The domain is all of the x-values a function can have. The range is all of the y-values a function can have.
#50.
Domain: [-5, 10]
---The function starts at the x-value -5 and stops at the x-value 10.
Range: [-3, 5]
---The smallest y-value is -3 and the largest y-value is 5.
#51.
Domain: [-2, infinity)
---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.
Range: [0, infinity)
---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.
Hope this helps!
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
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Find the area of each figure. Round to the nearest tenth if necessary.
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
which numbers round to 40 when rounding to 10s?
Answer:
35, 36, 37, 38, 39, 41, 42, 43 and 44
Step-by-step explanation:
Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.
5/10+8/100
I NEED HELP PLSSSS
Answer:
1 58/100 or 1 29/50 (simplified)
Step-by-step explanation:
you can turn them into decimals
5/10 = 0.5
8/100 = 0.08
0.5 + 0.08 = 0.58
0.58 = 58/100 = 29/50
Plz answer fast! Tell the correct answer(both parts), or else I will report you.
Answer:
d1 = -1.5
dn = dn-1 *-4
Step-by-step explanation:
-1.5, 6, -24,96
The first terms is d1
d1 = -1.5
To find the common ratio divide the second term by the first term
6/-1.5 = -4
Check 6*-4 = -24
-24*-4 = 96
dn =dn-1 * -4
Answer:
D (1) = -1.5
D (n)= dn-1 *-4
Step-by-step explanation:
I know ;) hope this helps.
what is the constant rate of change of the function represented in the table?
X: -5 -1 3 7
Y: 23 7 -9 -25
PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST
Answer:
-4
Step-by-step explanation:
please tell me if u need explaination
Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D
Answer:
It is a reflection across the y axis
Step-by-step explanation:
The reflection of point (x, y) across the x-axis is (x, -y).
The reflection of point (x, y) across the y-axis is (-x, y).
Since (-4, -2.4) becomes (4, -2.4) The x values changes sign. It is a reflection across the y axis
Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:
A.
4,5 cm
B.
7,5 cm
C.
8cm
D.
18cm
Answer:
C
Step-by-step explanation:
Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x
Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
Can anyone please help?
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
Please help me! There is graph an I out them as pictures!
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
Sorry for the bother help plz
Answer:
216 a^6
Step-by-step explanation:
(6a^2)^3
We know (xy)^z = x^z * y^z
6^3 * a^2^3
216 a^2^3
We know x^y^z = x^(y*z)
216 a^(2*3)
216 a^6
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
So sorry I really need help
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)
Answer:
-20/343
Step-by-step explanation:
What is the slope of the graph of y = -3x?
-1/3
1/3
-3
3
Answer:
Slope is -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -3x
↓ Compare to y = mx + b
Slope m = -3
y-intercept b = 0
Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:
1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)
Answer:
-4 -6 2 -2x 3-4x 2x-3
Step-by-step explanation:
3 - 7= -4 (7 is larger so we get - sign)
-4-2=-6(we add "-" terms but they have the - sign)
-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)
x-3x=-2x(3x is larger)
3-4x=3-4x(Unlike Terms)
-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
HELP HELP HEL[P HELP HELP HELP HELP
sorry about the wrong file
write the answer in the comments section
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x-y>-3
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
linear inequality in the coordinate plane.
[tex]5x-y > -3[/tex]
which can be written as
-y > -3 -5x
y < 3 + 5x ( standard way to express inequality )
Now , to get the points for graph the inequality
We will treat inequality as equation
y = 3 + 5x
x y
0 3
1 8
-1 -2
-0.6 0
Now,
As per rule of graph the inequality
The boundary line is dashed for > and <
and If the symbol ≤ or < is used shade below the line.
Therefore , graph the inequality is plotted accordingly .
Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
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graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate
I)the length of the minor
Ii)Perimeter of the sector
Iii)the area of the sector[take pi =22/7
Answer:
c
Step-by-step explanation:
the perimeter of the sector
Answer:
Sorry dont know :(
Step-by-step explanation:
Complete the following sentences based on the graph of the function.
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
50 POINTS if u answer every question no explaining needed
Answer: 2nd one.
Step-by-step explanation:
Basically is more turkey for cheaper price...
The best buy is the second turkey.
1. 1 5/7
2. 1 mile per hour
3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.
4. a. 3 batches of cookies
b. 180 cookies
5. a. 1/8 of a pound of candy every day
b. It will take him 8 days to eat 1 pound of candy
Let me know if any of these are wrong, I will correct them.
Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways.
1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.
Answer:
Divide each side by -8
Distribute
Step-by-step explanation:
-8(n + 7) = -88.
Method 1
Divide each side by -8
n+7 = 11
Subtract 7 from each side
n = 4
Method 2
Distribute
-8n-56= -88
Add 56 to each side
-8n = -32
Divide by -8
n=4
Answer:
Distributive property & dividing -8 on both sides.
Step-by-step explanation:
You can begin solving the equation by either using the distributive property or dividing -8 on both sides.
Distributive Property:
[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]
Dividing:
[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]
