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3 years ago

Need help with these 2

Mathematics

2 answers:

luda_lava [24]3 years ago

4 0

19. 38x - 3y - 34 because 5(7x+3y-8) =!35x+15y-40 and 3(x-6y+2 = 3x -18y +6. Combine alike factors.

20. Yes it is factored correctly.

Arada [10]3 years ago

4 0

Answer:

19 is 38x - 3y - 34

20 would be yes

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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

$\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c$

Then we have

$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0

2 years ago

Did I get this right?

natima [27]

Answer: Yes, the answer is 40 quarters.

Step-by-step explanation:

1. You need to remember that 4 quarters make a dollar.

2. Keeping this on mind, you can make a Rule of three, as following: If there are 4 quarters in 1 dollar, how many quarters are in 10 dollars?

Then:

4 quarters-------1 dollar

$x$ ---10 dollars

$x=\frac{(10dollars)(4quarters)}{1dollar}\\x=40quarters$

3. Therefore, there are 40 quarters in one roll.

7 0

3 years ago

Seven years ago, Douglas purchased a $204,000 home with a 30-year

Stella [2.4K]

Answer:

The new mortgage repayment is $10,580.69

Step-by-step explanation:

As at the time Douglas lost his job,he has already made repayments on the mortgage for a period of 7 years,by extending the repayment period by another 7 years,Douglas now have a period of repayment of 30 years now(30-7+7).

The new repayment yearly can be computed using the pmt formula in excel as given below:

=pmt(rate,nper,-pv,fv)

rate is the interest rate on mortgage given as 4.25%

nper is the period of repayment now 30 years

pv is the current of balance of $177,533.62

fv is the total amount repayable on the mortgage and it is not known hence taken as zero

=pmt(4.25%,30,-177533.62,0)=$10,580.69

8 0

3 years ago

Read 2 more answers

A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

$P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}$

The probability that they each win six games is k=6.

$P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}$

$P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625$

$P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625$

$P(X=6)=0.225$

Therefore, The probability that they each win six games is 0.225.

3 0

3 years ago

Find an ordered pair x-2y=4

Vesnalui [34]

Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)

5 0

3 years ago

Read 2 more answers