All categories

2 years ago

3 times a number is 10 less than the square of that number. Find the negative solution.

Mathematics

2 answers:

Lerok [7]2 years ago

6 0

Answer:-2

Step-by-step explanation: set up an equation

3x+10=x^2

x^2-3x-10=0

what multiplies to get 10 and adds to -3?

-5 and 2

(x-5)(x+2)=0

x-5=0 x+2=0

x=5 x=-2

The negative solution is -2

navik [9.2K]2 years ago

4 0

Answer:

-2

Step-by-step explanation:

3n = n² - 10

n² - 3n - 10 = 0

n² - 5n + 2n - 10 = 0

n(n - 5) + 2(n - 5) = 0

(n - 5)(n + 2) = 0

n = 5, -2

You might be interested in

At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25

denpristay [2]

Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 2.5<X<3.5 is equal to the blue area under the curve.

Step 2:

Since μ=3 and σ=0.25 we have:

P ( 2.5 < X < 3.5 ) =P ( 2.5−3 < X−μ < 3.5−3 )

⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)

Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:

P ( 2.5<X<3.5 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Percent of red lights last between 2.5 and 3.5 minutes is $0.9544(100) = 95.44$ % .

3 0

2 years ago

What is the following product? (StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)

Crank

Answer:

The product results in: $6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$ , which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

$(\sqrt{12} +\sqrt{6} )(\sqrt{6} -\sqrt{10} )=\\=\sqrt{12*6} -\sqrt{12*10} +\sqrt{6*6} -\sqrt{6*10} =\\=\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}$

and now, we extract as many factors we can from the roots to reduce them:

$\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60} =\\=6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$

5 0

2 years ago

Read 2 more answers

Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid

skelet666 [1.2K]

128 oz. in one gallon. 35 cups of 12 oz. equals 420 oz. 420 divided by 128 equals 3.28 so youll need 4 bottles. D.

4 0

2 years ago

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,

Karo-lina-s [1.5K]

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves = 1.5 $\times$ 100

= 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 $\times$ 150

= 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

8 0

2 years ago

Read 2 more answers

The number x of bottles of garden plant fungicide sold by a garden center each day was recorded with the following results:

valentinak56 [21]

.426 i am pretty sure

5 0

2 years ago