Answers
Step-by-step explanation:
I'll do 2.
Alright,Alex let say we have factored a quadratic into two binomial, for example
[tex](5x + 3)(6x - 4)[/tex]
If we set both of those equal to zero
[tex](5x + 3)(6x + 4) = 0[/tex]
We can used the zero product property in this case to find the roots of the quadratic equation.
This means that
[tex]if \: ab = 0 \: then \: a = 0 \: and \: b = 0[/tex]
This means we set each binomal equal to zero to find it root.
[tex]5x + 3 = 0[/tex]
[tex]5x = - 3[/tex]
[tex]x = - \frac{3}{5} [/tex]
[tex]6x + 4 = 0[/tex]
[tex]6x = - 4[/tex]
[tex]x = - \frac{2}{3} [/tex]
So our roots are negative 3/5 and negative 2/3 using zero product property
Related Questions
Help me with this plzzzzz I need to finish it rn so PLZZ help asp
Answers
Answer:
1. 16π
2. 112π
3. 351.68
Step-by-step explanation:
Area of a circle = πr^2
Substitute...
=4^2π
=16π
To find the how much fluid it can hold, just basically find its volume. To do that, you mutiply the area of the base by the height. So...
16π*7=122π
You then just subsitute π by 3.14 so...
122(3.14)=351.68
what is the scientific notation of 0.0000003
Answers
Answer:
This is ur answer.
Hope.it helps!!!
+-√-49=+-
please help
Answers
Answer: 0 if I am not mistaken
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answers
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
What is the slope of a line of best fit if its equation is y = −8x + 9?
Answers
Answer:
-8
Step-by-step explanation:
-8 also = -8/1, which you would use as your slope on a graph.
The Y intercept would then be (0,9)
Answer:
-8
Step-by-step explanation:
HELP ASAP PLZ. This is timed. I will award 50pts and Brainly to whoever can give me the slope intercept form to this equation. It is vital to my math grade. I risk failing if I don't get this right. HELP HELP HELP. Time is on the essence and my grade is at risk
Answers
Answer:
(0,7)
(7/3,0)
Hope this helps!
Step-by-step explanation:
I need help agen plz my teachers are still asking me to stay
Answers
Answer:
y = 7x^2 + 42x + 64
Step-by-step explanation:
... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps
Answer:
y = 7 x ^2 + 42 x + 64
Step-by-step explanation:
Find the Volume please help
Answers
Answer:
183.35m
Steve bought used and new video games from a website. The new games cost $54 each and the used games cost $9 each. He spent no more than $243 on the video games and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games. Identify an ordered pair that is a solution to the system of inequalities. Interpret the meaning of the ordered pair within the context of the problem by selecting the appropriate explanation.
Answers
Answer:
y = 3 used games
x = 4 new games
Step-by-step explanation:
54x + 9y = 243
x + y = 7 then x = 7 - y
substitute for x:
54(7 - y) + 9y = 243
378 - 54y + 9y = 243
reduce:
378 - 45y = 243
subtract 243 from each side:
135 - 45y = 0
add 45y to each side:
45y = 135
divide both sides by 45:
y = 3
x = 7 - 3 = 4
check:
3+4 = 7
7 = 7
54(4) + 9(3) = 243
243 = 243
A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Presuming that the height the ball bounces is always the same fraction of the height reached on the previous bounce, what is that fraction?
Answers
Answer: The required fraction = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let the required fraction = [tex]\dfrac{p}{q}[/tex]
Given: Initial height = 192 inches
Height of ball after second bounce = [tex]\dfrac{p}{q}\times192[/tex]
Height of ball after third bounce = [tex]\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}[/tex]
After the third bounce it is 3 inches off the ground.
So,
[tex](\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}[/tex]
Hence, The required fraction = [tex]\dfrac18[/tex]
Solve the inequality for x: 1/2(2x + 4) = 3x -6
Answers
0540-0058= ???
In military time
Answers
Answer:
0442 (4:42 normal time)
btw plz give brainliest
Please help me...will mark brainiest
Answers
Answer:
x-121
Step-by-step explanation:
Answer:
x² - 22x + 121
Step-by-step explanation:
(x-11)² is the same as (x-11)(x-11)
multiply the x in the first parentheses by x and -11 in the other parentheses and multiply the -11 in the first parentheses by x and -11 in the other parentheses and add all together
x²- 11x - 11x + 121
x² - 22x + 121
If q is the centroid of JKL, LN=72,JP=93, and MK=78, find each missing measure
Answers
*diagram is in the attachment below
Answer:
Step-by-step explanation:
Given:
LN = 72
JP = 93
MK = 78
Required:
LQ, QN, QP, JQ MQ, and KQ.
