Answers
1.89
Solution:
We have -44x - 86 = -3
First, we move the non x terms to the RHS of the equation. To do this, we add 86 to both sides.
Note: if a = b, then a + c = b + c
Therefore, -44x - 86 + 86 = -3 + 86
or, -44x = 83
Next, divide both sides by -44, which is the coefficent of x
Note: if a = b, then a ÷ c = b ÷ c
-44x
-44
=
83
-44
or, x = -1.89
Explaination:
This is right I guess
Related Questions
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answers
Answer:
17.6 minutes
Step-by-step explanation:
[tex]\frac{4}{5} = \frac{x}{22}[/tex]
[tex]5x=22[/tex]
[tex]x=\frac{22}{5}[/tex]
[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]
X^3-4x^2+3x+2=0 find all the real values of x
Answers
Step-by-step explanation:
The factor of the polynomial is (x-2)
We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor
We therefore equate
x³-4x²+3x+2=(x-2)(ax²+bx+c)+r
x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r
We group terms on the RHS
x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r
By equating the terms on both sides,
ax³=x³,a=1
Next,
b-2a=-4
b-2(1)=-4
b-2=-4
b=-4+2
b=-2
Next,
c-2b=3
c-2(-2)=3
c+4=3
c=-1
Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1
We now find the zeros of x²-2x-1
which are 1+√2 and 1-√2
The values of x are therefore 2,1+√2, and 1-√2
Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)
Answer:
2, 1 +/- sqrt2
or 2, 2.414, -0.414 (correct to the nearest thousandth).
Step-by-step explanation:
Let x = 2: then
f(2) = 8 - 16 + 6 + 2 = 0
So x = 2 is one of the zeros.
So one factor of the function is x-2.
If we divide the function by (x - 2) we get:
x-2)X^3-4x^2+3x+2(x^2-2x-1
x^3- 2x^2
-2x^2+3x
-2x^2+4x
-x+2
-x+2
.......
So x^2-2x-1= 0
x = [-(-2 +/- sqrt(4 - 4*-1)] / 2
x = (2 +/- sqrt8) / 2
= 1 +/-sqrt8/2
= 1 +/- sqrt2
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answers
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]
Where, n = 8.
Plug in the value of n into the formula
[tex] = \frac{(8 - 2)180}{8} [/tex]
[tex] = \frac{(6)180}{8} [/tex]
[tex] = \frac{1,080}{8} = 135 [/tex]
x = 180 - 135 (straight line theorem.)
x = 45°
A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.
Answers
Answer:
Approximately [tex]0.19[/tex].
Step-by-step explanation:
The cards were drawn with replacement. Therefore, the probability of drawing a red card will be [tex](3 / 5)[/tex] at every one of the seven draws. The probability of not drawing a red card would be [tex](1 - (3/5)) = (2/5)[/tex].
One way to get three red cards out of the seven draws would be [tex]\verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green![/tex]. That corresponds to a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex].
However, there are many other ways to get three red cards during the seven draws. For example:
[tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green![/tex], [tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green![/tex].[tex]\cdots[/tex].[tex]\verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red![/tex].There are [tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35[/tex] such ways in total to choose three draws out of seven draws.
These ways are mutually-exclusive. Each of these ways has a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex]. The probability for getting a red card on exactly three out of the seven draws would be:
[tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19[/tex].
Hi! can someone simplify this, thank youu
Answers
k-6:5 + 4-k:6= 6k-36+20-5k:30 =
k-16:30
Solve 5x -9= 90 step explanation
Answers
Answer:
x = 19.8
Step-by-step explanation:
5x - 9 = 90
5x = 90 + 9
5x = 99
x = 19.8
Hope this helped!
Answer:
19.8
Step-by-step explanation:
5x-9=90
Cancel the 9 on both sides, so you get:
5x=90+9
5x=99
x= 19.8
What is the difference between 1.37 and 0.52
Answers
Answer:
0.85
Step-by-step explanation:
1.37-0.52=0.85
Find the values of x and y in the equation below.
Answers
Answer:
The answer is a^6 b^18
Step-by-step explanation:
Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris’s purchases, including sales tax. If necessary, round your answer to the nearest cent.
Answers
Answer:
$75.60
Step-by-step explanation:
First, find the total cost without tax:
42 + 28
= 70
Then, to find the price with sales tax, multiply this by 1.08:
70(1.08)
= 75.6
So, the total cost of her purchases was $75.60
Andy runs 43.68 meters in 6.825 seconds. If Andy runs at a constant speed, how far does he run in one second?
