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
Jonus watches the second hand on an analog clock as it moves past the numbers. What is the
slega [8]

Answer:1/12 or 8.3

Step-by-step explanation:

5 0
3 years ago
Solve the following equation: 156 + (7 – 3) x 7 = A. 174 B. 184 C. 1,050 D. 1,120
V125BC [204]
Using BEDMAS you follow the structure of what processes you need to do in the right mathematical order.

In this case, Brackets first, multiplication second, then adding.

Therefore answer he answer is C 184
8 0
3 years ago
Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. ty 150 1501 ofy y 디
Angelina_Jolie [31]

Since we are asked for tge graph that represent the total cost for the x numbers of lesson, it will be helpful to illustrate it first this way

for each lesson it will cost $30 dollars

1 lesson $30

2 lessons $60

3 lessons $90

4 lessons $120

5 lessons $150

So from this set of numbers , it is apparent that the grqph in letter c represents the total costs for x numbers of lessonsseethati

3 0
1 year ago
Help please ASAP !!!!!!
Mashcka [7]
A ∩ B = {2, 4}                [intersection (∩) means the common terms]
7 0
3 years ago
What are the next two terms in the pattern 3, 6, 5, 10, 18, 17...?
Evgen [1.6K]
20 and 19 because you just need to follow the pattern.
3 0
3 years ago
Other questions:
  • While exercising, Carly burns 450 calories per hour biking and 620 calories per hour playing racquetball. Sarah burns 560 calori
    7·1 answer
  • Simplify 8^2/3 x 2^-1/3
    14·1 answer
  • 5/12 0.12 19/50 least to greatest
    9·1 answer
  • Does anyone know What is x+7=-7x-8
    13·1 answer
  • 15 points! Thanks so much!!
    8·2 answers
  • What is the temperature change from 44 degrees Fahrenheit to -56 degrees Fahrenheit?
    7·1 answer
  • Pls help need the answers quick ?!?!?!
    15·2 answers
  • Don't know how to express the value of X as any of those answer choices
    7·1 answer
  • HELP I WILL GIVE BRAINLIEST I PROMISE
    14·2 answers
  • Please help explanation if possible
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!