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3 years ago

Simplify the expression, eliminate negative exponents. (x^2)(x^7)(x^-3) =

Mathematics

1 answer:

Marrrta [24]3 years ago

4 0

Since all the terms have the same base you just deal with the exponents.

(X^2)(x^7)=x^9

X^9(x^-3)=x^9/x^3=x^6

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It is known that x=7 is a root of the equation ax^2 + bx + 2= 0, where a<0. Solve the inequality ax²4 +bx^2 + 2>0.

kap26 [50]

Answer:

2/(7a) < x < 7

Step-by-step explanation:

The product of roots of ax² +bx +c is c/a. In this case, that means the second root of the equation is ...

... 2/(7a)

Since a < 0, the parabola opens downward and 2/(7a) < 0. The quadratic function will be positive between the two roots, on the interval ...

... 2/(7a) < x < 7

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4 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

Gelneren [198K]

Answer:

$v_2 \approx 1.12246\ m.s^{-1}$

$v_{10}\approx 1.4678\ m.s^{-1}$

$v_{100}\approx 1.4678\ m.s^{-1}$

Step-by-step explanation:

Mass of particles that a river can transport, $m\propto\ v^6$

where:

v = velocity of river flow

When $v=1\ m.s$

then the mass transported, $m \propto 1^6$

When mass is twice:

$v=\sqrt[6]{2}$

$v_2 \approx 1.12246\ m.s^{-1}$

When mass is 10 times:

$v=\sqrt[6]{10}$

$v_{10}\approx 1.4678\ m.s^{-1}$

When mass is 100 times:

$v=\sqrt[6]{100}$

$v_{100}\approx 1.4678\ m.s^{-1}$

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3 years ago

Solve for h. 2 < -19 - 7h

Sunny_sXe [5.5K]

Answer:

h < -3

Step-by-step explanation:

2 < -19 -7h

or 19 + 2 < -7h

or 21 < -7h

or 21/(-7) > h [flip the sign when dividing with negative Number ]

∴ -3 > h ( h < -3 )

hoping that this will help you

Please Mark as Brainliest...

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2 years ago

Read 2 more answers

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Vladimir79 [104]

Answer:

The slope is -3

Step-by-step explanation:

Count from A to B downwards which is 3 but since we're counting down it's a negative 3. Then from that spot count how many spaces you are from B which is 1. So its -3/1 which is -3. Basically rise/run

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3 years ago

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A wheelchair access ramp has an angle of elevation of 31 degrees. If the ramp reaches to the top of a 42 inch high porch, how lo

mixas84 [53]

Answer:

Step-by-step explanation:

sin 31 = 42/x

x sin 31 = 42

x = (sin 31)/42

6 0

3 years ago