The range is all the y-value or outputs of a function. In the case of a horizontal line, this is only one value.
The range is the y-intercept, -5.
The domain is all x-values or inputs of a function. For this graph, it is all real numbers (as you said).
The domain is all real numbers.
A bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. How much will it cost to add the wood flooring?
If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.
Cost priceFirst step is to calculate the bedroom square feet
Bedroom square feet=14ft ×12ft
Bedroom square feet= 168 sq feet
Second step is to calculate hallway square feet
Hallway square feet=8ft × 3ft
Hallway square feet=24 sq feet
Third step is to calculate the total square feet
Total square feet=168+24
Total square feet=192
Fourth step is to calculate the cost
Cost=$6.20× 192
Cost= $1,190.40
Therefore the amount it will cost to add the wood flooring is: $1,190.40.
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Find the solutions to x² = 28.
A. x=+7√2
OB. x=+2√/14
OC. x=+14√2
X
OD. x=+2√7
X
Answer:
x=+2√7
Step-by-step explanation:
b) Express 8.423 hours in hours, minutes, and seconds.
Hello!
[tex]8.423 \texttt{ hours in hours, minutes, seconds}[/tex]
[tex]8.423=08:25:22[/tex]
Hope this helps!
this I never got taught, need help bunch of points
Answer:
Absolute value is the distance from 0 all negative numbers become positive and positive stays positive.
Step-by-step explanation:
Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at
least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra
buys.
Which inequality represents this situation?
Answer:
(D)
Step-by-step explanation:
Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
and the total amount of money that she spends on tomatoes is
Therefore, the inequality can be written as
Thus, option (D) is CORRECT.
Identify the intercepts
6:12 12:
Missing equivalent ratio
Answer:
24
Step-by-step explanation:
you multiplied 6 by 2 so you have to multiply 12 times 2 and you will get 24
The total amount repaid on a loan is found by using the formula A = p + prt, where A is the total amount
paid, p is the principal, r is the rate, and t is the time. If t = 5, r = 0.06, and p = 200, what is the value
of A?
**Hint** Evaluate the expression p + prt for t = 5, r = 0.06, and p = 200
Answer:
it's easy
just use the formulary given and insert the values to Their given letters
190 g = _____________ kg
How to I round this imperfect square √11
Answer: 3.32
Step-by-step explanation:
√11=
3.3166=
3.3166=3.32 ==>When rounding to the hundredth place, if the thousandth's digit is 5 or greater, increase the hundredth's digit by 1.
Please HELP ME!!!! This is really confusing. HOW DO I DO THIS?!?!?!
Answer:
Flying Disc should be 72
Step-by-step explanation:
circumference = πd
HD Coin C = 3π
9.42477796077
Flying Disc. C = 23π
72.2566310326
Jar Lid C = 8π
25.1327412287
Flower Pot C = 15π
47.1238898038
What number makes the equation true? Enter the answer in the box.
5 X
= 20
Answer: 5x4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
5x=20
divide both side by the coefficient of x
5x/5=20/5
x=4
PLEASE HELP NOWW PLEASE
Answer: NOW
Step-by-step explanation:
Solve the equation -2 =
k=
k+7
3
[tex]{ \orange{ \tt{k = 1}}}[/tex]
Step-by-step explanation:
-2 = k+7/3
cross multiply 3 with -2 then,
-6 = k+7 (OR) k+7 = -6.
k = -6+7
k = 1.
If f (x) = x² +4, solve f (x) = 13.
The solution of the function f(x) = 13 is x= 3
According to the question we have been the function f(x), that i s
f(x) = x² + 4
We need to find the value of x where we have been given that
f(x) = 13
Therefore, we will put the required value of function f(x) in the above condition we get
x² + 4 = 13
Subtracting 4 both the sides we get,
x² + 4 - 4 = 13 - 4
x² = 9
Taking square root both sides we get,
√x² = √9
x = 3
Hence the value of x is 3.
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The governor of state A earns $54,900 more than the governor of state B. If the total of their salaries is $310,850, find the salaries of each.
Step-by-step explanation:
Let the earning of governor of state B be x then
we have,
Earning of A = 54900 + x
Earning of B = x
according to question,
Earning of A + Earning of B = 310850
54900 + x + x = 310850
2x = 255950
x = 127975
earning of A = 182875$
earning of B = 127975$
What is 150 minus 22.37?
Answer:
Step-by-step explanation:
127.63
A cookie factory used 461.01 kilograms of chocolate chips to make 97 batches of cookies. To the nearest hundredth of a kilogram, how many kilograms of chocolate chips did the factory put in each batch?
Answer:
we will need to to divide the given amounts of kilograms to the amount of batches of cookies made
461.01÷97
=4.75
(this is rounded off)
Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].
What is a slope intercept form?A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.
For calculating the slope, the formula used is [tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }[/tex]
From the graph we see that the points are (4,0) and (0,-1).
Substituting the points in the formula,
[tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }\\m=\frac{-1-0}{0-4} \\m=\frac{-1}{-4} \\m=\frac{1}{4}[/tex]
We know that, the equation of a line in point slope form, where (x₁, y₁) is the point and slope m is:
(y – y₁) = m(x – x₁)
Here, (x₁, y₁)= (4,0)
Substitute the value of m and any coordinate into the formula y−y₁=m(x−x₁)
[tex]y-0=\frac{1}{4} (x-4)\\y=\frac{1}{4} x-1[/tex]
Therefore, the equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].
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Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. What is the length of the side of Amy’s printed picture
The length of the side of Amy’s printed picture is 6 inches.
What is defined as a square?A square is a two-dimensional closed shape with four equal sides.
