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2 years ago

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Mathematics

2 answers:

stira [4]2 years ago

7 0

Answer:

Step-by-step explanation:

3 Because 4 = 1 and if its 12 then u have to divide it by 4 which is 3 also can u tell me if i got it right casue if its wrong im really sorry but im 99.99999999% sure its 3 lol

Andrei [34K]2 years ago

6 0

Answer:

Step-by-step explanation:

divide 12 by 4 and then multiply that number by 1

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(06.04 MC)

Andru [333]

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

◉ $\large\bm{ -4}$

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Before performing any calculation it's good to recall a few properties of integrals:

$\small\longrightarrow \sf{\int_{a}^b(nf(x) + m)dx = n \int^b _{a}f(x)dx + \int_{a}^bmdx}$

$\small\sf{\longrightarrow If \: a \angle c \angle b \Longrightarrow \int^{b} _a f(x)dx= \int^c _a f(x)dx+ \int^{b} _c f(x)dx }$

So we apply the first property in the first expression given by the question:

$\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}$

And we solve the second integral:

$\small\sf{\longrightarrow2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot(3 - ( - 2)) }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} 2dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot5 = 2 \int^3_{-2} f(x)dx10 = }$

Then we take the last equation and we subtract 10 from both sides:

$\sf{{\longrightarrow 2 \int ^3_{-2} f(x)dx} + 10 - 10 = 18 - 10}$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 8}$

And we divide both sides by 2:

$\small\longrightarrow \sf{\dfrac{2 { \int}^{3} _{2} }{2} = \dfrac{8}{2} }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx=4}$

Then we apply the second property to this integral:

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 4}$

Then we use the other equality in the question and we get:

$\small\sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx = 8 + 2 \int ^3_{-2} f(x)dx = 4}$

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =4}$

We substract 8 from both sides:

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx -8=4}$

• $\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =-4}$

7 0

1 year ago

If a bolt of fabric measuring 20 yards 8 inches is divided into 26 equal parts. how long is each section?

Troyanec [42]

1 yd = 36 inches....so 20 yds = 20*36 = 720 inches....+ 8 inches = 728 inches

728 / 26 = 28 inches....<==each section is 28 inches

6 0

2 years ago

–6 + 4k = 2(–2k + 5) + 6k

balu736 [363]

Answer:

k=8

Step-by-step explanation:

yes

5 0

2 years ago

Ricky is packing food for camping trip. He has 24 granola bars and 30 protein bars. Ricky wants to make identical bags. Each wil

dimaraw [331]

Answer:

Step-by-step explanation:

first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)

The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.

3 0

2 years ago

8x-19 = -12x+61 What is x?

olasank [31]

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

20x -19+19=61+19

20x=80

Step 3: divide both sides by 20

20x/20=80/20

x=4

3 0

3 years ago