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mixer [17]
3 years ago
10

Please help! i don't understand

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
(6x+30)° = (9x-15)°
-30 -30
(6x)° = (9x -45)°
-9x -9x
-3x = -45
÷-3 ÷-3
x = 15
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Solve for x -6 >_ 10 - 4x
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We are given this inequality,

-6\geq10-4x

We will follow these steps to solve it:

Step 1:

First let us bring 10 to the left side.

10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get

-6-10\geq-4x

-16\geq-4x

Step 2:

Next we have to eliminate -4 which is in multiplication with x on the right side.

So applying opposite operation of multiplication that is dividing both sides by -4.

We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.

\frac{-16}{-4}\leq x

x≥4

Answer is last option x≥4.

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A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the
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The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function , which is

h(t) =-t^2+\frac{4}{3}t+ \frac{1}{4}

When the grasshopper land on the ground,

h(t)=0

that is,

-t^2+\frac{4}{3}t+ \frac{1}{4}=0

Multiplying whole equation by 12 to get rid of denominators 3 and 4

-12t^2+16t +3=0

(3-2t)(6t+1)=0 \\ 3-2t=0 , 6t+1=0 \\ t= \frac{3}{2} , \frac{-1}{6}

And time cant be negative, so the correct option is

t = \frac{3}{2}=1.5 seconds

Correct option is C .

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36 doughnuts.
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Step-by-step explanation:

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