A square is made up of four sides and four vertices.A square's sides are all the same length.All interior angles are identical and correct.The total of all interior angles is 360°.Now, as per the given question;
The original length of the side of the square was 4 inches.
Thus, the area of the old photo was;
A = side²
A = 4²
A = 16 square inch.
Now, as the picture is increased by 225%.
Then, increase the area by 225%.
New area = 225% of old area
= (16×225)/100
New area = 36
The length of the side of the new photograph is;
New area = length²
length = √New area
length = √36
length = 6 inches.
Therefore, the length of the side of Amy’s printed picture is 6 inches.
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maths midpoint theorem
please help
Step-by-step explanation:
2.
to complete the description :
PQ || MN || BC
the midpoint theorem :
the line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
therefore,
MN connects the midpoints of AC and AB, and is therefore half of BC.
PQ connects the midpoints of AN and AM, and is therefore half of MN. and that is half of half of BC = one quarter of BC.
MN = 1/2 × BC
PQ = 1/2 × MN = 1/2 × 1/2 × BC = 1/4 × BC =
= 1/4 × 16 = 4 mm
3.
UV = 10 cm connects the midpoints of PT and PS, and is therefore 1/2 of TS.
in other words, TS = 2×UV = 2×10 = 20 cm.
now we go the other direction from Q :
TS connects to midpoints of QU and QR. therefore,
UR = 2×TS = 2×20 = 40 cm.
VR = UR - UV = 40 - 10 = 30 cm
Select all the triangles that have an area of 10 square units:
The triangles that have an area of 10 square units are triangles A and B
How to determine the triangles that have an area of 10 square units?The area of a triangle is calculated using
Area = 0.5 * Base * Height
Triangle 1
Base = 5
Height = 4
So, we have
Area = 0.5 * 5 * 4
Area = 10
Triangle 2
Base = 4
Height = 5
So, we have
Area = 0.5 * 5 * 4
Area = 10
Triangle 3
Base = 5
Height = 5
So, we have
Area = 0.5 * 5 * 5
Area = 12.5
Hence, the triangles that have an area of 10 square units are triangles A and B
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The length of a rectangle is 4yd longer than its width.
If the perimeter of the rectangle is 68yd, find its length and width.
Pentagon Question
The sides add to 63, so:
[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]
Rectangle Question
If the width is w, then the length is w+4.
This means that 2(w+w+4)=68.
[tex] 2(2w+4)=68 \\ \\ 2w+4=34 \\ \\ 2w=30 \\ \\ w=15[/tex]
So, the length is 19 and the width is 15.
If m∠QOS=51, m∠POR=59, and m∠POQ=25, what is m∠ROS?
Answer:
∠ROS = 19
Step-by-step explanation:
The angle sum theorem is applicable.
∠POQ + ∠QOR = ∠POR
∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ
__
∠QOR +∠ROS = ∠QOS
∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR
∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR
∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22
∠ROS = 19
Step-by-step explanation:
Pop es igual a 95 y ros es 55
What is the slope of a line parallel to the line whose equation is 2x - 5y = 30. Fully simplify your answer.
Answer: [tex]\boxed{y=\frac{2}{5} x-7}\ as\ an\ example[/tex]
Step-by-step explanation:
Find the slope-intercept form:
[tex]2x-5y=30\\\\-5y=-2x+30\\\\y=\frac{-2x+30}{-5} \\\\y=\frac{2}{5} x-6[/tex]
Therefore the slope is 2/5
An example of a line parallel to this line is
[tex]y=\frac{2}{5} x-7[/tex]
Proportion Word Problems Maze Worksheet
One US dollar equals 0.84 euros. Margo wants to exchange $400 for euro. How many euros will she receive in exchange?
Answer:
1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.
Express in kg the mass of 0.3 tonne
0.3 tonnne=300 kilograms
In the given question mass is given in tonne and we have to convert it into tonne.
Among the SI base units, the kilogram (kg) is the only one whose name and symbol, for historical reasons, include a prefix. "Kilo" the SI prefix for 1000 or 103. Names and symbols for decimal multiples and submultiples of the unit of mass are formed by attaching prefix names to the unit name "gram," and prefix symbols to the unit symbol "g."
To calculate a tonne value to the corresponding value in kg, just multiply the quantity in tonne by 1000 (the conversion factor). Here is the formula:
Value in kg = value in tonne × 1000
Suppose you want to convert 0.3 tonne into kg. Using the conversion formula above, you will get:
Value in kg = 0.3 × 1000 = 300 kg
final answer is 0.3 tonne=300 kilograms.
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Consider the equation 5x + 8y = 24, A line parallel to the above line would have a slope of:
Answer:
Any line with a slope of -5/8 would be parallel to this line.
Step-by-step explanation:
First write this in the slope intercept form of a line
y = mx + b. The number before the x will be the slope.
5x + 8y = 24 Subtract 5x from both sides of the equation
8y = -5x +24 Divide everything by 8
y = -5/8x + 3
I
One number is 3 times a first number. A third number is 100 more than the first number. 4f the sum of the three numbers is 265, find the numbers.
The three numbers are L. (Use comma to separate answers as needed.)
Answer:
88, 276, 192.
Step-by-step explanation:
Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=540
x + 3x + ( x + 100 ) = 540
5x = 440
x = 88.
The first number is 88.
The second number is 276.
The third number is 192
Explain how you know 671,287 > 617,827
By comparing the given integer we come to know that 671,287 is greater than 617,827.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
671,287 and 617,827
According to given question we have
If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.
The number farthest to the right is the greater number.
So, 671,287 > 617,827.
Therefore, by comparing the given integer we come to know that 671,287 is greater than 617,827.
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