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
ICE Princess25 [194]
4 years ago
13

How do you solve this

Mathematics
2 answers:
Zepler [3.9K]4 years ago
8 0
Simple...

you have: 2x^{2} -9x+16=6

To even begin, set all terms to the left side and set the parabola equal to zero-->>

2x^{2} -9x+10

Now, you can factor!

What multiplies to 20 and adds to -9?

-5*-4=20

-5+-4=-9

Then, using the box method...

x=\frac{5}{2} ,2

Thus, your answer.
SVEN [57.7K]4 years ago
4 0
2x^2 - 9x + 16 = 6
2x^2 - 9x + 16 - 6 = 0
2x^2 - 9x + 10 = 0
(2x - 5)(x - 2) = 0

2x - 5 = 0
     2x = 5
       x = 5/2
       x = 2.5

x - 2 = 0
     x = 2

answer x = 2 and x = 2.5
You might be interested in
A bookstore owner has 48 science fiction books and 30 mysteries.He wants the most books possible in each package, but all packag
likoan [24]
<span>The bookstore owner can make six packages. There will be eight science fiction books and five mystery books in each package. This is because 6 is the highest common factor of both 48 and 30, and 6 x 8 = 48 and 6 x 5 = 30.</span>
4 0
3 years ago
Read 2 more answers
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0
3 years ago
In the formula, C = (F - 32) * 5/9, the letter "F" is known as which of the following?
const2013 [10]

Answer:

A.Symbol because f stands for fahrenheit

5 0
3 years ago
At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
3 years ago
When finding the slope of the trend line, what does the slope mean about the data of the scatterplot? Explain.
faust18 [17]

Sample Response: The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the y-intercept of the function, represented by the table of values
    8·1 answer
  • What is the image of (-5, -1) after a reflection over the x-axis?​
    15·2 answers
  • Can someone help? I really need it
    8·1 answer
  • Matt uses a compass and straightedge to construct parallel lines. Annie uses technology to construct parallel lines. In your own
    13·1 answer
  • You are creating concrete planters for a
    8·1 answer
  • Y+3=−4(x+7)<br> what is the slope&gt;
    10·2 answers
  • Help me with this please
    15·1 answer
  • ANSWER FAST FOR 50 POINTS!!!!!!
    9·2 answers
  • help pls i have 7 of these question 100 points there is a part 2 to this question i will be making another one 100 points as wel
    15·2 answers
  • Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ = 151.5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!