2a^2 +7ab-15b^2
please solve the answer fast​

Answer:

y = 1

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is

y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

Answer:

A

Step-by-step explanation:

Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.

Answer:

the answer is option a because all the expression in option a is written descending power form.

Sososos

Step-by-step explanation:

Answer:

[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

[tex]f\circ g[/tex] does not exist.  

Step-by-step explanation:

It is given that,

[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]

[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]

We need to find the composition gof.

[tex](g\circ f)(x)=g(f(x))[/tex]

Now,

[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]

[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]

[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]

So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

We need to check whether [tex]f\circ g[/tex] exist of not.

If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.  

Now,

Range of g(x) = {3,6,8}

Domain of f(x) = {1,3,5}

Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.  

Answer:

1/25

Step-by-step explanation:

The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

          = (2! / 1!) / (20! / 19! 1!)

          = 2 / 20

          = 1/10

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

          = (8! / 1! 7!) / (20! / 191 1!)

          = 8 / 20

          = 2 / 5

Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( B ) X P ( Y )

  = 1/ 10 X 2 / 5

  = 1 / 25

Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

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Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

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Answer:

11 feet by 39 feet.

Step-by-step explanation:

In this case, the perimeter, P, is 100 ft.

If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.

So, we have an equation: P = 2 * L + 2 * W.

100 = 2 * (6 + 3W) + 2 * W

100 = 12 + 6W + 2W

100 = 12 + 8W

8W + 12 = 100

8W = 88

W = 11

And so, we know that the width is 11 feet.

To solve for the length...

L = 6 + 3W

L = 6 + 3 * 11

L = 6 + 33

L = 39

So, the length is 39 feet.

Now, you have the dimensions of the shed: 11 feet by 39 feet.

Hope this helps!

Answer:

2 cm

10 cm

Step-by-step explanation:

14/7 = 2

This helps to find because area of rectangle = bh or base times height.

A = 1/2 bh

30 = 1/2 b 6

30 = 3b

b = 10

Answer:

b = 2 cm

b = 10 cm

Step-by-step explanation:

Area of a Rectangle: A = lw

Area of a Triangle: A = 1/2bh

We are given area and length, so simply plug it in:

14 = 7w

w = 2 cm

We are given area and height, so simply plug it in:

30 = 1/2(6)(b)

30 = 3b

b = 10 cm

Answer:

B

Step-by-step explanation:

The postulate that can be used to link both triangles is AAS which means Angle Angle side

From the diagram, we can see that we have 2 equal angles and one side in between the two triangles

This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles

Answer:

One reusable bottle cost $8.12

Step-by-step explanation:

Let

x=total cost of the two reusable bottles

Ms stone has 5/8 if the total cost of the two reusable bottles

5/8 of x=$10.15

5/8*x=10.15

x=10.15÷5/8

=10.15×8/5

=81.2/5

=16.24

x=$16.24

The total cost of of the two reusable bottles=$16.24

If total cost of two reusable bottles=$16.24

Cost of one reusable bottle=$16.24/2

=$8.12

One reusable bottle cost $8.12

Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877

Answer:

Step-by-step explanation:

0.026803

Answer:

A,C,and D are parralelograms

The parallelogram are shapes with figures having opposite sides which are parallel

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , from the figure 1

a)

The figure is having opposite sides are parallel

where AB = CD

And , BC = AD

So , it is a parallelogram

b)

The figure does not have any sides parallel

So , it is not a parallelogram

c)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

d)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

Hence , the parallelogram is solved

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Answer:

-1

Step-by-step explanation:

each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)

Answer:

The exterior angle is angle 4. The remote interior angles are 1 and 2.

Step-by-step explanation:

An exterior angle is an angle that is between a side of the shape and a line extended from the side next to it.

Remote interior angles in a triangle are the two angles that are not a linear pair with the exterior angle. (A linear pair is a pair of angles that add up to 180 degrees and form a line.) Essentially, the they are the two angles not next to the exterior angle. As a side note, if you add up the measures of the remote interior angles, the sum will be equal to the measure of the exterior angle.

If any of this is confusing, feel free to ask for clarification. I hope this helps! ☺

Answer:

0.0236 m per minute,

Step-by-step explanation:

Volume of the cone V = 1/3 π r^2 h.

Diameter = 2r = 2h so r = h

and V = 1/3 π h^3

So  the rate of change of volume with height =

dV / dh =  π h^2.

We are given that dV/dt = 6.

So the rate of change of height: dh/dt = dV/dt * dh/dV

= 6 * 1/ π h^2

When  h = 9

dh/dt = 6 / 81π m per minute

= 0.0236 m per minute,

Answer:

si

Step-by-step explanation:

Answer:

y = -2/3x + 4

Step-by-step explanation:

Use formula for slope given two points.

m = (y2 - y1)/(x2 - x1)

The two points are (0, 4) and (6, 0)

m = (0 - 4)/(6 - 0)

m = -4/6

m = -2/3

y = -2/3x + b

The y-intercept b is 4.

Answer:

see below

Step-by-step explanation:

Multiplication and division are also inverse operations

15 * 10 = 150

150 ÷10 = 15

Divide 150 by 10 and we get 15 back

The division undoes the multiplication

This also works in reverse

150 ÷ 10 = 15

15*10 =150

The multiplication undoes the division

Answer:

16.59

Step-by-step explanation:

Given:

[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]

Expanding the left hand side, we have:

[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]

Therefore:

[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]

To find the minimum value, we take the derivative and solve for its critical point.

[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]

Recall that:

[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]

The minimum possible value of the coefficient of x is 16.59.

Answer:

173

Step-by-step explanation:

For sympliciy let the box equal y.

Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that  (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].

Answer: CPCTC

Step-by-step explanation:

because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.

By CPCT [Corresponding Part of congruent Triangle]

<h=<j

hope i helped

-lvr

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

The polynomial "4ab+9a" is a quadratic binomial

Step-by-step explanation:

It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

Matt probably would have got about a 5% return on a good stock.

The rate of return is just the total return divided by investment.

Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.

Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.

In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

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Answer:

Step-by-step explanation:-

-

-8239910.76

Answer:

If it is on the maximum, then the y-value of the point cannot be any higher and  still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.

Answer:

Maximum =  756

Minimum =  600

Step-by-step explanation:

A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.

And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:

(1 + 3 + 5 + 8 + 10) ×  (2 + 4 + 6 + 7 + 9) = 756

At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:

(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600

Answer: Brent repay $4152.61 to his brother.

Step-by-step explanation:

Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= principal amount

r= rate of interest (in decimal)

t= time

As per given, we have

P= $4000

t= 3 years

r= 1.25% = 0.0125  [we divide a percentage by 100  to write in simple form]

Now, substitute these values in the formula

[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]

Hence, Brent repay $4152.61 to his brother.