Answer: b = 14.
Step-by-step explanation:
We have the function:
f(x) = x^2 + b*x - 21
The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:
f'(x) = 2*x + b = 0
then the vertex is at:
x = -b/2
Then the minimum of the function f(x) will be:
f(-b/2) = (-b/2)^2 + b*(-b/2) - 21
and we know that the minimum value is -70, then:
f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21
Now we need to solve this equation for b.
-70 = (b^2)/4 - (b^2)/2 - 21
-70 = -(b^2)/4 - 21
-70 + 21 = -(b^2)/4
49 = (b^2)/4
49*4 = b^2
196 = b^2
√196 = b = 14
The value of b is 14.
Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?
Answer: 12 books
Step-by-step explanation:
First you need to remove the cost of shipping from the total amount:
= 75 - 3
= $72
The above is the total amount spent on the books without shipping.
If each book cost $6, the total number of books bought is:
= 72 / 6
= 12 books
Solve for the variable: 6/25 = d/30
Answer:
d = 7.2
Step-by-step explanation:
We can cross multiply the equation to get:
6 * 30 = 25 * d
(* is multiplication sign by the way)
180 = 25d
Divide both sides by 25 to get:
d = 7.2
Pleaseee help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x = 104 degrees
y = 76 degrees
z = 104 degrees
quadrilateral have to add up all of their interior angles to 360 degrees.
x and c are opposite interior angles. after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.
Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.
Answer:
m∡x = 104°
m∡y = 76°
m∡z = 104°
Step-by-step explanation:
m∡A ≅ m∡C
m∡B ≅ m∡D
to find m∡B: 2(104) + 2y = 360
208 + 2y = 360
2y = 152
y = 76
m∡z: 180° - 76° = 104°
expand and simplify (x-2)(2x+4)
Answer:
[tex]2 {x}^{2} - 8[/tex]
hope it's helpful ❤❤❤
THANK YOU.
Answer:
2x² - 8
Step-by-step explanation:
Given
(x - 2)(2x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 4) - 2(2x + 4) ← distribute both parenthesis
= 2x² + 4x - 4x - 8 ← collect like terms
= 2x² - 8
please help my friend, he's struggling on math
Answer:
question 1 = 37 covers , 535 dollars
question 2 = 32 covers , 460 dollars
Expression = 69 covers , 995 dollars
Step-by-step explanation:
You would take the number of covers and multiply it by 15 because 15 dollars is how much they sold each cover for.
and then for the expression wasnt sure what to do but from what i could see you added up the totals.
Hope this helped him :)
also tell me what his snap is BAHA okay lemme stop.
how do you find width of a cylinder ?
What is m_8 if m_4= 50 degrees?
Which expression is equivalent -6(-2/3+2x0
1. -4-12x
2. -4+2x
3. 4-12x
4. 4+12x
Answer:
3
Step-by-step explanation:
Answer:
Number 3
Step-by-step explanation:
-6( [tex]\frac{-2}{3}[/tex] + 2x) [distribute -6 to [tex]\frac{-2}{3}[/tex] and 2x]
= (-6 × [tex]\frac{-2}{3}[/tex]) + (-6 × 2x)
= (-6 × [tex]\frac{-1}{3}[/tex] × 2) + (-12x)
= (2 × 2) - 12x
= 4 - 12x
Work out the size of angle X
Answer:
117
Step-by-step explanation:
180-101 = 79
180-(79+38)
180-117
63
180-63=117
Pls help me i need your help to do it pls
Answer: 39°
Step-by-step explanation:
This is a right triangle, meaning one of the angles is a 90° angle. Angle CBA in this case is the 90° angle. In order to figure out the measure of ABD, you subtract the measure of CBA by the measure of CBD, which is 51°.
90 - 51 = 39
Thus, the measure of ABD is 39°
A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?
The price per dozen muffins is $
.
The Acosta family went out to dinner. The price of the meal was $79.85. If the tip was 15%. How much money did the Acosta family pay for the meal, including tip?
A) $91.83
B) $67.87
C) $11.98
D) $94.85
Answer:
the Smith family pay for the meal = $ 36.39Step-by-step explanation:
The Smith family went out to dinner . The price of the meal was $ 29.85 .
The sales tax was 6 % of the price of the meal .
