Vocabulary Check:
Integers are numbers that are neither fractions nor decimals.
Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.
Integers = -23, 2, 3, 16, 0, -4
Whole Numbers = 0, 2, 3, 16
Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4
Irrational: None
If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
what is the average rate of change for the quadratic function from x=4 and x=8? enter your answer in the box
Answer:
the image up is your answer to the question.
Answer:
-2
Step-by-step explanation:
Value of the function at x = 4 is 12
Value of the function at x = 8 is 4
change in y is 4 - 12 = -8
change in x is 8 - 4 = 4
x = 4 to x = 8 is -8/4 = -2
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
9x= 18
9 9
x= 2
1/2 of the total dog population in your town is 130 dogs. How many dogs are there in your town?
Answer:
260
Step-by-step explanation:
hope it helps
Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60
Answer:
$66.6
Step-by-step explanation:
Given that,
The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full amount due on the bill.
We need to find 20% of $333 as follows :
[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]
Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).
Solve each system of equations using substitution
Y=2x+3
5x-2y=-6
Which of these is true about pi? A It is a terminating decimal. B It is an irrational number. C It is a repeating decimal. D It is a ratio of integers.
Answer:
B. It is an irrational number
Step-by-step explanation:
A would not be true because PI does not terminate (end)
B is true, because PI does not repeat or end
C would not be true because PI does not repeat
D just would not be true
Please help. BRAINLIEST TO BEST ANSWER
Answer:
b
Step-by-step explanation:
we have the point
[tex](2,-4)[/tex]
so when
x=2
y=4
so we can try on all equations
[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]
so equation 1 could be
[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]
so equation 2 could be
[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]
so equation 3 is not
[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]
so equation 4 is not
So another point that we have is
[tex](0,-3)[/tex]
so we plug in
[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]
so this isn't
[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]
so the answer is b
( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
Answer:
Step-by-step explanation:
(5 - 2i)^2
25 - 10i - 10i + 4I^2
25 -20i - 4
21 - 20i
Find the vertex of the parabola with the equation y=-5x^2+30X+35
There are ten pieces of pizza. Anthony ate 4 9 of the pizza for dinner. He ate 1 6 of the pizza for a bedtime snack. How much of the pizza has he eaten in all? Give your answer as a fraction, reduced to lowest terms.
Answer:
7/18
Step-by-step explanation:
Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.
Anthony had eaten an (11/18) fraction of pizza in all.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
How to solve the given question?In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.
We are asked to find how much of the pizza has he eaten in all.
Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.
or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,
or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,
or, Total pizza Anthony had = {11/18}th fraction of pizza.
Therefore, Anthony had eaten an (11/18) fraction of pizza in all.
Learn more about fractions at
brainly.com/question/11562149
#SPJ2
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please
Answer:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Step-by-step explanation:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Need help writing an equation and solving! A concert hall has seven sections. Each section has 23 rows. Each row has 14 seats. If the theater sells out for a particular performance, how many people attended? If the average tickets sold for $20, how much was collected at the box office?
Answer:
322 people attended and made $6440
Step-by-step explanation:
23 x 14 = 322
322 x 20 = 6440
which operation must you use to calculate the submarine's change in elevation? which word or words in the problem signify this operation?
Answer:
The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.
Step-by-step explanation:
Correct answer
4 1/2 x 2 3/5 what is the answer simplified into fraction
Answer:I tnink its 21 sorry if wrong
Step-by-step explanation:
What is 4-9+(-6)?????????
Answer:
it's -11
Step-by-step explanation:
hope this helped
Answer:
-11
Step-by-step explanation:
Problem: 4-9+(-6)
First: 4-9
Second: -5+(-6)
Answer: -11
Find the equation of a line that is parallel to the line y = 3x and contains the point (1, -2).
e
y=(Type your answer in slope-intercept form.)
st
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (1, -2)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 4: Write parallel linear equation
y = 3x - 5
-3/8r + 41 = -22 solve for r
Answer:
r=168
Step-by-step explanation:
1 7/8 x 10/7 x 4 I need help answering this its confusing
Answer: 75/7
Step-by-step explanation:
Concept:
Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.
Solve:
1 7/8= 15/8
1 7/8 × 10/7 × 4
=15/8 × 10/7 × 4
=150/56 × 4
=600/56
=75/7How are the entries of the matrix named by position?
Answer:
6=a23
8=a35
2=a32
Step-by-step explanation:
1. Identify the domain of the relation.
{ (2.5). (3. 8), (4, 11). (5. 14)}
Answer:
The domain is 2,3,4,5
Step-by-step explanation:
Domain is the x values of the input values
You have to put the domain numbers in least to greatest format. And separate the number is commas, not braces
The domain is 2,3,4,5
Hope this helps!
Solve using properties 93+(68+7)
please help!!! urgent
Answer:
E
Step-by-step explanation:
is the answer
If f(x) = 6x and g(x) = 4x+1, find (fog)(x).
Answer:
a) 24x+6
Step-by-step explanation:
Find the average rate of change in the price of gasoline from 2006 to 2008
Year
Cost
2005
$2.31
2006
$2.62
2007
$2.84
2008
$3.30
2009
$2.41
2010
$2.84
2011
$3.58
2012
$3.68
А.
$0.34/year
В.
$0.28/year
C.
$0.32/year
D. $0.35/year
Answer:
A
Step-by-step explanation:
There is 4/6 of a pizza left from dinner . Each person gets 1/6 of a pizza for lunch the next day . How many people eat the pizza for lunch ?
Answer:
B
Step-by-step explanation:
If the pizza is cut into 6 slices, then 4/6 of a pizza is 4 slices. If each person eats one slice, 4 persons can be fed.
Joey Page earns $5.75 per hour at his part-time job. Last week he worked 25 hours. What was his gross
pay for the week
Answer:
143.75
Step-by-step explanation:
idk man use google or something
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m
Fraction Operation pls help
Calculate the standard deviation of the volume of water at a temperature of 25°C.
Answer:
0.01
Step-by-step explanation:
Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.
Average volume of water 10.03ml.
Standard deviation is 0.0001 + 0.0001
Standard deviation is [tex]\sqrt{0.0002}[/tex] = 0.01.