All categories

2 years ago

PLS PLS HELP!!!!!!

Mathematics

1 answer:

3241004551 [841]2 years ago

4 0

Answer:

Step-by-step explanation:

Okay, so for this, you need to know that (g°f)(x) = g(f(x))

in order words, we are using the f(x) equation as X for the g(x) equation..

$\frac{ x^{2} +5 + 5}{ x^{2} +5}$ = $\frac{x^{2}+10}{x^{2}+5}$

Now, we just plug in -3 for X

$\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}$

You might be interested in

Rationalise the denominator by 6 root 7 minus 1

nikklg [1K]

Answer:

Assuming the numerator was 1.

$(6\sqrt{7}+1)/251$

Step-by-step explanation:

Assuming the numerator was 1.

$1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251$

7 0

2 years ago

Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.

irina1246 [14]

Lagrange multipliers:

$L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)$

$L_x=y^2z^2+\lambda=0$
$L_y=2xyz^2+\lambda=0$
$L_z=2xy^2z+\lambda=0$
$L_\lambda=x+y+z-5=0$

$\lambda=-y^2z^2=-2xyz^2=-2xy^2z$

$-y^2z^2=-2xyz^2\implies y=2x$ (if $y,z\neq0$ )

$-y^2z^2=-2xy^2z\implies z=2x$ (if $y,z\neq0$ )

$-2xyz^2=-2xy^2z\implies z=y$ (if $x,y,z\neq0$ )

In the first octant, we assume $x,y,z>0$ , so we can ignore the caveats above. Now,

$x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2$

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of $f(1,2,2)=16$ .

We also need to check the boundary of the region, i.e. the intersection of $x+y+z=5$ with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force $f(x,y,z)=0$ , so the point we found is the only extremum.

4 0

3 years ago

You are downloading songs to your mp3 player the ratio of pop songs to rock songs is 5 to 4 you download 40 pop songs how many r

dmitriy555 [2]

The ratio of pop songs to rock songs you download is 5:4, and 40 are pop songs. You want to find out how many rock songs there are.
First, add the ratios together: 5+4=9. This means that 9 will be your denominator, so 5/9 songs are pop and 4/9 songs are rock.
Now you know that pop songs account for 5/9 of the songs, this means that 40 is 5/9 of the total songs.
To find out how much 4/9 is, you need to divide 40 by 5 to get 1/9 and times that number by 4 to get 4/9:
40÷5=8×4=32 songs are rock songs

7 0

3 years ago

Read 2 more answers

Simplify √5 • √8. A.)2√10 B.)4√10 C.)√40 D.)√13

tresset_1 [31]

Answer:

Simplify the radical by breaking the radical up into a product of known factors.

2 √ 10

Step-by-step explanation:

5 0

3 years ago

What is the volume of the right rectangular prism below?

Vesnalui [34]

Answer:

Volume of right rectangular prism = 3.75 in³

Step-by-step explanation:

Given:

First side of rectangular prism = 2 inches

Second side of rectangular prism = 1 $\frac{1}{2}$ = 1.5 inches

Third side of rectangular prism = 1 $\frac{1}{4}$ = 1.25 inches

Find:

Volume of right rectangular prism:

Computation:

$Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3$

7 0

2 years ago