To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The linear function is y = -4.
Explanation:To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The formula for point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. We can choose any point (x1, y1) from the given values. Let's choose (3, -4) as a point on the line. Now we can substitute the values into the formula to find the linear function:
y - (-4) = m(x - 3)
y + 4 = m(x - 3)
To find the slope, we can use another point on the line, such as (5, -4). Substituting the values into the formula, we get:
-4 + 4 = m(5 - 3)
0 = 2m
Solving for m, we get m = 0.
Now we can substitute the slope and one of the points back into the formula to find the linear function:
y + 4 = 0(x - 3)
y + 4 = 0
y = -4
So, the linear function with the given values is y = -4.
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Given values f(3) = -4 and f(5) = -4 suggest a horizontal line as the y-coordinate remains constant at -4 regardless of x values. Hence, the linear function is f(x) = -4.
Explanation:The student wants to know how to write a linear function with the values f(3)=-4 and f(5)=-4. The first thing we need to understand here is that a linear function is represented by the equation y = mx + b, where y is the output, m is the slope, x is the input, and b is the y-intercept. In this problem, since f(3) = -4 and f(5) = -4, it indicates that the y coordinate remains the same (-4), thus forming a horizontal line despite the changes in the x coordinates. This means the function has a slope (m) of 0. So, the linear function that satisfies these conditions is f(x) = -4.
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You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $6. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.
Answer:
x = $3
y = $4
Step-by-step explanation:
We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.
Let X be the price of the sand
Be and the price of pea gravel
In the first purchase we have:
[tex]4x + 3y = 24[/tex]
In the second purchase we have
[tex]2x = 6[/tex]
Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.
Need help ASAP!
Write the missing base.
256 + ___ (power 6 with the missing base)
16 = ___ (power 4 with missing base)
Will give brainliest! read carefully.
Thank you ^^
256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 2⁸
16 = 2 * 2 * 2 * 2
= 2⁴
GCF of 35 and 63. Show your work.
Answer:
Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:
The greatest common factor of the numbers 35 and 63 will be 7.
We may use the prime factorization method to get the greatest common factor (GCF) of 35 and 63.
The two numbers are first factored into their prime factors.
While 63 can be written as 3 * 3 * 7, 35 may be written as 5 * 7.
Next, we determine the common prime factors and calculate each factor's lowest exponent.
The common component in this instance is 7. The GCF of 35 and 63 is thus 7.
The greatest number that divides both 35 and 63 without producing a remainder is the GCF.
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What is the remainder in the synthetic division problem below?https://brainly.com/question/add?entry=1642&task_content=What+is+the+remainder+in+the+synthetic+division+problem+below%3F
Answer:
could you be more specific? link doesn't take me anywhere
When a customer wants pie for dessert, you cut the whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie?
Answer:
The answer is 13/7
Step-by-step explanation:
Answer:
13/7
Step-by-step explanation:
Which of the following would be considered important in including in the summary of an experimental investigation?
A.) variables that were manipulated during the experiment
B.) number of scientists involved in the experiment
C.) list of all materials and equipment used in the experiment
D.) laboratory room number in which the experiment took place
Question: Which of the following would be considered important in including in the summary of an experimental investigation?
Answer: variables that were manipulated during the experiment
Explanation: A variable is anything that can change in an experiment.
question answered by
(jacemorris04)
Hi There!
Answer:
A.) variables that were manipulated during the experiment
Least important to most important steps to include in a summary:
variables that were manipulated during the experiment.list of all materials and equipment used in the experiment.number of scientists involved in the experiment.laboratory room number in which the experiment took place.Hope This Helps :)
Create a table of x and y values for the expression y/4=3/4x+2. Use the x values of -2,0, and 2. I need help with just number 2
Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2 y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.
x | y
-2 | 2
0 | 8
2 | 14
Which of the following graphs shows the solution set to -2x + 8 is less than 12.
With a detailed explanation!!!
