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4 years ago

For what values of x will 8+x to the third power be negative

Mathematics

1 answer:

Ganezh [65]4 years ago

6 0

(8+x)^3 < 0

take the cube root

8+x <0

subtract 8

x<-8

Answer x<-8

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part 3. Find the coordinates of the vertices of the triangle after a reflection across the y-axis and then across the line y= 2.

garik1379 [7]

Answer:

c. S'(3, 1), T'(1, -1), U'(0, 1)

Step-by-step explanation:

Reflection across the y-axis negates the x-coordinate, so is equivalent to the transformation ...

(x, y) ⇒ (-x, y)

Reflection across the horizontal line y=c is equivalent to the transformation ...

(x, y) ⇒ (x, 2c-y)

So, the combined reflections are equivalent to the transformation ...

(x, y) ⇒ (-x, 4 -y)

Then we have ...

S(-3, 3) ⇒ S'(-(-3), 4-3) = S'(3, 1)

T(-1, 5) ⇒ T'(-(-1), 4-5) = T'(1, -1)

U(0, 3) ⇒ U'(-(0), 4-3) = U'(0, 1) . . . . matches choice C

7 0

3 years ago

If (x, y) = (3, 4) is a solution of the simultaneous equations.

Vinvika [58]

The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24

Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7

Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.

Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.

4 0

3 years ago

What is the slope of the line passing through the points.

worty [1.4K]

Step-by-step explanation:

$1$

#Hopeitshelp

8 0

3 years ago

8.Which statement best describes the conditions for

frutty [35]

Answer:

7 0

3 years ago

Read 2 more answers

A card game goes like this: you draw a card from a 52-card deck. if it is a face card (jack, queen or king), you win $4; otherwi

GREYUIT [131]

Your expected value is -$0.62.

We multiply the probability of winning by the amount won. There are 12 face cards out of 52 cards, and the amount won is 4:

12/52(4)

We also multiply the probability of losing by the amount lost. There are 40 cards that are not face cards out of 52, and the amount lost is 2:

40(52)(-2)

Adding these, we have:

(12/52)(4)-(40/52)(2) = -0.62.

8 0

3 years ago