MATHEMATICS HIGH SCHOOL

6y = 3x -9 6x-2y=14 How many solutions does the linear system have? A) Infinite B) None C) One D) Two

Answers

Answer 1

Answer:

Answer:

C) One!

Step-by-step explanation:

Let’s solve the first equation for y:

6y = 3x - 9 y = (3/6)x - (9/6) y = (1/2)x - (3/2)

Now, we substitute this expression for y into the second equation:

6x - 2y = 14 6x - 2((1/2)x - (3/2)) = 14 6x - x + 3 = 14 5x = 11 x = 11/5

Finally, we substitute this value of x back into either of the original equations to find y:

6y = 3(11/5) - 9 6y = 33/5 - 45/5 6y = -12/5 y = -2/5

Therefore, the solution to the system of equations is C) One.

I hope this helps :D

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The population of a pack of wolves is 88. The population is expected to grow at a rate of 2.5% each year.Which function equation represents the population of the pack of wolves after t years?

f(t)=88(0.025)^t

f(t)=88(1.025)^t

f(t)=88(1.25)^t

f(t)=88(2.5)^t

Answers

Answer:

Option B is correct.

$f(t) = 88(1.025)^t$ represents the population of the pack of wolves after t years

Step-by-step explanation:

The exponential growth function is given by;

$f(t) = a(1+r)^t$ ......[1]

where

a represented the initial value

r represents the rate(in decimal)

t represents the time in years

As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.

⇒ a = 88 and r =2.5% = 0.025.

Substituting these values in equation [1], we have;

$f(t) = 88(1+0.025)^t$

$f(t) = 88(1.025)^t$

Therefore, the population model of the pack of wolves after t years is given by: $f(t) = 88(1.025)^t$

What is the area of the composite figure?4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in

Answers

Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

5-3x>6

Please helppppo please hellppppppp

Answers

Step-by-step explanation:

5-3x>6

-3x>1

x<-1/3

got it?

Answer:

2x<6

Step-by-step explanation:

Ramya paid for 5 packages of printer paper. Each package cost $9.86. How much did Ramya spend on the packages?

A.
$45.00

B.
$49.30

C.
$9.86

D.
$2.00

Answers

I got B as my answer

the anser is bbbbbbbbbbbbbbbbbbb

URGENTE ES PARA MAÑANA AYUDA si consignas 1.500.000 en un banco que ofrece el 3 porciento de interés anual ¿al cabo de un año cuanto dinero tendras'? doy 15 puntos

Answers

(0.03*1500000)+1500000
= 45000+1500000
=1.545.000

Answer:

(0.03 * 1500000) +1500000

= 45000 + 1500000

= 1.545.000

Step-by-step explanation:

Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?

Answers

1/5 x 40

= 8 marbles

3/8 x 40

= 15 marbles

just multiply all both fraction with 40, hence u will get

Marvin=1/5 x 40=8
Leroy=3/8 x 40=15
Jonah will have 17 marbles left.

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