Answer:
The mistake is in line 2
Step-by-step explanation:
(BODMAS) bracket (multiplication) before subtraction
y+7=-2(x+3)
intercept form ):
Answer:
y = -2x - 13
Step-by-step explanation:
Answer:
y = - 2x - 13
Step-by-step explanation:
First, distribute out the two on the right side of the equation.
y + 7 = - 2x - 6
Next, subtract 7 from both sides to isolate the y variable on the left side.
y = - 2x - 13
That is your answer in slop-intercept form.
Is it possible to ride a bike 200 miles in 13 hours
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
The equation of the graphed line in slope-point form using (2,-1) is ___, and it’s equation in slope-intercept form is ___.
Answer:
[see below]
For "slope-point" form:Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]
Finding the Slope:We need to find the slope of the line given.
Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]
We are given the points (2,-1) and (-2,-2).
[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]
The slope of the line is 1/4.
Creating the Point-Slope Equation:Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]
[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]
Creating the Slope Intercept Form Equation:Slope intercept form is: [tex]y=mx+b[/tex]
We can convert our point slope equation into slope intercept form.
[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]
The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
Answer:
therefore the population of the culture is 2313
Work out m and c for the line
y= x + 3
m=
c=
Answer:
1
3
Step-by-step explanation:
The equation of a graph is normally written in form Mx+c.
So, here there is x+3.
Thus, m = 1
C = 3
Hope this helps
Can someone help me with this?
Answer:
E= 52 degrees and F=21 degrees
(sorry)
Step-by-step explanation:
Determining a Number of Solutions
Quick
Check
Determine whether the systems have one solution, no solution, or infinitely many solutions.
3x - 2y = 3; 6x - 4y = 1
One Solution
No Solution
Infinitely Many Solutions
3x - 5y = 8,5x - 3y = 2
3x + 2y = 8; 4x + 3y = 1
3x - y = 3; 2x - 4y = 2
3x - 4y = 2, 6x - y = 1
Intro
Done
Answer:
No Solution
Step-by-step explanation:
For one solution;
it will be consistent and independent ( example, x = 1 and y = 2)
For no solution;
it will be inconsistent and independent ( example, 0 = 2)
For many solution;
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
ONE SOLUTION
3x-5y=8; 5x-3y=2
3x+2y=8; 4x+3y=1
NO SOLUTION
3x-4y=2; 6x-8y=1
3x-2y=3; 6x-4y=1
INFINITELY MANY SOLUTIONS
3x-6y=3; 2x-4y=2
Step-by-step explanation:
i got this right on edge
Please help i will mark brainliest for anyone who can help me 15 points on the line
A:a^5 divided by a^2
B:C^4 divided by c^3
Answer: A_a^3
B_c^1
Step-by-step explanation:they work like integers therefore vlby sharing the same base and Having the division sign u just subtract the powers
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? \((\pi^2-4):\pi^2\) a \(\pi^2:(\pi^2-4)\) b \(\pi:(4-\pi)\) c \((4-\pi):\pi\) d
Answer:
B, π:(4-π).
Step By Step:
With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π - green. The area that is left of the square after the circles are painted green is 144-36π - White
So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B
Multiply the polynomials
A student simplified the rational expression using the steps shown.
Answer:
No, the answer is not correct
Step-by-step explanation:
In the second step, the student didn’t use the quotient of powers property correctly. They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5). They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.
The resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5
The expression simplified by the student is an indicinal expression
Indices are mathematical expressions that show the number of times a number or variable is being multiplied by itself.
