1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kobusy [5.1K]
3 years ago
6

X^2- 4x- 12 = 0 Solve by factoring and solve by completing the square​

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Use the formula (b/2)^2 in order to create a new term. Solve for by using this term to complete the square.

Cannot solve by completing the square.

You might be interested in
Solve for y please help!!!!!
mrs_skeptik [129]

Answer:

148

Step-by-step explanation:

3p + 85 +2p -10 =180

5p+75=180

5p=105

p=21

3p+85

3(21)+85=148

3 0
3 years ago
What is 4.8x ten to the power of 8
dangina [55]
480,000,000 (480 million)
3 0
3 years ago
g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur
sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

\displaystyle V = \pi r^2h

Substitute:

\displaystyle (300) = \pi r^2 h

Solve for <em>h: </em>

\displaystyle \frac{300}{\pi r^2} = h

Recall that the surface area of a cylinder is given by:

\displaystyle A = 2\pi r^2 + 2\pi rh

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r}  \end{aligned}

Find its derivative:

\displaystyle A' = 4\pi r - \frac{600}{r^2}

Solve for its zero(s):

\displaystyle \begin{aligned} (0) &= 4\pi r  - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

\displaystyle  \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2}  \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm}   \end{aligned}

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0
3 years ago
The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0
3 years ago
In the graph of An inequality, the area above a solid line through the point (-5,2) and (3,2) is shaded. Which inequality does t
allochka39001 [22]

The inequality shown by this graph is  y ≥ 2.

<h3>Describe inequality.</h3>

the relationship between two non-equal expressions using a symbol like "not equal to," ≠ "greater than >," or "less than <  "

The inequality sign : ≥ or ≤ to use is: or because the line is solid and not dotted.

Given that the points have y-coordinate values of 2, (-5, 2), and (3, 2), respectively, and that the line crosses the y-axis at this point, the proper inequality is:

y ≥ 2

Therefore, y ≥  2 is the inequality.

To learn more about inequality from the given link:

brainly.com/question/18698351

#SPJ10

8 0
11 months ago
Other questions:
  • The cost of 10 oranges is $1.00.What is the cost of 5 dozen oranges?
    11·1 answer
  • Which is an equation of the circle with a radius of 9 units and center at (–4, 2)?
    8·1 answer
  • What is 10+100+3554?
    14·1 answer
  • Can you please tell me What is 25x4
    7·2 answers
  • A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
    8·1 answer
  • Rewrite 5V4•V2 as a single radical.
    11·1 answer
  • What is the trigonometric ratio for sin C ?<br><br> Enter your answer, as a simplified fraction.
    12·1 answer
  • Write the following expression in words 8+1/2*(9-3)
    15·1 answer
  • Help me please past due! Complete all 5 problems in simplest form and tell me what you did
    8·1 answer
  • 81x-27=81x−27<br><br> what<br> is the answer
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!