chest
Step-by-step explanation:
The main symptom of the indication that a person is having a heart attack is that the person feels discomfort or heaviness in the center of the chest. Some other symptoms can be unusual fatigue, shortness of breath, nausea, cold sweats, or indigestion.
Hence, the correct option is (b) "sudden pressure or pain in the chest".
Answer:
b. sudden preassure or pain on chest
Step-by-step explanation:
8One fifth of a number plus three times the number is equal to twice the
number plus 42. What is the number?
Show your work
Answer:
x=-7
Step-by-step explanation:
Set up an equation: 1/5x+3x=2x+42 This is the equation. Now solve.x+3x=10x+42 4x=10+42 6x=-42 x=-7 Hope this helps :D
Complete the missing value in the solution to the equation
What is the simple Intrest to 1,250 at 4.5% for 2 years
Answer:
1,362.50 Dollars
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year.
Solving our equation:
A = 1250(1 + (0.045 × 2)) = 1362.5
A = $1,362.50
Then You Get 1362.50 Dollars
Find the slope of the line that passes through (10,9) and (5,11)
Answer:
-2.5
Step-by-step explanation:
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
A) (0,1)
B) (1,1)
C) (2,1)
Answer:
b
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
Using the rise 2 run 1 method, you would get 1,1. Rise 2 (y + 2) run 1 (x + 1)
what is the value of x
Answer:
11
Step-by-step explanation:
3x+2
3(11)+2
33+2
35
whats the first four composite numbers
Which organisms do primary consumers mainly eat?
Answer:
what kinda Question is that
Step-by-step explanation:
7b−15=5b−3 solve for b
Step-by-step explanation:
7b-5b=-3+15
2b=12
b=12/2
b=6
Answer:
[tex]b = 6[/tex]
Step-by-step explanation:
1.) We need to manipulate the equation to get b by itself.
2.) Subtract 5b from each side. Combine like terms. Add 15 to each side. Combine like terms. Divide each side by 2. Simplify.
Which of these statements is true for f(x) = (9/10)X?
O A. It is always decreasing.
B. The domain of f(x) is x > 0
C. The range of f(x) is y > 9/10
D. The y-intercept is (0,1)
A car dealer has 120 cars in stock, all either four-door or two-door. There are 4 times as many four-door
cars as two-door cars. How many two-door cars are in stock?
O 24
O 30
0 36
0 40
Answer:
40
Step-by-step explanation:
A baby grows 4 inches every 6 months. What is his rate of change?
Answer:
4:6 but if you reduce it is 2:3
Step-by-step explanation: