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ohaa [14]
3 years ago
14

Solve the system by substitution y=10x y=-3x-104

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:  (-8, -80)

<u>Step-by-step explanation:</u>

y = 10x

y = -3x - 104

Substitute "y" with "10x" into the second equation, then solve for x:

10x = -3x - 104

13x = -104         <em>added 3x to both sides</em>

  x = -8             <em>divided both sides by 13</em>

Next, substitute -8 for x into the first equation to solve for y:

y = 10(-8)

  = -80

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lesya692 [45]

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

7 0
3 years ago
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
Which points lie on the graph of f(x) = logor?
Mariana [72]

Answer:

9.1

Step-by-step explanation:

cus I seen it on usatesprep

8 0
3 years ago
Calculate the new balance using the previous balance method. Previous balance = $34.80 Finance charge = $0.75 New purchases = $8
pychu [463]
<h3>Given</h3>

new balance = previous balance + finance charge + purchases - payments

previous balance = $34.80

finance charge = $0.75

purchases = $83.21

payments = $5.50

<h3>Find</h3>

new balance

<h3>Solution</h3>

Fill in the given information and do the arithmetic.

... new balance = previous balance + finance charge + purchases - payments

... new balance = $34.80 + 0.75 + 83.21 - 5.50

... new balance = $113.26 . . . . matches the 2nd choice

7 0
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A bakery is having a sale on cupcakes. At 11am the bakery has sold 123 cupcakes. By 2pm the bakery has sold 470 cupcakes.
Wittaler [7]

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Step-by-step explanation:

6 0
3 years ago
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