According to the law of indices
[tex]a^m \times a^n=a^{m+n}[/tex][tex]\frac{a^m}{a^n}=a^{m-n[/tex]where a, and n are integers or fractions
Given the expression simplified by the student expressed as:
[tex](\dfrac{x^\frac{2}{5} \times x^\frac{4}{5} }{x^{\frac{2}{5} }})^\frac{1}{2}[/tex]
Using the laws above:
[tex]=(\dfrac{x^{\frac{2}{5}+\frac{4}{5} } }{x^{\frac{2}{5} }} )^\frac{1}{2} \\=(\dfrac{x^\frac{6}{5} }{x^\frac{2}{5} })^\frac{1}{2} \\[/tex]
Based on the law of division,
[tex]=(x^{\frac{6}{5}-\frac{2}{5} })^\frac{1}{2} \\=(x^{\frac{6-2}{5} })^\frac{1}{2} \\=(x^\frac{4}{5})^\frac{1}{2} \\=x^{\frac{2}{5} }[/tex]
Hence the resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5.
Learn more about indices here: https://brainly.com/question/24160371
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
No Solutions
2x + 9 + 3x + 1 = _x + _
Answer:5x+10
Step-by-step explanation:
2x+3x+9+1=5x+10
Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanation please and thank you so much
Answer:
An apple costs £0.25
A banana costs £0.34
Step-by-step explanation:
Let a be apples and b be bananas.
10a+5b=4.2
8a+10b=5.4
Solve for a:
10a+5b=4.2
Subtract 5b from both sides
10a=4.2-5b
Subtract 4.2 from both sides
10a-4.2= -5b
Multiply both sides by -1
-10a+4.2=5b
8a+10b=5.4
Subtract 10b from both sides
8a=5.4-10b
Subtract 5.4 from both sides
8a-5.4= -10b
Multiply both sides by -1
-8a+5.4= 10b
Divide both sides by 2
-4a+2.7=5b
Combine equations:
-4a+2.7= -10a+4.2
Add 10a to both sides
6a+2.7=4.2
Subtract 2.7 from both sides
6a=1.5
Divide both sides by 6
a=0.25
An apple costs £0.25
Solve for b:
10a+5b=4.2
Subtract 10a from both sides
5b= -10a+4.2
Subtract 4.2 from both sides
5b-4.2= -10a
Multiply both sides by -1
-5b+4.2=10a
8a+10b=5.4
Subtract 8a from both sides
10b= -8a+5.4
Subtract 5.4 from both sides
10b-5.4= -8a
Divide both sides by 4
2.5b-1.35= -2a
Multiply both sides by 5
12.5b-6.75= -10a
Multiply both sides by -1
-12.5b+6.75=10a
Combine equations:
-12.5b+6.75= -5b+4.2
Add 12.5b to both sides
6.75=7.5b+4.2
Subtract 4.2 from both sides
2.55=7.5b
7.5b=2.55
Divide both sides by 7.5
b=0.34
A banana costs £0.34
If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.
10a+5b=4.2
8a+10b=5.4
a=0.25
b=0.34
1) Evaluate [(1/3)-3 X (1/2)-3 ] ÷ ( ¼)-3
2) If (7-3)2 x 7x+4 = 77, find the value of x.
Answer :
(1) [tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})=3.375[/tex]
(2) [tex]x=\frac{45}{56}[/tex]
Step-by-step explanation :
Part 1:
The given expression is:
[tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})[/tex]
[tex]=[(\frac{1}{(\frac{1}{3})^3})\times (\frac{1}{(\frac{1}{2})^3})]\div (\frac{1}{(\frac{1}{4})^3})[/tex]
[tex]=[27\times 8]\div (64)[/tex]
[tex]=[216]\div (64)[/tex]
[tex]=\frac{27}{8}[/tex]
[tex]=3.375[/tex]
Part 2:
The given expression is:
[tex](7-3)2\times (7x+4)=77[/tex]
[tex](4)2\times (7x+4)=77[/tex]
[tex]8\times (7x+4)=77[/tex]
[tex]56x+32=77[/tex]
[tex]56x=77-32[/tex]
[tex]56x=45[/tex]
[tex]x=\frac{45}{56}[/tex]
Thus, the value of x is [tex]\frac{45}{56}[/tex]
A room is 6 m long, 4.5 m wide and 3 m high. It has no window
or door. It only has 4 walls. Find the cost of painting the 4 walls at
$8.50 per m2
This is a answer of this question.
What is the value of x in the equation 5(3x + 4) = 23?
A)43/15
B)3/15
C)15/43
D)2/5
pls answer this thanks
Answer:
1) 1/10
2)2/10
3)8/10
Step-by-step explanation:
the numbers 1 and 10 both have 1 in them
Which of the following values are in the range of function graph below? check all that apply
Answer:
B: -2
C: 0
D: -1
Step-by-step explanation:
We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.
Answer:
-1
-2
-5
0
Step-by-step explanation:
Caleb bought some snacks at the store that cost a total of $9.38. If Caleb paid with a $20 bill, how much change did he get back?
Answer:
10.62
Step-by-step explanation:
20- 9.38 = 10.62
Find the area of each figure to determine the area of the composite figure. The area of the rectangle is 44 m2. The area of the circle is about m2. the area of the circle by 2 to find the area of the semicircle. To find the area of the composite figure, the area of the rectangle and the area of the semicircle.
Answer:
The area of the circle is 12.6 m2
DIVIDE the area of the circle by 2 to find area of the semicircle.
To find the area of the composite figure, ADD the area of the rectangle and the area of the semicircle.
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
Answer:
12.6
Divide
Add
Step-by-step explanation:
Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
Answer:
11 am
Step-by-step explanation:
David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
Learn more about distance here: https://brainly.com/question/23561100
Mark the statements that are true.
Answer:
Hi there!
The correct choices are: A, B, C
Step-by-step explanation:
π in radians equals to 180°
A is correct because 180/3 = 60
C is correct because 180/4 = 45
The measure angles π and π/4 is true
What is Radian and degree?Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.
Degree Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians
According to the question
To convert radians to degrees, multiply by 180/p,
like this: degrees = radians x (180 / π )
To convert degrees to radians,
multiply by p/180, like this
radians = degrees x ( π/180)
(A)
This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False
(B)
An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True
(C)
An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True
(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False
hence, measure angles π and π/4 is true, therefore option B and C are true
To learn more about radian and degree from here https://brainly.in/question/3390676
#SPJ2
Solve for x: 3 < x + 3 < 6
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to all sides
3 - 3 < x + 3 - 3 < 6 - 3
~Simplify
0 < x < 3
Best of Luck!
What is the area of this triangle? Enter your answer
Answer:
6
Step-by-step explanation:
3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6
The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector?
Answer:
120°
Step-by-step explanation:
The area of a sector of a circle is given by:
[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of sector in degrees
r = radius of circle.
The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:
[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]
The central angle of the sector is 120°
in how many years will rupees 1200 at the rate of 15% interest amount to 1740
Answer: 3 years
Step-by-step explanation:
Interest = 1740 - 1200 = 540
SI = prt / 100
540 = 1200 x 0.15 x t
540 = 180t
t = 540 / 180 = 3
Find the interest amount.
[tex]I=1740-1200=540[/tex]
Use the formula for simple interest.
[tex]I=prt/100[/tex]
Solve for t.
[tex]540=1200 \times 15\% \times t[/tex]
[tex]540=1200 \times \frac{15}{100} \times t[/tex]
[tex]540=180t[/tex]
[tex]t=\frac{540}{180}[/tex]
[tex]t=3[/tex]
3 years.Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.
13, 17, 9, 21
What is the standard deviation for the data?
Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
A.) 0
B.) 4
C) 2
D.) 26.7
Answer: B) 4
Step-by-step explanation:
Using the formula
Standard deviation = √( (Σ ( x - π)²)/n)
To get the standard deviation, first we workout the Mean which is the simple average of the data set
n = 4
(13 + 17 + 9 + 21) / 4 = 60/4 = 15
Mean(x) = 15
Then (x-π)²
13 - 15 = (-2)² = 4
17 - 15 = (2)² = 4
9 - 15 = (-6)² = 36
21 - 15 = (6)² = 36
Σ ( x - π)² = (4 + 4 + 36 + 36) = 80
Standard deviation = √( (Σ ( x - π)²)/n
= √ (80/4)
=√20
= 4.47
= 4