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.
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:
What is the slope of the line that passes through the following points:
(4,-3), (-5,10)
Answer:
13/-9
Step-by-step explanation:
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.)
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.
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.
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
FG is the geometric mean of which two segments
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.
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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.
Answer:
13.15
Step-by-step explanation:
Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42
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
WHICH OF THE FOLLOWING IS THE SLOPE?
diamter of a cirlce is 10 feet find its area in terms of pie
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
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
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
Kevin can do 20 sit-ups in 1 minute.
How many sit-ups can he do in 12 minutes?
help please? i am a little bit confused
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.
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
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
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
Can someone help me please
Answer:
D
Step-by-step explanation:
The answes D kiddo cuz
10 x 3 = 30 and 17 x 3 = 51
this one alsooooooooo
Answer:
the answer is cd
Step-by-step explanation:
I need some help with this.
Answer:
b is 16 d is 13
Step-by-step explanation:
ok is a baby girl that can I be happy
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).
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)
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?
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:
Evaluate f(x) = 4 - 5x for f(-2)
*
Answer: the answer would be X E R
Step-by-step explanation:
On a bank account of $1,600, how much yearly interest will be paid
if the rate is 5%?
Answer:
Step-by-step explanation:
if in the bank account is 1600 dollars
the rate is 5%
1600*5%=80 dollars
Find the sum of (8a + 2b - 4)
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!
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.
Answer:
in 11 months
Step-by-step explanation:
y=50x+38,200
y=-150x + 40,400
The histogram shows the duration, in minutes, of movies in theaters. A graph shows number of minutes labeled 84 to 147 on the horizontal axis and number of movies on the vertical axis. 2 moves are 84 to 91 minutes. 4 moves are 91 to 98 minutes. 5 movies are 98 to 105 minutes. 4 movies are 105 to 112 minutes. 3 movies are 112 to 119 minutes. 3 movies are 119 to 126 minutes. 2 movies are 126 to 133 minutes. 2 movies are 133 to 140 minutes. What relationship between the median and mean is shown by the histogram? The mean is less than the median. The median is less than the mean. The mean is equal to the median. The median and mean cannot be compared from a histogram.
The relationship between the median and mean shown by the histogram is; The median is less than the mean.
How to Interpret Histograms?From the given histogram, we see that it has a lot of its data on the left side.
Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.
Thus, we can conclude that the median is less than the mean.
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Answer:
b
Step-by-step explanation:
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.
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
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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"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
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
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
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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9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.
Answer:
We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.
Remember that the mean between two numbers A and B is:
Mean = (A + B)/2
In this case, the mean diameter will be:
D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi
And we know that the surface of a sphere of diameter D is:
S = 4*pi*(D/2)^2
Where pi = 3.14
Then the surface of the Earth will be something like:
S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2
b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.
First, the total surface of the Earth will be:
S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2
And 75% of this is water, then the total water surface is 0.75 times that area, this is:
water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2
I need help fast! Given the diagram below, find the length of CH.
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