Answers
Answer:
7 meters
Step-by-step explanation:
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
Answers
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
$
4
m
+
$
10
m
+
$
15
−
$
15
=
−
$
4
m
+
$
4
m
+
$
40
−
$
15
(
−
$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.
Simplify: –3|–2| + 4|–5
Answers
Answer:
14
Step-by-step explanation:
–3|–2| + 4|–5|
-3 · 2 + 4 · 5
-6 + 20
14
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answers
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
how would you round 1.2983 to the thousandth
Answers
Answer:
1.298
Step-by-step explanation:
After the decimal the numbers go
tenths Hundredths and then thousands
Then take the number that's after thousands and raise the thousands number up is the numbers after is above 5 keep it the same if its 4 or under.
A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?
Answers
Answer:
4y+7
Step-by-step explanation:
(12y² + y – 35)/(3y – 5)
=(3y-5)(4y+7)/(3y-5) (factorization)
=4y + 7
Hope this helped!
The amount that's earned per hour by the tailor will be 4y + 7.
Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:
= Amount earned / Total number of hours used
= (12y² + y – 35) / (3y – 5)
= 4y + 7
The amount earned per hour is 4y + 7.
Read related link on:
https://brainly.com/question/18736693
what is the quotient of 8,187 divided by 24
Answers
Answer:
341.125
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Solve: x=4+(4x-4)1/2
Answers
Answer:
x = 10
Step-by-step explanation:
x = 4 + (4x-4) ^ (1/2)
First, we rewrite the expression:
x = 4 + (4x-4) ^ (1/2)
x = 2 (2+ (x-1) ^ (1/2))
x = 4 + 2 (x-1) ^ (1/2)
From here we get a solution for x = 10
To check it we substitute x = 10 in the expression:
10 = 4 + 2 (10-1) ^ (1/2)
10 = 4 + 2 (9) ^ (1/2)
10 = 4 + 2 (3)
10 = 4 + 6
10 = 10
Answer:
The solution is:
x = 10
Answer:
C. x = 10
Step-by-step explanation:
edgen 2020
HELP ASAP PLEASE :)))
.
.
.
.
.
Answers
Answer:
The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.
Step-by-step explanation:
Answer: First one, no? I'm not sure its been a while
Step-by-step explanation:
Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?
Answers
Answer:
24
Step-by-step explanation:
8 times 3=24
Rachel is buying lunch for herself and two friends . She has a coupon for $20 off the total bill. Rachel wants to spend less than $60. Write an inequality to find out the cost of the meal if they all order the same meal for lunch.
Answers
Answer:
1201
Step-by-step explanation:
4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *
Answers
Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answers
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m
Answers
Answer:
A
Step-by-step explanation:
Answer:
option (a) is correct.
2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m
Step-by-step explanation:
Given expression 3m+1-m
We have to choose an equivalent expression from given options.
Equivalent expression are those expression that looks different but are same.
Like 4+2 = 6 and 3+ 3 = 6
Both have same value but looks differently.
Like terms are term having same variable with same degree.
Consider the given expression 3m+1-m
Simplify by adding like terms,
3m + 1 - m = (3-1) m + 1
Thus, (3-1) m + 1 = 2m + 1
Also 2m + 1 can be written as m + m + 2 - 1
Thus, option (a) is correct.
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?
Answers
Answer:
£530
Step-by-step explanation:
Answer:
£530
I hope this helps!
9) Solve: a^2+ b^2= c^2 for b
Answers
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA
Answers
Answer:
The family will need to purchase 187 square ft carpeting.
Step-by-step explanation:
Area of Rectangles
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP
Answers
Answer:
315
Step-by-step explanation:
The sum of -265 and -156:
-265 + (-156)
= -265-156
= -421
The sum of 356 and -250:
356 + (-250)
= 356-250
= 106
The sum of both:
-421 + 106
= -315
Hope this helped!
Jane has 6/7 of a yard of ribbon. She uses 3/4 of a yard to trim an ornament. how much ribbon is left?
Answers
Answer:
2/28
Step-by-step explanation:
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answers
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
2. The length of a football field, including the two end zones, is
How long is the football field in feet?
Write the conversion factors that relate yards and feet.
120 yd
360 ft
120 ft
or
40 yd
3. What are the desired units?
What are the original units?
Circle the conversion factor above that has the desired units in the numerator
and the original units in the denominator.
Answers
Answer:360 ft and question 3 isn’t fully listed
Step-by-step explanation:it’s 100 yards and 10 in each end zone so 120x3=360