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3 years ago

Simplify — 6x — 4у + x — 2y

Mathematics

2 answers:

LuckyWell [14K]3 years ago

7 0

Answer:

-5x-6y

Step-by-step explanation:

1) Collect like terms:

-6x + x and -4y - 2y

2) Simplify:

-6x+1x = -5x

-4y-2y= -6y

3) Put it together:

-5x-6y

ale4655 [162]3 years ago

5 0

Answer:

-5x-6y

Step-by-step explanation:

-6x-4y+x-2y

Combine -6x and x to get −5x.

-5x-4y-2y

Combine −4y and −2y to get −6y.

-5x-6y

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Match the real-world problem to its constant of proportionality.

BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 2

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{24}{2} = 12$

So, the proportionality constant is 12

6 0

4 years ago

Solve triangle.A = 33°, a = 20, b = 13

aivan3 [116]

Answer:

B = 20.7°

C = 126.3°

c = 29.6

Step-by-step explanation:

See attached photo for steps...

5 0

3 years ago

Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3yea

Ket [755]

5600 in three yoears

3 0

3 years ago

Y-3=(x+2)^2 Please explain how you graph this and find the vertex and axis of symmetry

bija089 [108]

Okay so I attatched pictures of my work. I would just graph it by plugging in x-values on either side of the vertex into the equation. For example, the vertex is at (-2,3). So try plugging x=-5 and x=1 into the equation (y=a(x-h)^2 +k).
y=(x+2)^2 +3
y=((1)+2)^2 +3=(3)^2+3= 9+3= 12
Now you can plot the vertex (-2,3), the point (1,12), and (-5,12). From there just connect the dots and you should get a graph that looks similar to the last picture I attached. Hope this all made sense sorry it was so wordy I just wasn't sure how much you knew or didn't know. So, I thought it would be better to explain it all rather than not enough.

8 0

3 years ago

Maria had $3,500 and invested it into an account with an annual

Nina [5.8K]

Answer:

FV= $3,716.32

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Interest rate (i)= 1.2% compounded monthly

First, we need to determine the monthly nominal interest rate:

Monthly interest rate= 0.012/12= 0.001

Now, to calculate the future value after 't' months, we need to use the following formula:

FV= PV*(1 + i)^t

For example, for 60 months:

FV= 3,500*(1.001^60)

FV= $3,716.32

8 0

3 years ago