All the function graphed have domain of all real numbers.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
The domain of a function is defined by the graph's x-values (input values).
Similarly, Range is defined by the set of y-values (output values) in the function's graph.
Now, From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
Learn more about Function here:
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Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)
the slope is 6/-5
subtracting the y values gives you -2-(-8)=6
subtracting the x values gives you -1-4= -5
Given:-
Two points (4,-8) and (-1,-2) .To find :-
The slope of the line through these points .Solution :-
As we know that the slope is ,
[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]
Substitute the values ,
[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)
[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1
[tex]\longrightarrow[/tex] Slope = 6/5
Hence the slope of the line is 6/5 .
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.
Answer:
Step-by-step explanation:
Your equation makes no sense.
I will ASSUME you mean
y = -x² - 2x + 3
which can be factored
y = (x + 3)(-x + 1)
x intercepts occur when y = 0
0 = (x + 3)(-x + 1)
which means either
x + 3 = 0
x = -3
or
-x + 1 = 0
x = 1
x intercepts are (-3, 0) and (1, 0)
The vertex will occur halfway between these point
x = (-3 + 1) / 2 = -1
so vertex = y = -(-1)² - 2(-1) + 3 = 4
(-1, 4)
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
CAN SOMEONE ANSWER THIS!!!!!!!!
Answer:
Step-by-step explanation:
2 now help me :(
The amount of money, y, pizzeria J makes by
selling x pizzas can be modeled by the equation
y = 14x. The relationship of the amount of money
pizzeria W makes is shown in the following graph.
Which pizzeria makes more money per pizza?
Answer:
Pizzeria J
Step-by-step explanation:
Pizzeria J makes
y = 14x
Let x = 1, for 1 pizza. Then,
y = 14 × 1
y = 14
At pizzeria J, 1 pizza costs $14.
In the equation y = 14x, the slope, 14, is the cost per pizza.
Now we find the slope of the graph for pizzeria W.
The x-axis is the number of pizzas.
For x = 1, y = 11.
The slope is 11, so the price per pizza is $11.
Answer: Pizzeria J
Find the area of the circle whose diameter is 68 cm
Answer:
1156πcm²
Step-by-step explanation:
Diameter = 68cm
Therefore radius = 68 ÷ 2 = 34cm
Area of a circle = πr²
= π × 34cm × 34cm
= π × 1156cm
= 1156πcm²
NOTE: In case you're given the value of pi, substitute it into the formula to get your answer
Pencils can be purchased in packages of 12 or 25. If Karl purchased 8 packages to get 135 pencils, how many packages of 12 did he buy?
Answer: 60
Step-by-step explanation:
list all of the multiples and choose the least common number
10: 10 20 30 40 50 60 70 80 90 100
12: 12 24 36 48 60 72 84 96
find a number that shares all the prime factors of the two numbers
prime factors of 10: 2, 5
prime factors or 12: 2, 2, 3
LCM = 60
Write the equation for the function graphed below
Answer:
Step-by-step explanation:
looks to be a parabola, so use vertex mode (h, k) = (-1, 2)
y = a(x - h)² + k
y = a(x + 1)² + 2
another point on the curve seems to be (1, 6)
6 = a(1 + 1)² + 2
1 = a
y = (x + 1)² + 2
or expand for standard form y = ax² + bx + c
y = (x² + 2x + 1) + 2
y = x² + 2x + 3
Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
4.59318
Step-by-step explanation:
I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12
Answer:
y=3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3(x-(-3))
y+5=3(x+3)
y=3x+9-5
y=3x+4
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
pls help!ill give brainlest to the smartest!
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
the answer is 64 multiplication can be done with calculator or normal
the base and height of a triangle are in the ratio 4:5 . if the area is 640 sq.cm find the the base and height
Show work on the graph pls help I’ll brainlest ASAP
Answer:
Slope (known as m) = -3/2; Y-int (known as b) = 3
Step-by-step explanation:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]
m = [tex]\frac{-3}{2}[/tex]
b = [tex]3[/tex]
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
Estimate 47 divided by 1/2
Answer : 94
Step by Step :
47/0.5=94
Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3
Answer:
16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
Consider the circle centered at the origin and passing through the point (0, 2).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)
Answer:
x^2+y^2=4, yes, no, yes, no
Step-by-step explanation:
a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.
b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.
([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.
(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
What is the image of (−4,−7) after a reflection over the x-axis?
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
What is the square root of -2x^2
Answer:
-2x
Step-by-step explanation:
the answer for the question is -2x
$5.15 per 5-pound bag
Answer: 1 pound = 1.03
Step-by-step explanation:
not sure what you wanted from this but here are possible answer
Hey there!
When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.
$5.15/5 lb
= 5.15 ÷ 5 lb
= 5.15 ÷ 5 lb
= $1.03
Therefore, your answer SHOULD be: $1.03
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?
Answer:
14 Pounds
Step-by-step explanation:
35 / 12 = 2.9167
being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.
As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?
Answer:
29.4
Step-by-step explanation:
6 wholes and 1/3 converted into decimal?
Answer:
6 is a whole number.
[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.