Answers
Answer: Check out the diagram below for the filled out table
Equation is y = 1.5x
Box for row one = 330
Box for row two = 1000
Box for row three = 1.5
===========================================================
Explanation
x = amount of fish in grams (horizontal axis)y = number of calories (vertical axis)The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope
slope = y/x = 300/200 = 1.5
This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.
The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.
So if x = 220, then y = 1.5x = 1.5*220 = 330
220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.
-----------------
We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).
y = 1.5x
1500 = 1.5x
1.5x = 1500
x = 1500/(1.5)
x = 1000
Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.
------------------
The third row of the table is going to follow the same steps as the first row.
y = 1.5x
y = 1.5*1
y = 1.5
One gram of fish produces 1.5 calories
The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.
Related Questions
Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.
Answers
Answer:
f(x) = x^3 + 7x^2 + 7x -15
Step-by-step explanation:
f(x) = (x+5)(x+3)(x-1)
f(x) = (x^2 + 3x + 5x + 15)(x-1)
f(x) = (x^2 + 8x + 15)(x-1)
f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15
simplify
f(x) = x^3 + 7x^2 + 7x -15
Answer:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
Step-by-step explanation:
By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)
For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].
Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].
All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].
Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:
[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].
When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
PLEASE HELP!! find the value of x. attached image.
Answers
Answer:
x = 4
Step-by-step explanation:
The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.
In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.
[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]
Answer:
x = 4Step-by-step explanation:
9x - 8 = 28 ( converse of isosceles triangle )
(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)
[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]
Which of the following are involved in graphs of linear equations.
* Intercepts
* The graph is a curve
* The graph is the solution set.
* Slope
* The equation usually has a squared variable
Answers
Answer:
Step-by-step explanation:
* Intercepts YES The point where the line crosses the y axis (the value of y when x=0)
* The graph is a curve No. It would not be a linear equation.
* The graph is the solution set. Yes.
* Slope Yes
* The equation usually has a squared variable No
I didn't pay attention today
Answers
Answer:
because you was busy and nor interested in paying attention.
e. Find the slope of the line that passes through the points (1, 3) and (9,7),
Answers
Answer:
0.5
Step-by-step explanation:
→ Find the difference in y
7 - 3 = 4
→ Find the difference in x
9 - 1 = 8
→ Divide the results
4 ÷ 8 = 0.5
Answer:
The slope is 1/2 (m=1/2)
Step-by-step explanation:
Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]
1+1=3 proof
needs step by step explanation
Answers
Answer:
1+1=3, See explenation
Step-by-step explanation:
1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3
How do you factor x³-9?
Answers
Answer:
(x² + 3)(x-3)
Step-by-step explanation:
Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.
Hope this helps!
(X-3)(x^2+3x+9)
The formula is (a+b)(a^2+ab+b^2) but the pluses and minuses follow SOAP
What is a2-b2 equal to?
Answers
Step-by-step explanation:
One Solution.
a? + b2= c2, is called the Pythagorean Theorem.
For example
42+32=62
16+9= c2
25=62
Second solution: Formula of algebra
a2+62
Cause,
(a+b)2= a?+ b2 + 2ab
So, a?+ b2= (a+b)2-2ab
There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?
Answers
Answer:
that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not
Answer:
he ate 5 slices
Step-by-step explanation:
40/8=5 you would thinks you are timeing the answerThe long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?
Answers
Answer:
17 ft 8 in
Step-by-step explanation:
Solve for x
-7x - 8 = 10x +4
Answers
Answer: put 14
Step-by-step explanation:
what would be the resulting difference if the line transition: width 2s, height 2s; was removed from the first css rule?
Answers
Answer:
ages would no longer get larger as the mouse hovers over them. The transition would happen over 10s, since this is the default duration.
Step-by-step explanation:
1000000x900=?????????????
Answers
Answer:
The answer is 900000000
Answer:
900000000, or 9.0x 10^8
Step-by-step explanation:
do 1(9)=9
then add the 0's behind.
-0.5x=3.6
F. -72
G. -7.2
H. 7.2
I. 72
Answers
Answer:
G
Step-by-step explanation:
3.6÷-0.5 is -7.2, so it's G
Line N passes through the points (-1, 4) and (-1, -4).
5
4
3-
2
1
-5 -4 -3 -2 -14
1
2 3 4 5
x
X
اسة.
5
3
ܛܝܝܝ
5
Which is true of line N?
