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lions [1.4K]
3 years ago
15

Here it is^ algebra 1

Mathematics
1 answer:
Kamila [148]3 years ago
3 0
Is (2,4) a solution for y <= 3x -1 ??
answer : No
x = 2, replace it in the equation
y <= 3(2) - 1
y<= 5
--_(2,5)
y = 4, again replace it in equation
4 <= 3x - 1
3x <= 5
x <= 5/3
--_(5/3,4)

You might be interested in
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
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

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 is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

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 ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
Which numbers below are solutions to the inequality 4y+3≤−7?
MariettaO [177]

Answer:

answer is in picture

Step-by-step explanation:

4 0
3 years ago
I need help you don't have to explain the answer I just need it, thank you!
denpristay [2]

Answer:

j = 10

Step-by-step explanation:

You add 7 to both sides then divide both sides by -2

6 0
3 years ago
What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we
kogti [31]

Answer:

x = - \frac{1}{2}, x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± \sqrt{49} = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = \frac{-2}{4} = - \frac{1}{2}

or

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \frac{1}{2}

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0
3 years ago
Which of the following is a correct equation for the line passing through the point (-3,2)and having slope m=2/3
natta225 [31]

Correct answers are

B = y-2=2/3(x+3)

D = 2x-3y=-12

A = y=2/3x+4

5 0
3 years ago
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