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
Kobotan [32]
3 years ago
13

Solve the equation using the Quadratic Formula. x2 - 8x + 15 = 0 Select the correct choice below and, if necessary, fill in the

answer box to complete y​

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

x = (5,3)

Step-by-step explanation:

the quadratic formula is x =( -b±√(b^2-4ac))/2a

to solve for x, a=1, b=-8,c=15

x =( -(-8)±√((-8)^2-4*1*15))/2(1)

x=8 ± √(64-60))/2(1)

x=(8 ± √(4)) / 2

x=(8 ± 2) / 2

solve with '+'

x=(8 + 2) / 2 = 10/5 = 5

solve with '-'

x=(8 - 2) / 2 = 6/2 = 3

x = (5,3)

You might be interested in
Which represents a quadratic function ?
mars1129 [50]

Answer:

\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form f = ax^2 + bx + c, where a\neq 0

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of x^2 is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0
3 years ago
Read 2 more answers
When you reflect a shape, you (blank) over an axis or line.
igomit [66]

Answer:

poison

Step by Step Explanation

6 0
3 years ago
If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that
pogonyaev

Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested

Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)

Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)

\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)

Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250

\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250

5 0
4 years ago
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 feet and Grace threw it
stepan [7]
The team throw the javelin 81 feet
39+42=81
3 0
3 years ago
Read 2 more answers
Help meeeeee
prohojiy [21]

Answer:

1) 1/3

2) x/y +8

3) x*2+13

4) x+10

5 0
3 years ago
Other questions:
  • Given: m VKP =148° Find: m∠JPV
    14·1 answer
  • What is -2/5 as y=mx=b form or into slope intercept form
    9·1 answer
  • On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° . Which statements about the triang
    9·2 answers
  • Twins Bruno and Charlie both work at the same restaurant for an hourly rate. Bruno earns minimum wage as a dishwasher, while Cha
    15·1 answer
  • 8. 36.8 = [11.5 – (2.5 X 3)]2
    9·1 answer
  • 20 POINTS!! EASY QUESTION! WILL MARK BRAINLIEST!! READ THE INFO! THEN FILL IN THE BLANKS!
    13·2 answers
  • Jeremy is 15 years old. His father is 4 times as old as him now. In how many years time will their total age be 115 years?
    12·2 answers
  • The formula to find the spring constant, , for a spring with potential energy, , that has been stretched by length, , is shown b
    15·2 answers
  • Can anybody help me with this one
    13·1 answer
  • 8. The graph below shows the amount of money that a student has in the bank at the end of each week.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!