What is 42,429 rounded to the nearest hundred

Javier's bank balance after 3 months would be $182.50

Using the parameters given for our Calculation;

The bank charge for the three month period ;

Balance after charges ;

Now we have ;

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y = x² + 6x + 5

Use the formula: -b/2a

a = 1

b = 6

- 6 / 2

= -3

The x-coordinate of the vertex is -3

Plug the x value back into the original equation to find the y-coordinate of the vertex

y = (-3)² + 6(-3) + 5

y = -4

Answer: D

s > 0, V(s) > 0

Step-by-step explanation: edge

Answer is BF...hope this helps

An asymptote is a vertical horizontal or oblique line to which the graph of a function progressively approaches without ever touching it.

To answer this question we observe the graph. All the values of x and y must be identified for which the graph of the function tends to infinity.

It is observed that these values are:

x = -1

x = 3

y = 0

The first two corresponds to the equations of a vertical line. The third corresponds to horizontal line, the axis of x. It can be seen that although the graph of the function is very close to these values, it never "touches" them

The asymptotes to the considered function are given as:

Suppose that we have the function f(x) such that it is continuous for all input values < a or > a and have got the values of f(x) going  to infinity or -ve infinity (from either side of [tex]x = a[/tex]) as x goes near a , and being not defined at [tex]x = a[/tex], then at that point, there can be constructed a vertical line [tex]x = a[/tex] and it will be called as vertical asymptote for f(x) at [tex]x = a[/tex]

The line [tex]y = a[/tex] is horizontal asymptote if the function f(x) tends to 'a' from upside of that line y = a, or from downside of that line.

For the given case, the line y = 0 is one of its horizontal asymptote.

If we make two straight lines at x = -1, and x = 3, we get two lines to which the graph of the function is going arbitrarily close, and going to +ve or -ve infinity.

Thus, they are its vertical asymptotes.

Therefore, the asymptotes to the considered function are given as:

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Answer:

Average change in temperature is - 2.8 Fahrenheit per hour.

Step-by-step explanation:

Average change in temperature is the change in temperature divided by the time taken for the change.

Change in temperature = (-11.2) F- 0 F

                                       = -11.2 F

Time taken for the change in temperature = 10 pm - 6 pm

                                                                       = 4 hours

Average change in temperature = Change in temperature / time taken for the change

                                                      = [tex]\frac{-11.2}{4}[/tex]

                                                      = - 2.8 Fahrenheit per hour

Final answer:

The average change in temperature per hour from 6 pm to 10 pm is calculated by dividing the total change in temperature by the number of hours. The result is a drop of -2.8°F per hour.

Explanation:

To find the average change in temperature per hour between 6 pm and 10 pm, you can use the following expression:

(Final Temperature - Initial Temperature) / Number of Hours = Average Change per Hour

Applying the given temperatures:

(-11.2°F - 0°F) / (10 pm - 6 pm) = Average Change per Hour

Since 10 pm is 4 hours after 6 pm, the expression simplifies to:

(-11.2°F - 0°F) / 4 hours = Average Change per Hour

Which evaluates to:

(-11.2°F / 4) = -2.8°F per hour

So the temperature dropped on average by -2.8°F each hour between 6 pm and 10 pm.

Answer:

(1,2) (-1,-2)

Step-by-step explanation:

Given the equation of curve as y= 2x³ and slope of tangent line as 6 then

Find dy/dx

[tex]\frac{d}{dx} (y)=\frac{d}{dx}(2x^3)[/tex]

Apply the power rule

[tex]\frac{d}{dx} (x^n)=nx^{n-1}[/tex]

where n=constant

Hence, our equation will be;

[tex]\frac{dy}{dx} =2*3x^{3-1} \\\\\\\frac{dy}{dx} =6x^{2}[/tex]

But you know that dy/dx=slope=6

6x²=6--------------------divide both sides by 6

6x²/6=6/6

x²=1

x=√1=±1

x=1 and -1

Remember y=2x³

Substitute value of x to get value of y

y=2x³

y=2×1³

y=2×1=2

y=2

For x=-1, find y coordinate

y=2×-1³=2×-1=-2

coordinate will be (-1,-2)

Coordinates of the points will be (1,2) ,(-1,-2)

ANSWER

[tex]2y-x-20=0[/tex]

or

[tex]y=\frac{1}{2}x+10[/tex]

EXPLANATION

Let the rectangle be oriented as shown in the diagram.

