Answers
Answer: (a) x = -1
Step-by-step explanation:
Given
-2 (x - 1) = 1 - 3x
Expand parentheses and apply the distributive property
(-2) · x - (-2) · 1 = 1 - 3x
-2x + 2 = 1 - 3x
Add 3x on both sides
-2x + 2 + 3x = 1 - 3x + 3x
x + 2 = 1
Subtract 2 on both sides
x + 2 = 1 - 2
[tex]\boxed{x=-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
1. View The Truth Behind the Golden Ratio video (https://youtu.be/92ZiDsOf2z0)
for additional examples of
the Golden Ratio. Select your favorite example from the video (or your own
research) and explain why this specific example is so interesting to you.
(Possible keywords: the golden ratio + in nature, + in art, + in the human
body, + in geometry).
2. Now that you know more about the Golden Ratio, do you believe its
common presence shows evidence of a grand design within the universe or
is it simply a coincidence? Explain why you feel that way.
3. How does this topic reinforce or change your belief about the application of
math to your daily life?
Answers
According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry
[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]
Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC
The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative
2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature
3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life
Learn more about the Golden Ratio here:
https://brainly.com/question/20730582
https://brainly.com/question/22904993
https://brainly.com/question/15895546
Answer:
Step-by-step explanation:
for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain
why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
Answers
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
6
NA
O The function is positive for all real values of x where
x < -1.
The function is negative for all real values of x
where
x < -3 and where x > 1
The function is positive for all real values of x where
x>0
The function is negative for all real values of x
where
X<-3 or x>-11
+
6
4
2
4
6
x
-2
-2
4
-6-
-
Mark this and retum
Save and Exit
Next
Submit
Answers
9514 1404 393
Answer:
(b) The function is negative for all real values of x where x < -3 and where x > 1
Step-by-step explanation:
It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.
[IMAGE ATTACHED]
I don’t understand this please help.
Answers
You know that the whole angle should be 180 since a straight line has an angle of 180 degrees.
55+90= 145
180-145=35
Set (9r-1)° equal to 35 and you should get r=4
BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
(-6,6)
Step-by-step explanation:
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride?
Answers
Answer:
$2.20
Explanation:
For every mile $0.20 is charged
The base fee is $2.00
If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00
2.00 + 0.20 = 2.20
Devaughn is 6 years younger than Sydney. The sum of their ages is 46 . What is Sydney's age?
Answers
52
if im wrong, sorry
if im right, yay
Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.
Answers
Answer:
i believe its 1512mm
Step-by-step explanation:
56mm x 27mm
Find the missing value.
Hint: Use the number line to find the missing value.
-4=
-9
-15
-10
-5
0
5
10
15
Stuck? Review related articles/videos or use a hint.
Answers
-4 = 5 - 9
Step-by-step explanation:
-4 = ? - 9
Add 9 to -4
5
The result of -4 = ? - 9 is 5
-4 = 5 - 9
-4 = -4
A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?
Answers
Answer:
1
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Two have been used so the answer must be one of 59n, n95, 9n5 and 5n9
I will show one wrong and then the correct answer
95n - n59 = 5n9
950 + n - 100n - 59 = 509 + 10n
891 - 99n = 509 + 10n
382 = 109n
n = 382/109 wrong
95n - n59 = n95
950 + n - 100n - 59 = 100n + 95
891 - 99n = 100n + 95
796 = 199n
n = 796/199 = 4
So 954 - 459 = 495
The other digit is 4
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members
Answers
A set S has four members if there are six subsets of it, each with two members.
The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.
[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]
There are 6 subsets in this situation, each with 2 members.
So, [tex]^nC_2[/tex] = 6
Simplifying the equation:
n! / (2!(n-2)!) = 6
n(n-1) / (2 x 1) = 6
n(n-1) / 2 = 6
n(n-1) = 12
Expanding the equation:
[tex]n^2 - n = 12[/tex]
[tex]n^2 - n - 12 = 0[/tex]
Factoring the quadratic equation:
(n - 4)(n + 3) = 0
When all factors are set to zero and n is calculated:
n - 4 = 0 or n + 3 = 0
n = 4 or n = -3
Since n must be a positive integer.
So, n = 4 is the valid solution.
Thus, set S consists of 4 members.
Learn more about Combination here:
https://brainly.com/question/28720645
#SPJ12
What is a rational number between -1/5 and -2/5?
Answers
Answer:
-1/4
Step-by-step explanation:
-0.25
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
Answers
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
Read more about test of validity at
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4(2(-2)+3(3)-2(4.2)
......
