The product of three and a squared number is twice the sum of the number and four

Answers

Answer 1

Answer: From the text of the task we can write the equation:

$3 x^(2) =2(x+4)\n \n 3x^2=2x+8\n \n 3x^2-2x-8=0\n \n \Delta=(-2)^2-4.3.(-8)=4+96=100\n \n x=(2 \pm√(100))/(2.3)=(2 \pm10)/(6)\n \n x_1=(2-10)/(6)=-(8)/(6)=-(4)/(3)\n \n x_2=(2+10)/(2.3)=(12)/(6)=2$

Answer 2

Answer: $3x^2=2(x+4)\n 3x^2=2x+8\n 3x^2-2x-8=0\n 3x^2-6x+4x-8=0\n 3x(x-2)+4(x-2)=0\n (3x+4)(x-2)=0\n x=-(4)/(3) \vee x=2$

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What is the oblique asymptote of the function f(x) = the quantity x squared plus 5x plus 6 over the quantity x plus 4?

Answers

Answer:

$x+1$

Step-by-step explanation:

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.

We are given a function:

$f(x)=(x^2+5x+6)/(x+4)$

Since in the given function the polynomial in the numerator is a higher degree than the polynomial in the denominator.

So, now to find oblique asymptote we will divide the numerator by the denominator

So, on dividing we get :

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$ j

Now, As $x\to\pm\infty$ the remainder term disappears

So the oblique asymptote is the line $y=x+1$

Thus, the oblique asymptote of the function $f(x)=(x^2+5x+6)/(x+4)$ is $x+1$

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$

As $x\to\pm\infty$ , the remainder term disappears, so the oblique asymptote is the line $y=x+1$ .

Mrs hudson can grade 1 1/3 math papers in 8 seconds how many math papers can she grade per second

Answers

Answer:

Step-by-step explanation:

the rate is 1 1/3 math papers per every 8 seconds so you could put it as a fraction: (1 1/3 )/8. you would then divide to get 1/6 math papers per second as your answer

Barney and Betty break into a parking meter with $5.05 in dimes and quarters in it, and agree that Barney get all the dimes, and Betty will get all the quarters. Barney ends up with five more coins than Betty. How much money did each get?

Answers

so remember that a quarter=25 cents and a dime=10 cents so
represent q=# of quarters
d=# of dimes

so barney gets dimes so replace barney with d and betty with q
barney get 5 more coins than betty
d=5+q
total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have
d=5+q and 5.05=0.25q+0.10d
subsitue (5+q) for d
5.05=0.25q+0.10(5+q)
distribute
5.05=0.25q+0.50+0.10q
add like terms
5.05=0.35q+0.50
subtract 0.50 from both sides
4.55=0.35q
divide both sides by 0.35
13=q
subsitute
d=5+q
d=5+13
d=18

barney got 18 coins and betty got 13 coins

Noah rows across a river that is 48m wide. The current carries him 15m downstream. How far does Noah actually travel?

Answers

He travels 48 meters relative to the water, and 50.289 meters
relative to a person standing on the riverbank

Help me please it’s on spheres thankyou

Answers

Answer:

452.3893421 cm^2

452.4 (to one decimal place)

Step-by-step explanation:

Radius (r) - 6cm

The surface area of sphere = 4pi r^2

therefore:

4 * pi * 6^2

4 * pi * 36

144 * pi

452.3893421 cm^2

452.4 (to one decimal place)

Answer:

Surface area = 452,4

Step-by-step explanation:

radius = 6 cm

Surface area = 4πr²

Surface area = 4(3.1416)(6)²

Surface area = 12.5664 (36)

Surface area = 452, 3904

Surface area = 452,4

9.48 divided 15
Can u tell me the answer

Answers

Answer:

0.632

Step-by-step explanation:

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