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2 years ago

Solve the inequality.

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

k < 28

Step-by-step explanation:

Given inequality :-

k + 4 - 2( k - 12 ) > 0
k + 4 - 2k + 24 > 0
-k + 28 > 0
28 > k
k < 28

Last Option is correct .

Nataly [62]2 years ago

4 0

k<28

Step 1: Simplify both sides of the inequality.

−k+28>0

Step 2: Subtract 28 from both sides.

−k+28−28>0−28

−k>−28

Step 3: Divide both sides by -1.

−k /−1 > −28 /−1

k<28

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Order the racers from first place to fifth place based on the clues.

tester [92]

Answer:

Jennifer - 1st

Susan - 2nd

Emily - 3rd

Janice - 4th

Maria - 5th

Step-by-step explanation:

Susan is 2nd.

Places 1, 3, 4, and 5 are left.

Janice and Jennifer both start with J. None of the other swimmers start with the same first letter. One is 1st and one is 4th.

Since Maria finished immediately after Janice, and Janice must be 1st or 4th, Janice can't be first since 2nd place is already taken. This means that Janice is 4th and Maria is 5th.

Places 1 and 3 are left.

We know Jennifer is 1st or 4th and since 4th is taken, Jennifer is first.

Place 3 is left.

Emily must be 3rd since that is the only spot left.

8 0

2 years ago

What is a circumference of a smaller circle the raduis of a smaller circle 3inch and the the raduis of a larger is circle is 7so

Art [367]

Answer:

18.85 inches.

Step-by-step explanation:

We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.

We know that circumference of a circle is equal to $2\pi r$ , where r represents radius of circle.

$\text{Circumference of smaller circle}=2\pi (3\text{ inches})$

$\text{Circumference of smaller circle}=6\pi\text{ inches}$

$\text{Circumference of smaller circle}=18.84955592\text{ inches}$

$\text{Circumference of smaller circle}\approx 18.85\text{ inches}$

Therefore, the circumference of smaller circle is approximately 18.85 inches.

8 0

3 years ago

3926%13. I got 309 r9. What is it and what did I do wrong.

kondaur [170]

3926/13 =302 but I'm not 100% sure where you went wrong do you have any work?

6 0

3 years ago

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0

2 years ago

Use the x-intercept method to find all real solutions of the equation -9^3-72^2-96x+36=3x^3+x^2-3x+8

Vadim26 [7]

Answer:

x ≈ 0.290640965127

Step-by-step explanation:

y subtracting the right side of the equation, we get a function that is zero at a real solution for x. The only x-intercept is at approximately 0.290640965127.

___

The graph shows the x-intercept to be 0.2906. The value above was obtained by Newton's method iteration. The roots of this cubic will all be irrational.

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2 years ago