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3 years ago

Can some please help I’m stuck :(

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

Answer:

"I Only" is the correct answer

Step-by-step explanation:

Given inequality is:

-10>3x-6

In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.

So,

I . -10

Putting -10 in the inequality

$-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36$

The inequality results in true after putting x=-10 so -10 is the solution of inequality.

II. 5

Putting 5 in the inequality

$-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9$

The equality doesn't hold true for x=5 so 5 is not the solution of the problem.

III. -1

Putting -1 in the equation

$-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9$

Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.

Hence,

"I Only" is the correct answer as only -10 is the solution of inequality.

You might be interested in

What is -4/5 ÷ (-7/6) in simplest form ??

Orlov [11]

Answer:

$\frac{24}{35}$

Step-by-step explanation:

1) Remove parentheses.

$- \frac{4}{5} \div - \frac{7}{6}$

2) Use this rule: a ÷ b/c = a × c/b.

$- \frac{4}{5} \times \frac{6}{ - 7}$

3) Use this rule: a/b × c/d = ac/bd.

$- \frac{4 \times 6}{5 \times - 7}$

4) Simplify 4 × 6 to 24.

$- \frac{24}{5 \times - 7}$

5) Simplify 5 × -7 to -35.

$- \frac{24}{ - 35}$

6) Move the negative sing to the left.

$- ( - \frac{24}{35} )$

7) Remove parentheses.

$\frac{24}{35}$

Therefor, the answer is 24/35.

3 0

3 years ago

In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees. The base of the lig

elixir [45]

Answer:

412

feet

Step-by-step explanation:

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90°−27°

=63°

The distance to the boat is the side opposite the angle of

63°

while the height of the lighthouse is the adjacent side.

opposite

adjacent

=tan 63°

distance

210=tan 63°

distance=210×tan 63°=412 feet

7 0

3 years ago

Read 2 more answers

If R is the midpoint of QS, find QS. QR=5x-3 RS=21-x

steposvetlana [31]

Answer:

QS = 34

Step-by-step explanation:

if R is the midpoint, then the two divided segments are equal to each other.

5x - 3 = 21 - x

Add x

6x - 3 = 21

Add 3.

6x = 24

Divide 6.

x = 4

Substitute this x value into any equation.

5(4) - 3 = 20 - 3 = 17

So half of QS is 17.

QS = 17 * 2 = 34

4 0

3 years ago

Stuck on #3 Need help on formula

hram777 [196]

6x4= 24

24 possible outcomes

8 0

3 years ago

Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n

sveticcg [70]

Answer:

a) there is s such that r>s and s is positive

b) For any r>0 , there exists s>0 such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

3 0

3 years ago