The line segment AD passes through [tex]A(2,11)[/tex].

All we need now is the slope of AD then we can find its equation.

Since AD is perpendicular t AB, we determine the slope of AB and then use it to find the slope of AD.

[tex]Slope_{AB}=\frac{1-11}{7-2}[/tex]

[tex]Slope_{AB}=\frac{-10}{5}=-2[/tex]

The slope of AD is the negative reciprocal of the slope of AB because they are perpendicular.

[tex]Slope_{AD}=\frac{-1}{-2}=\frac{1}{2}[/tex]

The equation of AD is given by;

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-11=\fra[1}{2}(x-2)[/tex]

Multiplying through by 2 gives,

[tex]2y-22=(x-2)[/tex]

[tex]2y-x-22+2=0[/tex]

[tex]2y-x-20=0[/tex]

or

[tex]y=\frac{1}{2}x+10[/tex]

ANSWER

The factorization of   [tex]100x^2-20x+1[/tex]

 is [tex](10x-1)^2[/tex].

EXPLANATION

We want to factor [tex]100x^2-20x+1[/tex]

Comparing this to [tex]ax^2+bx+c[/tex]

[tex]a=100,b=-20,c=1[/tex]

[tex]ac=100[/tex]

We look for factors of 100  that add up to [tex]-20[/tex].

These factors are [tex]-10,-10[/tex]

We now split the middle term to obtain;

[tex]100x^2-10x-10x+1[/tex]

We factor to obtain;

[tex]10x(10x-1)-1(10x-1)[/tex]

This simplifies to  [tex](10x-1)(10x-1)=(10x-1)^2[/tex]

Answer:B

Step-by-step explanation:

Answer:

Real numbers

0≤ t ≤17

Step-by-step explanation:

Khan academy said

The domain of d in the given problem is time (T) in minutes since Tanya left home and is the set of all real numbers greater than or equal to 17.

The domain of d in the given problem is time (T) in minutes since Tanya left home.

Since Tanya walked for 17 minutes, the domain of d is the set of all real numbers greater than or equal to 17.

Solving the system, we find [tex]\(x = 2.5\) and \(y = -1\)[/tex]. The product of [tex]\(x\) and \(y\) is \(-2.5\)[/tex]. Answer: C) [tex]\(-\frac{2}{5}\).[/tex]

To find the product of [tex]\(x\) and \(y\)[/tex], we need to solve the given system of equations:

2x - 5y = 10

4x + 3y = 7

Let's solve this system using the substitution method:

From the first equation, we can express [tex]\(x\) in terms of \(y\)[/tex]:

[tex]\[2x = 10 + 5y\][/tex]

[tex]\[x = \frac{10 + 5y}{2}\][/tex]

[tex]\[x = 5 + \frac{5}{2}y\][/tex]

Now, substitute this expression for [tex]\(x\)[/tex] into the second equation:

[tex]\[4(5 + \frac{5}{2}y) + 3y = 7\][/tex]

[tex]\[20 + 10y + 3y = 7\][/tex]

[tex]\[13y = -13\][/tex]

[tex]\[y = -1\][/tex]

Now, substitute [tex]\(y = -1\)[/tex] into the expression for \(x\):

[tex]\[x = 5 + \frac{5}{2}(-1)\][/tex]

[tex]\[x = 5 - \frac{5}{2}\][/tex]

[tex]\[x = 5 - 2.5\][/tex]

[tex]\[x = 2.5\][/tex]

Finally, find the product [tex]\(xy\):[/tex]

[tex]\[xy = 2.5 \times (-1)\][/tex]

[tex]\[xy = -2.5\][/tex]

So, the product of [tex]\(x\) and \(y\) is \(-2.5\)[/tex], which corresponds to option C) [tex]\(-\frac{2}{5}\).[/tex]

divide 3,326 by 3 and if she gets 842 it should be reasonable

Answer:

No her answer is not reasonable.  If you round 842 to 850 and multiplied that by 3 you would get 2,550.  

