All categories

2 years ago

What value of x is in the solution set of 9(2x + 1) < 9x - 18? -4 -3 -2 -1

Mathematics

2 answers:

Anastaziya [24]2 years ago

8 0

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.

Natali5045456 [20]2 years ago

3 0

Step-by-step explanation:

You might be interested in

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to

Dmitry [639]

This question is incomplete- no bar chart was included.

The complete question was gotten from google.

Open the attachment below to see the bar chart'

Answer:

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to provide streaming content online. Is this the bar chart of a categorical variable, or is it a time plot that uses bars to show the data? It is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

Step-by-step explanation:

The chart used in the newspaper to illustrate the rising amounts that a video rental company spends to provide streaming content online is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

6 0

3 years ago

Which symbol correctly compares the two angle measures?

Vlad [161]

I think the answer is b

7 0

3 years ago

Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

7 0

3 years ago

A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The

Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is $\pi r^{2}$ .

inner circle: $A=\pi 2^{2}=12.566$
for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: $A=(\pi 4^{2} )-12.566=37.699$

Calculating greater chance:

Divide the larger area by the smaller area:

$37.699/12.566 = 3$

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

7 0

3 years ago

What number set does -3.8 belong in

Lerok [7]

Answer:

real number and rational number

Step-by-step explanation:

I infer that by number set you mean what kind of number it is. It is real because it is -3.8 and rational because it is terminating. It is not a integer, whole number, or natural number because -3.8 is a decimal

8 0

3 years ago