Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here
Answers
Answer:
b = {20, -20}Step-by-step explanation:
Given function:
f(x) = -x² + bx - 65 with maximum value of 35To find
The value of bSolution:
Maximum value is obtained at vertex as a < 0
Vertex coordinate of x is:
x = -b/2a = -b / -2 = 1/2bSolving for b:
35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20See attached
![Find The Values Of B Such That The Function Has The Given Maximum Value [tex]f(x) = -x^2+bx-65[/tex].](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/yjAqglHs4i2cQvFJWDQKe7wwOcIhAdNN.jpeg)
Related Questions
Please help me with this
Answers
Answer:
6 4/5
Step-by-step explanation:
2 4/5 x 2 3/7 = 6 4/5
Hope this helped you
john drops a probe into a lake. the elevation of the probe changes by -1 1/2 feet every second. the probe takes 50 seconds to reach the bottom of the lake. how deep is the lake show your work
Answers
Answer:
The lake is 75 ft deep
Step-by-step explanation:
Here , we want to get the depth of the lake
mathematically, we can have this as the rate at which the elevation of the probe changes multiplied by the time it took the probe to reach the bottom of the lake
That would be;
3/2 * 50 = 75 feet
Matthew drives at an average speed of 62 mph for 5 hours
B) how many miles does Matthew drive
Answers
Answer:
310
Step-by-step explanation:
62 multiplied by 5 will get you the answer
There is a number such that 7 times the number minus 15 is equal to 41
Answers
Answer: 6.571
Step-by-step explanation: If you want the exact answer, it’s 6.57142857
Answer:
8 is the number
Step-by-step explanation:
So in order to find out the "number" we are going to have to turn the equation around. First of all the equation says "minus 15 is equal to 41" so we are going to add 15 to 41:
41 + 15 = 56
So now we are going to divide 7 from 56 because we are doing the equation backwards:
56/7 = 8
So now we check our work by replacing the number in the sentence with eight, "7 times 8 minus 15 is equal to 41" which would make the equation look like this:
7 * 8 + 15 = 41
First we multiply 7 by 8:
7 * 8 = 56
Now we subtract 15 from 56:
56 - 15 = 41
Making the equation look like this:
41 = 41
Hope this helps you!!!
You've analyzed each game. Which game earns
you more points?
A.game 1 (200 points per hit)
B. Game 2 (points double on each hit)
C. It depends
Answers
Answer:
C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.
Step-by-step explanation:
Answer:
C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.
Step-by-step explanation:
For what value of p would the statement 5p = 30 be true
Answers
Answer:
p = 6 is the answer
Step-by-step explanation:
What is the value of x in the diagram below?
49
14
2
Answers
The value of x in the diagram is 7 (D) because 2 * 7 = 14 and 7 * 7 = 49.
The value of x in the given diagram will be 7.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal.
We have,
Two triangles as shown in the given figure,
Now,
Both the given triangles have 90° corresponding angles and also the opposite angle of 90° of both triangles is equal.
So,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{49}{x} =\frac{14}{2}[/tex]
⇒
14x = 49 × 2
14x = 98
[tex]x=\frac{98}{14}[/tex]
x = 7
Hence, we can say that the value of x in the given diagram will be 7.
To know more about similar triangle click here
https://brainly.com/question/12460919
#SPJ2
Can someone plz help me with the red #6 the graph is on the screen plz anyone fast ☹️
Answers
The 1 is negative because it’s going down
please help>>>>>>>>>>>>>>>>
Answers
Answer:
The answer is B, -5 is a rational number and integer! :)
Step-by-step explanation:
Answer: My guess is integer only
Step-by-step explanation:
HELP ME PLEASE I REALLY NEED IT!!!
Answers
Given ABC, what is the value of x? Write the answer as a decimal number
Answers
9514 1404 393
Answer:
12.25
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally, so we have ...
x/3.5 = 7/2
x = 3.5×7/2 . . . . multiply by the denominator
x = 12.25
_____
Additional comment
The proportion can be written 4 ways. I find it convenient to write it with the unknown value in the numerator. That way, the solution is found in one step: multiply by the denominator.
Given the function f (x) = x² + 5, evaluate f (-10)
Answers
Answer:
f(-10)=105
Step-by-step explanation:
When something says f(x), the (x) is your plugin value. So basically in this scenario, x= -10
1) f(-10)= (-10)^2+5
2)f(-10)= 100+5
3) f(-10)= 100+5
Ok hopefully I remembered my properties of exponents correctly, but I'm pretty sure that's the answer. If it isn't, you should try making the 100 negative instead of positive from step 2 and work from there.
Convert 3 quarts to pints.
Answers
Answer: 6 pints
Step-by-step explanation:
Multiply the quarts by 2
You can represent the measures of an angle and its complement as tº and (90 – x)". Similarly, you can represent the measures of an angle and its supplement as x° and (180 – x)". Use these expressions to find the measures of the angles described.
