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3 years ago

What are two numbers that when multiplied equal -30 and when added together equal 1?

Mathematics

2 answers:

UkoKoshka [18]3 years ago

5 0

Answer:

5 and 6

Step-by-step explanation:

-5 x 6 = -30

-5 + (6) = 1

x2 + 1x - 30 = 0

(X - 5 ) (X + 6)

To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:

x2 + 1x - 30 = (X - 5 ) (X + 6)

s2008m [1.1K]3 years ago

4 0

The answer is 6 and -5

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Match each power of a power expression with its simplified expression.

VARVARA [1.3K]

Answer:

> $(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $(-4) ^ {-18}$

Step-by-step explanation:

We have to expand the powers of each of them:

> $(4^6)^{-3}$ = $4^{(6 * -3)}$

= $4 ^ {-18}$

$(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ {(-3 * -3)}$

$(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^ {(0 * -9)}$

$(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $-4 ^ {( -9 * 2)}$

$(-4^{-9})^2$ = $-4 ^ {-18}$

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2 years ago

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The table below shows the data for a random sample of fish that were collected from and later released into a lake: Catfish-52 G

castortr0y [4]

208 is the answer
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6 0

3 years ago

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What is the slope of all lines parallel to the line 4x-5y+-1?

Bond [772]

Given equation of the line ,

$\implies 4x - 5y +(-1) = 0$

Simplify ,

$\implies 4x - 5y - 1 = 0$

Transpose terms to RHS ,

$\implies 5y = 4x - 1$

Divide both sides by 5 ,

$\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}$

Now we know the slope intercept form of the line as $y = mx + c$ we have ,

$m =\dfrac{4}{5}$

As we know that the slope of all parallel lines are same . Henceforth ,

$m_{|| \ lines } =\dfrac{4}{5}$

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2 years ago

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the se

Gre4nikov [31]

Given:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.

To find:

The graph that represents the set of heights that satisfy this requirement.

Solution:

Let x be the height required for the ride.

Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

$x\geq 54$

So, 54 and all values above 54 are in the solution set.

Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.

Therefore, the correct option is C.

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2 years ago

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Dennis has three identical cylinders filled with water. How many cones should he be able to fill with the water if the cones

Brut [27]

Answer:

3 cylinder will fill 9 cones with water

Step-by-step explanation:

This problem bothers on mensuration of slides, cone and cylinder

We know that the

Volume of a cylinder = πr²h

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Given that both cylinder and cone has same height and radius

From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume

So if 1 cylinder will fill 3 cones

Then 3 cylinders will fill x cones

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x= 3*3cones

x= 9 cones

Hence 3 cylinder will fill 9 cones with water

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2 years ago

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