Х
у
-2
3
2
-9
6
-21
10
-33

Answer:

Step-by-step explanation:

(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)

                   =x * x + 6 *x + x*(-5) + 6*(-5)

                    = x² + 6x - 5x - 30    {Combine like terms}

                    = x²  + x - 30

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]

A

8) y = (x + 3/2)² + 3/4

[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

Answer:

$3686 remaining after tax

Step-by-step explanation:

Work Shown:

[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

Answer:

60

Step-by-step explanation:

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

Answer:

Exact Form: x = 10/7

                                 ______

Decimal Form: x = 1.428571

Mixed Number Form: x = 1 3/7

Hope this helps, have a nice day/night! :D

If this helped please mark this as brainliest!

Answer:

In the picture

Step-by-step explanation:

Good luck!

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

Your answer isnt wrong, I dont know why your teacher is saying it is.

Answer:

  z = 3√13

Step-by-step explanation:

The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...

  z = √(9(13))

  z = 3√13

__

Additional comment

In like fashion, ...

__

These relations come about because all of these right triangles are similar. That means their side lengths are proportional.

  long side/hypotenuse = z/13 = 9/z   ⇒   z = √(9·13)

  short side/hypotenuse = x/13 = 4/x   ⇒   x = √(4·13)

  short side/long side = 4/y = y/9   ⇒   y = √(4·9)

19/50

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Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

~ Appreciation is when money increases

~Deperciation is when money decreases

- BRAINLIEST answerer

Answer:

Step-by-step explanation:

If two sides of a triangle are congruent, then angles opposite those sides are congruent.

the sum of the interior angles in a triangle is 180°

(180 - 40) : 2 =

70

x = 70°

----------------------------

check

70 + 70 + 40 = 180°

the answer is good

Answer:

v is -8

Step-by-step explanation:

The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope, so let's write:

  y = -(2/9)x + b

We can find b by using the one fully given point, (-4, -6).

y = -(2/9)x + b

-6 = -(2/9)(-4) + b

b = -6 - (8/9)

b = -(62/9)

Now we have   y = -(2/9)x - (62/9)

We want the value of y when x is 5 to find v in (5,v):

y = -(2/9)x - (62/9)

y = -(2/9)(5) - (62/9)

y = -(10/9) - (62/9)

y = -(72/9)

y = -8

v is -8

Answer:

23, - 46, 57, 10, 12

Step-by-step explanation:

(a)

2x + 5 = 2(9) + 5 = 18 + 5 = 23

(b)

4x - 2 = 4(- 11) - 2 = - 44 - 2 = - 46

(c)

x² + 21 = (- 6)² + 21 = 36 + 21 = 57

(d)

[tex]\sqrt{x}[/tex] - 1 = [tex]\sqrt{121}[/tex] - 1 = 11 - 1 = 10

(e)

[tex]\frac{x}{8}[/tex] + [tex]\sqrt[3]{x}[/tex] = [tex]\frac{64}{8}[/tex] + [tex]\sqrt[3]{64}[/tex] = 8 + 4 = 12

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

Answer:

no solutions

Step-by-step explanation:

4x+5y=8

-4x+5y=6

0=2

no solutions

Gustavo used 8 round tables and 6 rectangular tables.

Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:

Therefore, Gustavo used 8 round tables and 6 rectangular tables.

Learn more in https://brainly.com/question/25443927

Answer:

15

Step-by-step explanation:

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Answer:

f ≤ 1

Step-by-step explanation:

1) Subtract 2 from both sides.

1 - 2 ≤ - f

2) Simplify 1 - 2 to - 1.

- 1 ≤ - f

3) Multiply both sides by - 1.

1 ≥ f

4) Switch Sides.

f ≤ 1

[tex]\\ \sf\longmapsto 1\leqslant 2-f[/tex]

[tex]\\ \sf\longmapsto 1-2\leqslant -f[/tex]

[tex]\\ \sf\longmapsto -1\leqslant -f[/tex]

Multiply -1 on both sides

[tex]\\ \sf\longmapsto f\leqslant 1[/tex]

Answer:

the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

Answer:

its A

Step-by-step explanation:

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x