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

a pex

The solution is in the attached picture.

The perimeter of a shape is the sum of all visible side lengths of the shape. The perimeter of polygon qrst is 16 units.

Given that:

[tex]q = (-3,2)[/tex]

[tex]r = (1,2)[/tex]

[tex]s = (1,-2)[/tex]

[tex]t = (-3,-2)[/tex]

First, we calculate the distance between the vertices using distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]qr = \sqrt{(-3- 1)^2 + (2 - 2)^2} = \sqrt{16} = 4[/tex]

[tex]rs = \sqrt{(1- 1)^2 + (2 - -2)^2} = \sqrt{16} = 4[/tex]

[tex]st = \sqrt{(1--3)^2 + (-2 - -2)^2} = \sqrt{16} = 4[/tex]

[tex]tq = \sqrt{(-3--3)^2 + (-2 -2)^2} = \sqrt{16} = 4[/tex]

The perimeter (P) is the sum of all sides:

[tex]P = qr + rs + st + tq[/tex]

[tex]P = 4 + 4 + 4 + 4[/tex]

[tex]P = 16[/tex]

Hence, the perimeter is 16 units.

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Answer:

use the butterfly method

Step-by-step explanation:

I think you can google that really easily.

Answer:

13  all three angles =60 in total they equal 180

14) I believe x = 32.5 Am not sure though.

Step-by-step explanation:

That is the only question i can answer but to help you with this all triangles big or small the total of all the angles combined = 180

1. The Great Wall of China is 13,170.696

2.how many feet are in a mile= 5,280= 1 mile  

3. 19,536,000=3700 miles

Answer:

1800 ÷ 6

Step-by-step explanation:

18,000 ÷ 60 is the same as;

18,000 ÷ 10 ÷ 6 and is the same as;

1,800 ÷ 6

First you must know that is i∧2= -1

x∧3-4x∧2+4x-16 = x∧2 (x-4) + 4 (x-4) = (x-4) (x∧2+4) = (x-4) (x∧2-(-4)) =

= (x-4) (x∧2-(-1) *4) = (x-4) (x∧2- i∧2*2∧2) = (x-4) (x∧2-(2i)∧2) = (x-4) (x-2i) (x+2i)

Good luck!!!

$50

the sale price is [tex]\frac{5}{12}[/tex] × $120

[tex]\frac{5(120)}{12}[/tex] = $50

Answer:50

Step-by-step explanation:

you would do number of devisions (denominator of fraction) divided by the number of the original price then multiply it by the numer of the devision (numerator of fraction)

120/12=10*5=50

Number of units purchased = 117

Amount paid to purchase 117 units = $ 1250

Selling price of 117 units = $ 1601

Here, let us assume that all the units were sold at the same price.

So, profit on 117 units = [tex]1601-1250= 351[/tex]

Now, profit per unit will be,

[tex]\frac{351}{117} =3[/tex]

Hence, the profit earned per unit is $3.

[tex]\frac{-5 + 2x^{2}}{7 - 8x}[/tex]

The denominator cannot equal zero.

7 - 8x ≠ 0

7       ≠  8x

    [tex]\frac{7}{8} \neq \frac{8x}{8}[/tex]

[tex]\frac{7}{8} \neq x[/tex]

Answer: [tex]\frac{7}{8}[/tex] is not in the domain

For this one, plug in your x and y intercepts for the corresponding letters and see which one is true.  I always start with the first equation and then see which ones solve it first, that will cut your time down on a test.

Lets start with A. (4,5)

and the first equation y=x+1

5=4+1, which is true so A is a potential answer

B. (2,3)

3=2+1, B is a potential as well

C. (-2,1)

1=-2+1, which is false so C is out

D. (-4,-3)

-3=-4+1, which is true.

To cut down on time, do the same thing with the second equation and your final answer will be A. (4,5)