Answer:
[tex]y=-2x+3[/tex]
Step-by-step explanation:
Given the slope of line [tex]m[/tex] is [tex]-2[/tex].
And y-intercept is [tex](0,3)[/tex]
We can write the equation of line by using the slope-intercept form.
The slope-intercept from is
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope of line. And [tex]b[/tex] is the y-intercept.
In our problem y-intercept is given as [tex]b=3[/tex].
Plugging these we get,
[tex]y=-2x+3[/tex]
Write the expression in simplest form. h+6h
Answer:
h has a coefficient 1 so u will afd 6h +h=7h
A flying disc has a radius of
7inches. What is the area of one side of the flying disc to the nearest square inch? Use
3.14 as an approximation for pi
A.615 square inches
B. 38 square inches
C.154 square inches
D.44 square inches
The required area of the flying disc is 154 square inches.
A flying dis has radius of 7 inches. Area of the disc to be determine.
Area of circle is given by the pie times square of radius.
Area of circle = πr^2
= 3.14 * 7 *7
= 154 square inches
Thus, the required area of the flying disc is 154 square inches.
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3(x+2)=−5−2(x−3)
x = ___
(type your answer as a number, "no solution" or "infinite solutions")
Answer:
x = -1
Step-by-step explanation:
3(x+2)=−5−2(x−3) multiply 3 and -2 with inside the parenthesis
3x + 6 = -5 -2x + 6 now add the like terms
3x + 2x = 1 - 6
5x = -5 simplify both sides
x = -1
PLEASE BE QUICK!!
What is the area of the triangle? On a coordinate plane, a triangle has a base of 8 units and a height of 6 units.
Answer:
Therefore the Area of Triangle is 24 units².
Step-by-step explanation:
On a Co-ordinate plane
A Triangle having
Base = 8 units
Height = 6 units
To Find:
Area of Triangle = ?
Solution:
When Base and Height is given , then Area of triangle is given by
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times Base\times Height[/tex]
Substituting the values we get
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times 8\times 6=24\ units^{2}[/tex]
Therefore the Area of Triangle is 24 units².
Answer: 24
Step-by-step explanation:
base is 8
height is 6
Which statement describes the behavior of the function f (x) = 3x/4-x
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answer:
A. The graph approaches –3 as x approaches infinity.
Step-by-step explanation:
when looking at the problem F (x) + 3x/x-4 the answer would lead up to..
Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:
( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }
Range: ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }
are what it leads to and seeing the range -3 would have x as infinite/ -∞
so A is the correct option to me
The statement that describes the behavior of the function f(x) = 3x/4-x is The graph approaches 0 as x approaches infinity.
Option B is the correct option.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The statement "The graph approaches 0 as x approaches infinity" is the correct statement that describes the behavior of the function f(x) = 3x/(4-x).
We can use the limit definition of approaching infinity.
When x becomes very large (positive or negative), the term 4 - x in the denominator becomes very small, approaching zero.
As a result,
The fraction 3x/(4-x) approaches zero as x approaches infinity.
This can be confirmed using L'Hopital's rule, which gives the limit of the function as 0/1, or simply by observing the graph of the function.
Thus,
The graph approaches 0 as x approaches infinity.
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Using 6 as a denominator, what fraction completes the following equation: 1 − 1/3 = ? a. 3/6 c. 5/6 b. 4/6 d. 2/6
Answer:
the answer is c :)
need help ASAP (linear / non-linear)
Answer:
linear
Step-by-step explanation:
It is linear because the line is straight.
The maximum value of y=√(x+2)-1 on the interval [-2 ,2]
Answer:
1
Step-by-step explanation:
The square root function is monotonically increasing, so will have a maximum at the right end of any interval. Here the maximum is at x=2. That value is ...
y = √(2+2) -1 = 2 -1 = 1
The maximum value on the interval is 1.
what is -22 = -9 +n
Answer:
If you are looking for n then
N = -13
Step-by-step explanation:
-13+-9 is -22
Answer
n= -13
-22 = -9 + n
first flip the equation
n + -9 = -22
then add 9
so -22 + -9 = - 13
so n = -13
What is the sum of 2x^2 and 2x^3
For this case we have the following expression:
[tex]2x ^ 2 + 2x ^ 3[/tex]
The terms are not similar, so they cannot be added.
Examples of similar terms:
[tex]x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4[/tex]
Then, the expression given can only be rewritten as:
[tex]2 (x ^ 2 + x ^ 3)[/tex]
This is taking common factor 2 to both terms.
Answer:
[tex]2 (x ^ 2 + x ^ 3)[/tex]
Is -3.5 greater than -1.5
Answer:
No.
