Answer:
y = 6x - 2
Step-by-step explanation:
We will use the slope-intercept form of a line to help us. We know the slope, we need to determine the y-intercept. To find this, we need an x and y on the line and the slope. Fortunately, they have given us all of the information. An ordered pair is in the form (x,y) So we will use x = 1 and y = 4 from the point they have given us (1,4) They have also given us the slope of 6. We will plug this all into our equation and solve for b the y-intercept.
y = mx + b
4 = 6(1) + b
4 = 6 + b Subtract 6 from both sides of the equation.
-2 = b
Now, write the equation
y = mx + b
y = 6x -2
Multiply the rational expressions
3(x-4)² 5(x + 4)5
8(x+4)³ 3(x-4)5
If the measure of A is 28 less than three times the measure of B. A and B are a linear pair. Find the measure of A and B.
Measure of linear pair A and B are 86 and 38 respectively.
Let the measure of B = x
And measure of A = 3x – 28
As A and B are linear pair. Therefore their sum will be equal to 180
That is numerically,
A + B = 180
Putting the required values of A and B we will get
3x – 28 + x = 180
4x = 180-28
4x = 152
x = 38
Hence the measure of A = 3*38 – 28 = 86
And the measure of B = x = 38
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69+69+69-6+9-69+69+420
Answer:780
Step-by-step explanation:
Answer
The answer would be 630
Step-by-step explanation:
69+69 = 138
138+69 =207
207 - 6 = 201
201 + 9 = 210
210 -69 = 141
141 + 69 =210
21 + 420 = 630
Perform the indicated operation.
4
0 -4 -8
0
1
0
0
0
1
-1
3
4R3+R1 R1
0
0
0
1
0
0
1
-1
3
Answer:
Can someone help me please
Answer: 4 0 4
Step-by-step explanation:
33. How many 3-cup servings are in 4 cups? A. 2 B. 3 C. C. 4 D. 12
According to Chapter 3: Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least _________________.
Group of answer choices
4'x6'
8'x8'
4'x8'
6'x10'
Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
What is the size (area) of sheet lumber?The most common size (area) for sheet lumber is 4 x 8 feet, about 32ft² or 2.97m².
Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.
This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.
Data and Calculations:Length of sheet lumber = 8 feet
Width of sheet lumber = 4 feet
Area of sheet lumber = 32 ft² (8 x 4)
Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
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I need help I can’t find answer
Reason: It's 3 spaces from J to K, or vice versa.
We can subtract and use absolute value to get the same result
|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3
or
|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3
Can you please help me solve these math problems questions 49-62
Answer:
The answer to your question is 16
A(6-1) , В(2,3)
help pls
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 7.
Use the variable b for the unknown number.
Answer:
8b + 9 = 7
Step-by-step explanation:
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Using it's concept, the relative frequencies are given as follows:
a) 124/639
b) 43/213
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
For this problem, the number of students is:
583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.
620 responded study hard, hence the relative frequency is given as follows:
620/3195 (simplifying by 5)
124/639
645 responded goal in mind, hence the relative frequency is given as follows:
645/3195 (simplifying by 5)
129/639 (simplifying by 3)
43/213
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Given: A= {2, 4, 6, 8}
B= {1, 3, 5, 7}
C= {3, 6, 9}
7. (A intersection to B) union C =
Please Answer pls I need it tomorrow
Wrong question.....................
Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Use a TI-83 Plus/TI-84 Plus calculator. Round your answers to at least one decimal place.
The variance and standard deviation for the frequency of pupils per teacher in some states of US is; Variance= 4.62 = 4.6 and Standard Deviation = 2.14 = 2.1
What is variance?Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data.
The standard deviation(σ) of a random variable, is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means;
Standard Deviation = √variance.
For the given data the sum of frequencies = 1+16+11+7+1+2= 38.
Midpoint is 12,15,18,21,24,27.
ni x mi = 12,240,198,147,24,54.
Sum of ni + mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)² is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)² = 175.62.
Variance = Sum of (mi - u)² / sum of frequencies
= 175.62/38
= 4.62 = 4.6.
Standard deviation = √variance.
= √4.62
= 2.14 = 2.1.
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Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
She will need 11 containers.
How to calculate the fraction?From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.
The containers needed will be:
= 8 ÷ 3/4
= 8 × 4/3
= 32/3
= 11
He will need 11 containers.
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Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
ITS DUEE TODAY PLEASEDE
Answer:
scale factor from A to B = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original
scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )
Make x the subject of this formula: c = 7x - hx
Answer:
x = c / (7 - h)
Step-by-step explanation:
c = 7x - hx
c = x(7 - h)
x = c / (7 - h)
Can someone explain this to me?
