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]
Learn more about the function here:
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PLS HELP BRAIN LIST IF YOU GET IT RIGHT
Answer:
1 , 2 , 3, 4
Step-by-step explanation:
An expression is a finite combination of symbols that is well-formed according to rules that depend on the context. meaning it has no = sigh
find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000
You have to have the 2 or 3 as the first digit.
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
The number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000 is 9.
What is permutation?A permutation is a word that describes the number of ways things can be ordered or arranged.
Given are numbers, 0,1, 2, 3
We asked for numbers greater than 2000, so those numbers will start either from 2 or 3.
2 _ _ _ = 3! = 6
3 _ _ _ = 3!/2! = 3
Hence, total possible ways are 6+3 = 9
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If
1/3
of a gallon of orange juice is shared equally between 4 friends, how much orange juice will each friend receive?
Answer:
1/12
Step-by-step explanation:
1/3*1/4
1/12
third gallon turned into quarters to give to each friend. multiply the amount by the portion size
can someone please help me with this, will give brainliest :)
The table below gives the approximate distance from the sun for a few different planets.
5) Slope = -5, y-intercept = 5
Answer:
yhtgree
Step-by-step explanation:
help please!! Math, 3 questions.
Answer:
Easy so first you have to find the ratio then your done!
Step-by-step explanation:
Answer:
12 is 5
13 is 80%
14 is $3000
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!
A pair of linear equations is shown below:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)
Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
The two equations are in slope intercept form which is y = mx + b where m is the slope and b is the y-intercept.
In the first equation (y = -2x + 3), -2 is the slope since it is the coefficient. "b" is 3 since it is the constant of the equation.
In the second equation (y = -4x -1), -4 is the slope is the coefficient, and the y-intercept is -1 since it is the constant.
To solve the equations graphically, graph them and find the point where they intersect.
Step-by-step explanation:brainlist
Answer: C
Step-by-step explanation:
Use the number line to help you answer the question. Which statements are true? Check all that apply.
Answer: what are the answer choices
Step-by-step explanation:
Answer:
the first on and the last one
Step-by-step explanation:
Find the product.
(−3)(8)
Answer:
-24 is the correct answer
Step-by-step explanation:
Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. whats the multiplier and an equation for this
Answer:
The multiplier is 0.85
The depreciation equation is;
P = I(0.85)^t
Step-by-step explanation:
Let us write an equation for the depreciation
It is in the form;
P = I( 1 - r)^t
where P is the present value
I is the value at which it was bought
r is the depreciation percentage = 15% = 15/100 = 0.15
t is the number of years after byte year it was bought
so we can have;
P = 1000(1 - 0.15)^t
P = 1000(0.85)^t
The
multiplier is 0.85
i really need help with math
Answer:
[tex]m\angle BED = 34^\circ[/tex]
Step-by-step explanation:
Angles in a Circle
We need to recall some basic concepts.
An inscribed angle is the angle formed in the interior of a circle when two secant lines intersect.
An arc of a circle is a portion of the circumference of the circle.
Theorem: Inscribed angles subtended by the same arc are equal.
In the figure provided, the points BD form an angle of 34° and the arc BD.
Similarily, arc BD also has two secants BE and DE that form the angle BED.
Thus, applying the above theorem, angle BED and 34° are subtended by the same arc, and the measure of BED is also 34°
[tex]\mathbf{m\angle BED = 34^\circ}[/tex]
8x = 8+2(x-10)+3x hurry please ill give you brain lesst
Answer:
x = -4
Step-by-step explanation:
8x = 8 + 2(x-10) + 3x
simplify
8x = 8 + 2x - 20 + 3x
simplify again
8x = 5x - 12
subtract 5x from both sides
3x = -12
divide both sides by 4
x = -4
Which sentence includes a word that is used incorrectly
Last one for the day uwu
Answer:
2 2/25
Step-by-step explanation:
ngl I almost forgot how to do this...
But here's your answer!!
52/25 OR 2 2/25
how I got it:
5/6 divided by 4 which equals 0.208333333333/1000000000000
then i simplify that and its 52/25 and to make it even more simplified its
2 2/25
<3 Enjoy,
Dea
A jwelery supply shop buys silver chains from a manufactorer for c dollars each and then sells the chains at a 57% markup
write the markup as a decimal
Answer: The expression for the retail price of a silver chain is 1.4c.
