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2 years ago

Solve this inequality (show your work), then graph the solution of the inequality. -4(x-1)<12

Mathematics

1 answer:

fiasKO [112]2 years ago

5 0

Answer:

x >-2

Step-by-step explanation:

-4(x-1)<12

Divide each side by -4, remembering to flip the inequality

-4/-4(x-1)<12/-4

x-1 > -3

Add 1 to each side

x-1+1 > -3+1

x >-2

open circle at -2

line extending to the right

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Rylee is learning about prime numbers in math class. Her friend ask her to name all prime number between 10 and 20. What numbers

Juli2301 [7.4K]

Answer:

11, 13, 17, 19

Step-by-step explanation:

If you look at the prime numbers chart between 10 and 20, there are:

11, 13, 17, 19

Those are all of the prime numbers that are between 10 and 20.

4 0

2 years ago

Simplify the expression.<br> (x 3/2)6

Sliva [168]

For this case we must simplify the following expression:

$(x ^ {\frac {3} {2}}) ^ 6$

We have that by definition of properties of powers that is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Then, rewriting the expression:

$x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9$

Answer:

$(x^{\frac{3}{2}})^6=x^9$

6 0

2 years ago

Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)

Akimi4 [234]

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

7 0

3 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

3 0

2 years ago

Find the surface area of the cone, use 3.14 for pi

seraphim [82]

To find the area of a cone you do A=πr(r+ $\sqrt{h^2 + r^2}$
Which give you the answer of 151.58

6 0

2 years ago

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