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2 years ago

Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

Mathematics

2 answers:

cupoosta [38]2 years ago

5 0

$g(x)=x-3 \ \ \ and\ \ \ h(x)=x^2+6 \\\\(h \circ g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10$

Rudiy272 years ago

5 0

$h \circ g=(x-3)^2+6=x^2-6x+9+6=x^2-6x+15$

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Solve the following for the specified variable<br><br> Z=s/2(P+p); for P

lapo4ka [179]

Answer:

$\boxed{\sf P = \frac{2Z}{s} - p}$

Step-by-step explanation:

$\sf Solve \ for \ P: \\ \sf \implies Z = \frac{s}{2} (P + p) \\ \\ \sf Z = \frac{s}{2} (P + p) \ is \ equivalent \ to \ \frac{s}{2} (P + p) = Z: \\ \sf \implies \frac{s}{2} (P + p) = Z \\ \\ \sf Divide \ both \ sides \ by \ \frac{s}{2} : \\ \sf \implies P + p = \frac{2Z}{s} \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = \frac{2Z}{s} - p$

6 0

2 years ago

Two tanks hold a total of 55 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How m

Serhud [2]

Step-by-step explanation:

If x is the volume of the first tank, and y is the volume of the second tank, then:

x + y = 55

x = 2y + 4

Solve the system of equations using either substitution or elimination. Using substitution:

2y + 4 + y = 55

3y + 4 = 55

3y = 51

y = 17

Solve for x using either equation.

x + 17 = 55

x = 38

The first tank holds 38 gallons, and the second tank holds 17 gallons.

8 0

2 years ago

Read 2 more answers

Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu

Karo-lina-s [1.5K]

Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

$V=A*h$

Where:

V is the volume
A is the area (A=8*12 in²)
h is the height

So $h=\frac{V}{A}=\frac{768}{12*8}=8 in$

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!

3 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Verizon [17]

Answer:

Step-by-step explanation:

The reference angle is always the smallest angle with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

8 0

2 years ago

Which products result in a perfect square trinomial? select three options. (negative x 9)(negative x minus 9) (x y x)(x y x) (2

erastovalidia [21]

The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)

<h3>What is an polynomial?</h3>

A polynomial is an expression that involves only the operations of a<em>ddition, subtraction, multiplication</em> of variables.

A perfect square trinomial is the square of a binomial

(x + y + x)(x + y + x) = (2x + y)²

(2x - 3)(-3 + 2x) = (2x - 3)²

(4y² + 25)(25 + 4y²) = (4y² + 25)²

The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)

Find out more on polynomial at: brainly.com/question/2972832

#SPJ4

4 0

1 year ago