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2 years ago

Geometry What’s the answer to 5x-6y= 33 and 2x+y = -14

Mathematics

1 answer:

V125BC [204]2 years ago

7 0

Answer:

X=-3 y=-8

Step-by-step explanation:

$5x - 6y = 33 \\ y = - 14 - 2x \\$

Put the second one in first

$5x - 6( - 14 - 2x) = 33 \\ 5x + 84 + 12x = 33 \\ 17x = - 51 \\ x = - 3$

$y = - 14 - 2 \times ( - 3) \\ y = - 8$

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What are the solutions to f(x) = g(x)?

TiliK225 [7]

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

5 0

3 years ago

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic

Free_Kalibri [48]

The equation for the situation is $y=200(\frac{2}{3})^{x}$

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is $y=a(b)^{x}$ , where

a is the initial value
b is the growth/decay factor
If b > 1, then it is a growth factor
If 0 < b < 1, then it is a decay factor

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is $\frac{2}{3}$

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is $y=a(b)^{x}$ , where y represent the

population in x years

∵ a = 200

∵ b = $\frac{2}{3}$

∴ $y=200(\frac{2}{3})^{x}$

The equation for the situation is $y=200(\frac{2}{3})^{x}$

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ $5=200(\frac{2}{3})^{x}$

- Divide both sides by 200

∴ $0.025=(\frac{2}{3})^{x}$

- Insert ㏒ for both sides

∴ $log(0.025)=log(\frac{2}{3})^{x}$

∴ $log(0.025)=xlog(\frac{2}{3})$

- Divide both sides by $log(\frac{2}{3})$

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation in brainly.com/question/10666510

#LearnwithBrainly

8 0

3 years ago

On Kathleen's credit card statement get last balance was $89.70. She made a payment of $20, had new charges totaling $32.11, and

Leona [35]

Hi there

Amount financed
89.70−20=69.7

Finance charge
69.7×(0.0123)=0.86

New balance
Previous balance-payment+finance charge+New charge (new transaction)
89.7−20+0.86+32.11
=102.67

Hope it helps

5 0

3 years ago

Evaluate 7-5p+3q when p=1 and q=7

KIM [24]

Answer:

Step-by-step explanation:

<em><u>Since it gives you the values of p and q, just plug it into the expression:</u></em>

7 - 5p + 3q

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

3 0

2 years ago

Read 2 more answers

You are choosing between two different cell phone plans. The first plan charges a rate of

shutvik [7]

If you talk for 384.23 minutes the two plans will have the same cost.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

4 0

2 years ago