Answers
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answers
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
Which equation is represented by the graph?
Answers
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
a recipe which yields 5 serving calls for 2 cups of milk. how many cups of milk are needed to make 9 servings?
Answers
Answer:
3.6 cups of milk
Step-by-step explanation:
Create a proportion where x is the number of cups of milk needed for 9 servings:
[tex]\frac{5}{2}[/tex] = [tex]\frac{9}{x}[/tex]
Cross multiply and solve for x:
5x = 18
x = 3.6
So, 3.6 cups of milk are needed to make 9 servings.
I need to know the answer to this question
Answers
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
what is the following sum in simplest form? /8+3/2+/32
Answers
Answer:
C
Step-by-step explanation:
What is the answer for all of them
Answers
4/3: 1.3 (put a line over the 3 since it’s repeating) and 130%
7/12: 0.583 (put line over 3) and 58.3%
10/9: 1.1 (put line over the second 1) and 110%
A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c ?
Answers
Answer:
Step-by-step explanation:
Diameter = 6 units
Radius = Diameter/2 = 6/2 = 3 units
Taking π=3.14
Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c
c = 18.84
Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b
b = 28.26
So,
b + c = 28.26 + 18.84 = 47.1
Answer:
b=6π the unit(cm)
c=18.84 the unit(cm)
b+c=
9+18.84=27.84
Step-by-step explanation:
circumference=c
diameter=d
radius=r
area=b
d=2r
6=2r
6=r
2
r=3
b=πr^2
b=3×3π
=9π
c=2πr
=2(3.14)3
= 3.14×6
=18.84
The solution to an inequality is represented by the number line
Answers
2/3-5/6what is 2 / 3 - 5 / 6
Answers
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]
[tex] = \frac{ - 1}{6} [/tex] ✅
1+1×5−6+8×(4+4)−62
Find the ans here
Answers
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
WILL GIVE BRAINLIEST!!
find x
5x-3(x-8)=2x-4
Answers
Answer:
no solution
Step-by-step explanation:
5x-3(x-8)=2x-4
Distribute
5x -3x+24 = 2x-4
Combine like terms
2x +24 = 2x-4
Subtract 2x from each side
2x+24-2x = 2x-4-2x
24 = -4
This is not a true statement so there is no solution
Answer:
No Solution
Step-by-step explanation:
5x-3(x-8)=2x-4
1) Distribute:
5x -3x+24 = 2x-4
2) Simplify:
2x +24 = 2x-4
3) Subtract 2x from both sides
2x+24-2x = 2x-4-2x
We are now left with (after simplifying): 24 = -4
**NO SOLUTION!**
a trapezoid is shown in the grid
Answers
Answer:
To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.
6 tables or 8 chair cost Rs 2400.What will 24 tables and 12 chairs cost?
Answers
Step-by-step explanation:
cost of 1 table=2400/6=rs.400
or ,cost of 1 chair=2400/8=rs.300
now,
cost of 24 tables=24×400=9600
or,cost of 12 chairs=12×300=3600
or,
may be the question is,
6tables + 8 chairs= 2400
24 tables + 12 chairs=?
solution,
cost of 1 tables=rs.200
cost of 1 chair=rs.150
now,
cost of 24 tables=200×24=4800
cost of 12 chairs=150×12=1800
so, ans= 4800+1800=6600
Answer:
Rs.13200
Step-by-step explanation:
cost of 6 tables=Rs.2400
or,
cost of 8 chair=Rs.2400
cost of 1 table=2400/6
=Rs.400
cost of 1 chair=2400/8
=Rs.300
cost of 24 tables=24*400
=Rs.9600
cost of 12 chairs=12*300
=Rs.3600
total cost of 24 tables and 12 chairs=9600+3600
=Rs.13200
Will give brainliest answer
Answers
Answer:
a
Step-by-step explanation:
plz gimme brainliest
Find the measure of the missing angle.
124 degrees
117 degrees
106 degrees
127 degrees
Answers
Answer:
measure of missing angle is 127°
Step-by-step explanation:
let the missing angle be'x'
53°+x=180°{ straight angle }x=180-53x=127°hope it helps.stay safe healthy and happy...Answer:
The missing angle is 124°.
Step-by-step explanation:
Let the missing angle be x°.
53° + x° = 180° ( straight angle )
x° = 180° - 53°
x° = 137°
Hope it is helpful.....The product of 9 and 4 is divided by 6 .Make mathematical expressions and simplify
Answers
Answer:
The answer is 6
Step-by-step explanation:
9×4/6
=36/6
=6.