Multiply (2 − 7i)(9 + 5i). (6 points)

53 − 53i
−17 − 53i
18 − 35i2
18 − 53i − 35i2

9514 1404 393

Answer:

  (a)  -10d^4 +17d^2s -6s^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses, then collect terms.

  [tex](-2d^2+s)(5d^2-6s)=-2d^2(5d^2-6s)+s(5d^2-6s)\\\\=(-2d^2)(5d^2) +(-2d^2)(-6s)+s(5d^2)+s(-6s)\\\\=-10d^4+12d^2s+5d^2s-6s^2\\\\=\boxed{-10d^4+17d^2s-6s^2}[/tex]

Answer:

[tex]thank \: you[/tex]

The number of candies left in the bag is given by the equation n = 40 candies

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as n

Now , the value of A is

The number of candies which were eaten = 80 candies

The fraction of candies that were eaten = 2/3

So , ( 2/3 ) of the total = 80

( 2/3 )A = 80

Multiply by 3 on both sides , we get

2A = 240

Divide by 2 on both sides , we get

A = 120 candies

Now , the number of candies that were left n = total number of candies - number of candies that were eaten

On simplifying the equation , we get

The number of candies that were left n = 120 - 80

The number of candies that were left n = 40 candies

Hence , the number of candies that are left is 40 candies

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Answer:

it is correct

Step-by-step explanation:

2000 N

The resistance force acting is 1N per ton.

Tension in the coupling between engine and the wagon is 2000N.

Answer:

46 will be converted to .44m

x will be the mass of the 44 cm engine

x/72  =  .44^3/11^3

x/72 = 0.085/1331

cross multiply

1331x = 72 x 0.085

1331x = 6.12

x= 6.12/1331

=0.004598

x = 0.004598  tonnes

change to kilograms

0.004598*1000 = 4.6 kg

Answer:

1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1  2/18

Step-by-step explanation:

1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1  2/18

1/2 = 3/6

5/6 + 3/6 = 8/6

8/6 x 3 = 24/18

2/9 x 2 = 4/18

24/ 18 - 4/18 = 20/18 or 1 and 2/18

Answer:

x = -2, y = 2

Step-by-step explanation:

-7x + 7y = 28

7y = 28 + 7x

y = 4 + x ----(1)

-8x+4y=24 -----(2)

sub (1) into (2)

-8x+4(4+x)=24

-8x+16+4x = 24

-8x+4x = 24-16

-4x = 8

x = -2

sub x = -2 into (1)

y=4+(-2) = 2

Answer:

1) 2x - y + 6 = 0

2) x - y + 4 = 0

Step-by-step explanation:

1) -8x + 4y = 24

= -8x + 4y - 24 = 24 - 24

= -8x + 4y - 24 = 0

= (-8x + 4y - 24) ÷ 4 = 0 ÷ 4

= -8x ÷ 4 + 4y ÷ 4 - 24 ÷ 4 = 0

= -2x + 4y ÷ 4 - 24 ÷ 4 = 0

= -2x + y - 24 ÷ 4 = 0

= -2x + y - 6 = 0

= 2x - y + 6 = 0

2) -7x + 7y = 28

= -7x + 7y - 28 = 28 - 28

= -7x + 7y - 28 = 0

= (-7x + 7y - 28) ÷ 7 = 0 ÷ 7

= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0 ÷ 7

= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0

= -x + 7y ÷ 7 - 28 ÷ 7 = 0

= -x + y - 28 ÷ 7 = 0

= -x + y - 4 = 0

= x - y + 4 = 0

Answer:

Step-by-step explanation:

(4c1×6c4)+(4c2×6c3)+(4c3×6c2)+(4c4×6c1)

(4×15) +(6×20) +(4×15) +(1×6)

60+120+60+6

246 ways

Answer:

is this right question ❓

Answer:

1/2 x > 20

Step-by-step explanation:

Let x be the unknown number

1/2 x > 20

Answer:

128 servings

Step-by-step explanation:

Answer:

dccxxydffffyyyrtttttttyhg

(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.

9514 1404 393

Answer:

  C(x) = x/11 + 34 6/11

Step-by-step explanation:

The two given points are (x, C) = (60, 40) and (170, 50). These can be used in the 2-point form of the equation for a line to find the cost function.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (50 -40)/(170 -60)(x -60) +40

  y = (1/11)(x -60) +40

  C(x) = 1/11x +34 6/11 . . . . . . cost as a function of copies made

Answer

4

Step by step explanation

2/3=x/10-x

cross multiply

2(10-x)=3x

20-2x=3x

20=3x+2x

20=5x

x=4

Answer:3

Step-by-step explanation:

-3x+2=-7

subtract 2 from both sides

-3x+2-2-(-7-2

simplify the arithmetic

-3x=-7-2

simplify the arithmetic aging

-3x=-9

=3

Answer:

9-2b

Step-by-step explanation:

Set up equation:

[tex]9 - 8b + 6b[/tex]

Add like terms

[tex]9 - 2b[/tex]

Answer:

-7v+21y+42

Step-by-step explanation:

Step-by-step explanation:

Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]

The slope of the line through these two points is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]

So the slope-intercept form of the line passing through the two points is

[tex]y = mx + b = \frac{1}{3}x + b[/tex]

To find b, we use either point into our equation. Let's use (-1, -8):

[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]

Therefore, the slope-intercept form of the equation for the line is

[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]

The standard form of the equation can be written as

[tex]x + 3y + 23 = 0[/tex]

Answer:

-36

Step-by-step explanation:

-7+1[3-32]

= -7-29

= -36

Answer:

100,000 x $15 = 1.5 million US$

Answer:

Rational

Step-by-step explanation:

An irrational number is a number that goes on forever, such as pi. These numbers have infinite decimals.

In contrast, a rational number is a number that can be created by dividing two other integers.

These numbers do not go on forever.

10 is a rational number because it can be created by dividing 2 other integers, and it does not go on forever.

Answer: -5^3

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

a,b,c is constant

Step-by-step explanation:

Look at the table in picture above the result of table is true for all values so it is called tautology.

And there is a mistake in row 1.

Note:if you need to ask any question please let me know.

Answer:

[tex]a=-4[/tex]

Step-by-step explanation:

Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have

[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]

Taking the reciprocal gives

[tex]-\frac a8=\frac12[/tex]

Then multiplying by [tex]-8[/tex] gives

[tex]a=\frac12(-8)=-4[/tex]

Answer:

[tex] (5 {ab}^{2} ) {}^{2} \\ = ( {5}^{2} )( {a}^{2} )( {b}^{2} ) {}^{2} \\ { \boxed{= 25 {a}^{2} {b}^{4} }}[/tex]

Answer:

62.41

Step-by-step explanation:

19 7/8= 19.875

C= pie x d

C= 3.14 x 19.875

C= 62.4075

C= 62.41 (if you want 2 decimal places)