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spin [16.1K]
3 years ago
12

Combine like terms 4q+9q

Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Hey there!

• The like terms are already combined! Both of your numbers have “q” in it so they are like terms

• If you had something like this: 4q^2 + 9q^3 they won’t be like terms because they are different

Anyways!

4q + 9q = 4 + 9

⬆️ ⬆️

13q = 13

Thus your answer is would most likely be: 13q

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
Please help!!! I can't figure it out​
weeeeeb [17]

A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;

x = 1, y = 5.0125

B) The possible solutions of the given equation will be; x = 3.11 or -3.11

C) The solution to p(x) = g(x) is; x = 0 and y = 0

<h3>How to find the solution to simultaneous equations graphically?</h3>

When we are trying to solve two simultaneous equations, there are three methods we can use namely;

1) Elimination Method

2) Substitution Method

3) Graphical Method

Now, we see that we are to use the graphical method from the given graph.

Now, the solution to the given pair of equation will be the coordinates of the points where both graphs intersect.

A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;

x = 1, y = 5.0125

B) The possible solutions of the given equation will be the point where f(x) = 0 which is where the line crosses the x-axis and so we have;

x = 3.11 or -3.11

C) The solution to p(x) = g(x) is the coordinate;

x = 0 and y = 0

Read more about Simultaneous Equations Solutions at; brainly.com/question/16863577

#SPJ1

7 0
1 year ago
Find the product of 2x4(4x2 + 3x + 1).
tresset_1 [31]
2x^4(4x^2 + 3x + 1)=\\\\(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\\\\8x^6 + 6x^5+2x^4

The answer is A.
4 0
3 years ago
Read 2 more answers
What is a number as a decimal 1 over 20
hram777 [196]
1/20 is equivalent to .05 because 5/100 is 1/20.

Hope this helps!
3 0
3 years ago
Can someone please tell me this answer it is for a very major grade and I have 2 weeks of school left and I really wanna pass (1
gladu [14]

Answer:

X=5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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