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2 years ago

5

*WILL GIVE BRAINLEST IF CORRECT**

1 answer:

PSYCHO15rus [73]2 years ago

5 0

Conner's work is correct. To combine and make it simple, you Multiply:

(3^5+9)+(6^8+10) which will equal 3^14 6^18.

But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.

Hope that helped!

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Find the gain or loss per cent, if <br>C.P. = 200 and S.P. = 224

motikmotik

Ah sana masgot nyu toh natatae na ako saglit lang 3583 is answer kaso nag huhugas pa ako ng plato saglit

7 0

3 years ago

The area of a rectangle or a 48 square inches the length is 8 inches what is the measure of its width

adoni [48]

6 inches because area= length times width and 6 times 8= 48 inches

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSER!!

s2008m [1.1K]

The answer is B.) 1/81

8 0

3 years ago

Hi! Please help, I'd appreciate it!

Romashka-Z-Leto [24]

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

$4\pi r^2=196\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{49}\\r=7$

The radius is 7 feet.

Volume of sphere = $\frac{4}{3}\pi r^3$

$Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi$

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

#LearnwithBrainly

3 0

3 years ago