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scoray [572]
2 years ago
11

Write an equation for the following situation

Mathematics
2 answers:
AlladinOne [14]2 years ago
4 0

Answer:

y(x) = 4 salads + (3 salads/hour)x

Step-by-step explanation:

We start with the initial value of this function, y(0), which is 4 salads.  To this quantity we add 3 salads per hour of work, using x to represent the number of hours.  In summary, we have:

y(x) = 4 salads + (3 salads/hour)x

Example:  after 2 hours the number of salads made is 4 salads plus (3 salads/hour)(2 hours). or y(2) = 4 salads + 6 salads = 10 salads.

kondaur [170]2 years ago
3 0
Y=3x+4

(y) equals the total salads made. In order to figure this out, you would have to add the 4 salads already made plus the 3 salads being made each hour for however many hours they are making them. Since we don’t know how many hours they are making them, we use (x).
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In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers.
kompoz [17]
I'll do the math for this, it may take me a few minutes so i will update this comment with an answer in just a minute. I always get anxious when nobody replies kind of quickly as i feel it is being forgotten. So just a heads up i'm working on a answer!
4 0
3 years ago
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
snow_tiger [21]
We know that this is a parabola, as the equation is denoted by the x^2 term.

We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.

The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).

We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.

To sum it up, the answers are:

-2x^2 + 2x - 1.

AoS: x = -0.5

Vertex: (-0.5, -0.5).
7 0
2 years ago
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh
amm1812

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

8 0
3 years ago
Heather wants to buy new carpet for her living room floor. The floor is in the shape of a rectangle. Its length is 19 feet and i
SCORPION-xisa [38]

Answer:

$2431

Step-by-step explanation:

wish u was Heather lol

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6 0
2 years ago
Find the product of all real values of r for which 1/2x=r-x/7
Dahasolnce [82]

Answer:

r = \±\sqrt{14

Product = -14

Step-by-step explanation:

Given

\frac{1}{2x} = \frac{r - x}{7}

Required

Find all product of real values that satisfy the equation

\frac{1}{2x} = \frac{r - x}{7}

Cross multiply:

2x(r - x) = 7 * 1

2xr - 2x^2 = 7

Subtract 7 from both sides

2xr - 2x^2 -7= 7 -7

2xr - 2x^2 -7= 0

Reorder

- 2x^2+ 2xr  -7= 0

Multiply through by -1

2x^2 - 2xr +7= 0

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

b^2 - 4ac = 0

For a quadratic equation

ax^2 + bx + c = 0

By comparison with 2x^2 - 2xr +7= 0

a = 2

b = -2r

c =7

Substitute these values in b^2 - 4ac = 0

(-2r)^2 - 4 * 2 * 7 = 0

4r^2 - 56 = 0

Add 56 to both sides

4r^2 - 56 + 56= 0 + 56

4r^2 = 56

Divide through by 4

r^2 = 14

Take square roots

\sqrt{r^2} = \±\sqrt{14

r = \±\sqrt{14

Hence, the possible values of r are:

\sqrt{14 or -\sqrt{14

and the product is:

Product = \sqrt{14} * -\sqrt{14}

Product = -14

8 0
3 years ago
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