What are the values of c for which f has a removable discontinuity?
1 only
5 only
1 and 7 only
1,5, and 7
Answer:
1 only
Step-by-step explanation:
1 only, as the other points have defined values.
can someone help me with this
Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x hours what does the y intercept represent
The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.
The y-intercept represents the total distance Jordan has to walk.
What is the distance?Distance is defined as the product of speed and time.
We have to determine the distance.
So distance = speed× time
Given that his speed is 4 mph and x hours of walking, then:
So distance = 4 × x
Let it Start of the trail: 0 miles
And the end of the trail: 18 miles
The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:
⇒ y = 17 - 4(x)
Here y would be the distance Jordan still has to walk.
The y-intercept would be if substitute x = 0, then:
⇒ y = 17- 4(0)
⇒ y = 17
This represents the total distance Jordan has to walk
Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.
The y-intercept represents the total distance Jordan has to walk.
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Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
It is required to find the measurements that could be the dimensions of rectangle B.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given :
Length=6 cm
width=4cm
According to given question we have,
Divide the length and the width of the rectangle we get=
k=Length/width
k=6/4
k=1.5
This means that a scaled copy of rectangle A must have a value of 1.5
when the dimensions are divided.
Possible rectangles are:
A. 12cm by 8cm
Divide the length and the width of the rectangle we get,
k=12/8
k=1.5
B. 48cm by 32cm
Divide the length and the width of the rectangle we get,
k=48/32
k=1.5
Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
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Exit This table reflects the result of a survey conducted in a town to find out the number of cars of a particular color. Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Graph? A. 10 to 20 B. 20 to 100 C. 0 to 50 D. 0 to 30
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
Simplify
9^4/9^24
Report your answer as a fraction.
The simplified fraction is [tex]\frac{1}{9^{20} }[/tex].
The fraction is [tex]\frac{9^{4} }{9^{24} }[/tex], we have to solve the fraction in the simplest form
[tex]\frac{9^{4} }{9^{24} }[/tex]
[tex]9^{4-24}[/tex]
As we know that, [tex]a^{m}[/tex]/[tex]a^{n}[/tex]= [tex]a^{m-n}[/tex]
[tex]9^{-20}[/tex]
1/[tex]9^{20}[/tex]
Therefore the simplified value is 1/[tex]9^{20}[/tex] which is in the form of a fraction.
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I'm looking for the solution and answer, thanks :)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The function is given below.
f(x) = 7 / (x + 5)
The difference quotient in the form [f(x) - f(a)] / (x - a) will be
[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]
Further, simplify the expression, then we have
⇒ - 7 / (x + 5)(a + 5)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
2 + (-5) = ? I can't figure this out
Answer:
Step-by-step explanation:
2 + (-5)
just like subtracting
2-5
=-3
Answer:
-3
Step-by-step explanation:
I have had this question before, and -3 is the answer.
How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
The function g(x) increases at a faster rate and has a greater initial value.
Simplify f(x).[tex]f(x) = \left(\sqrt{16}\right)^{x}[/tex][tex]f(x) =\left(\sqrt{4^{2}}\right)^{x}[/tex][tex]f(x) = \left(4\right)^{x}[/tex]Simplify g(x).[tex]g(x)=3\left(\sqrt{64}\right)^{x}[/tex][tex]g(x)=3\left(\sqrt{8^{2}}\right)^{x}[/tex][tex]g(x)=3\left(8\right)^{x}[/tex]Compare the functions f(x) and g(x).f(x) and g(x) are not equivalent as the bases of the exponents are different.We will find the initial value for both our functions (value of functions when x is 0).For x=0,[tex]f(0)=\left(4\right)^{0} = 1[/tex][tex]g(0)=3\left(8\right)^{0}=3*1=3[/tex]The initial value of g(x) is greater than the initial value of f(x).In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.With the help of a graphing tool, the two functions were plotted.The function g(x) increases at a faster rate than the function f(x)(see the attached figure).That means that the value of g(x) is greater than the value of f(x) for the same value of x.Thus,The function g(x) increases at a faster rate and has a greater initial value.To learn more about graph, visit :
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You throw a fair six-sided die twice, each number has the same probability,
then add the two numbers. What is the probability of getting a number
divisible by five ?
The probability of getting a number divisible by five is 1 / 9.
We are given that:
a fair six-sided die is thrown 2 times.
Sample space will be:
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five
Possible outcomes:
= { (1, 4), (2, 3), (3, 2), (4, 1) }
P(E) = 4 / 36 = 1 / 9
Therefore, the probability of getting a number divisible by five is 1 / 9.
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