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Alex
3 years ago
8

Select the expression equivalent to (-2x+8.1y)-(-9x+5.3y)

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

D

Step-by-step explanation:

-2x+8.1y

+9x-5.3y

________

get the answer 7x+2.8y

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What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)
larisa [96]

Answer:

The vertex is the point (-1,0)

Step-by-step explanation:

we have

f(x)=3x^{2} +6x+3

we know ow that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=3x^{2} +6x

Factor the leading coefficient

f(x)-3=3(x^{2} +2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-3+3=3(x^{2} +2x+1)

f(x)=3(x^{2} +2x+1)

Rewrite as perfect squares

f(x)=3(x+1)^{2}

therefore

the vertex is the point (-1,0)

6 0
3 years ago
Read 2 more answers
Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%
jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]

On putting the values in the above formula, we get

⇒  100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]

⇒  100000=PMT\times 152.8014557

⇒  PMT=\frac{100000}{152.8014557}

⇒  PMT=654.44

Now,

Saving \ Per \ Month =Rent \ per \ month-PMT

On putting the values, we get

⇒                             =725-654.44

⇒                             =70.56

3 0
3 years ago
Explain how you know 21/30 is greater than 2/3
Luba_88 [7]
Simple.

to figure out if they are either: equal, greater, or smaller...

First, find a common denominator...

\frac{21}{30}

and

\frac{2}{3} * \frac{10}{10} = \frac{20}{30}

Now, we can obviously make the assumption that \frac{21}{30} is greater than \frac{20}{30}.

Thus, your answer. 

3 0
3 years ago
Read 2 more answers
BRAILIEST IF RIGHT Which other expression has the same value as (-14) - 8 ?
stiks02 [169]

Answer:

It's the last one (-14) +(-8)

Step-by-step explanation:

since (-14)-8 is -22 and the last one is also -22

4 0
3 years ago
I need help ASAP please. It's a contest
igor_vitrenko [27]

Answer:

3.25

Step-by-step explanation:

5 0
2 years ago
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