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Alekssandra [29.7K]
3 years ago
11

Write each relation in standard form and then find the y-intercept for each relation:

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

In standard form, the relation is y = 5x^2 + 100x + 507

The y-intercept is y = 507.

Step-by-step explanation:

Quadratic equation:

In standard form, it is written as:

y = ax^2 + bx + c

The y-intercept is c.

a) y = 5(x+10)^2 +7

We open the binomial to write in standard form. So

y = 5(x + 10)^2 + 7

y = 5(x^2 + 20x + 100) + 7

y = 5x^2 + 100x + 500 + 7

y = 5x^2 + 100x + 507

In standard form, the relation is y = 5x^2 + 100x + 507

The independent term, c, is 507, so the y-intercept is y = 507.

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What’s 21.84 divided by 8
Lady_Fox [76]

Answer:

2.73

Step-by-step explanation:

You could use a calculator if your teacher/instructor lets you! :)

OR you could do long division.

7 0
3 years ago
Read 2 more answers
The .............. from the regular selling price to the discounted sale price is 20%
11Alexandr11 [23.1K]

Answer:

80%

Step-by-step explanation:

regular price is 100%

so, after the discounted price is 20%

the discount is 80%

4 0
3 years ago
Which statement accurately describes how to reflect point A(3,-1) over the y-axis?
Lyrx [107]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rule of the reflection of a point over the y-axis is equal to

A(x,y) ----->A'(-x,y)

That means -----> The x-coordinate of the image is equal to the x-coordinate of the pre-image multiplied by -1 and the y-coordinate of both points (pre-image and image) is the same

so

A(3,-1) ------> A'(-3,-1)

The distance from A to the y-axis is equal to the distance from A' to the y-axis (is equidistant)

therefore

To reflect a point over the y-axis

Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis

6 0
2 years ago
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
A recreation center charges nonmembers $3 to use the pool and $5 to use the basketball courts. A person pays $42 to use the recr
Andrei [34K]
Let x = times in the pool
Let y = times in the basketball courts

42=3x+5y
x+y=12
Therefore y = 12-x
Subsitute for y
42 = 3x + 5(12-x)
42 = 3x + 60 -5x
Subtract 60
-18 = -2x
9 = x

The person used the pool 9 times.

5 0
2 years ago
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