Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created

Answers

Answer 1

Answer: 5x+3 or (5,3) I think so

Answer 2

Answer: Distance from a point (x,y) on the graph of the function from the focus = distance from this point to the directrix. So we have

sqrt [( y-1^2 + (x - 2)^2] = y - (-3)

(y - 1)^2 + (x - 2)^2 = (y + 3)^2

y^2 - 2y + 1 + x^2 - 4x + 4 = y^2 + 6y + 9

8y = x^2 - 4x - 4

y = x^2/7 - x/2 - 1/2 Answer

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Complete each ordered pair so that it is a solution of the given linear equation. x minus 5 y equals negative 3; left parenthesis comma 1 right parenthesis comma left parenthesis 7 comma right parenthesis

Answers

Answer: The ordered pairs are (2,1) and (7,2).

Step-by-step explanation:

Since we have given that

$x-5y=-3$

if y=1

we get that

$x-5y=-3\n\nx-5(1)=-3\n\nx-5=-3\n\nx=-3+5\n\nx=2$

If x= 7, we get that

$x-5y=-3\n\n7-5y=-3\n\n-5y=-3-7\n\n-5y=-10\n\ny=(10)/(5)\n\ny=2$

So, the ordered pairs are (2,1) and (7,2).

John has a $1000 bond with a 3% coupon. How much interest will John receive for this bond every 6 months?

Answers

The interest of the bond for 6 months is $15. This is computed as 3% of 1000 is $30. Then since it is only for 6 months, $30 divided by 12 months and multiplied by 6, which is equal to $15

During harvesting season at Florida Blue Farms, hand pickerscollect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?

A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answers

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: $0.95(200h) + 0.90(22000m)$

Given that

$h \to$ days of hand pickers word

$m \to$ days harvester machine is used

$n_h = 200$ --- pounds of hand pickers

$n_m = 22000$ -- pounds of harvester

$r_h = 95\%$ -- pack out rate of hand pickers

$r_m = 90\%$ -- pack out rate of harvester

The expression to estimate the amount is calculated as:

$Amount = r_h * n_h + r_m * n_m$ --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

$Amount = 95\% * 200h + 90\% * 22000m$

Express as decimal

$Amount = 0.95 * 200h + 0.90 * 22000m$

Rewrite as:

$Amount = 0.95(200h) + 0.90(22000m)$

Hence, option (b) is correct.

Read more about algebraic expression at:

brainly.com/question/953809

Step-by-step explanation:

its b..........

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4square plus 2power of xdivide by 2 equal to 16 what is the answer of this question

Answers

Answer:

$x=4$

Step-by-step explanation:

We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: $16+2^(x) / 2 = 16$

Now we can solve for x:

1. $16 + 2^(x) = 32$

2. $2^(x)=16$

3. $x=4$

Help me please. I don't understand this section

Answers

What you do is that you use your algebraic magic to find your c value. First, you will divide both sides by 5. Now you have 2b= the square root of c +2. Now subtract 2 from both sides and you will have 2b-2= the square root of c. To undo the square root of c, you will need to square it, so square both sides and you have your answer. Good luck!

What is the sum of the quotients of 25x^2/5x and the quotient of 8x^2/x

Answers

If you would like to solve (25 * x^2) / (5 * x) + (8 * x^2) / x, you can calculate this using the following steps:

(25 * x^2) / (5 * x) + (8 * x^2) / x = 5 * x + 8 * x = 13 * x

The correct result would be 13 * x.

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which algebraic expression is a polynomial with a degree of 4? a: 5x4 b: x5 – 6x4 14x3 x2 c :9x4 – x3 – d:2x4 – 6x4

(2x^2-17x-38)/(2x+3)

Choose the fraction in simplest form that correctly expresses this ratio27 to 54