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3 years ago

5x + 2y = -5 X + 3y = 1

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

(-17/13, 10/13)

Step-by-step explanation:

Next time, please include more info regarding what you're supposed to do. I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."

Multiply all three terms of the second equation by -5. Then the system looks like:

5x + 2y = -5

-5X + -15y = -5

Next, combine these two equations:

5x + 2y = -5

-5X + -15y = -5

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

-13y = -10

Dividing both sides by -13 yields y = 10/13.

Substituing 10/13 for y in the second equation, we get:

x + 3(10/13) = 1

Multiplying all three terms by 13 eliminates fractions:

13x + 30 = 13, or 13x = -17. Then x = -17/13, and the solution is

(-17/13, 10/13)

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Please help me I don’t understand

postnew [5]

Answer:

$70

Step-by-step explanation:

If the account start with $95, and you deposited $15:

95+15 = $110

After that, you took 65:

110 -65 = $45

After you deposited $40:

45 + 40 = $85

And for last you took more 15:

85 -15 = $70

5 0

2 years ago

If g(x)=x^2-5x+8, find g(8)

ycow [4]

Answer:

Option A) 32

Step-by-step explanation:

Given the quadratic function, g(x) = x²- 5x + 8:

In order to evaluate and determine the output value given g(8), substitute the input value into the function:

g(x) = x²- 5x + 8

g(8) = (8)²- 5(8) + 8

g(8) = 64 - 40 + 8

g(8) = 32

Therefore, the correct answer is Option A) 32.

5 0

2 years ago

4 is the _____ of 4n

murzikaleks [220]

Answer:

4 is the coefficient of 4n

Step-by-step explanation:

8 0

2 years ago

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

∴ $pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95$

* The monthly payment is $262.95

8 0

3 years ago

A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Comp

koban [17]

Given that a certain antihistamine is often prescribed for allergies.

And typical dose for 100-pound person is 25 mg every 6 hours.

a) Let us calculate dose per 1 hour for 100-pound person= $\frac{25}{6} mg/hr$

Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

$=168X\frac{25}{6} = 700mg$

The number of 12.8 chew able tablets would be taken in a week= $\frac{700}{12.8}=54.6875$

Hence number of 12.8mg chew able tablets would be taken in a week is 55.

b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.

Hence amount of liquid histamine should a 100-pound person take in a week = 55X9

=495ml

3 0

3 years ago