Please help me. 15 points

The equation of the parabola will be y = 1/8(x-  3)² - 4. Then the correct option is B.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Identify the vertex, focus, and directrix of the graph.

Then the equations representing the parabola in the graph will be

y = a(x - h)² + k

Then the vertex is at (3, -4). Then we have

y = a(x - 3)² - 4

For x = 0, the value of y will be -2.875.

-2.875 = a(0 - 3)² - 4

        a = 1/8

Then the equation of the parabola will be

y = 1/8(x-  3)² - 4

Thus, the correct option is B.

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Answer:

3

Step-by-step explanation:

Using Pythagoras formula

h^2 = (root under) p^2 +b^2

or, h^2= 20^2 + 21^2

or, h^2= 400+441

or, h^2= 841

or, h= (root under) 841

Therefore h= 29

Now,

Perimeter of a triangle= a+b+c

= 20+21+29

=70

Answer:

[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]

Step-by-step explanation:

We are given and asked to solve the equation:

[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]

We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):

[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]

Simplify:

[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]

Expand and isolate:

[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]

Hence solve for x:

[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]

In conclusion, the solutions of the equation are x = 0 and x = 1.

Answer:

6

Step-by-step explanation:

Answer:

$27.85

Step-by-step explanation:

I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,

20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.

Answer:

0.12

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon

15.36 / 128 = 0.12

Answer:

the equation will be in the form of:

y = -x + b

To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.

Therefore, substitute (5,1) in the above equation:

1 = -5 + b

b = 6

So the question of the line will be:

y = -x + 6

Answer:

=7*a-2

=7a-2

Step-by-step explanation:

_a-_

ATQ,

7 times means 7*

as per the question,

Nine times (7*) a number (a) minus two (-2)

Hope this helps you!! (ㆁωㆁ)

Answer:

37°

Step-by-step explanation:

sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°

Answer:

ED = 6.5 cm

BE = 14.4 cm

Step-by-step explanation

AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB

so

ED = 5×26/20 = 130/20 = 6.5 cm

and

AB/AC = BE/CD => BE = AB×CD/AC

so

BE = 20×18/25 = 360/25 = 14.4 cm

Answer:

7.93

Step-by-step explanation:

Answer:

  $2.34

Step-by-step explanation:

The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.

__

The distributive property can be used to simplify the problem.

  total cost = cost of apples + cost of pears

  share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))

  share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)

  share cost = $2.34

Each of them should pay $2.34 for the apples and pears.

Step-by-step explanation:

4x-4x=-32-4

X=28

Is the answer

Answer:

No solution

Step-by-step explanation:

As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.

The product will be a real number when x = 4 and y = -5.

We have the product of complex numbers:

[tex](4 + 5i)*(x + yi)[/tex]

We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:

[tex](x + yi) = (4 - 5i)[/tex]

Now, if we take the product, we get:

[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]

So we can see that the outcome is a real number.

Then we must have x = 4 and y = -5.

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Answer: C

Step-by-step explanation:

let's recall that a circle has a total of 360°.  Check the picture below.

The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

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Answer:

The scientific notation for this will be

[tex]7.832 \times {10}^{ - 3} [/tex]

As there are three zero in expression

Answer:

where are the limit questions?

Answer:

Rectangle

Trapezoid

Square

Triangle.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a , then a shift to the left of a units

• if - a then a shift to the right of a units

h(x) = g(x - 3)

then h is the graph of g shifted right 3 units

The answer is B i hopes this helps

To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   [tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

He makes a profit in total of $8381

The store makes a profit of $29 per sweater.

Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.

Given:

Number of sweaters bought = 17

Cost of buying 17 sweaters = $68

Selling price of 17 sweaters = $561

Profit per sweater = Selling price per sweater - Cost price per sweater

First, calculate the cost price per sweater:

Cost price per sweater = Total cost / Number of sweaters

Cost price per sweater = $68 / 17

Cost price per sweater = $4.

Now, calculate the profit per sweater:

Profit per sweater = Selling price per sweater - Cost price per sweater

Profit per sweater = $561 / 17 - $4

Profit per sweater = $33 - $4

Profit per sweater = $29.

The store makes a profit of $29 per sweater.

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Answer:

480 in

Step-by-step explanation:

Rectangular Prism Formula :

V=whl

Which,

W = Width

H = Height

L = Length

Solve:

Given that:

Length = 8 in

Width = 10 in

Height = 6 in

Since the formula is:

V = whl

Then,

V = 8 × 10 × 6

V = 80 × 6

V = 480 in

Kavinsky

Answer:

Step-by-step explanation:

hope this helps you