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
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
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?
Answer
10.25
Step-by-step explanation:
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A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?
Answer:
280/80 = 28/8 = 7/2 = 3.5 cm
Step-by-step explanation:
the ratio is 1cm/80mi = a cm/280mi
so you get 280cm * mi = 80mi*a cm
so a = 280/80 = 3.5
The value of a professor basketball players autograph rose 30% in the las year.It is now worth $286.00. What was it worth a year ago
A. $210.00
B. $230.00
C. $200.00
D. $220.00
Answer:
$220 dollars
Step-by-step explanation:
a = p * w (the percentage formula)
subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)
286 = 1.30 * w
solve.
w = 220
a factory could produce 84 toy robots in one day. They purchased some new equipment. Now they can produce 105 robots in one day. what is the percent gain?
Answer:
The answer to the question is
25 % increase in production rate
Step-by-step explanation:
To solve the question, we note that
Initial number of products = 84 toy robots per day
Present production rate = 105 robots per day
The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100
Where increase in production rate = 105 - 84 = 21
Percentage increase = 21/84 ×100 = 25 % increase
HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:
match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Answer: ↓↓↓
Step-by-step explanation:
Slope intercept formula: y = mx + b
Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5
Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5
Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4
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Answer:
I have the answer
Step-by-step explanation:
Answer:
the required answer is 18
Step-by-step explanation:
see the solution in attached picture
i hope u got it
A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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What is the x-value of the solution to the system of equations:
y = -1/2x - 4
y = 2x + 1
Answer:
x = 0
x = (-1/2,0)
Step-by-step explanation:
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answer 6
Step-by-step explanation:
I found the answer on calculator
which one is greater , 65% or 3/5
Answer:
Step-by-step explanation:
65% is greater
Are the two ratios equivitant? Explain your reasoning. The ratios of boys to girls is 5 to 2. The ratio of girls to boys is 2:5
Answer:
Yes
Step-by-step explanation:
The order is switched from boys to girls(5 to 2)to girls to boys (2 to 5).
Hi I need help
I’m new on this app
Answer:
.60 I think
I hope you get it right
Find the change in temperature if the temperature rises -18⁰f to 15⁰f
In New Mexico, the state sales tax rate is 5.125%. The price tag on a baby crib gives the price as $320. There are no discounts available. What is the total cost for the crib, including sales tax, in New Mexico? *
Answer: $336.40
Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.
The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?
A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet
Answer:
C
Step-by-step explanation:
Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.
[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]
4 f = 64
Answer:
f=?
Answer ? Mark pls
Answer:
F=16
Step-by-step explanation:
Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped
Which two numbers multiply to 20 and add to 9
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
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What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
The senior classes at High School A and High School B planned separate trips to New York City.
The senior dass at High School A rented and filled 14 vans and 6 buses with 264 students. High
School B rented and filled 7 vans and 5 buses with 178 students. Every van had the same
number of students in it as did the buses. How many students rode in each van?
Answer:
9 kids
Step-by-step explanation:
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Answer:
a = w/p
Step-by-step explanation:
To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.
Answer:
a = w/p
Explanation:
Step 1: Multiply both sides by a.
ap = w
Step 2: Divide both sides by p.
ap/p = w/p
a = w/p
Given mn, find the value of x.
(6x+20)
(8x-10)
Which type of triangle is this?
8 feet in 15 seconds; 16 feet in 40 seconds
does this rate form a proportion?
Answer:
no
Step-by-step explanation:
8 ft in 15 sec
16 ft in 40 sec
8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs
Find the area of the polygon.
Help me with this multiple choice question!
Answer:
B -4 A-7 C 0.5 D 2 E3 then F 11
Step-by-step explanation:
What is evil and can trick you
Answer:
Wizard or the devil
Step-by-step explanation:
Answer:
The devil
[tex]el \: diablo[/tex]
HELP PLEASE! I need helpppp!! :(
PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER
Answer:
It is the second choice.
Step-by-step explanation:
Divide both side by pi r squared. Boom.
Answer:
h = V/πr²
Step-by-step explanation:
Its asking you to isolate h. You can simply divide on the right besides h on both sides.
V = πr²h
V/πr² = h