Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
7. What is the interquartile range for the following list of data?
1, 13, 15, 4, 1, 12, 6, 12, 6
Answer:
10
Step-by-step explanation:
1, 1, 4, 6, 6, 12, 12, 13, 15
[tex]LQ=\frac{9+1}{4} =2.5 term= \frac{1+4}{2}=\frac{5}{2}=2.5\\UQ= 3(\frac{9+1}{4}) =7.5 term= \frac{12+13}{2}=\frac{25}{2}=12.5\\IQR=UQ-LQ=12.5-2.5=10[/tex]
NEED HELP ASAP, I WILL GIVE YOU BRAINLIEST
A circle has a radius of 17 ft. Find the length s of the arc intercepted by a central angle of 1.1 radians. Do not round any intermediate computations, and round your answer to the nearest tenth.
Answer:
0.9412
Step-by-step explanation:
Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.
If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make
Answer:
24 muffins
240 muffins
2 boxes
Step-by-step explanation:
here is the complete question
Amy is baking muffins. Each baking tray can hold 6 muffins.
a. If Amy bakes 4 trays of muffins, how many muffins will she have in all?
b. The corner bakery produced 10 times as many muffins as Amy baked. How many muffins did the bakery produce?
If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make
Number of muffins Amy has = number of trays x capacity of each tray
6 x 4 = 24 muffins
b. Muffins the bakery produces = 10 x 24 = 240 muffins
c. Number of boxes = 240 / 100 = 2. 4
that is 2 boxes of 100
Two tanks contain equal amount of liquid. They are connected by a pipe and 2500 gallons is
pumped from tank 1 to tank 2. When the pumping is done, one tank then contains 5 times as
much as the other. How many gallons did each tank contain at the start?
Answer:
3750
Step-by-step explanation:
Let the tank contain x gallons of water.
when pumping is done, then tank 1 contain x-2500 gallons
and tank 2 contain x+2500 gallons.
according to question,
5(x - 2500) = x + 2500
or, 5x -12500 =x+ 2500
or, 5x - x =2500+12500
or, 4x =15000
or, x= 3750
hence each tank contains 3750 gallons.
Five packets of almonds cost 2m dollars. Mandy buys 3 packets of almonds.
How much change does she receive if she paid with a $10 bill?
Answer:
3 ($0.40) = $1.20
Step-by-step explanation:
What is the side length of the smaller square plate on which 36 CM chopstick can fit along a diagonal without any overhang
Step-by-step explanation:
2
57
65
566
77788
66777
66788
67899
6789
78899
789999
88889
8888888
788889
888888999999999
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answer:
A. contract
Step-by-step explanation:
Find the value of x.
A.18
B.15
C.16
D.19
PLEASE HELP!!!!!
Answer:
x = 19
Step-by-step explanation:
123°+3x = 180°
3x = 180°-123°
3x = 57
x = 57/3
x = 19
The reason why we use 123° + 3x = 180° because both are adjacent angles. Adjacent angles add up to 180°
Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)
I need this answered by today, please!!
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
Given
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Required
Express as [tex]ax + b[/tex]
We have:
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Open brackets
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]
Evaluate all multiplications
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]
Collect like terms
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]
Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]
SIMPLIFY (√2 + √5) ²
Answer:
7+2√10
Step-by-step explanation:
Answer:
7+2√10
Step-by-step explanation:
The table shows morgan’s tips from five customers that he served at the Pizza Palace. What percent of these customers left more than a 15% tip? (i really need help PLEASE)
Answer:
2 people left more than 15%.
Find the measure of
A student spent 3 hours on homework last night. What percent of the day was spent on homework?
Answer:
12.5% of the day
Step-by-step explanation:
There are 24 hours in 1 day
3/24 = 1/8
.125 = 12.5%
Answer:
12.5%
Step-by-step explanation:
A student completed the problem below. Explain in your own words how to verify
if the answer is correct. *
2x^2 – 5x - 3 = (2x + 1)(x - 3)
value of 4y when y = -3
Answer:
-12
Step-by-step explanation:
4y=4*(-3) 4*(-3)=-12
Answer:
It’s -12
Step-by-step explanation:
Show me your thinking! This is not for marks but so that I get to know you more as a thinker
Determine the rule and the number of flowers at step 43.
