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
Sophie [7]
3 years ago
15

The zeros of the function f(x)=(x+2)^2 - 25 are?

Mathematics
2 answers:
zloy xaker [14]3 years ago
5 0
<u>Zeros of the function</u>
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = <u>-(4) +/- √((4)² - 4(1)(-21))</u>
                      2(1)
x = <u>-4 +/- √(16 + 84)</u>
                   2
x = <u>-4 +/- √(100)
</u>               2<u>
</u>x = <u>-4 +/- 10
</u>            2<u>
</u>x = -2 <u>+</u> 5<u>
</u>x = -2 + 5    x = -2 - 5
x = 3           x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)

<u>Vertex</u>
<u>X - Intercept</u>
<u />-b/2a = -(4)/2(1) = -4/2 = -2

<u>Y - Intercept</u>
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)
<u />
Serjik [45]3 years ago
5 0
Y=x^2+4x+4-25
y=x^2+4x-21
y=(x+7)(x-3)
zeros are -7 and 3
You might be interested in
???????????????????????????????????????????????????????????????????????????????
garik1379 [7]

Answer:

Step-by-step explanation:

This problem is just really long- it's trying to confuse you with complicated wording. Here's it demystified:

a)

t = 0 degrees Celsius

d = 1500 meters

Find the temperature, T.

b)

d = 300 meters

T = 26 degrees Celsius

Find the ground temperature, t.

NOTE: The temperatures are different! T is the final temperature and t is the ground temperature.

3 0
3 years ago
What is the value of m in the equation 1/2m-3/4n when n = 8?
kirill [66]

Answer:

-\frac{1}{32}

Step-by-step explanation:

n = 8\\1/2(8) - 3/4(8) = 1/16-3/32

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

\frac{1}{16} *\frac{2}{2} =\frac{2}{32}

Then, subtract

\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}

3 0
3 years ago
All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The imperfect test gives positive resul
Nana76 [90]

Answer:

0.4%

Step-by-step explanation:

We have two independent events

  1. The athlete who is being tested for drugs actually is using steroids.
  2. The test went wrong indicating a false result.

The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".

The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"

Then the probability of 1) and 2) to happen is given by

P=P(1)*P(2)=(0.04)(0.1)=0.004=0.4%

3 0
3 years ago
Choose the graph that represents the equation y=x-2
amid [387]

Step-by-step explanation:

The choices are not given but the graph looks like the above picture.

8 0
2 years ago
Read 2 more answers
Y=-2x-8 rate of change
Shtirlitz [24]
The rate of change is -2
3 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the function ƒ( x ) = x 2 + 1 for ƒ(2).
    14·2 answers
  • The fourth term in an arithmetic sequence is 18 and the seventh term is 42. if the first term is a1, which is an equation for th
    12·2 answers
  • Help me por favor
    14·1 answer
  • Are the given lengths 24, 60, 66, sides of a right triangle?
    12·2 answers
  • In the circle m∠ACD=2x+14 and m∠ABD=3x+8<br> what is the value of x
    5·1 answer
  • What is the sum of 16.5 x 10 exponent 4
    7·2 answers
  • The graph of y = -3x + 4 is:
    11·1 answer
  • The endpoints of a segment are (0, –5) and (–3, –7). What are the endpoints of the segment after it has been translated 5 units
    7·1 answer
  • Is the number 8.25 a rational number or an irrational number
    10·2 answers
  • Write the word sentence as an equation: The quotient of a number cand 14 is 5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!