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
Vedmedyk [2.9K]
2 years ago
7

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in v

ertex form, f(x)=a(x−h)2+k, is shown.−70=a(0−6) squared+2
Mathematics
2 answers:
dimaraw [331]2 years ago
8 0

Answer:

The equation of the function in vertex form is represented by y = -2\cdot (x-6)^{2}+2.

Step-by-step explanation:

Let (h,k) = (6,2) and (x,y) = (0, - 70), now we substitute on the equation of the quadratic function and solve for a:

y = a\cdot (x-h)^{2}+k

-70 = a\cdot (0-6)^{2}+2

-70 = 36\cdot a + 2

36\cdot a = -72

a = -2

Therefore, the equation of the function in vertex form is represented by y = -2\cdot (x-6)^{2}+2.

gavmur [86]2 years ago
6 0

Answer:

THE ANSEWR IS BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

b the seconed option

You might be interested in
Find the product: (-3)(-5)
MariettaO [177]

Answer:

15

Step-by-step explanation:

-3 times -5 equals 15 because two negatives multiplied by each other equals a positive.

6 0
3 years ago
Read 2 more answers
I’ll mark you thank youuu
pentagon [3]

Answer:

y = 1/5x + 32/5

Step-by-step explanation:

3 0
3 years ago
Find the equation of the line through (8,−6) which is perpendicular to the line y=x3−7.
ycow [4]

Answer:

y = (-1/3)(x + 10)

Step-by-step explanation:

The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3.  Thus, the perpendicular line has the slope -1/3.

Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:

y = mx + b    =>    -6 = (-1/3)(8) + b, or

-6 = -8/3 + b.  We must solve for the y-intercept, b:

Multiplying all three terms by 3 removes the fraction:

-18 = -8 + 3b.  Thus, -10 = 3b, and so b must be -10/3.

The desired equation is    

y = (-1/3)x - 10/3, or

y = (-1/3)(x + 10)

8 0
3 years ago
Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
2 years ago
Which of the following is CORRECTLY written in scientific notation? Question 1 options: .34 x 10(exponent 3) 34 x 10(exponent 3)
ExtremeBDS [4]

Correct scientific notation has only one number to the left of the decimal point.

The correct one would be:  3.4 x 10(exponent 3)

5 0
3 years ago
Other questions:
  • 15 less than a number
    11·2 answers
  • A University of Florida student earns $15 per day delivering advertising brochures door-to-door, plus 75¢ for each person he int
    10·1 answer
  • 30.) Patel bought a model rocket kit from a catalog. The price of the kit was $124.95. The
    6·1 answer
  • What’s the fully simplified expression for the perimeter of the paddock?
    5·1 answer
  • Sketch the Cartesian product on the x-y plane R^2: Zx Z.
    8·1 answer
  • How do i do this problem (7 3/8) - (4 5/8)
    12·1 answer
  • Find the vertex of f(x) = 12 - 41 +3
    12·1 answer
  • What relation is a graph that is just a straight horizontal line, no slope or anything.
    13·1 answer
  • 40 points!! What is the area of the quadrilateral with vertices at (2, -4), (4, -4), (2, 1), and (4, 1)?
    15·1 answer
  • find an approximate equation of the line that has the given slope and contains the given point. m=2.9,(3,3-5.1)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!