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3 years ago

What number "c" completes the square: x^2 - 14x + c

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

Step-by-step explanation:

To complete the square we use the formula:

$c=(\frac{b}{2} )^{2}$

So we can plug in 14 for b to find c.

$c=(\frac{14}{2} )^{2}\\\\c=(7 )^{2}\\c=49$

Now this equation can be factored into:

$(x-7)^{2}$

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4. Find the solution to the equation below. please finish this problem

velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

$\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}$

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

$\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}$

Simplify the expressions/equations:

$\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}$

Isolate w-variable:

$\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}$

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

4 0

1 year ago

Write solutions to the systems of inequalities that should lie on the double- shade region

Vadim26 [7]

Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

6 0

3 years ago

Complete the pattern: 6,7, 12, 13, 18, Next two numbers

jeka94

Answer:

19, 24

Step-by-step explanation:

the pattern adds one then adds five

+1, +5, +1, +5, on and on

6+1 is 7

7+5 is 12

12+1 is 13

13+5 is 18

18+1 is 19

19+5 is 24

3 0

3 years ago

Read 2 more answers

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Bas_tet [7]

Answer:

It will take about 35.439 years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

$A=P\,e^{r*t}$

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

$3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}$

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

$ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years$

7 0

3 years ago

12% of people are wearing sunglasses. If

VashaNatasha [74]

Answer:

500 people?Not too sure but that is my best guess

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers