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3 years ago

Question 2

Mathematics

1 answer:

Oliga [24]3 years ago

6 0

Answer:

Step-by-step explanation:

you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.

So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9

We have completed the square.

f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form

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2. Perpendicular to y=1/2x -6 that passes through (6,-4) <br> PLEASE HELP ME ASAP

iren [92.7K]

Answer:

To get the slope (which we'll call n) of a line perpendicular to another line with slope (a/b), use

$n = \frac{-b}{a}$

Then we just plug in the point we want to cross and solve for the constant.

Step-by-step explanation:

we see that m = $\frac{1}{2}$

so, $n = -\frac{2}{1} = -2$

now we have the equation

$-2x + b = y$

plugging in (6, -4) we get

$-2(6) + b = -4\\-12+b = 4\\b=4+12=16$

This gives us our function

$y = -2x + 16$

3 0

1 year ago

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit $500 into the acc

katovenus [111]

Answer:

<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>

Step-by-step explanation:

Annual interest rate is 2.75%. Hence, the monthly interest rate is $\frac{2.75}{12}$

The amount will be compounded $(20\times12) = 240$ times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be $500\times [1 + \frac{2.75}{1200} ]^{240}$

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give $500\times [1 + \frac{2.75}{1200} ]^{239}$

Hence, the total after 20 years will be $500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741$

7 0

3 years ago

Try Again<br> ESC<br> Three consecutive even integers have a sum of 18. Find the integers.

IRISSAK [1]

Answer:

Step-by-step explanation: 6,2,3

6 0

2 years ago

HOW do I solve these questions?

weeeeeb [17]

Okkk

Step-by-step explanation:

1. 5(1+9v)=5+5x9v=5+(5x9v)=5+45v

2.(20:4/12:4)=4(5b+3)

4 0

3 years ago

Read 2 more answers

Pls Help

vovikov84 [41]

Answer:

$42$

Step-by-step explanation:

Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.

So, we need to solve this equation for $x$ : $x*5/6=35$ .

We can multiply both sides of the equation by $6$ to get $x*5=210$ .

We then divide by $5$ on both sides to get $x=42$ .

So, we can make $\boxed{42}$ pairs of soccer shorts.

7 0

2 years ago