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11111nata11111 [884]
3 years ago
13

Solve for x in simplest radical form. 2x2 + 2x + 4 = x2 + 6x + 5

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

Answer:

x= √2 - 2 + √5-4√2, √2-2 - √5-4 √2



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Which graph of a relation is also a function ?
Illusion [34]

Answer:

B

Step-by-step explanation:

A graph is only a function when there is only one y value for each x value.

A trick is to draw a line through some points on the x-axis, and if the line goes through more than one point. Then it is not a function. (See picture)

Sorry, not all the lines are straight, but you get the point. B is the only one that doesn't have more than one point on the lines I drew.

3 0
3 years ago
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe
Nuetrik [128]

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

5 0
3 years ago
EXPRESS in power notation
lora16 [44]

Answer:

Solution given:

1:

-1/8=\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}

2. -64/27

=\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=<u>5/25</u>

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

7 0
3 years ago
Find X and Y. can someone please help me with this question, thank you
Arturiano [62]

3<em>x</em> + 120° + <em>x</em> + 120° = 360°

4<em>x</em> + 240° = 360°

4<em>x</em> = 120°

<em>x</em> = 30°

<em>y</em> = 1/2 (3<em>x</em> - <em>x</em>)

<em>y</em> = 1/2 (90° - 30°)

<em>y</em> = 1/2 × 60°

<em>y</em> = 30°

3 0
2 years ago
Write 2x - x2 = 1 in standard form.<br> An equation in standard form is
Marat540 [252]

Answer:

X^2-2X+1=0

Step-by-step explanation:

given,2X-X^2=1

or,-(X^2-2X)=1

or,X^2-2X=-1

or,X^2-2X+1=0 ,which is the req.equation in standard form.

6 0
3 years ago
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