Answers
In interval notation: [0, infinity)
Related Questions
11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answers
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
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FG is the geometric mean of which two segments
Answers
Answer:
EG and GH
Step-by-step explanation:
FG is the geometric mean of EG and GH segments.
FG is the geometric mean of EG and GH by using the Right triangle altitude theorem.
Important information:
The given figure of a triangle EFH.Right triangle altitude theorem:According to the Right triangle altitude theorem, if an altitude is drawn on the hypotenuse of a right triangle, then the altitude of a right triangle is the geometric mean of the two segments of the hypotenuse.
From the given figure it is clear that,
Triangle EFH is a right triangle because angle F is a right angle.FG is the altitude on the hypotenuse.Two segments of the hypotenuse are EG and GH.Using the Right triangle altitude theorem, we get FG is the geometric mean of EG and GH.
Find out more about 'Right triangle altitude theorem' here
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Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
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Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answers
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)
Answers
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.
Answers
Answer:
in 11 months
Step-by-step explanation:
y=50x+38,200
y=-150x + 40,400
Kevin can do 20 sit-ups in 1 minute.
How many sit-ups can he do in 12 minutes?
Answers
I hope that helps
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
Answers
Answer:
answer will be 67
Step-by-step explanation:
f(x) = 61 - x
x = -6
hence we substitute the value of x in f(x)
f(-6) = 61 - (-6)
= 61 + 6
= 67
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
f(x) = 6(1 - x)
The value of the function at x = -6 will be given as,
f(-6) = 6[1 - (-6)]
Simplify the equation, then we have
f(-6) = 6[1 - (-6)]
f(-6) = 6(1 + 6)
f(-6) = 6 × 7
f(-6) = 42
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
More about the function link is given below.
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Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus 20¢ per mile driven. EconoCar charged a flat fee of $344 plus 35¢ per mile driven. Which equation should he use to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal?
Answers
Answer:
What are the options?
Step-by-step explanation:
Answer: I would help you but I do no know the answer to this either and I will help you later have a nice day
Step-by-step explanation:
I need help fast! Given the diagram below, find the length of CH.
Answers
Answer:19.8
Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8
Answer:
CH=12
Step-by-step explanation:
CH=12
9.9+9.9=19.8
19.8x19.8=392.04
8x8=64
392.04-64=328.04
v328.4=18
18-6=12
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answers
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
diamter of a cirlce is 10 feet find its area in terms of pie
Answers
Answer:
25pi
Step-by-step explanation:
Area = pi(r)^2
if diameter is 10 then r = 5
Answer:
25π
Step-by-step explanation:
The radius is half of the diameter. 10/2 = 5 so the radius is 5
The formula for area of a circle is: π[tex]r^{2}[/tex]
[tex]5^{2}[/tex] × π =
25 × π =
25π
Find the sum of (8a + 2b - 4)
Answers
Answer:
There is really no answer to this because this is the furtherest you can go to simplify this expression. I can help solve it if you give me more information, or you tell me what the value of a and b is so I can solve it.
Thanks!
2(4a+b-2)
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
Answers
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
Is the function shown linear or nonlinear? Explain.
A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.
Answers
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
1, 3, 2, 2, 1, 3, 3, 1 What is the mean absolute deviation
Answers
Answer:
6
Step-by-step explanation:
Given the data:
1, 3, 2, 2, 1, 3, 3, 1
The mean absolute deviation :
Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16
Mean = 16 / 8 = 2
Mean absolute deviation :
|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|
= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1
= 6
I need some help with this.
Answers
Answer:
b is 16 d is 13
Step-by-step explanation:
ok is a baby girl that can I be happy
What is the slope of the line that passes through the following points:
(4,-3), (-5,10)
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hope this helped
Answer:
13/-9
Step-by-step explanation:
Evaluate f(x) = 4 - 5x for f(-2)
*
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Answer: the answer would be X E R
Step-by-step explanation:
Can someone help me please
Answers
Answer:
D
Step-by-step explanation:
The answes D kiddo cuz
10 x 3 = 30 and 17 x 3 = 51
WHICH OF THE FOLLOWING IS THE SLOPE?
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You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
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Answer:
13.15
Step-by-step explanation:
On a bank account of $1,600, how much yearly interest will be paid
if the rate is 5%?
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Answer:
Step-by-step explanation:
if in the bank account is 1600 dollars
the rate is 5%
1600*5%=80 dollars
help please? i am a little bit confused
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d: 1.25
c: .035
b: .70
a: .23
these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.
Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42
Answers
Answer:
42
Step-by-step explanation:
g(-5)=-5.-5+17
=25+17
=42
Answer:
42
Step-by-step explanation:
g(x) = -5x+ 17
g(-5) = -5 × -5 +17
g(-5) = 42
Please help its 99 points! I just need to write as an equation to represent a function PLEASE!.
Number of Miles |2|, |4|, |6|, |8|
Total Cost: .60, 1.20, 1.80, 2.50
1. Write an equation to represent the function.
Answers
Answer:
Step-by-step explanation:
i think the last number 2.50 is wrong, maybe is 2.4
total cost= 0.30 x number of miles
for the first 0.30*2=0.60
second 0.30*4=1.20
and so on
Answer:
.60 ÷ 2 = 0.3
1.20 ÷ 4 = 0.3
1.80 ÷ 6 = 0.3
2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3
So are equation would be y ÷ x = 0.3
Help pls I am in 4th and my sister is at school so she can't help pls I was sick when we learned this I need like a couple more and then I can do the rest :(
Answers
Answer:
3/20
Step-by-step explanation:
you multiply 1/4 and 2/5 to get the answer
8. 1/6 + (-7/9)
9. 11 5/7 + 8 1/7
10. 3/12 x 4/21
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this one alsooooooooo
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Answer:
the answer is cd
Step-by-step explanation:
"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
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Answer: -3x + 17 < 29
product means multiply, so we multiply -3 and x as seen in the answer.
the less than sign is <. to remember it: less than starts with L and the sign < looks like an L