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tester [92]
3 years ago
12

Expand and simplify (x+2)(x+3)

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0
Use\ (a+b)(c+d)=ac+ad+bc+bd\\------------------------\\(x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)\\\\=x^2+3x+2x+6=\huge\boxed{x^2+5x+6}
julia-pushkina [17]3 years ago
4 0
(x+2)(x+3)= x (x + 3) + 2(x+3) 
= x ^2 +3x + 2x + 6 
= x^2 + 5x +6 ...

Hope it helps !!!
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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
Mariana [72]

Answer:

  1. <em> 15</em>
  2. <em> 42,250</em>

Step-by-step explanation:

The given function is,

P=40000+300x-10x^2

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at \left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)

The value of the function will be maximum at,

x=-\dfrac{b}{2a}

Putting the values,

x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

P=40000+300(15)-10(15)^2=42,250

4 0
3 years ago
2.1(2.3 + 2.1x) = 11.65 + x. Step by step equation please help
DedPeter [7]

Answer:

x=2

Step-by-step explanation:

2.1(2.3 + 2.1x) = 11.65 + x

Distribute

4.83+4.41x=11.65+x

bring 4.83 over (-)

4.41x=6.82+x

bring x over

4.41x-1(x)=6.82

4.41-1=3.41 so

3.41x=6.82

divide 3.41

x=2

3 0
3 years ago
Pls answer fast my teacher is waiting!
a_sh-v [17]

Answer:

For company A, y = 24x + 42

For company B, y = 28x + 25

Step-by-step explanation:

x is the number of containers

y is the total cost

For company A, y = 24x + 42

For company B, y = 28x + 25

For the cost of both companies to be the same, then

24x + 42 = 28x + 25

28x - 24x = 42 - 25

4x = 17

x = 4.25

Mr Lycan would have to order about 4 containers so the cost would be the same from each company

4 0
2 years ago
In the figure below, BD and AC are diameters of circle P.
elena-14-01-66 [18.8K]

Answer:

arc\ DC=30^o

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

The point P is the center of the circle (the drawing is not a scale )

step 1

Find the measure of angle ∠CPD

we know that

m\angle CPD+150^o=180^o ---> by supplementary angles (form a linear pair)

m\angle CPD=180^o-150^o=30^o

step 2

Find the measure of arc DC

we know that

<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

arc\ DC=m\angle CPD ----> by central angle

therefore

arc\ DC=30^o

5 0
2 years ago
What is the rate of change of the function described in the
Debora [2.8K]
5 because if you multiply the previous value by 5, you get the next answer
5 0
3 years ago
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