Step-by-step explanation:
On the number line, a number is greater than a number to its left. For example, 3 is to the left of 5, so 5 is greater than 3.
On the number line, -3.5 is to the left of -1.5, so -1.5 is greater than -3.5.
After comparing the given two negative numbers we conclude that,
the number -3.5 is not greater than -1.5.
A negative number is one that always has a value lower than zero and is denoted by the minus (-) symbol.
The given numbers are,
-3.5 and -1.5
Subtract -1.5 from -3.5
-3.5 - (-1.5)
Remove bracket by multiplying signs,
-3.5 + 1.5
= -2.0
Now it can be written,
-3.5 = -1.5 - 2.0
Since,
-1.5 - 2.0 < -1.5
Therefore,
-3.5 < -1.5
Hence,
The number -3.5 is not greater than -1.5.
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Andy cut a tuna and a chicken sandwich into a total of 18 pieces. He cut the tune into 12 more pieces than the chicken. Andy are 5 pieces of the tuna. What fraction of the tuna did he eat?
The fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
The student's question involves determining the fraction of the tuna sandwich that Andy ate. Andy cut a tuna sandwich into 12 more pieces than the chicken sandwich and the total number of pieces was 18. Since tuna has 12 more pieces, we let the number of chicken pieces be x. Hence, the tuna pieces would be x + 12. The equation then is x + (x + 12) = 18. Solving this, we get x = 3 (chicken pieces) and x + 12 = 15 (tuna pieces).
Andy ate 5 pieces of the tuna sandwich, so the fraction of the tuna he ate is 5 out of the total tuna pieces, which is 15. Therefore, the fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
Each year Malcolm earns about 120 hours of vacation time at his job. There are 52 weeks in a year. What is the approximate number of hours of vacation time that malcolm earns each week?
Answer:
2.3
Step-by-step explanation:
.
By dividing the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52), we find that Malcolm earns approximately 2.31 hours of vacation time per week.
Explanation:The question is asking us to find out how many vacation hours Malcolm earns per week. To solve this, we can simply divide the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52).
Here's the step by step process:
Identify the total vacation hours Malcolm earns in a year, which is 120.Next, we divide that number by the number of weeks in a year, which is 52.Perform the calculation: 120 ÷ 52 ≈ 2.31.Therefore, Malcolm earns approximately 2.31 hours of vacation time per week.
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A board is leaning against a building so
that the top of the board reaches a
height of 18 feet. The bottom of the
board is on the ground 4 feet away from
the wall. What is the slope of the board
as a positive number?
The slope of a line is given by rise over run. The slope of the board leaning against the building is 4.5; given by the height it reaches (18 feet) divided by the distance from the base of the building to the base of the board (4 feet).
Explanation:The subject of your question is the slope of a line in a mathematical context, specifically when dealing with the Algebra of Straight Lines. First, let's recall what slope is. The slope of a line, commonly represented as m, is the measure of the vertical change (rise) for each unit of horizontal change (run).
To find the slope of the board leaning against the building, we can take the rise over the run. Here, the rise is the height of the building which the board reaches - 18 feet. The run is the distance from the building to the board's base on the ground - 4 feet. Hence, the slope m of the board would be calculated as follows: m = rise/run = 18/4 = 4.5.
A positive slope indicates that the line rises from left to right, like the board leaning against the building. So, the slope of the board as a positive number is 4.5.
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how many integers from 1 to 1 million dont have common factors with 2020
The store bought a pair of shoes for $50, and sold it for $80.What percentage was the mark up
The markup percentage on the shoes that were bought for $50 and sold for $80 is 60%.
To calculate the markup percentage, you subtract the original cost from the selling price and then divide that number by the original cost. Finally, you multiply the result by 100 to get the percentage.
The formula looks like this: ((Selling Price - Original Cost) / Original Cost)× 100. Let's apply this formula to your question.
The store bought the shoes for $50 and sold them for $80. So the markup in dollars is
$80 - $50 = $30
Now, let's convert this to a percentage:
Markup Percentage =
[tex]= \frac{80-50}{50} \times 100 \\\\= \frac{30}{50} \times100\\\\ = 60\%[/tex]
The markup percentage is 60%.
Choose the answer
Your classmate has made a list of the events she wants to include in her personal
narrative. Read these events. Then select the answer that displays the best sequence
for these events
• Luckily, I was able to see my director in the front row. She was mouthing the
words to my line
• I woke up.
• I was shaking as I walked up to the stage
• Inished the scene and received a standing ovation
• I forgot my line and froze,
• I was so nervous that I couldn't eat anything all day.
The best sequence for the events in the personal narrative would be: waking up, feeling nervous, walking up to the stage, forgetting the line, director helping with the line, and receiving a standing ovation.
