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3 years ago

Let g(x)x and h(x) . Evaluate .

Mathematics

1 answer:

Maurinko [17]3 years ago

3 0

9514 1404 393

Answer:

h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

$(h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}$

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They currently give me 15 euros a week, but I have convinced my parents to raise it for me by 12%. What will be my weekly money

Nina [5.8K]

Answer:

16.80 euros.

Step-by-step explanation:

12% = 0.12

So it will now be 15 + 15 * 0.12

= 16.80.

8 0

3 years ago

Read 2 more answers

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

6 0

3 years ago

Read 2 more answers

In a box, 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many

Andrei [34K]

Answer:

160 total beads

Step-by-step explanation:

so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =

3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.

1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow

so if 7/10 of the beads are red and yellow, then 3/10 are blue

3/10 of what number is 48

3/10x = 48

x = 48 * 10/3

x = 480/3

x = 160

let me check it..

1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40

3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow

and then u have 48 blue...

40 + 72 + 48 = 160

so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===

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3 years ago

Find the angle of this sector. <br>on the image

KatRina [158]

Answer:

$\alpha =107.4^{o}$

Step-by-step explanation:

$15=\frac{\pi (8)\alpha }{180}$

$\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4$

Hope this helps

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2 years ago

Read 2 more answers

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x

Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

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3 years ago

Let ​g(x)x and ​h(x) . Evaluate .

Let g(x)x and h(x) . Evaluate .