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
Stells [14]
3 years ago
11

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

Mathematics
2 answers:
blondinia [14]3 years ago
5 0
The\ zeros\ of\ a\ function\ f(x)\ is\ when\ f(x)=0.\\------------------------\\f(x)=(x+2)^2-25\\the\ zeros,\ if\ f(x)=0\iff(x+2)^2-25=0\\\\(x+2)^2-5^2=0\ \ \ \ |use\ a^2-b^2=(a-b)(a+b)\\\\(x+2-5)(x+2+5)=0\\\\(x-3)(x+7)=0\iff x-3=0\ or\ x+7=0\\\\x-3=0\ \ \ |add\ 3\ to\ both\ sides\\\boxed{x=3}\\or\\x+7=0\ \ \ \ \ |subtract\ 7\ from\ both\ sides\\\boxed{x=-7}\\\\Answer:\boxed{(4)\ -7\ and\ 3}
grandymaker [24]3 years ago
4 0
f(x) = 0

_________________________________________________________

1) 

<u>İf    x=-2,</u>

f(-2) =  ((-2) + 2 ) ^{2} -25 = 0-25 = -25

f(x) ≠ 0

<u>If   x= 5</u>

f(5) =  (5+2)^{2} - 25 = 49 - 25 = 24

f(x) ≠ 0
____________________________________________________________

2)  

<u>If  x= -3</u>

f(-3) =  ((-3) + 2) ^{2} - 25 = 1 -25 =-24

f(x) ≠ 0

<u>If  x= 7</u>

f(7) =  (7+2)^{2} - 25 = 81 - 25 = 56

f(x) ≠ 0

___________________________________________________________

3)

<u>If  x= -5</u>

f(-5) =  ((-5)+2)^{2} - 25 = 9-25 = -16

f(x) ≠ 0

<u>If  x= 2</u>

f(2) =  (2+2)^{2} - 25 = 16-25 = -9

f(x) ≠ 0
_____________________________________________________________

4) 

<u>If  x= -7</u>

f(-7) =  ((-7) +2 )^{2}  - 25 = 25-25 =0

f(x) =0 <span> ✔</span>

<u>If  x= 3</u>

f(3) =  (3+2)^{2} - 25 = 25-25 =0

f(x) =0 <span> ✔
</span>
_________________________________________________________

Answer: 4
You might be interested in
Find the measure of angle d.<br> d°
QveST [7]

Answer:

Need points sorry <3

Step-by-step explanation:

3 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Yakvenalex [24]

The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

<h3>What is Inequalities?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

3 0
2 years ago
Charles is walking arounda fountain that has a circumference of 124ft .what is the diameter of the fountain?
Dovator [93]
Hello.

To find the diameter you use this equation:
Radias<span>cm x 2/pie
</span>
So it would be 124=π*d
d=124/π

So the answer would be :
d=39.47=39.4 feet

Have a nice day
6 0
3 years ago
Read 2 more answers
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to
9966 [12]

Answer: the x-intercept of the fuction is 13 which represents the number of hours unit

All the snow has melted

Step-by-step explanation:

4 0
3 years ago
What is the percent of change? Is it an increase or a decrease? 100 to 150
grandymaker [24]

Answer:

50% increase

Step-by-step explanation:

% change = (new value-initial value)/initial value x 100

= (150-100)/100 x 100 = 50%

3 0
4 years ago
Other questions:
  • 35 year old female. 5’8', 220 pounds. Calculate Adjusted Body Weight. (Round to the nearest tenth if applicable): ________
    7·1 answer
  • Find the area of the triangle that divides the parallelogram in half.​
    13·1 answer
  • What is this song of 2.5 x 10 to the 4th power + 3.4 * 10 to the 4th power
    15·1 answer
  • larry made 4 batches of punch.each batch uses 16 fluid oz of lemon juice and 3 pints of orange juice.if eacg serving is 1 cup,ho
    5·1 answer
  • The spring of a spring balance is 6.0 in. long when there is no weight on the balance, and it is 8.3 in. long with 9.0 lb hung f
    6·1 answer
  • Please help 10 points!!!
    5·2 answers
  • What is the perimeter of a triangle with vertices of (5,1) (-3,3) (-7,-3)
    13·1 answer
  • What is the answer to my math problem
    15·1 answer
  • Solve this to help me
    13·1 answer
  • What is -341 degrees coterminal to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!