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
Alla [95]
3 years ago
12

Find the x-intercepts for the quadratic function y= -1/2(x+3)^2 +4

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

x= -3 +√2 ≈ -0.1716,  and x = - 3 -2√2 ≈ -5.8284

Step-by-step explanation:

y= -1/2(x+3)² +4

For x -intercept, y = 0.

0 = - 1/2(x+3)² + 4 /*(-2)

0 = (x+3)² - 8

(x+3)² = 8

√(x+3)² = +/-√8

x+3 = +/-√8

x = - 3+/- 2√2

x= -3 +√2 ≈ -0.1716,  and x = - 3-2√2 ≈ -5.8284

You might be interested in
Kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is
koban [17]

If the number of days is d and he writes 3 pages for every d, then we can say

3d = 81

3 0
3 years ago
2
docker41 [41]

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

E=142990 \times 7.8\\\\=1115322

The magnitude of claimed earthquake is 1115322 .

8 0
3 years ago
Type the equation that shows the pattern among this set of ordered pairs.
Ludmilka [50]
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
m=-4
So equation of this line is: y=-4x+4 

4 0
3 years ago
A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radiu
Alisiya [41]

Answer: 219.94\ cm^2

Step-by-step explanation:

Given

The central angle of a sector measures 175^{\circ}

The radius of the circle is r=12\ cm

The area of the sector is given by

\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2

Insert the values

\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2

8 0
3 years ago
Solve this Algebra problem please, I can't figure it out.
vladimir1956 [14]

Answer:

  • 45927/4096

Step-by-step explanation:

<u>Given is the geometric series, because the ratio of consecutive terms is common:</u>

  • r = 84/112 = 63/84 = 3/4

The first term is 112.

<u>So the nth term is:</u>

  • t_n = t_1*r^{n-1}

<u>The 9th term is:</u>

  • t_9 = 112*(3/4)^8=45927/4096
8 0
2 years ago
Other questions:
  • 85% of what number is 10.2
    7·1 answer
  • the original cost of a piano is 19,100 and it is on a sale for 19% off its original price if the total l cost includes a 5% sale
    15·2 answers
  • Nikooa buys a bouquet of 8 sunflowers for $18. <br><br> What is the cost of 1 sunflower?
    14·2 answers
  • 58 yd<br> 73 yd<br> Use 3.14 Instead Of Pie Symbol
    5·1 answer
  • Robert is writing a paper for language arts class. He can write of a page in of an hour. At what rate is Robert writing?
    10·1 answer
  • PLEASE HELP ASAP‼️‼️
    8·2 answers
  • Number 8 please it will help a lot
    13·1 answer
  • Can someone please help me with questions 12 through 14 with the answer correct I was trying but I don’t know what I put down is
    10·1 answer
  • this line? 10. A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line?​
    9·1 answer
  • Any number which is divisible by both 3 and 5 must…..
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!