Answer: choice (3)
Open circle at -2; shading to the right of -2
==============================
Work Shown:
-2x+8 < 12
-2x+8-8 < 12-8 ... subtract 8 from both sides
-2x < 4
-2x/(-2) > 4/(-2) ... divide both sides by -2; sign flips
x > -2
To graph this, plot an open circle at -2 on the number line. Shade to the right of this open circle. The open circle means "this value is not included in the shaded solution region". The sign flips in the second to last step because we divided both sides by a negative number.
Answer:
3. x>-2 see graph
Step-by-step explanation:
-2x+8 < 12
Subtract 8 from each side
-2x+8 -8 <12-8
-2x <4
Divide by -2 (Remember this flips the inequality)
-2x/-2 > 4/-2
x >-2
The cost T, in hundreds of dollars, of tuition and fees at many community colleges can be approximated by Upper T equals one half c plus 1
, where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition and fees when a student registers for 2 three-credit courses.
Find the difference.
Answer:
-2x-4
Step-by-step explanation:
(-7x-7y-4)-(-5x-7y)=-7x-7y-4+5x+7y=-7x-4+5x=-2x-4
Answer:
-2x - 4
Step-by-step explanation:
(- 7x - 7y - 4) - (-5x - 7y) Remove both sets of brackets-7x - 7y - 4 + 5x + 7y Notice the sign change in 6x and 7y Two minus signs multiplied together make a plus. Gather like terms.-7x + 5x - 7y + 7y - 4 Simplify-2x - 4 Note the ys cancel out.A water bottle that holds 24 1/2 ounces of water is 3/5 full. Is there enough water in the bottle to fill three glasses with 5 ounces each?
Answer:
No, there is not enough water.
Step-by-step explanation:
The water bottle holds 24.5 and there is 3/5 of it.
3/5 of 24.5 is 14.7 ounces
You want to fill three glasses with 5 ounces each. Multiply 3 x 5 which gives you 15.
14.7 is less than 15
Subtract 15 from 14.7 and you'll have a negative or not enough so no, it cannot fill three glasses with 5 each.
What is the value of x in the equation , when ?
4.6
8.4
10
12
Answer:
x=8.4
Step-by-step explanation:
4x + 8 (0.8) = 40
4x = 40 - 6.4
4x = 33.6
x = 33.6/ 4
x= 8.4
B) 8.4..............
The thickness of each type of coin is shown in the table. How much thicker is a stack of a dollars worth of nickels than a dollars worth of quarters
Answer:
16 nickels thicker
Step-by-step explanation:
You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar. Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!
Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make ? Is the number of arrays odd or even Explain.
3 arrays - 1 x 9 (or 9 x 1) and 3 x 3
Hence, the number of arrays = 2 x 2 = 4 = even
First, we pair the different factors of 9.
The different factors of 9 are:
(1, 9) and (3, 3)
For each pair, Mr. Deets can make 2 arrays.
So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.
Answer:
4 arrays,
Number of arrays is even.
Step-by-step explanation:
∵ The possible pairs of two numbers which give 9 after multiplication,
( 3, 3) and (9, 1),
So, the possible array would be,
3 × 3, 9 × 1
Note : 9 × 1 can also be written as 1 × 9,
According to the question,
For each pair of different factors, there are two arrays,
3 × 3 and 9 × 1 are two arrays with no same factor,
Hence, the total arrays = 2 × 2 = 4
Which is an even number.
y = -0.4x +0.3
in standard form using integers !!!!
are the two statements equivalent the ratio of orange. to blue is 3 to 4
please help
Answer:
Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.
Step-by-step explanation:
If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.
What is the slop of y=-7
Answer:
slope of y = -7 is 0
Step-by-step explanation:
y = any number forms a graph of a horizontal line
x = any number forms a graph of a vertical line
For any horizontal line , the slope is always 0
for any vertical line , the graph is always undefined
So for y =-7 we will get a horizontal line at -7 on t
the slope of horizontal line y=-7 is 0
you can walk 1 1/2 miles in 1/2 an hour what is your average speed
Answer:
3 miles per hour
Step-by-step explanation:
If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking
Answer:
3 miles per hour
Step-by-step explanation:
a used car lots runs sales at the end of the year to reduce inventory this year the sale price is 15% less than the regular price if the regular price of a car 12,000, what is the sale price of the car
Answer:
$10,200
Step-by-step explanation:
12,000x 0.85 = $10,200
or 12,000 x 0.15 = 1,800
$12,000 - $1,800 - $10,200
Logb A=2 and logb B=-3. Find logb AB
A rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.
The approximate width of the room is at least
feet and at most
feet.
The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.
Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:
Rectangle = 70 feet of perimeter = 35 feet of base and height added
Area of a rectangle = base times height
5 x 30 = 150 6 x 29 = 174 7 x 28 = 196 8 x 27 = 216 10 x 25 = 250 17 x 18 = 306 27 x 8 = 216
Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.
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Using the following grading scale and the following scores calculate the student’s final grade in the class: Tests: 55% Quizzes: 30% Homework: 5% Final Exam 10% Tests: 90 average Quizzes: Scores of [67, 90, 44, 29, 100, 100, 100] Homework: 85 average Final Exam: 98
The student's final grade in the class is 87.08%.
Calculating the Student's Final Grade:
Step 1: Calculate Individual Category Scores:
Tests: 90% (average)
Quizzes: (67 + 90 + 44 + 29 + 100 + 100 + 100) / 7 = 78.43%
Homework: 85% (average)
Final Exam: 98%
Step 2: Apply Category Weights:
Tests: 90% * 55% = 49.5%
Quizzes: 78.43% * 30% = 23.53%
Homework: 85% * 5% = 4.25%
Final Exam: 98% * 10% = 9.8%
Step 3: Add Category Scores:
49.5% + 23.53% + 4.25% + 9.8% = 87.08%
Therefore, the student's final grade in the class is 87.08%.
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the IQ that corresponds to a z-score of 2.33?
The IQ score that aligns with a z-score of 2.33 in a normal distribution having a mean of 100 and a standard deviation of 15 is approximately 135.
Explanation:The IQ score that corresponds to a z-score of 2.33 can be found using the z-score equation. In this equation, z is equal to (X - μ)/σ, where X is the value we're trying to find, μ is the mean, and σ is the standard deviation. Given that the mean (μ) is 100 and the standard deviation (σ) is 15, we can plug these values into the equation along with the z-score of 2.33 to solve for X. Through rearrangement of the z-score equation, X = zσ + μ. Substituting a z of 2.33, σ of 15, and μ of 100, gives X = (2.33*15) + 100 = 134.95. Hence, an IQ of approximately 135 corresponds to a z-score of 2.33 on a normally distributed IQ test.
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Which of the following shows the abbreviation for an SI unit of density?
A. lb/mL
B. g/cm3
C. L/kg
D. kg/m2
Answer:
B. g/cm3
Step-by-step explanation:
Answer:
kilogram
Step-by-step explanation:
The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density.1,000 kg/m3 equals 1 g/cm3. (The cubic centimeter can be alternately called a millilitre or a cc.)
Sarah answered 85% of the trivia questions correctly what fraction describes this percent
Answer:17/20
Step-by-step explanation:
100% being a whole.
so she got 85% out of 100%, then 85 out of 100.
[tex]\bf \cfrac{85}{100}\implies \cfrac{5\cdot 17}{5\cdot 20}\implies \cfrac{5}{5}\cdot \cfrac{17}{20}\implies 1\cdot \cfrac{17}{20}\implies \cfrac{17}{20}[/tex]
The price of a video game was reduced from $60 to $45. by what percentage was the price of the video game reduced
Answer: 25%
Step-by-step explanation:
Given : The price of a video game was reduced from $60 to $45.
i.e. Previous price = $60
New price = $45
Reduction in price = Previous price -New price
= $60 - $45 = $15
Then, the percentage was the price of the video game reduced :-
[tex]\dfrac{\text{Reduction in price}}{\text{Previous price}}\times100\\\\=\dfrac{15}{60}\times100=25\%[/tex]
Hence, the percentage was the price of the video game reduced = 25%
25% was the price of the video game reduced.
Step-by-step explanation:
Given :
Previous Price of the video game = $60
Present Price of the video game = $45
Calculation :
Let previous price of the video game be 100% than,
[tex]= \dfrac{45\times 100}{60}[/tex]
= 75%
Reduced Percentage = 100 - 75 = 25%
Therefore, 25% was the price of the video game reduced.
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Tracy ran 1,000 meters in 5 minutes. How many meters/minutes did she run?
(Explain/show work)
Answer: If the question you are asking is how many meters Tracy ran per minute the answer would 200 meters per minute
Step-by-step explanation:
1) You would take 1,000 and divide it by 5
In order to check your work you can just multiply 200 by 5.
Hope this helped!
Find the area of the minor segment of a circle of radius 42cm, if the length of the corresponding arc is 44 cm.
Answer:
160.0 cm²
Step-by-step explanation:
R = 42 cm; s = 44 cm
1. Central angle θ (working in radians)
θ = s/R
θ = 44/42
θ = 22/21
===============
2. Area of sector
A = ½R²θ
A = ½(42)²(22/21)
A = ½(42×21×2)(22/21)
A = 924 cm²
===============
3. Area of triangle
A = ½R²sinθ
A = ½(42)²sin(22/21)
A = ½ ×1764 × 0.8662
A = 764.0 cm²
===============
4. Area of segment
Area of segment = Area of sector – area of triangle
= 924 – 764.0
= 160.0 cm²
The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]
Further explanation:
The formula of angle can be obtained as follows,
[tex]\boxed{\theta= \frac{{{\text{arc}}}}{{{\text{radius}}}}}[/tex]
The formula for area of sector can be expressed as follows,
[tex]\boxed{{\text{Area of sector}} = \frac{1}{2}{r^2}\theta }[/tex]
The formula for area of triangle can be expressed as follows,
[tex]\boxed{{\text{Area of triangle}} = \frac{1}{2}{r^2}\sin \theta }[/tex]
Given:
The radius of the circle is [tex]42{\text{ cm}}.[/tex]
The length of an arc is [tex]44{\text{ cm}}.[/tex]
Explanation:
The radius of the sector is [tex]42{\text{ cm}}[/tex] and the length of an arc is [tex]44{\text{ cm}}.[/tex]
The angle can be obtained as follows,
[tex]\begin{aligned}\theta&= \frac{l}{r}\\&=\frac{{44}}{{42}}\\&= \frac{{22}}{{21}}\\\end{aligned}[/tex]
Area of the triangle can be obtained as follows,
[tex]\begin{aligned}{\text{Area}}&= \frac{1}{2}{r^2}\sin {{\theta }}\\{\text{ }}=&\frac{1}{2}{\left( {42} \right)^2}\sin \left( {\frac{{22}}{{21}}} \right) \\&=882 \times 0.8662\\&=764{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
Area of sector can be obtained as follows,
[tex]\begin{aligned}A&= \frac{1}{2}{r^2}\theta\\&= \frac{1}{2} \times {\left( {42} \right)^2} \times \left({\frac{{22}}{{21}}} \right) \\&= 924{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
The area of segment can be obtained as follows,
[tex]\begin{aligned}{\text{Area of segment}}&= {\text{Area of sector}} - {\text{Area of triangle}}\\&= {\text{924}} - 764\\&= 160{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Area of Circles
Keywords: area, minor segment, circle, radius 42 cm, length of the corresponding arc is 44 cm, sector, segment.
1/4 = z/20 Plzzz i need this done ASAPP!!!!!!! ill give 30 points
Answer:
z=5
Step-by-step explanation:
1/4=z/20
20*1/4=z
z=5
Using the GCF, what is the factored form of 24v – 84?
Answer:
12(2v - 7)
Step-by-step