Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.
The complete table of the function is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
The equation missing from the question is:
[tex]y = 72 - 12x[/tex]
To complete the table, we simply calculate the y value for each x value;
When [tex]x = 0[/tex], [tex]y = 72 - 12 * 0 = 72[/tex]
When [tex]x = 1[/tex], [tex]y = 72 - 12 * 1 = 60[/tex]
When [tex]x = 2[/tex], [tex]y = 72 - 12 * 2 = 48[/tex]
When [tex]x = 3[/tex], [tex]y = 72 - 12 * 3 = 36[/tex]
When [tex]x = 4[/tex], [tex]y = 72 - 12 * 4 = 24[/tex]
When [tex]x = 5[/tex], [tex]y = 72 - 12 * 5 = 12[/tex]
When [tex]x = 6[/tex], [tex]y = 72 - 12 * 6 = 0[/tex]
So, the complete table is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.
See attachment for graph
Learn more about graphs at:
https://brainly.com/question/20106471
Answer:
Step-by-step explanation:
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Find the missing letter.
Answer:
The missing letter is ( J )
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
Which number is a solution of the inequality?
3x - 15 ≥ 3
a.) -9/11
b.)6/11
c.)6
d.)5
Answer:
6
Step-by-step explanation:
[tex]3x - 15 \geqslant 3[/tex]
[tex]3x \geqslant 3 + 15[/tex]
[tex]x \geqslant \frac{18}{3} [/tex]
[tex]x \geqslant 6[/tex]
A square has a perimeter of 4 cm. What is the length of each side?
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
which is the equation of the line with slope 0 passing through the point (-1,-2)?
The answer is A.
Because it goes 2 down
Does the graph represent a function? Why or why not?
Answer:
D. Yes, because it passes the vertical line test.
Step-by-step explanation:
In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.
Answer:
D.
Brainliest, please!
Step-by-step explanation:
This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.
Determine the value of y, if x is -5.
y = |x| – 6
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
The volume of this cube is 64 cubic feet. What is the value of a?
Answer:
a = 4 feet
Step-by-step explanation:
Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.
[tex]\sqrt[3]{64}=4[/tex]
Therefore, a = 4 feet.
Answer:
4
Step-by-step explanation:
To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:
a^3 = 64
With the equation, we can realize 4*4*4 is 64, meaning a is 4.
Round 332.749 to:
tens
and
hundredths
Answer:
To the nearest ten, 330 would be the answer
To the nearest hundredth, the answer would be 332.75
Step-by-step explanation:
I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)
Find the missing length indicated.
Answer:
Does the answer help you?
please help me i will give brainliest!
Answer:
135
Step-by-step explanation:
Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.
Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.
Then divide 2 7/64 by 1/64 to get 135.
Hope this helps!
If there is something wrong, just let me know.
What is the factored form of 6x^2-13x-5
Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)
2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)
3. Set up 4 different pre-FOIL factored expressions.
4. Check and see which one works. It's (2x - 5)(3x + 1)
1+1+7+9+9+999999999999=?
Answer:
1000000000026
Step-by-step explanation:
i hope this helps!!!!!
for f(x)= -4x + 5, find f(x) when x = -2.
Answer:
13
Step-by-step explanation:
f(x)= -4x + 5
Let x = -2
f(-2) = -4(-2) +5
= 8+5
= 13
Step-by-step explanation:
x = - 2
f ( x ) = - 4x + 5
f ( - 2 )
= - 4 ( - 2 ) + 5
= 8 + 5
= 13
evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)
Answer:
a). 7
b). -17
c). -2
Step-by-step explanation:
You have to substitute the given x value into the equation.
a). f(3)= 3(3)-2
=9-2
=7
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
what percent of 65 gives you 33
Answer:
50.8%
Step-by-step explanation:
Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%
Which expression is equivalent to
(4x2x3)(3x*y)2?
Answer:
48(3xy)
Step-by-step explanation:
(4 * 2 * 3)(3xy)2
24(3xy)2
48(3xy)
Find the measure of the indicated angle to the nearest degree.
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
PLEASE HURRY
A. 70.8 ft^2
B. 69.1 ft^2
C. 65.8 ft^2
D. 73.6 ft^2
Answer:
D. 73.6 ft^2
Step-by-step explanation:
Using trigonometry to get our answer: (we can use SAS to find the area)
A = 0.5 * side a (10ft) * side b (16ft) * sin(67)
A = 80 ft * sin(67)
A = 73.64 ft
Find an equation of the line through the given points right the answer and slope intercept form
Answer:
equation is y = 2-x
Step-by-step explanation:
x1 = -3
y1 = 5
x2 = 4
y2 = -2
now
m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1
so m = -1
now
y =mx + b
-2 = -1×4 + b
or, -2 = -4 +b
so, b = 2
now
y = mx+b
y = -1x + 2
or, y = 2-x
A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
What is the underlined sentence mean can someone explain
Step-by-step explanation:
1235
Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.
So 2 is in tens.
Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.
HOPE ITS HELPFUL
Answer:
4544
Step-by-step explanation:
The underlined sentence means that the 2nd and third values must be different, for example
4554 has 5 in the 2nd and 3rd place so cannot be this
4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine
Since the number is even then it is 4544
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
