The line y=kx+4 goes through the point (2,-2)
K=-3
Sketch the graph of the line (need ASAP!)
Answers
The graph of the linear equation:
y = -3x + 4
Can be seen in the image at the end.
How to sketch a graph of the line?
Here we know that the equation for the line is:
y = k*x + 4
We know that this line goes through the point (2, -2), then we can replace these values in the above line so we get the value of k.
-2 = k*2 + 4
With this, we can find the value of k.
-2 - 4 = k*2
-6 = k*2
-6/2 = k = -3
Then the line is:
y = -3*x + 4
If we evaluate in x = 0, we get:
y = -3*0 + 4 = 4
So, at this point we know that the line passes through points (0, 4) and (2, -2), so to graph the line, we just need to graph these two points and draw a line that connects them, like in the example below.
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Related Questions
A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster,
slower, or the same speed as the scooter?
Answers
Answer:
Slower
Step-by-step explanation
The scooter travels 60 feet in 4 seconds, so it is going faster than the skateboard, which travels 55 feet in 4 seconds. A cargo ship traveled 150 nautical miles in 6 hours at a constant speed. How far did the cargo ship travel in one hour?
A person on a moving walkway travels 80 ft in 40 sec. What equation represents this relationship? How many feet will the person travel in 10 sec?A. y = 1/2x; 5 ftB. y = 4x; 40 ftC. y = 2x; 20 ftD. y = 2x; 2 ft
Answers
We need to find which expression represents the situation given, in this case we have two values a distance (80 ft) and the elapsed time (40 s). The time is the input of the equation, it will be placed on the "x" variable and the distance is the output of the equation, it will be placed on the "y" variable. We need to find the expression that outputs "80" when we input 40. Let's check them one by one:
A.
[tex]y=\frac{1}{2}\cdot40=20[/tex]This outputs 20 ft when we input 40 s, therefore it is not this one.
B.
[tex]y=4\cdot40=160[/tex]This one outputs 160 ft when we input 40 s, therefore it is not this one.
C.
[tex]y=2x=2\cdot40=80\text{ }[/tex]This one outputs 80 ft when we input 40 s, therefore this is the correct expression.
We now need to use this expression to calculate the distance the person will travel in 10 seconds, so we will make x equal to 10 s.
[tex]y=2\cdot10=20\text{ }[/tex]The person will walk 20 ft.
The correct option is "C".
18% of students use books
164 students use tablet
How many students are in sixth grade?
Answers
Total students in sixth grade 200students
What is Percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A % has no dimensions and no associated unit of measurement.
Given,
No. of students using Tablet = 164
No. of students using book = 18%
The students in sixth grade either use book or tablet
When 164 student use tablet then remaining use tablet, that is 18%
Then, the remaining percent would be the students using tablet:
100% - 18% = 82%
converting 82% into decimal we get,
82 /100
i.e, 0.82
Number of students in sixth grade = 164/0.82
= 200 students
Hence, 200 students are in sixth grade
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Solve |4x - 2| + 1 > 7
Answers
The inequality is |4x-2|+1>7. By solving inequality we got x>-1 and x>2.
Given that,
The inequality is |4x-2|+1>7
We have to solve the inequality.
|4x-2|+1>7
Take +1 and right hand side we get -1
|4x-2|>7-1
Subtracting 7-1
|4x-2|>6
Now, it is modulus so we get + or -
1st we take +
4x-2>6
Take -2 and right hand side we get +2
4x>6+2
Adding 6+2
4x>8
Taking 4 to right hand side we get in the division.
x>8/4
x>2
Now, take -
-(4x-2)>6
Multiplying -1 on both sides
4x-2>-6
Take -2 and right hand side we get +2
4x>-6+2
Subtracting -6 and 2
4x>-4
Taking 4 to right hand side we get in the division.
x>-4/4
x>-1
Therefore, by solving inequality we got x>-1 and x>2.
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QUICK 100 Points, What is the standard portion cost for a 1-ounce portion of parmesan cheese purchased a pound for $14.60 per pound? (There are 16 ounces in a pound.)
$0.53
$0.68
$0.91
$1.02
Answers
Answer:
$0.91
Step-by-step explanation:
Given:
1 pound = 16 ounces$14.60 = 1 lb Parmesan cheeseIf one pound of Parmesan cheese costs $14.60, to find the cost of a one-ounce portion, simply divide the cost of one pound by 16:
[tex]\implies \textsf{1 ounce portion}=\dfrac{\$14.60}{16}=\$0.9125=\$0.91\;\sf (nearest \; cent)[/tex]
Therefore, the standard portion cost for a one-ounce portion of Parmesan cheese is $0.91 (nearest cent).
What does congruent mean? Select all that apply. PLEASE HELP!
A None of the above
B Same Shape
C Corresponding angles are the same measure
D Corresponding sides are the same length
Answers
find the highest common factor (HCF) of 70 and 385.
Answers
The highest common factor of the given number is 35.
What is the highest common factor?The biggest positive number that divides each integer in a set of two or more is known as the greatest common divisor in mathematics. The GCD of two integers x, and y is the greatest common divisor of x and y. A group of numbers' largest factor that they all share is known as the group's greatest common factor (GCF). Components 2 and 4 are shared by the numbers 12, 20, and 24, for instance. We claim the GCF of 12, 20, and 24 equals 4 since 4 is the largest. The greatest integer that may divide two or more numbers is known as the highest common factor (HCF), sometimes known as the GCF. The definition of highest is the highest or largest number. Any two or more numbers that share a common meaning.
Factors of 70
= 7 ,2 ,5 , 1 , 10 , 35 , 14
Factors of 385
= 1 , 5 , 7 , 11 , 35 , 55
HCF
= 35
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what is 13 = g - (-7) ?
Answers
Convert 32.5% to a decimal number. If needed round to the nearest thousandth.
Answers
In order to convert a percent to a decimal number we need to move the decimal point two units to the left
[tex]32.5\text{\%}=0.325[/tex]How many solutions over the complex number system does this polynomial
have?
3x6x³-4x²+3x+52 = 0
Enter your answer as an integer.
Answers
Polynomials are algebraic expressions that consist of the variables and coefficients. Six complex number system, polynomial 3x6x³-4x²+3x+52 = 0 have.
What do you mean by polynomial?Polynomials are algebraic expressions that consist of the variables and coefficients. Variables are also sometimes called the indeterminates. We can perform the arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.
We have following polynomial for this situation.
We observe that polynomial graph only intersects the vertical axis once.
There are no additional x-axis cutoff points in graph.
As a result, polynomial:
6 difficult solutions
No actual solution
So, we can 6 difficult solutions.
We have following polynomial for this situation.
We observe that polynomial graph only intersects the vertical axis once.
There are no additional x-axis cutoff points in graph.
As a result, polynomial:
6 difficult solutions
No actual solution
So, 6 complex solutions can be said to exist.
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In Mr. Stowe's math class, Katherine earned an 88 in the 1st quarter and a 94 in the end quarter. What is the percentage of increase?
Answers
The percentage of increase in her score is 6.82%
What is the percentage of increase?Here we will define her first score, 88, as the 100%.
So we can write the relation:
88 = 100%.
Her next score is 94, this will be a percentage X, then we can write:
94 = X
Taking the quotient between the two equations:
94/88 = X/100%
Solving this for X we get:
(94/88)*100% = X = 106.82%
The difference between the percentages gives the increase:
106.82% - 100% = 6.82%
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Solve for Y3x + 2y = 10a. y = 3/2 x + 5b. y = 2/3 x + 5c. y = -3/2 x+5d. y = -2/3 x + 5
Answers
3x + 2y = 10
3x is adding on the left, then it will subtract on the right:
2y = 10 - 3x
or
2y = -3x + 10
2 is multiplying on the left, then it will divide on the right:
[tex]\begin{gathered} y=\frac{-3x+10}{2} \\ y=-\frac{3x}{2}+\frac{10}{2}\text{ Distributing} \\ y=-\frac{3}{2}x+5 \end{gathered}[/tex]The correct option is option C
Please help will give crown! Here is the question 2(-2)-4=12 solve it and tell me where it goes on a graph if you want, I'll give 400 points, if i can!
Answers
The solution to the given equation (2(-2) - 4 = 12) is -20 and its graphical solution is shown in the image attached below.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Next, we would solve the given equation as follows:
2(-2) - 4 = 12
Let us introduce a variable x into the equation as follows:
x = 2(-2) - 4 - 12
x = -4 - 4 - 12
x = -20
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I
2. Which is the more economical purchase: a 20-ounce box of cereal for $4.23 or an 18-ounce box for
$3.75? Justify your answer
Answers
if 2 shmoop interns can give 10 total foot massage in an hour, how many foot massages can 5 shmoop interns give in an hour?
Answers
The volleyball team bought 12 new volleyballs. The price for each volleyball was $26. How much did the team spend? Select the choice that shows all of the partial products of 12 × 26.
A.
12, 70, 4, 400
B.
12, 90, 14, 200
C.
12, 62, 4, 260
D.
12, 60, 40, 200
Answers
========================================================
Explanation:
Imagine a rectangle that is 12 by 26. Multiplying the length and width will get us the area.
We can break the 12 into 10+2
Also, break the 26 into 20+6
Check out the diagram below. We have 4 smaller rectangles. Finding the product of those sub-areas will then get us the partial products needed.
In the bottom right corner we have a 2 by 6 rectangle, so it has area 2*6 = 12 square units. This is one of the four partial products. The other partial products are found the same way.
Once you determine the four partial products, we then add them up
12+60+40+200 = 12+100+200 = 12+300 = 312
Therefore, 12*26 = 312 which we can use a calculator to confirm.
An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The shiny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?
Answers
An artist can cut the metallic paper and pink glittery paper of the largest size of 12 inches without any waste.
What is defined as the term highest common factor?The greatest common factor is the largest number that is a factor of two numbers or more (GCF). The largest number (factor) divides them, yielding a Natural number. Once all of the number's factors have been identified, there are a few that are shared by both.The length of the metallic paper is 24 inches.
The length of the pink glittery paper is 36 inches.
To find the largest size, find the HCF of both number.
First find the factors using prime factorisation;
24 = 2×2×2×3
36 = 2×2×3×3
Find the common term,
HCF (24, 36) = 2×2×3
HCF (24, 36) = 12
Thus, an artist can cut the metallic paper and pink glittery paper of the largest size of 12 inches without any waste.
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a triangle has two sides of 10 and 6 with an area of 12 units. what is the missing length.
Answers
A triangle that has two sides of 10 and 6 with an area of 12 units will have the third side length of 4.
What is the area of a triangle?The triangle can be described as the the figure that has threes sides which can be equal or varies base on the type of the triangle it is, and the area of the triangle is given, we can use the formula for the are of triangle which i s (1/2 * b * h )
Then the Area of a triangle = (1/2 * b * h)
we were given the two sides already with the area , then we can input the values as :
12 =( 1/2 * 6 * x)
where x is the third sides that is needed
x = 4
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4. E is between D and F. If DE = 3x + 2, EF = 18, and DF = 5x, find the value of x.
Answers
The value of x is 10.
What are expressions in math?A mathematical expression consists of a statement, at least one arithmetic operation, and at least two integers or variables. With this mathematical operation, you can multiply, divide, add, or subtract.
Given:
E is between D and F.
DE = 3x + 2
EF = 18
DF = 5x
We need to determine the value of x which is a variable, whose value is unknown to us and can take any value.
So, DF = DE + EF
Substituting the given values, we get
5x = 3x + 2 + 18
5x - 3x = 20
2x = 20
x = 20/2
x = 10
Therefore, the value of x is 10.
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Simplify the fraction
315
405
as much as possible.
7
9
35
45
3
4
Answers
Answer:
7/9
Hope this helps!
Have a good day :)
Answer:
7/9
Step-by-step explanation:
I took the quiz
what operation would be completed second in the following expression
Answers
In the PEMDAS method of solving , it goes to the five basic operations
1.Parenthesis 2. Exponents 3. Multiplication 4. Addition 5.Substraction
In this exercise there are NOT parenthesis, so then the first operation is Exponentiation and 2nd operation is Multiplication
So the answer is Multiply, the first option.
Find the value of x
x=
112°
(3x + 11)°
Answers
Which number line shows the solution to the inequality 5 ≤ 8-3x ≤ 14?
Answers
The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.
What is inequality?A inequality compares two values and indicates whether one is smaller, larger, or simply not equal to the other.
a ≠ b is the information that a and b are not equal.
If a > b, a is greater than b. (these two are defined as strict inequality)
a ≤ b proves that a is less than or equal to b
a ≥ b proves that a is greater than or equal to b
The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.
If x is more than 1, lets say 2
Then the inequality as follows
5 ≤ 8-3(2) ≤ 14
5 ≤ 8-6 ≤ 14
5 ≤ 2 ≤ 14 this statement becomes false
Therefore x, must be lower than 1
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Question:The diameter of the handle on a broomstick is 3.75 centimeters. What is the length in centimeters of the diameter of 12 of the broomstick handles?
Answers
The diameter is 3.75 cm
help meeee
11 Answer:
A box of rice is 19 centimeters long, 12 centimeters wide, and 3.5
centimeters deep. The volume of the box is the product of its length,
width, and height. What is the volume of the box?
20 Answer:
Write the verbal sentence as an equation or an inequality:
The sum of three and x is ten.
Answers
Answer:
798
Step-by-step explanation:
11. v = l x w x h
19 x 12 x 3.5 = 798
20. 3+x=10
Solve for y in terms of u, v, w, and x.
vw = -yux
VW
y =
Answers
Answer:
y= vw/ux
Step-by-step explanation:
hope this help
6 is added to the product of 7 and a number
Answers
(7*7)+6=49+6=55
I solved it
The value of the expression will be equal to 55.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 6 is added to the product of 7 and a number 7. The expression will be written as,
E = 7 x 7 + 6
E = 49 + 6
E = 55
Therefore, the value of the expression will be equal to 55.
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Round to the place value of the underlined digit 698,072 the underlined digit is 6
Answers
We get 700,000 after rounding off to the place value of the underlined digit in the number 698,072.
According to the question,
We have the following number with 6 as the underlined digit:
698,072
When rounding off the number, please note that the digits to the right of the underlined digit would be zero. However, we need to be careful where we need to scale up the underlined number or it would remain the same.
For this, we need to check the number to the right of the underlined digit. If the number right next to the underlined digit is greater than 5 then the underlined digit has to be scaled up. And if it is less than 5 then the underlined digit remains the same.
So, after rounding off we will get:
700,000
Hence, the number after rounding off to 6 in 698,072 is 700,000.
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. Mandy and 6 of her teammates each sold an equal number of
shirts to raise money for their tennis team. If a total of 56 shirts
were sold, how many shirts did each person sell? Explain.
Answers
Answer:
8
Step-by-step explanation:
56 shirts were sold, and including Mandy, 7 people sold them.
7 * x = 56
(7x)/7=56/7 (canceling out the 7 to get x alone)
x=8
So basically just 56 divided by 7
To find the height of a very tall pine tree, you place a mirror
on the ground and stand where you can see the top of the
pine tree. How tall is the tree?
6 ft
2 ft 24 ft
ти
How tall is the tree
Answers
If to find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. The height of the tree is 72 feet.
Height of a treeGiven data;
6 ft
2 ft 24 ft
Hence,
Angle of incidence = Angle of reflection
Hence,
m ∠ ACD = m ∠ ECD
Two triangle will only be the same if their corresponding angles are congruent
So,
Sine m ∠ ACD = m ∠ ECD
m Δ ABC = Δ EDC
The corresponding of similar triangles are proportional
Hence,
BC / DC = AB / ED
= 2 / 24 = 6 / ED
2ED = 24 × 6
2ED = 144
Divide both side by 2
ED = 144 / 2
ED = 72 feet
Therefore we can conclude that the tree height is measure at 72 feet.
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