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mars1129 [50]
3 years ago
7

Is -9 a solution to 19>8u+3

Mathematics
2 answers:
iVinArrow [24]3 years ago
4 0
8u+3<19  subtract 3 from both sides

8u<16  divide both sides by 8

u<2 so

-9 is in the solution set u=(-oo, 2)
Irina18 [472]3 years ago
3 0
1 Subtract 3 from both sides

<span><span>19−3>8u</span>
2 Simplify 19-3 to <span>16

</span>16>8<span>u
</span>
3 Divide both sides by <span>8

16/8 > u

</span>4 Simplify 16/8 to 2

2 > u

5 Switch sides

u < 2

I hope this helps. :)


</span>
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Find the radius of a circle with a circumference of 45(pi)cm
ycow [4]

Answer:

22.5 cm

Step-by-step explanation:

We know, that the formula for the circumference of a circle is d*pi or 2 * r * pi

So we know 45 = diameter. Meaning r = 22.5

5 0
3 years ago
Can the sides of a triangle have lengths 8.6, 6.6, and 3.3?<br> yes<br> no
Ad libitum [116K]

Answer:

Yes

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must exceed the length of the third side.

8.6+6.6>3.3 is true

6.6+3.3>8.6 is true

3.3+8.6>6.6 is true

7 0
3 years ago
A model rocket is launched from the top of a building. The height (in meters) of the rocket above the grown is given by h(t)=-6t
Iteru [2.4K]

Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=-6t^2+30t+10

h'(t)=-12t+30

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=\frac{5}{2}

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=-6(2.5)^2+30(2.5)+10

=-37.5+75+10

=47.5

5 0
3 years ago
Find the midpoint of the segment having endpoints (0 ,1/8) and (-4/5 ,0)
kvasek [131]

Answer:

Mid point of the given end points = (\frac{-2}{5},\frac{1}{16} )

Step-by-step explanation:

Given the end points of the line segment are :

(0, \frac{1}{8}) & (\frac{-4}{5},0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = (\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )

now put the value of x₁ = 0

x₂ = \frac{-4}{5}

y₁ = \frac{1}{8}

y₂ = 0

mid point = (\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})

                = (\frac{-2}{5},\frac{1}{16} )

That's the final answer.

3 0
3 years ago
Booker owns 85 video games. He has 3 shelves to put on the games on . Each shelf can hold 40 video games . how much room dose he
solong [7]
So if each shelf can hold up to 40 games all together he can keep 3(40) games which is 120 games and he already has 85 video games so 120-85 will be 35. so he can keep 35 more games.
8 0
3 years ago
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