All categories

3 years ago

Solve: –3x – 24 ≤ –36 what is x equal to?

Mathematics

2 answers:

Kay [80]3 years ago

6 0

Answer:

X <= 4

Step-by-step explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4

e-lub [12.9K]3 years ago

6 0

Answer:

x ≥ 4

Step-by-step explanation:

To solve this inequality, we are going to follow the steps below;

first add 24 to both-side of the inequality

–3x – 24 ≤ –36

-3x - 24 + 24 ≤ -36 + 24

-24 + 24 will give us zero, hence our inequality becomes;

-3x ≤ -12

Divide both-side of the inequality by -3.

You should note that whenever you are dividing both-side of inequality by a negative sign, the inequality sign will change, if it is "≤" it becomes"≥" and if it is "≥" it becomes "≤".

-3x/-3 ≤ -12/-3

x ≥ 4

You might be interested in

PLS HELP THIS IS HARD ANYONE PLS

Valentin [98]

This question is very oddly worded. The domain is the set of x-values, but this is a set of (x,y) ordered pairs.

I'm reading this question as "Here's a function, { (1,5), (2,1), (-1,-7) }. If this is reflected over the x-axis, what's the range?"

Assuming that is the question that is meant to be asked, reflecting a function over the x-axis will just change the signs of the y-values.

(1,5) -> (1,–5)

(2,1) -> (2,–1)

(-1,-7) -> (-1,+7)

I'd pick the third option.

6 0

3 years ago

Evaluate the expression when a = 2. a^2+7a+7

Galina-37 [17]

Answer:

Step-by-step explanation:

a² + 7a + 7

a = 2

Plug in the value of 2 for every occurance of a.

(2)² + 7(2) + 7

First, solve the exponent.

4 + 7(2) + 7

Now, multiply.

4 + 14 + 7.

Add.

This is your answer.

Hope this helps!

7 0

3 years ago

Rosa is attending an event where prizes are being given away. The probability of winning a T‐shirt is 0.89 and the probability o

vagabundo [1.1K]

Answer:

It is very likely that Rosa wins both prizes.

Step-by-step explanation:

The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?

We have these three possibe outcomes.

Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)

Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).

Win both.

$p = 0.89*0.95 + 0.11*0.05 + 0.89*0.05 = 0.8955$

0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:

It is very likely that Rosa wins both prizes.

5 0

3 years ago

Ed has 76 red and yellow tulips. there 28 red tulips. how many tulips are yellow

lukranit [14]

There are 48 yellow tulips because 76-28 =48

6 0

3 years ago

Read 2 more answers

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0

2 years ago

Read 2 more answers