Answer:
what do you mean
Step-by-step explanation:
can we see step 43
5x-20x+30x. plz help
Answer:
15x
Step-by-step explanation:
5x-20x+30x=15x
Simplify
2/6
——-
2/3
Answer:
1/2
Step-by-step explanation:
You can change it to multiplication then solve
(2/6)*(3/2)=3/6=1/2
Step-by-step explanation:
You mean
╭☞2/6/2/3?
Ans:-[tex]╭☞ \sf \: \dfrac{2}{ \dfrac{6}{ \dfrac{2}{3} } } \\ ╭☞ \sf \: \frac{2}{6} \times \frac{3}{2} \\ ╭☞ \sf \: \frac{3}{6} \\ ╭☞ \bf \: \frac{1}{2} [/tex]
Your carry-on bag can weigh at most 40 pounds.Select an inequality that represents how much more weight x (in pounds) you can add to the bag and seal meet the requirement. Then solve the inequality.
Answer:
22 + x ≤ 40
x ≤ 18 pounds
Step-by-step explanation:
Maximum weight = 40 pounds
Initial weight = 22 pounds
Let Maximum weight that can be added = x
Mathematically, this means :
Initial weight + additional weight ≤ 40
That is ;
22 + x ≤ 40
Additional weight, x :
x ≤ 40 - 22
x ≤ 18 pounds
19 Which of the following is equivalent to 2(12-6n+9)- Z(n? - En+9)? =1 19 Ο Σ(n- 32 =10 19 Ο Σ(n-32 19 Ο Σ(n+ 3)? =10 19 Ο Σ(n+ 3)?
EDGE ASAP!!!!
Answer:
B if its right i better get brainly list or a follow on ig
Step-by-step explanation:
1nspired_jay
Answer:
Correct answer is A
Step-by-step explanation:
When solving the inital problem you get 1405
Solved problems:
A: 1405
B: 1466
C: 3145
D: 3410
Therefore the correct answer is A
pls help me on number 1
Answer:
A. 25in.³
Step-by-step explanation:
Volume of a prism = area of base × height
Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out. Which amount is the most reasonable approximation of the total price of the 5 books?
Answer:
35 is a reasonable amount
Step-by-step explanation:
Since all of the books cost around $7 and there are 5 books
when you multiply 7x5=35
Find the derivative of f(x) = -5 divided by x at x = 11. (5 points)
AThe chosen topic is not meant for use with this type of problem. Try the examples below.
f (x) = 7x − 2, x = 6
f (x) = 3x − 2, x = 9
f (x) = x^2, x = 12
Answer:
I believe it is 2.2
Step-by-step explanation:
5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)
Jamie went deep sea diving. If he descends at a rate of 4 feet per minute, what integer represents his depth after 8 minutes?
Answer: 32 ft.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
4 feet per minute times 8 minutes equals 32
Can you help me please, no links
Answer:
Step-by-step explanation:
x is one-half the value of its intercepted arc. Therefore, x is 110/2 which is 55. Second choice down is the one you want.
A cylinder has a base radius of 3cm and a height of 2cm. What is its volume in cubic
cm, to the nearest tenths place?
Answer:
V=56.5
Step-by-step explanation:
Formula for finding volume of a cylinder is V=pi r^2h, substitute h for the height and r for radius. V=pi 3^2 2
Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1
15 points pls I need ASAP
Answer:
A. y = 3x + 3
Step-by-step explanation:
y=mx+b
b is the y-intercept (0,y) so lets start with that
We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3
For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m
The whole equation is y=3x+3
3 Simplify 3e - e + 4e
Please help me with this
Answer:
Step-by-step explanation:
i think you have to multiply then divide
Use arrow notation to describe the translation of point P(8, –5) to point P'(15, –6).
Answer:
Step-by-step explanation:
From (-5,-4) to (-8, -7) is left 3 and down 3. In arrow notation: <-3 \/3
figure out what the x and y components of the translation are and then write the arrow to show the direction'