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r-ruslan [8.4K]
3 years ago
7

Help me solve the Inequality Word Problem and solve ?

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
Let x represent the number
.. 1 +3x . . . . . . one more than three times a number
.. x -5 . . . . . . . the number decreased by 5

.. 1 +3x < x -5 . . . . the relation specified by the problem statement
.. 2x < -6 . . . . . . . subtract x+1
.. x < -3 . . . . . . . . . divide by the coefficient of x. (Positive, so < stays the same.)

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What is the value of g in 1/3s + 14 = 26
DerKrebs [107]

Answer:

s = 36

Step-by-step explanation:

So what you do is isolate the s.

1. Subtract 14 from both sides of equation. You should have:

1/3s = 12

2. To isolate the s, you multiply by 3 on both sides to get rid of the fraction on the left side. You should have:

s = 36

To verify, plug into original equation:

1/3*(36) + 14 = 26

1/3 * 36 = 36/3 = 12

12 +14 = 26

We can verify.

8 0
2 years ago
Read 2 more answers
A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His
sergejj [24]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

6 0
3 years ago
A,B and c lie on a straight line segment A , E and d lie on a straight line segment AB = 5cm AC= 30cm and EB = 4cm work out the
pav-90 [236]
I'm not sure, I don't no
4 0
3 years ago
Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C
kramer

Answer:

Length of base DE = 24 units

Step-by-step explanation:

Given:

In given triangle, right angle at D

SO,

Perpendicular of given triangle = 32 unit

Hypotenuse of given triangle = 40 unit

Find:

Length of base DE

Computation:

Using Pythagoras theorem

Base = √Hypotenuse² - Perpendicular²

Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²

Length of base DE = √40² - 32²

Length of base DE = √1,600 - 1,024

Length of base DE = √576

Length of base DE = 24 units

6 0
2 years ago
PLEASE HELP!!!!!!!!!!!!! 50 POINTS!!!!!!
a_sh-v [17]

Answer:

only one has the value of -12

Step-by-step explanation:

like what

7 0
3 years ago
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