Answer:
X = 9,X= -5, a = 2, b = -13
Step-by-step explanation:
For (1),
Using Cross-factorization,
it can be reduced to (X - 9)(X + 5) = 0
Equate each factor to 0:
we have X = 9 and X = -5
For (2),
It is the case of completing the Square,
add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)
(X^2 + 4X + 4) - 9
can be simplified to (X+2)^2 -9
However since we added 4 it means we have to subtract 4
So it becomes (X+2)^2 -9 -4
= (X+2)^2 -13
what property of equality is used to isolate the term with variable in the equation 2 x + 2 = 4?
A. Addition property
B. Reflexive property
C. Multiplication property
D. Transitive property
(it will help me a lot)
Answer:
I think it is addition property
I need help please!!
Answer:
3 1/4 + 4 2/5 + 6 1/2 = 14.15 hours
Step-by-step explanation:
If the graph of the second equation in the system passes through the points (-12, 20) and
(4, 12), which statement is true?
answer: the system had no solution
For rhombus GHJK, find m21.
Which rational number is NOT greater than point A?
Answers:
2 1/4
1.95
2.05
1 6/24
PLS HELP ME!! :((
Find the volume, given that the apothem is 11.3 in. (hint: remember for regular polygons, A = 2 (apothem) (Perimeter) Round your answer to the nearest - tenth.
Answer:
V = 3085 in³
Step-by-step explanation:
The volume is given by:
[tex] V = A*h [/tex]
Where:
A: is the area
h: is the height = 7 in
The area of the polygon can be found by using the given equation:
[tex] A = \frac{1}{2}a*p [/tex]
Where:
a: is the apothem = 11.3 in
p: is the perimeter
The perimeter is:
[tex] p = 13*6 = 78 in [/tex]
Hence, the volume is:
[tex] V = A*h = \frac{1}{2}a*p*h = \frac{1}{2}11.3 in*78 in*7 in = 3085 in^{3} [/tex]
I hope it helps you!
y∝1√x
If
y=7 when x=64
find,
x when y=8
Answer:
uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math
Step-by-step explanation:
Please Help me!!! with this problem
9514 1404 393
Answer:
D 120
Step-by-step explanation:
We are given the relation ...
48 = 0.40 × sales
Dividing by 0.40 gives the sales for the day.
sales = 48/0.40 = 120
120 milkshakes were sold that day.
Find the slope of the line passing through the points (6, 7) and (6, -5).
Answer:
undefined
It is undefined because if you put it on a graph you get a line going straight down.
How many pints are in 6.5 gallons?
Answer:
52 pints in 6.5 gallons.
Step-by-step explanation:
6.5 *8= 52
Answer:
52 pints
Step-by-step explanation:
6.5 * 8 = 52
(*8 because there are 8 pints in a gallon)
in Enter a number into each box to create
an equation that has exactly no real solution.
3(2x+5)-X =
2) Enter a number into
each box to create an
equation that has exactly one real solution.
19x -(5x+9)+7=
Answer: 5X+15
The first one is
The second one is 2(7X+8)
Plssss helppppppl:((((
Answer:
I think it's 1.5 I'm not sure ._.
Answer:
1/3
Step-by-step explanation:
Total students = 36
No of boys = 24
No of girls = 36 - 24 = 12
Probability of selecting a girl = 12/36 = 1/3
Please try, I’ll give Brainliest, and 70 points to the one who answers this
It’s due tomorrow so answers ASAP
Please help me with number 6
x:y=5:3 and x+y=56 work ouy the value of x and y
Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is [tex]\frac{x}{y} =\frac{5}{3}[/tex]
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.
jim began to bike a 173 mile bicycle trip to build up stamina for a for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at the rate of 38 miles per hour , find the amount of time he spent on the bicycle
Answer
3.5 hours
Step-by-step explanation:
Let us represent
The time spent walking as x
The time spent riding as y
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours.
Hence:
x + y = 5.... Equation 1
x = 5 - y
If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour,
The formula for Distance = Speed × time. Hence,
4 × x + 40 × y = 146 miles
4x + 40y = 146.... Equation 2
We substitute 5 - y for x in Equation 2
4(5 - y) + 40y = 146
20 - 4y + 40y = 146
Subtract 20 from both sides
20 - 20 - 4y + 40y = 146 - 20
- 4y + 40y = 146 - 20
36y = 126
y = 126/36
y = 3.5 hours
Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours
I think this is right I had this question I think it was the same one I dont know tho
Which of the following could not be a cross section of a rectangular prism?
A. Rectangle
B. Circle
C. Parallelogram
D. Triangle
Answer:
B
Step-by-step explanation:
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the next strike occurs within the next minute, you win 3 dollars, if the next strike occurs between 1 minute and 2 minutes from now, you win 5 dollars, and if the next strike occurs more than 2 minutes from now, you win 1 dollar. How much should someone be charged to play this game, to make it a "fair game?"
