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3 years ago

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

Mathematics

1 answer:

iris [78.8K]3 years ago

4 0

Answer:

x=4 and x= - 5

Step-by-step explanation:

In order to solve this we should re-arrange the equation:

$(x-4)(x+5)=\frac{0}{3}$

This is equal to:

$(x-4)(x+5)=0$

Then we can seperate this into:

$(x-4)=0\\(x+5)=0$

So solving for x in both cases we get

$x-4=0 \\x=4\\And\\x+5=0\\x=-5\\$

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This is a true or false answer please help me**

Nitella [24]

Answer:

5False

6 true

7 true

Step-by-step explanation:

5 Complementary angles add to 90 degrees not 180 degrees

6 40+50 = 90 so they are complementary

7 Supplementary angles add to 180

145+x = 180

Subtract 145 from each side

145-145 +x = 180-145

x = 35

3 0

3 years ago

Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

<u>Volume of the grapefruit</u>

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

<u> Volume of the lime</u>

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

8 0

3 years ago

Vladimir rolls a six-sided number cube 36 times. If getting a 3 is a success, what is the probability of a success?

grin007 [14]

Answer: 12

Step-by-step explanation:

4 0

3 years ago

Which formula can be used to describe the sequence?

alexdok [17]

Answer:

f(x+1) = -3/4 × f(x)

Step-by-step explanation:

first of all, the sign of the numbers in the sequence is alternating. so, there must be a "-" involved.

that eliminates the first and third answer options.

and the absolute values of the numbers in the sequence are going down. |f(x+1)| < |f(x)|

that eliminates the fourth answer option, as this says that

|f(x)| < |f(x+1)|. and that is the opposite of how the actual sequence behaves.

7 0

3 years ago

If it takes one minute to run 130 meters how long will it take to run 1494.23 meters

Rus_ich [418]

We have to see how many times 130 fits into 1494.23:

$1494.23/130=11.4940....$

So now we have to multiply this by the amount of time needed for 130 meters:
11.4940*1=11.4940.

So the answer is 11.4940 minutes.

4 0

3 years ago

Read 2 more answers