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3 years ago

Simplify x + (7+14x)

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

8 0

Answer:

15x + 7

Step-by-step explanation:

x + (7 + 14x)

x + 7 + 14x

15x + 7

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I don’t really understand this

PtichkaEL [24]

Answer:

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Step-by-step explanation:

f(x)= -2(-3)^2 - 3(-3) + 6

i think i hope thats right

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Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two

Ugo [173]

Answer:

Andre's height: y < x < 164

Step-by-step explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

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How to put 17/4 into a mixed number

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Divide the top by bottom. So 17 divided by 4. Which would be around 4.25

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3 years ago

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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

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3 years ago

Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail's age?

Svetllana [295]

35 - 9 = 26 so mikhail is 26

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Simplify x + (7+14x)​

Simplify x + (7+14x)