Explanation:I woke up.I was so nervous that I couldn't eat anything all day.I was shaking as I walked up to the stage.I forgot my line and froze.Luckily, I was able to see my director in the front row. She was mouthing the words to my line.I finished the scene and received a standing ovation.Learn more about Sequencing events in a personal narrative here:https://brainly.com/question/32299550
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If x/9 is equivalent to 0.5 segment, what is the value of x?
Answer:
X=4.5
Step-by-step explanation:
9 x 0.5 = 4.5
You can even test it. 4.5/9 does in fact, equal 0.5
Will make brainliest if answered correctly
These two boxes have the same volume.
Box A
Height: 2 in., Width: 3 in., Length: 6 in.
Box B
Height:3in., Width:4in., Length:?
What is the length of Box B?
A.2in
B.3in
C.4in
D.9in
Answer:
B
Step-by-step explanation:
Because they have same volume we have :
V(boxA)=2*3*6=36[tex]in^3[/tex]
V(boxB)=3*4*l=12l
V(boxA)=V(boxB)
So we have this equation :
36=12l
Divide by 12
l=3
What is the inverse of the function g(x) = -3(x+6)?
Answer:
g-1(x) = -x/3 - 6.
Step-by-step explanation:
Let g(x) = y = -3(x + 6)
y = -3x - 18
3x = - y - 18
x = -y/3 - 6
Now replace x by the inverse g-1(x) and y by x, so
g-1(x) = -x/3 - 6.
14. Find the value of the function:
If f(x) = 4x + 4x - 4, find f(0).
f(0) =
Answer:
f(0) = -4Step-by-step explanation:
[tex]f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4[/tex]
Which of the following shapes is a convex polygon?
Answer:
Therefore the correct option is B.
Step-by-step explanation:
i) A convex polygon is a polygon which has all its interior angles as less than 180°.
ii) From visual inspection of all four options only option B seems to fulfill the criteria mentioned in i)
Therefore the correct option is B.
Answer:the answer is b
Step-by-step explanation:
I got it corrrect trust me
write ratios for sin C, cos C, and tan C
Answer:
I got u
Step-by-step explanation:
sin C = 7/25 or 0.28
cos C = 24/25 or 0.96
tan C = 7/24 or about 0.292
lmk if u want me to explain how trigonometric functions work
The ratios for sin C, cos C, and tan C in a right triangle are y/h, x/h, and y/x respectively, where y is the opposite side, x is the adjacent side, and h is the hypotenuse.
Explanation:To write ratios for sin C, cos C, and tan C in a right triangle, you need to refer to the lengths of the sides of the triangle relative to angle C. If we denote the opposite side to angle C as y, the adjacent side as x, and the hypotenuse as h, the ratios are defined as follows:
sin C = opposite/hypotenuse = y/hcos C = adjacent/hypotenuse = x/htan C = opposite/adjacent = y/xIn a practical scenario, if you know the magnitude of one side and the direction angle, you can use these ratios to find the scalar components of a vector in a coordinate system, solve problems involving the Law of Sines and Law of Cosines, or analyze wave functions in physics. For example, the Law of Sines relates the lengths of the sides of a triangle to the sines of its angles as follows:
a/sin A = b/sin B = c/sin C
Where a, b, and c are the sides of the triangle opposite to angles A, B, and C, respectively.
2/3x - 4 = 20
How do I solve this?
Answer:
x=20
Step-by-step explanation:
Answer is in the picture
PLEASE Give me BRAINLIEST
help pls thanks you
Solve 3x+k= c for x.
Answer:
x = [tex]\frac{c-k}{3}[/tex]
Step-by-step explanation:
Given
3x + k = c ( isolate the term 3x by subtracting k from both sides )
3x = c - k ( divide both sides by 3 )
x = [tex]\frac{c-k}{3}[/tex]
No explanation needed, A,B,C, or D?
Answer:
B I think
Step-by-step explanation:
What is 13.92 divided by 24 equal?
Answer:
0.58
Step-by-step explanation:
In Triangle F G H, what is the measure of Angle H?
Triangle F G H. Angle F is 43 degrees, angle G is x degrees, angle H is (x minus 1) degrees.
42 degrees
43 degrees
68 degrees
69 degrees
Answer: 68
Answer:
69°
Step-by-step explanation:
The three interior angles in a triangle will always add up to 180°, so we have:
43°+x+(x-1)=180°
43°+2x-1°=180°
2x=180°-43°+1°
2x=138°
x=69°
Answer:
69 degrees
Step-by-step explanation:
a museum's gift shop had 280 animal shaped erasers . Each package had 8 erasers. how many packages are there
Answer:
35
Step-by-step explanation:
just due 280 divided by 8