Answers
Answer:
i don't know btw is this eighth grade
What is the distance between (7, 1) and (-4, -5)?
Answers
Answer:
The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]
[tex]d=\sqrt{36+121}[/tex]
[tex]d=\sqrt{157}[/tex]
Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Answer: The distance between (7,1), and (-4, -5) is 12.53.
Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .
Answers
Answer:
P(x)= x^3 - 4x^2 + 16x - 64
Step-by-step explanation:
First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.
(x-4)(x+4i)(x-4i)
If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.
When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers
Answers
Answer:
k = 1 or 2 or 5 or 10
Step-by-step explanation:
Suppose GCD is k, 2 numbers are kA and kB
LCM is k*A*B,
GCD*LCM: k*(k*A*B) = 200
k² * A*B = 200
A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
k² (k is integer) could be 1, 4, 25, 100
k = 1 or 2 or 5 or 10
I NEED HELPP WITH THIS
Answers
Answer:
Look at the screenshots
Step-by-step explanation:
winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?
Answers
Answer:
35%
Step-by-step explanation:
Find out what percent 91 is of 140
91÷140 = 0.65
Then find out how much was reduced by subracting 0.65 from 1
1 - 0.65 =0.35
The coat was reduced by 35%
Determine whether the following sequence is arithmetic,
geometric, or neither.
1. 4, 1, 2
2. 4, 20, 100
3.212 106,53
Answers
=================================================
Explanation:
The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.
----------
The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.
---------
The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO
Answers
Therefore, we can create an equation to find the measure of angle 1, given the two other angles.
76+59+x=180. x=the measure of angle 1 (unknown).
135+x=180. [76+59=135]
135-135+x=180-135 [Isolate x by subtracting 135 from both sides]
x=45.
Therefore, the angle measure of angle 1 = 45°
Replace the power with a product and then transform the product into a polynomial. (1-y)^2
Answers
Answer:
1-2y+y^2
Step-by-step explanation:
(1–y)^2
(1-y) * (1-y)
FOIL
first: 1*1 =1
outer: 1*-y = -y
inner: -y *1 = -y
last: -y*-y = y^2
Add together: 1+-y-y+y^2
Final answer1-2y+y^2
Credit:
wegnerkolmp2741o
He solved it earlier.
1
x 1.0 -
=
10
1
-
10 x 1.0
Answers
Step-by-step explanation:
the question doesn't make sense and you need to rephrase the question.
When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negative numbers.
In algebra, we transfer these same skills to expressions involving variables. What elementary skills have you used so far in this course, and how have you extended them?
PLESE ANSWER AS FAST AS YOU CAN, IT MEANS ALOT!
Answers
Answer:
I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.
hope that helps
Step-by-step explanation:
You went 160 miles in 20 hours. What is the constant of proportionality that relates the y, the distance in miles to x, the time in hours?
Answers
Answer:
X = Y times 8
Step-by-step explanation:
You need to figure out how many miles you can go in an hour.
160/x and 20/1
20x=160
x=8
You can go 8 miles in 1 hour.
Therefore, if X is 1 and Y is 1
1 = 8
1 hour equals 8 miles
Which equation could have been used to create this table? need answer fast
y = x + 6
y = x + 5
y = 6x
y = 7x
Answers
Answer:
y=6x
Step-by-step explanation:
Each value for y is can be divided by 6 for the value of x
Answer:
y=6x
Step-by-step explanation:
Evaluate the expression when c=−4 and y=2
-y+4c
Answers
Answer:
-2 - 16 = -18
Step-by-step explanation:
-y+4c
You take the values for c and y and substitute them in the original equation.
It would then look like:
-(2) + 4(-4)
Solving that would be -2 -16 = -18
Answer:
-18
Step-by-step explanation:
-(2)+4(-4) Plug in the values of y and c.
-2+(-16) Simplify.
-2-16
-18
Hope this helps you out!! Have an amazing day <3
Write the inequality represented by the graph below.
Answers
Answer:
y > -x + 3
Step-by-step explanation:
find the slope and y-intercept so you can create a linear equation:
y = mx + b ; m = slope and b = y-intercept
slope (m) = (3-0) / (0-3)
m = 3/-3 or -1
we can see the y-intercept by looking at the graph, it is 3
y > -x + 3
Need help quickly please
Answers
Step-by-step explanation:
just want your ponit hahahaHA