1. The measure of an angle is three times the measure of its supplement.
2. The measure of the supplement of an angle is three times the measure of its complement.
3. The measure of an angle increased by 20° is equal to the measure of its complement.
Answers
Answer:
180° - t = 5 · ( 90° - t )
180° - t = 450° - 5 t
5 t - t = 450° - 180°
4 t = 270°
t = 270° : 4
t = 67.5°
The measure of an angle is 67.5°.
Its complement angle: 22.5°.
Its supplement angle: 112.5°
112.5° = 5 x 22.5°
i hope this is right <3
Question is in picture
Answers
Answer:
[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]
B. is the right answer.hope this helps.
A store buys an item for $94. The store then prices the item to sell to customers. What is the selling price (in dollars) the store sells the item to customers for after applying a 62% markup? If necessary, round the answer to the closest hundredth.
Answers
Answer:
$152.28
Step-by-step explanation:
In order to determine the markup, multiply the original price by 62%
94 x 62% = 94 x .62 = 58.28
In order to determine the sale price, add the markup to the original price.
94 + 58.28 = $152.28
An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?
Answers
It is 10 feet from -10ft to 0ft, plus 40ft to the roof.
please help solve....
Answers
Please I need ur help, ASAP!!!! 20 points
The graph below represents which system of inequalities? (2 points)
graph of two infinite lines that intersect at a point. One line is solid and goes through the points 0, 2, negative 2, 4 and is shaded in below the line. The other line is solid, and goes through the points 0, 2, 2, 0, and is shaded in below the line.
A: y ≤ −2x + 3
y ≤ x + 3
B: y ≥ −2x + 3
y ≥ x + 3
C: y ≤ −3x + 2
y ≤ −x + 2
D: y > −2x + 3
y > x + 3
Answers
What are the correct answers?
Answers
2. y= -4x + 1/2
3. y= 2x + 1
4. y= 2/3x + 3
5. y= -1/2x - 4
6. y= -3x + 13
Glad I could help
Identify the transformation in which every point of a figure is moved to the same distance in the same direction.
O. Glide Reflection
O. Translation
O. Rotation
O. Reflection
Answers
Answer:
reflection
Step-by-step explanation:
think of it as looking in a mirror
What is the slope of the line that passes through the points
(
−
4
,
−
3
)
(−4,−3) and
(
14
,
0
)
?
(14,0)? Write your answer in simplest form.
Answers
Answer
y= 1/6x -2.3
Step-by-step explanation:
hope this helps :)
The slope of the line passing through (-4, -3) and (14, 0) is 1/6.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line passing through (-4, -3) and (14, 0) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}[/tex]
The slope of the line passing through (-4, -3) and (14, 0) is 1/6
Find out more at: https://brainly.com/question/13911928
Can someone help me with this please
Answers
Answer:
1) C=80°
2) A=C= 54°
Step-by-step explanation:
1) 180-60-40=80
2)180-72=108
108/2=54
Hope this helps! :)
Answer:
1. 80º
2. Both are 54º
Step-by-step explanation:
1. If you add 60º + 40º in problem 1, you get 100º. We need to get it to equal 180º, so this means the missing angle would be 80º
2. Just like in the first one, we need this to equal 180º. So, let's go backwards.
180 - 72 = 108
Now, since the remaining angles are equal, let's divide 108º by 2
108 / 2 = 54º
Hope this helps :)
Averages Question please help!
Answers
1.48 to 2 decimal places
Suppose a normal distribution has a mean of 34 and a standard de ration of 2. What is the probability that a data value is between 30 and 362 Pound your answer to the nearest tenth of a percent. A. 82.9% B. 83.9% C. 81.9% D. 84.9%
Answers
Answer:
so my name is cene and i have that question and its b
Step-by-step explanation:
Answer: 81.9
Step-by-step explanation:
Just took the quiz
ANSWER THE QUESTIONS!!!!!!!!!!!!
Answers
Answer:
(x-4)^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Download Socratic it will give you all the answers trust me it’s like a human calculator which is smarter
For the following ordered pairs, what quadrant would they be in?
(4, -2)
(-3, -3)
(-4, 2)
(3, 5)
Answers
Answer:
(4,-2) would be in Quadrant 2
(-3,-3) would be in Quadrant 3
(-4,2) would be in Quadrant 4
(3,5) would be in Quadrant 1
Step-by-step explanation:
Write an expression that can be used to find the total cost of 7 bikes at $85.00 each and 4 helmets at $25.50 each.
Answers
Answer:
85x7+ 25.50x4
Step-by-step explanation:
You multiply and then add them up. Hope this helps
What number should go in the box? 34816=▢+4000+800+10+6
Answers
Answer:
30,000 number should go in the box
Answer:
30000.
Step-by-step explanation:
34816=▢+4000+800+10+6
34816 = ▢ + 4816
▢ = 34816 - 4816
= 30000
2 Name the diameter of the circle shown.
A co
B ec
C eo
D rc
Answers
Answer: a
Step-by-step explanation: