Answer:An equation in the slope-intercept form is written as
y=mx+b
Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.
Example
Find the equation of the line
Choose two points that are on the line
Calculate the slope between the two points
m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23
We can find the b-value, the y-intercept, by looking at the graph
picture28
b = 1
We've got a value for m and a value for b. This gives us the linear function
y=−23x+1
In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.
We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope
m=−23
This gives us the equation
y=−23x+b
From this we can solve the equation for b
b=y+23x
And if we put in the values from our first point (-3, 3) we get
b=3+23⋅(−3)=3+(−2)=1
If we put in this value for b in the equation we get
y=−23x+1
which is the same equation as we got when we read the y-intercept from the graph.
To summarize how to write a linear equation using the slope-interception form you
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Once you've got both m and b you can just put them in the equation at their respective position.
Which of the following shows the correct first step for finding the midpoint between the points (2,2) and (-1, 5)
Answer:
A
Step-by-step explanation:
By adding both the x and y coordinates individually and dividing them by two u get the mid point
A chemical company makes two brands of antifreeze. The first brand is 40%pure antifreeze, and the second brand is 90%pure antifreeze. In order to obtain 160
Complete question:
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 90% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
Amount of 40% pure antifreeze = y = 96gallons
Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons
Step-by-step explanation:
Brand A = 40% pure
Brand B = 90% pure
Therefore to obtain 160 gallons that contains 60% pure antibfreeze:
Let y = Amount of 40% pure antifreeze required
Therefore (160 - y) = Amount of 90% pure antifreeze required.
Expressing mathematically,
0.4y + (160 - y) (0.9) = 160×0.6
0.4y + 144 - 0.9y = 96
-0.5y = 96 - 144
-0.5y = - 48
y = 48 / 0.5
y = 96
Amount of 40% pure antifreeze = y = 96gallons
Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons
Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of all adults that have high blood pressure.
Answer:
The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < [tex]\hat{p}[/tex] < 0.314695
Step-by-step explanation:
The confidence interval for a proportion is given by the following formula;
[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
Where:
x = 33
n = 136
[tex]\hat{p}[/tex] = x/n = 33/136 = 0.243
z value for 95% confidence is 1.96
Plugging in the values, we have;
[tex]CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}[/tex]
Which gives;
0.17059 < [tex]\hat{p}[/tex] < 0.314695
Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < [tex]\hat{p}[/tex] < 0.314695
From the above we have;
23.2 < x < 42.798
Since we are dealing with people, we round down as follows;
23 < x < 42.
Simon offered a customer a cubic box with 3-inch sides. The customer told Simon to increase each side of the box by an inch
Answer:
64 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume of a cubic box with side length of s inches can be calculated using the following formula
[tex]V = s^{3} in^{3}[/tex]
If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)
[tex]V = 4^{3} in^{3} = 64 in^{3}[/tex]
Therefore the final and new volume is
64 [tex]in^{3}[/tex]
Answer:
The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.
Simplify 19 – 1.67 + (–2.4)
The reciprocal of two less than a certain number is twice the reciprocal of the number itself. What is the number?
Answer:
Number is 4
Step-by-step explanation:
Given: reciprocal of two less than a certain number is twice the reciprocal of the number itself
To find: The number
Solution:
Let the number be x
Reciprocal of two less than a certain number = [tex]\frac{1}{x-2}[/tex]
Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]
According to question,
[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]
So, number is 4
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box?
Answer:
30 apples
Step-by-step explanation:
600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.
The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30
The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20
The sum of fx = (56 + 116 + 240 + 124 + 64) = 600
The mean number of apples can be calculated using the values obtained thus :
Mean = fx ÷ f
Mean = 600 ÷ 20
Mean = 30
Therefore, the mean number of apples in a box is 30
Learn more :https://brainly.com/question/15528814
For what value of the variable will
b
the value of 3−5c be 1 less than the value of 1−c?
Answer:
c = 3/4
Step-by-step explanation:
Lets set up an equation.
You can get
3-5c + 1 = 1-c to show that it is one less.
now we can solve it.
So by combining like terms, we get:
4-5c = 1-c
that then becomes:
3-5c = -c
--> 3 = 4c
--> c = 3/4
Answer:
c=3/4
Step-by-step explanation:
I do RSM :)
Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?
Answer:
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40
Step-by-step explanation:
El número total de páginas en el cuaderno = 40
Número de páginas utilizadas = 2/5 × 40 = 16 páginas
Número de páginas extraídas = 1/8 × 40 = 5 páginas
Número de páginas disponibles = 40 - 16 - 5 = 19 páginas
Fracción del total restante = 19/40
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.
How can I do 10(a)(ii) and 10(b)?n
Answer:
Step-by-step explanation:
10(a) (ii)=-10a
10 (b)=10b
n=10b
What type of scatterplots are they ?
(Left to right)
1 .
2.
3.
Answer:
1. positive
2. negative
3. null
Step-by-step explanation:
I looked up "all types of scatterplots and looked at which ones were on the screen
what’s the answer of this and how do you get it?
Answer: the area of the star is 1.94in squared
Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.
So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also
Step-by-step explanation:
PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS
SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO
ES IGOAL A LA MITAD DEL LADO DEL CUADRO
A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]
LUEGO SE MULTIPLICA POR 4
[tex]1.96 m^{2}[/tex]
SE ENCUENTRA EL ÁREA DEL CUADRADO
A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]
FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA
A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]
another due for tomorrow help please
Answer:
189 cm²
Step-by-step explanation:
A= bh
h=9 , b=21
21×9=189 cm²
write the expression in factored form. m2 + 22m + 121
Answer:
(m+11)^2
Step-by-step explanation:
break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.
m^2+22m+121
m^2+11m+11+121
Factorize the first 2 terms then the next 2 terms.
m^2+11m = m(m+11)
11m+121 = 11(m+11)
Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.
(m+11)(m+11) = (m+11)^2
Hope this helps
Good Luck
please help. right answer will be brainliest.
Question 12(Multiple Choice Worth 5 points)
(05.02 LC)
What is the area, in square units, of the parallelogram shown below?
A
В
6 units
D
C
-4 units
O 12 square units
18 square units
O 24 square units
36 square units
Answer:
24 square units
Step-by-step explanation:
6×4=24
Answer:
24 square units
Step-by-step explanation:
In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula? P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction
a.5
b.12
c.60
d.120
The answer is C,60
Answer:
C
Step-by-step explanation:
EDGE2021
The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
What formula is used to calculate the monthly payment?The value of the monthly payment is given by;
P = PV × i / 1-(1+i)⁻ⁿ
Where,
PV is the present value or the amount of the loan.
i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.
n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.
Therefore,
The value should be used for n, the number of periods over which the loan is repaid;
n = 6 years × 12 months/year = 60 months = 60 periods.
Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
To know more about Monthly payment click the link given below.
brainly.com/question/26351994
#SPJ5
There are 4 green marbles, 5 red marbles, and 6 blue marbles in a bag. Find the probability of drawing a red marble, replacing it back in the bag, and then drawing a second red marble *
Answer:
1/9
Step-by-step explanation:
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P(red)= number of red/ total = 5/15 = 1/3
Put it back in the bag
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P (red)= number of red/ total = 5/15 = 1/3
P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9
Find the equation of the line. Use exact numbers. y= x+ i cant get a picture of the graph so x on the graph is 2 and y on the graph is 3
Answer: y = x + 1
Step-by-step explanation:
This is poorly written, but as i understand:
We have the general equation:
y = x + i
where i is a constant, and we want this function to pass through the point x = 2 and y = 3.
Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get
y = 3 = x + i = 2 + i
3 = 2 + i
3 - 2 = i
1 = i
So our equation is y = x + 1
The length of a rectangle if the length is twice the size of the width increased by one
Answer:
I'm not confident on this but:
L = 2(W + 1)
Hopefully this might help somewhat :]
L: Length
W: Width
Which of the following statement justifies why the triangle shown below is not a right triangle?
Answer:
The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Step-by-step explanation:
A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].
For a triangle to be right angled triangle, following equation must hold:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].
Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.
In the given question figure, largest side, XY = 13 units
Other two sides are:
YZ = 4 units
XZ = 12 units
For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:
[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]
[tex]XY^{2} = 13^{2} = 169[/tex]
[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]
[tex]160 \neq 169[/tex]
Hence, the given triangle is not a right angled triangle because of following:
[tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Hence, option A. is correct answer.
Answer:
its A
Step-by-step explanation:just took test and got 100%
How to find the length when the perimeter and width is given
Answer:
Step-by-step explanation:
Step 1:Width x 2
Step 2:Perimeter — step 1
Step 3:Step 2 divided by 2
please help quick !!!
Answer:
(-x + 3)/4 = 12
Step-by-step explanation:
By doing the workingout for this expression you will get the same solution.
Please help asap! giving brainliest!!! The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour.
Answer:
Hello There. The correct option is
b.) The data in country B are more symmetric than the data in country A.
Step-by-step explanation:
The statements describes the symmetry of the data in the two box plots
a.) The data in country A are more symmetric than the data in country B.
b.) The data in country B are more symmetric than the data in country A.
c.) The data in both countries have about the same symmetry.
d.) The symmetry of the data cannot be determined by looking at the box.
Hope It Helps!
Step-by-step explanation:
The correct statement about the median will be the following which is calculated from average wind speeds as:
The median wind speed for country B is greater than the median wind speed for country A.The median wind speed for A is about 7 miles.The median wind speed for B is about 9 miles.What is median?
It is the center most number of the data available to us which divides the data in 2 equal parts.
How to calculate median?
We have been given the average wind speeds of two countries.
Median of country A =(1+9.5)/2 th term in the box
=5.25th term in the box which is 7.
Median of country B=(1.2+11)/2
=6.1 th term which is 9.
Hence median of country B is greater than median of country A and value of median A is 7 and of B is 9.
Learn more about median at https://brainly.com/question/26151333
#SPJ2
Answer the question in the file, please.
Answer:
The answer is 41/25000
Step-by-step explanation:
P(A)=41/100
P(B)=1/10
P(AB)=1/25
P(A,B and AB)=41/100 * 1/10 * 1/25
=41/25000
2x3y + 8xy − 4x2y − 16y how to I rewrite by taking out the GCF?
Recreate the Unit circle below. Label in both degree and radians and identify the points (cosx, sinx). Are there any patterns that will help you remember all the points?
preform the operation indicated 3x^2(2x^2-5x+1)
Answer:
6x^4 -15x^3 + 3x^2
Step-by-step explanation:
What we want to do here is to multiply what is outside the bracket with what is inside
That would be;
3x^2(2x^2 -5x + 1)
= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)
Opening the brackets, we have;
6x^4 -15x^3 + 3x^2
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 centimeters long, 6 centimeters wide, and 4 centimeters cm tall. If they used 13,000cm³ of concrete, how many bricks did they make?
Answer: 54 bricks
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism (V) : length x width x height
Replacing with the values given and solving for v (Volume)
V = 10 x 6 x 4
V = 240 cm3 (volume of one brick)
Finally, we have to divide the amount of concrete used by the volume of each brick:
13,000cm³ /240 cm3 = 54.16 = 54 bricks
Feel free to ask for more if needed or if you did not understand something
The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm high.
What is the width of the screen?
Draw a diagram to illustrate your answer.
Answer:
Width of screen =57.44 cm
Step-by-step explanation:
Please refer to the attached image:
The TV screen is usually in the form of a rectangle.
The diagonal of the TV is termed as the screen size.
Size is given to be 70 cm
Height = 40 cm
As per the attached image:
BC = 40 cm
BD = 70 cm
Pythagoras theorem is given as:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Using pythagoras theorem in [tex]\triangle BDC[/tex]:
[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]
[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]
Hence, width of screen, CD =57.44 cm
Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10