Solution:
Apply the centroid theorem to find each missing measure.
✔️LQ = ⅔(LN)
LQ = ⅔(72)
LQ = 48
✔️QN = ⅓(LN)
QN = ⅓(72)
QN = 24
✔️QP = ⅓(JP)
QP = ⅓(93)
QP = 31
✔️JQ = ⅔(JP)
JQ = ⅔(93)
JQ = 62
✔️MQ = ⅓(MK)
MQ = ⅓(78)
MQ = 26
✔️KQ = ⅔(MK)
KQ = ⅔(78)
KQ = 52
What is (are) the solution(s) to the equation 23x−3=−13x−6?
Answers
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans
Hope this helps !
Please mark it as the brainliest
que es el dominio en notación de intervalo?
Answers
Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.
Step-by-step explanation: Used my sheet.
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answers
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsthe sum of two rational numbers is 2/5. of one of the rational number is -3/7 then find the other rational number
Answers
Answer:
-29/35
Step-by-step explanation:
If u can help please do
Answers
Answer:
the first one is 240
the second one is 280
the third one is 200
The answers that would be discarded would be 220, 360 and 500
Step-by-step explanation:
Hey There!
So for this problem all we have to do is plug in the hours worked and drones sold into the expression 10h+40d
For the first one we just plug in 8 for hours (because he worked 8 hours) and 4 for drones ( because he sold 4 drones )
so we would have 10(8) + 40(4)
10x8=80
40x4=160
160+80=240 So 240 would go with the first one
For the second one we plug in 4 for hours ( because he worked 4 hours) and 6 for drones ( because he sold 6 drones)
so we would have 10(4)+40(6)
10x4=40
40x6=240
240+40=280
So 280 would go with the second one
For the third one we plug in 12 for hours ( because he worked 12 hours) and 2 for drones ( because he sold 2 drones)
so we would have
12(10)+2(40)
12x10=120
2x40=80
120+80=200
so 200 would go with the third one
hope this helps :)
Jenny recorded the weight of 5 dogs. Each dog weighed a different amount. She recorded the results
Which conclusion can be made about the interquartile range of Jenny's box plot?
a box plot.
A)
All the dogs weighed 15 pounds or less.
B)All the dogs weighed between 5 and 15 pounds.
C)The middle 50% of the dogs weighed between 5 and 15 pounds.
D)
The interquartile range was higher than it should be because of the dog
that weighed 20 pounds.
Answers
Answer:
C
Step-by-step explanation:
the middle 50% wold be the numerical values in the actual box part of the box plot.
ASAP
Which equation best represents the table below?
Answers
ADD two expressions
-3t-1 and 6t + 10
Answers
are the triangles similar, AA , SAS, SSS or not ?
Answers
Answer:
SSS
Step-by-step explanation:
Can't be AA. (no angles given)
Can't be SAS. No angles Given
Can't be not. (CPCTC)
define Multiplication Property Of Inequality
Answers
Answer:
Step-by-step explanation:
basically it's when the order changes, but the value doesnt.
example: a*b=b*a
15,19,23,__,31 find the number sequence
Answers
Answer:
27
Step-by-step explanation:
yes.
are you trying to find the missing number bc if so then its 27
15,19,23,27,31
Find the value of 56÷p when p=7.
Answers
Answer:
8
Step-by-step explanation:
56/7 = 8
Answer:
8
56 /p.
is is given that
p = 7
now putting the value of p in question
then we get
56/7
8
hope it helps
Which expression is equivalent to −36y−13?
−12(3y−1)+1
−12(3y+1)+1
−12(3y+1)−1
−12(3y−1)−1
Answers
Answer:
[tex]-12(3y+1)-1[/tex]
Step-by-step explanation:
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answers
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
Learn more:https://brainly.com/question/16668552?referrer=searchResults
need help on number 3. plzzzz!
Answers
Answer:
Step-by-step explanation:
x y = -5 y (x, y)
-1 -5 (-1, -5)
0 -5 (0, -5)
1 -5 (1, -5)
Slope between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope between points (-1, -5) and (0, -5) will be,
Slope = [tex]\frac{-5-(-5)}{-1-0}[/tex]
= 0
Slope of the line passing through the given points will be 0.
The length of a guy wire supporting a cell tower is 120 meters. The guy wire is
anchored to the ground at a distance of 80 meters from the base of the tower. To
the nearest hundredth of a meter, how tall is the tower?
120 m
cell tower
80 m
Answers
Answer: 140
Step-by-step explanation:
n calculate