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Trying to help my daughter can't figure this out.
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4meters less than the length. Find the length and width of the rectangle. (use l for the length)
Answer:
width equals 16
length = 20
Step-by-step explanation:
Hello there!
we know that the perimeter is 72 m
and the width is 4 m less then the length
perimeter is 2w+2l
w=width and l = length
72 + (2x-4) = 72+8 = 80
80 / 4 (because there are 4 values, w, w, l, l ) = 20
so now...
20 - 4 = w
16 = w
and 20 = l
16+16 = 32
20+20 = 40
32+40 = 72
solve (x+5)/3 = 4 for x
please help asap
Answer:
x=7, because 7 plus 5 is 12 and 12 divided by 3 is 4
Step-by-step explanation:
7+5=12/3=4
i will love you if u please answer this question PLSS
Answer:
On the dive boat deck
Step-by-step explanation:
This is above the water level and water level is considered to be 0
pls love me <3
There are 40 people in a choir.
Half of the people in the choir are women.
The number of women in the choir is 5 times the number of
men in the choir.
The rest of the people in the choir are children.
the number of
children in the
choir
:
the number of
men in the choir
n : 1
Work out the value of n.
You must show how you get your answer.
n =
9514 1404 393
Answer:
n = 4
Step-by-step explanation:
Of the 40 people, half are women, so there are 20 women.
There are 5 times as many women as men, so 20/5 = 4 are men.
The remainder are children, so there are 20-4 = 16 children.
The ratio of children to men is ...
children : men = 16 : 4 = 4 : 1 = n : 1 . . . . . . . . remove a factor of 4 from 16:4
The value of n is 4.
Kai can wrap 42 gifts in 3 hours. Answer the following questions, assuming that Kai can continue wrapping gifts at that same rate. How many gifts can Kai wrap in 24 hours? _______________ How many hours would it take him to wrap 126 gifts? _______________ How many gifts does Kai wrap per hour? _______________
Answer:
1. 336
2. 9
3. 14
Step-by-step explanation:
He wraps 42 gifts/3hours
24 hours is 8 "3 hours"
42 hours per 3 gifts * 8 "3 hours" = 336 gifts
126 gifts is 3 "42 gifts"
3 hours per 42 gifts * 3 "42 gifts" = 9 hours
He wraps 42 gifts/3hours
divide these values by 3 and you get 14 gifts/one hour
14 gifts every one hour
Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon
Answer:
4 5/12 feet tall
Step-by-step explanation:
All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.
Answer:
Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)
Step-by-step explanation:
Leon older brother is 19/4 feet tall or 57/12.
Leon is 1/3 or 4/12 foot shorter than his brother.
57/12-4/12= 53/12
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches
Answer:
800 cubic inches
Step-by-step explanation:
We will use the formula= V=lwh or Volume= length times width times height
so, Volume=5inches times 8 inches times 20 inches
so, volume= 5 times 8 times 20
=40 times 20
=800 cubic inches
Please mark me as a brainliestAnswer:
800
Step-by-step explanation:
Following are weights, in pounds, of two-month-old baby girls. It is reasonable to assume that the population is approximately normal.
12.32 11.87 12.34 11.48 12.66
8.51 14.13 12.95 9.34 8.63
Required:
a. Construct a interval for the mean weight of two-month-old baby girls.
b. According to the National Health Statistics Reports, the mean weight of two—month-old baby boys is 13.9 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month—old baby girls may be the same as that of two-month-old baby boys? Explain.
Answer:
10.224 < μ < 12.622 ;
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of Error
margin of error = Zcritical * standard deviation /sqrt(n)
n = sample size
From the data:
12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63
From the data:
Using calculator :
Mean, = 11.423
Standard deviation, s = 1.934
Zcritical at 95% confidence interval = 1.96
Sample size, n = 10
Margin of Error = 1.96* 1.934/sqrt(10) = 1.199
Lower boundary = 11.423 - 1.199 = 10.224
Upper boundary = 11.423 + 1.199 = 12.622
10.224 < μ < 12.622
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Find the area inside the square and outside the circle. (Simplify your answer. Type an exact answer in terms of pi.)
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Answer:
(676 -169π) ft²
Step-by-step explanation:
The area of the square is ...
A = s² = (26 ft)² = 676 ft²
The area of the circle is ...
A = πr² = π(13 ft)² = 169π ft²
Then the shaded area is ...
(676 -169π) ft²
round 38.68 to the nearest hundred
(15x-7)-(23x-2)
use foil
Answer:
=15x-7-23+2
=-8x-7+2
=-8x-5
Step-by-step explanation:
Evaluate the expression x (3) – (3 + x)2 for x = 4.
Answer:
if x=4, the answer is -2.
Step-by-step explanation:
4x3-(3+4)2
12-7x2
12-14
= -2
i hope this helps :)