Step-by-step explanation:
Let the amount of jewelry be c dollars.
Rate of mark up = 40%
So, Amount of mark up would be
[tex]\frac{40}{100}[/tex] times c
= 0.4c
So, Amount after mark up would be
c+0.4c
=1.4c
Answer: The expression for the retail price of a silver chain is 1.4c.
You have -1 point after level 2 of a video game. Your score is 24 points less than your friends score. Write and solve an equation to find our friends score after level 2
Answer:
Our friends score after level 2 is 23
Step-by-step explanation:
Here, we want to find our friends score after level 2 of the game
From the question;
Your score is 24 points less than your friends;
Let the friends score be x
Thus;
x-24 = -1
x = -1 + 24
x = 23
-10 + 7/4p = -38 I’m trying to figure it out but I just can’t
P = -16 I'm pretty sure
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
0 -6
05
05
O 6
The value of x that is the solution set of the inequality is: D. 6
How to Solve an Inequality?Find the value of x in the inequality, -2(3x + 2) > -8x + 6, by isolating x:
-2(3x + 2) > -8x + 6
Open bracket
-6x - 4 > -8x + 6
Add like terms
-6x + 8x > 4 + 6
2x > 10
x > 10/2
x > 5
This means that all possible values of x are greater than 5. 6 is greater than 5.
Therefore, the solution set is: D. 6
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A book was bought for $200 and sold for $250. Calculate the profit percent.
Answer:
I thinks its 25%
Step-by-step explanation:
the product of y and 4 is less than -16
Answer:
4 times 4 < -16
Step-by-step explanation:
Hope this helps!!
The population of a town doubled in 5 years, then doubled again in the next 10 years. What is the percent of increase?
A).100%.
B).300%.
C).200%.
D).400%.
An erercise machine with an original selling price of $1,275 is marked down by 20%. What is the sale
price of the evercise machine?
The sale price is $ (and to the nearest cant as cents)
Answer: The machine would now be $1020
Step-by-step explanation: Multiply $1,275 by 0.8 because 0.8 is 20% off, then you get your answer.
Answer:
1020
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
A
Step-by-step explanation:
I’m pretty sure this is the right answer
Answer:
1
Step-by-step explanation:
The line passes through (1,4) and (3,18).
The equation of the line is
Answer:
I think the answer is a proportional relationship
Find the slope of the line passing through the points (-5,3) and (7,9)
what is the value of MB between A and B?
Answer:
MB = 26
Step-by-step explanation:
AM = 2x - 3
MB = 5x + 1
AB = 21 - (-12)
= 21 + 12
= 33
According to the question M is between A and B. So,
[tex] \rm \longrightarrow AB = AM + MB \\ \\ \rm \longrightarrow 33 = (2x - 3) + (5x + 1) \\ \\ \rm \longrightarrow 2x - 3 + 5x + 1 = 33 \\ \\ \rm \longrightarrow (2x + 5x) + (1 - 3) = 33 \\ \\ \rm \longrightarrow 7x - 2 = 33 \\ \\ \rm \longrightarrow 7x - 2 + 2 = 33 + 2 \\ \\ \rm \longrightarrow 7x = 35 \\ \\ \rm \longrightarrow \dfrac{7}{7} x = \dfrac{35}{7} \\ \\ \rm \longrightarrow x = 5[/tex]
[tex] \therefore [/tex] Value of MB = 5 × 5 + 1
= 25 + 1
= 26
I'm not really understanding how to set this up
Answer: x = 21; y = 29.5
because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°
we also have: (3x - 4)° = 59° ( because of 2 parallel lines)
⇔ 3x = 59 + 4 = 63
⇔ x = 63/3 = 21
Step-by-step explanation:
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width? Input your answer as a fraction.
Answer:
3/10
Step-by-step explanation:
Answer:
w=3/2
Step-by-step explanation:
1/2=1/3w
3/2=w
hope this helps! brainliest?
the lenght of a rectangle is 2.4 meters long and the diagonal is 4 what is the width of the rectangle
What is 7(15) divided by 6
Answer:
the answer is 35/2 or 17.5
Step-by-step explanation:
calc
Answer:
17.5Step-by-step explanation:First multiply 7 (seven) and 15 (fifteen) and once you get your answer for that (which is 105) then you divide 6 by that number. which is when you will get your answer, which is 15.5.
7(15)= 105
105/6= 17.5