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FinnZ [79.3K]
2 years ago
11

6

Mathematics
1 answer:
zalisa [80]2 years ago
5 0

Answer:

x < -7/3 or x > 5

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How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?
DiKsa [7]
Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3

evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3


pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4



4 cones

7 0
3 years ago
Question 7 of 10
Mama L [17]

Answer:

B

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real irrational roots

• If b² - 4ac > 0 and a perfect square then 2 real rational roots

• If b² - 4ac = 0 then 1 real double root

• If b² - 4ac < 0 then 2 complex roots

Given

x² + 3x - 7 = 0 ← in standard form

with a = 1, b = 3, c = - 7 , then

b² - 4ac

= 3² - (4 × 1 × - 7) = 9 + 28 = 37

Since b² - 4ac > 0 then 2 real irrational roots

8 0
3 years ago
Pre-Test
fiasKO [112]

Answer:

x5

Step-by-step explanation:

5 0
3 years ago
3/4x + 4/7y = 5/4x -1...solve for y​
Zielflug [23.3K]

Answer:

\frac{3}{4} x +  \frac{4}{7} y =  \frac{5}{4} x - 1 \\  \frac{4}{7} y =  \frac{5}{4} x - 1 - \frac{3}{4} x \\  \\  \frac{4}{7} y =  \frac{5x - 4 - 3x}{4}  \\  \frac{4}{7} y =  \frac{2x - 4}{4}  \\  \\ y = \frac{2x - 4}{4} \div   \frac{4}{7} \\ y =  \frac{2x - 4}{4} \times  \frac{7}{4}  \\  \\ y =  \frac{14x - 28}{16}  \\  \\ y =  \frac{14x}{16}  -  \frac{28}{16}

I hope I helped you^_^

5 0
2 years ago
Simplify. 6(23x–5)−7x−8
Basile [38]
The answer is 131x - 38.
8 0
3 years ago
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