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4 years ago

If f(x) = 3x2 + 6x + 12 and g(x) = x2 – 6x + 3, what is f(x) + g(x)?

Mathematics

1 answer:

bixtya [17]4 years ago

8 0

I think it would be C. 4x^2 +15 since positive 6 and negative 6 cancel each other out and you just combine like terms.

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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

butalik [34]

Answer: The required point = (1.857,8.643)

Step-by-step explanation:

Equation of circle with center (h,k) and radius r: $(x-h)^2+(y-k)^2=r^2$

Given: Radius = 5 , center = (0,4)

Eqation of circle: $(x-0)^2+(y-4)^2=5^2$

$x^2+(y-4)^2=25$

$x^2+(2.5x+4-4)^2=25$ [Using equation y = 2.5 x + 4 ]

$x^2+(2.5x)^2=25$

$x^2+6.25x^2=25$

$7.25x^2=25$

$x^2=3.44827586207$

$x=1.857$

$y= 2.5(1.857)+4$

$=8.6425$

Hence, the required point = (1.857,8.643)

7 0

4 years ago

Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS.

Lemur [1.5K]

Answer:

9cm

Step-by-step explanation:

Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
Now we know that QS=PT=8.
By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.

8 0

3 years ago

The time taken to prepare the envelopes to mail a weekly report to all executives in a company has a normal distribution, with a

telo118 [61]

Answer:

Mailing preparation takes 38.29 min max time to prepare the mails.

Step-by-step explanation:

Given:

Mean:35 min

standard deviation:2 min

and 95% confidence interval.

To Find:

In normal distribution mailing preparation time taken less than.

i.eP(t<x)=?

Solution:

Here t -time and x -required time

mean time 35 min

5 % will not have true mean value . with 95 % confidence.

Question is asked as ,preparation takes less than time means what is max time that preparation will take to prepare mails.

No mail take more time than that time .

by Z-score or by confidence interval is

Z=(X-mean)/standard deviation.

Z=1.96 at 95 % confidence interval.

1.96=(X-35)/2

3.92=(x-35)

X=38.29 min

Confidence interval =35±Z*standard deviation

=35±1.96*2

=35±3.92

=38.29 or 31.71 min

But we require the max time i.e 38.29 min

And by observation we can also conclude the max time from options as 38.29 min.

4 0

4 years ago

Solve in logarithms no scam 94100×√38.2\5.68^3×8.14 pls help don't scam pls

maks197457 [2]

Answer:

389.89879489

Step-by-step explanation:

1. Multiply

(5.68^3 × 8.14= 1491.65851648)

94100 × √38.2 / 1491.65851648

2. evaluate root

(√38.2 = 6.18061485)

94100 × 6.18061485 / 1491.65851648

3. multiply 

(94100 × 6.18061485 = 581595.85796324)

581595.85796324 / 1491.65851648

4. divide

(581595.85796324 / 1491.65851648 = 389.89879489)

8 0

3 years ago

Which of the following is not a possible value for a probability

ikadub [295]

Answer:

5/4

Step-by-step explanation:

An probability can not be more than 1.

The range from probability is from 0-1.

When 0, is none and 1 is all.

5/4 is more than 1, so it is not an possible probability.

4 0

4 years ago

Read 2 more answers