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
mestny [16]
3 years ago
15

Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

Step-by-step explanation:

Given

f(b) = b^2 - 75

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

0 = b^2 - 75

Add 75 to both sides

75 + 0 = b^2 - 75 + 75

75 = b^2

Take square roots of both sides

\sqrt{75} = \sqrt{b^2}

\sqrt{75} = b

Reorder

b = \sqrt{75}

Expand 75 as a product of 25 and 3

b = \sqrt{25*3}

Split the expression

b = \sqrt{25} *\sqrt{3}

b = \±5 *\sqrt{3}

b = \±5 \sqrt{3}

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

The options are not clear enough; however the roots of the equation are b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

You might be interested in
1. *
julsineya [31]

Answer:

Her multiplication

Step-by-step explanation:

Not really an aexplanation

8 0
3 years ago
Which of the following is the value of f(-4) in the function f(x) = -2x - 3?<br><br> no links
Scilla [17]

Answer:

5

Step-by-step explanation:

f(-4)= -2(-4)-3

=8-3

=5

8 0
3 years ago
Mia's cat weighs 13 lbs and 7 ounces about what is the weight in kilograms
r-ruslan [8.4K]
6.37864 kilo ... hopefully thats helpful!
6 0
3 years ago
Read 2 more answers
Please help me!
Vinil7 [7]
It’s the set of all possible outcomes
7 0
3 years ago
Read 2 more answers
Two angles form a complementary pair (sum is 90 degrees) one angle is 3x - 10 and the other angle is x + 8. Write an equation an
Whitepunk [10]
3x-10+x+8=90
4×-2=90
4x=92
X=23

One angle is 31. 23+8
The second one is 59. 3 (23)-10
7 0
3 years ago
Other questions:
  • Jeremy put pepperoni on half of a pizza. He put olives on 1/3 of the pizza. What fraction of the pizza did not have pepperoni?
    13·1 answer
  • Suppose there are 20 questions on a multiple choice test.if 25%of the answers are choice B how many of the answers are not choic
    11·2 answers
  • Identify a pair of vertical angles in the figure
    15·1 answer
  • What is the value of the expression 4x−y/2y x when x = 3 and y = 3? −3 1 9 18
    7·1 answer
  • How can you convert 11/50th to 0.22
    10·2 answers
  • Which statement correctly describes the function?
    10·1 answer
  • I NEED HELP PLEASE!!!
    12·1 answer
  • I need help bad I don’t understand it I’m struggling bad I need help
    13·2 answers
  • Determine if the function represented by the table is linear.
    13·2 answers
  • A Ferris vil can accommodate 55 people in 15 minute how many people could ride the Ferris ville in 2 hours what is the rate per
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!