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nika2105 [10]
3 years ago
10

6 divided by 3/4 I need to show work

Mathematics
2 answers:
bija089 [108]3 years ago
8 0
6 ÷ 3/4
=6/1 ÷3/4
=6/1 × 4/3
=2/1 × 4/1
=8/1
=8
Goshia [24]3 years ago
6 0
The final answer is 8 if the photo is not visible enough

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Question 1 (1 point)
olga55 [171]

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

6 0
3 years ago
If f(x)=2x^6+x^5+32x+32, is (x+2) a factor of f(x).
Angelina_Jolie [31]

Answer:

No

Step-by-step explanation:

By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0

f(- 2)

= 2(-2)^{6} + -2)^{5} + 32(- 2) + 32

= 2(64) - 32 - 64 + 32

= 128 - 32 - 64 + 32

= 64 ≠ 0

Hence (x + 2) is not a factor of f(x)

4 0
3 years ago
Read 2 more answers
Can I PLEASE get some help?
V125BC [204]
The 1st and 3rd choices are irrational.  The other 2 are rational.  Irrational numbers are numbers that you can't make a simple fraction out of.
7 0
3 years ago
23. The pilot of a small private plane can look forward and see the control tower for a small airstrip.
Alex73 [517]

Answer:

Altitude of the plane is 0.5 miles.

Step-by-step explanation:

From the figure attached,

An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.

Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.

We have to calculate the airplane's altitude h.

From ΔABF,

tan4.1 = \frac{AB}{BF}=\frac{h}{(x+4.8)}

h = 0.07168(x + 4.8) -----(1)

From ΔABD,

tan13.1 = \frac{h}{x}

h = 0.2327x -----(2)

From equation (1) and (2),

0.07168(x + 4.8) = 0.2327x

0.2327x - 0.07168x = 4.8×0.07168

0.161x = 0.344

x = \frac{0.344}{0.161}=2.14 miles

From equation (2),

h = 0.2327×2.137

h = 0.4972 miles

h ≈ 0.5 miles

Therefore, 0.5 miles is the altitude of the plane.

6 0
2 years ago
The original price of a computer was reduced by 120 dollars. The new,
wariber [46]

Answer:

x-120=899

Step-by-step explanation:

(x=1019)

4 0
2 years ago
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