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
Vesnalui [34]
3 years ago
13

Find the values of b such that the function has the given maximum value

2%2Bbx-65" id="TexFormula1" title="f(x) = -x^2+bx-65" alt="f(x) = -x^2+bx-65" align="absmiddle" class="latex-formula">. I already have it in vertex form as -(x+\frac{b}{2})^2-65+\frac{b^2}{4} but I don't know what to do from here
Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

  • b = {20, -20}

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = -x² + bx - 65 with maximum value of 35

<u>To find </u>

  • The value of b

<u>Solution:</u>

Maximum value is obtained at vertex as a < 0

<u>Vertex coordinate of x is:</u>

  • x = -b/2a = -b / -2 = 1/2b

<u>Solving for b:</u>

  • 35 = - (1/2b)² + b(1/2b) - 65
  • - 1/4b² + 1/2b² = 100
  • 1/4b² = 100
  • b² = 400
  • b = √400
  • b = ± 20

See attached

You might be interested in
What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
3 years ago
Which of the following is the linear parent function?
Naddika [18.5K]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Best answer gets brainliest!
nikitadnepr [17]

Answer: <u>Best answer gets brainliest!</u>

<h2>90+120= 210</h2>

Step-by-step explanation:

<u>Add the amount of students together!</u>

Hopefully this helps you!

-Keira

4 0
2 years ago
Read 2 more answers
PLEASE HELP MEEEEeeeeeee
brilliants [131]

Step-by-step explanation:

Children have rights in order to ___________________________

3 0
3 years ago
How do you use the distance formula and slope formula to find the lengths of a quadrilateral?
Natasha_Volkova [10]
The distance formula to find the length of the sides... opposite sides equal it could be a rectangle or parallelogram all sides equal, square or rhombus adjacent equal, kite and then the slope is used to check angles if the product of the 2 lines in -1 the lines are perpendicular (right angle) the slopes of 2 lines are the same the sides are parallel. Hope it helps.
5 0
3 years ago
Other questions:
  • The Bulldog soccer team wants to increase the size of its practice field by a scale factor of 1.5. The field is a rectangle that
    12·1 answer
  • I attached my question
    8·1 answer
  • Please solve these coin problems:
    15·1 answer
  • The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.
    12·1 answer
  • Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compound
    14·2 answers
  • Which of the following statements accurately compares f(x) and g(x)? Choose all that apply.
    11·2 answers
  • Find the area of the trapezoid.
    12·1 answer
  • The following differential equation is separable as it is of the form dP/dt = g(P)h(t).
    11·1 answer
  • What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r
    10·1 answer
  • Somebody please help​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!