LEts find sales tax amount sales tax amount = price of meal *
sales tax 6 % ( 0.06 ) = 29.85 * 0.06 = 1.791 sales tax amount = 1.791
Price of the mean with sales tax = 29.85 + 1.791 = 31.641
The tip was 15 % of the meal and the sales tax now we find out tip amount for 31.641 15 % is 15 / 100 = 0.15
Tip amount = 31.641 * 0.15 = 4.74615
Now we add the top amount with 31.641 31.641+ 4.74615 = 36.38715
the Smith family pay for the meal = $ 36.39
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Travis reads 21/4 pages of his history assignment in 7 1/2
minutes. Which TWO statements are correct?
A)
The unit rate is 7 pages per minute.
B)
7
The unit rate is
10
page per minute.
0)
The unit rate is 51 pages per minute.
D)
At the same rate, Travis reads 40 pages in 28 minutes.
E)
At the same rate, Travis reads 60 pages in 28 minutes.
Answer:
its B and E i just did the question and got it right
Answer:
B and D
Step-by-step explanation:
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
WILL MARK BRAINLIEST
A green number cube and a red number cube are rolled. An outcome is the pair of numbers rolled on the two different cubes. Which of the following are true? Select all that apply.
Each result is equally likely.
The sample space has 36 different outcomes.
The sample space has 11 different outcomes.
A total roll of 7 is very likely.
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Explanation:
A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Step-by-step explanation:
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700
What are the coordinates of the point P?
Answer:
P (6 , -3)
Step-by-step explanation:
point P : (6 , -3)
HELP ME RN PLEASEEEE!!!!!!!!
how many 3/8 are in 8, explain how you know
Answer:
exactly 21 sets of 3/8 fit into 8
Step-by-step explanation:
Basically you just draw 8 boxes split them in 8ths and you end up with 21 sets of 3/8
Which of the following objects exerts a gravitational force?م the Sun the Moon the Earth a basketball an apple
Answer:
Please rate as brainliest.
Step-by-step explanation:
The Moon exerts its force of gravity; since it's smaller and lighter than Earth, we would discover we weigh around a sixth of our weight on Earth if we could weigh ourselves on it. One could ask why the Moon doesn't fall on Earth as an apple from the tree.
19.- Según la gráfica ¿Cuál es la rapidez media entre 4 s y 8 s?
A. 8 m/s
B. 1 m/s
C. 0,5 m/s
Answer:
B. 1m/s es la respuesta correcta
1/2 til 2:00? = what time
Answer:
the answer is 1:30pm/am
v
8
IZ
13
10
U
What is the LCM (least common multiple) of 2 and 7
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]
Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150
HELPP PLEASEE
Answer:
360 divied by 2.4 = 150
Step-by-step explanation:
92 divided by 11 with remainder
Answer:
8 remainder 4
HALP! I don't understand this! I need an explanation right away! Thank you for your help!
Answer:
1/2
Step-by-step explanation:
there are 13 cards in each type so
heart or diamond would mean either one so 13 +13=26
26/52
1/2
TOTAL NUMBER OF HEART CARDS= 13
TOTAL NUMBER OF DIAMOND CARDS= 13
PROBABILITY OF AN EVENT
= NUMBER OF FAVOURABLE OUTCOMES
TOTAL NUMBER OF POSSIBLE OUTCOMES
Probability of getting a heart card♥=13/52 =1/4
Probability of getting a DIAMOND card♦= 13/52 =1/4
Probability of getting a heart and a diamond card =26/52 =1/2
I hope you got it!!!...right!!
Question 2
Write an equation in slope-intercept form for the line with slope - 3 and y-intercept - 1.
D=0
.
Х
Answer:
y=-3x-1
Step-by-step explanation:
Slope-intercept format:
y = mx+b
m = slope
In this case, the slope is -3b = y-intercept
In this case, the y-intercept is -1Now we plug it in to get the equation:
y=-3x-1
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ?
Answer: There is 28 coins total
i need help please 16x-20y=60
slope intercept form
When playing the integer game, the first two cards were -8 -10. What is the value of your hand? Write an equation to justify your answer.
Answer:
-18
Step-by-step explanation:
-8 + (-10)
-8-10
-18
Hope this HELPS