The population of a school is 800 students and is increasing at a rate of 2% per year. Use an
exponential function to find the population of the school after 9 years.

Answer:

Shirt = $7

Sweatshirt = $12

Step-by-step explanation:

Let T represent shirts and S to represent sweatshirts

you bought 3T + 4S = 69

your friend bought 6T + 2S = 66 multiply second equation by -2

-2 x 6T + 2S = 66

-12T - 4S = -132 now find the sum of this and first equation

3T + 4S -12T - 4S = 69 - 132 add like terms

-9T = -63 divide both sides by -9

T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7

3T + 4S = 69

3*7 + 4S = 69

21 + 4S = 69 subtract 21 from both sides

4S = 48 divide both sides by 4

S = 12

Answer:

16x - 9

Step-by-step explanation:

2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis

= 6x² + 10x - 6x² + 6x - 9 ← collect like terms

= 16x - 9

Answer:

16X-9

Step-by-step explanation:

(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)

6x²+10x+6x²+6x +-9

combine like terms

6x² +10x +-6x² +6x+-9

(6x² +6x² )+(10x+6x)+(-9)

16x+-9

16x-9

Answer:

Corroponding side lengths are equal

Step-by-step explanation:

Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.

Hope this helps :)

Answer:

5 1/3

Step-by-step explanation:

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] < [/tex]

Answer:

Y=7.5cm

Step-by-step explanation:

Y=12.5cm-10cm=2.5cm

=5cm+2.5cm=7.5cm

Answer:

$2x

Step-by-step explanation:

His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.

__________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]

[tex]\\ \sf\longmapsto P^2=81-65[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]

Answer:

In the given equation we need to find out the value of x to make this equation true.

Answer:

Step-by-step explanation:

∠8 = ∠6

∠8 = 7x - 36

∠8 +∠9 = 180   {Linear pair}

7x - 36 + 5x + 12 = 180

7x + 5x - 36 + 12 = 180

   12x  - 24 = 180

            12x = 180 + 24

           12x   = 204

               x = 204/12

x = 17

∠6 = 7x - 36  = 7*17 - 36 = 119 - 36 = 83

∠11 = ∠6    {Vertically opposite angles}

∠11 = 83

Answer:

youre gonna put 4 on x axis and -3 on y

Step-by-step explanation:

Answer:

hope it helps

.............

(I think you need a-e, if not let me know and I will edit accordingly)

a: Divide both sides by 4

cm -> 12:8

3:2

b: Convert and divide both sides by 3

cm -> 150:9

50:3

c: Convert and divide both sides by 20

cm -> 100:80

5:4

d: Convert and divide both sides by 4

months -> 4:12

1:3

e: Convert and divide both sides by 250

g -> 2000:250

8:1

Hope this helps, have a nice day :)

Answer:

6

Step-by-step explanation:

[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=117-81[/tex]

[tex]\\ \sf\longmapsto P^2=36[/tex]

[tex]\\ \sf\longmapsto P=6[/tex]

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.

Answer:

Step-by-step explanation:

a) vertex = (3, 18).

b) This tells us that the doorway is 8 units high.

c) Y intercept is at (0, 0).

d) x intercepts are (0, 0) and (6, 0).

e) The base is horizontal.

Answer:

112

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

Answer:

18+3

Step-by-step explanation:

3x6= 18

and 18+3=21

Answer:

15

Step-by-step explanation:

25=100º

x=60

[tex]\frac{25}{x}=\frac{100}{60}[/tex]

[tex]\frac{x}{25}=\frac{60}{100}[/tex]

x=15

Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4

Answer:

8987678

Step-by-step explanation:

2x^2 + 6x - 7 - 9x^2 + 11

(2x^2 - 9x^2) + (6x) + (-7 + 11)

-7x^2 + 6x + 4

Hope this helps!! :)

Answer:

=- 7x^2+6x+4

Step-by-step explanation:

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

its 35

Step-by-step explanation: