Answer:
400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1
Step-by-step explanation:
the square root of 400 is rational because the product is 20 which is a whole number making it a rational number because a rational number is any interger, fraction , terminating decimal, or repeating decimal.
Given f(x) = -3x + 5, find f(-6).
Answer:
23
Step-by-step explanation:
Since it says f(x) that means that when we see f(-6) we are substituting x for -6.
This means that the equation will become
f(-6) = -3(-6) + 5
First multiply -3 and -6 (18)
f(-6) = 18 + 5
Next add 18 and 5 (23)
This means that f(-6) = 23
23
This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)
[tex]f( - 6) = - 3( - 6) + 5[/tex]
[tex]f( - 6) = 18 + 5[/tex]
[tex]f( - 6) = 23[/tex]
HELP PLEASE !
ASAP
a=
b=
c=
Answer:
a = 0, b = 6, c = 4
Step-by-step explanation:
Given
f(x) = - x² + x + 6 , then
f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a
f(0) = 0 + 0 + 6 = 6 ← b
f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c
Answer:
a = 0
b = 6
c = 4
Step-by-step explanation:
f(x) = -x² + x + 6
a = -(-2)² + (-2) + 6 = 0
b = -(0)² + (0) + 6 = 6
c = -(2)² + (2) + 6 = 4
The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2
Given the Venn diagram below, which statement must be true?
the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:
what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,
The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units
Answer:
B. 12 square units
Step-by-step explanation:
Answer: 12 square units
Step-by-step explanation: 1/2(6)(4)
There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.
Answer:
s=(73-31)
31+s=73
s= 42
Step-by-step explanation:
In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.
Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the difference ?
Answer:
$15 in debt
Step-by-step explanation:
Subtract 33 from 18
18 - 33
= -15
So, he will be $15 in debt
Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
Answer: 12x^3 + 19x^2 -27x -40
Step-by-step explanation:
Finding f(x) times g(x) is multiply the two polynomials
(4x+5)(3x^2 + 1x -8) Apply the distributive property twice to solve
4x ( 3x^2 + 1x -8)
12x^3 + 4x^2 - 32x
5(3x^2 + 1x -8)
15x^2 + 5x - 40
12x^3 + 4x^2 - 32x + 15x^2 + 5x -40 now combine like terms
12x^3 + 19x^2 -27x -40
The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.
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 functions are given below.
f(x) = 3x² + x - 8 and g(x) = 4x + 5
The function g(f(x)) is written as,
g(f(x)) = 4(3x² + x - 8) + 5
Simplify the function, then we have
g(f(x)) = 4(3x² + x - 8) + 5
g(f(x)) = 12x² + 4x - 32 + 5
g(f(x)) = 12x² + 4x - 27
The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)
Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
Answer:
D
Step-by-step explanation:
Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?
Answer
A
Step-by-step explanation:
he inverse of F(C) = 9 5 C + 32 is C(F) = F −
Answer:
C(F) = 5/9 F − 160/9
Step-by-step explanation:
[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
The given function is:
[tex]f(c) = \frac{9}{5} c +32[/tex]
What is the inverse of a function?If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).
[tex]f(c) = \frac{9}{5} c +32[/tex],
let us suppose [tex]y= \frac{9}{5} c +32[/tex]
[tex]y-32 = \frac{9}{5} c[/tex]
[tex]c = \frac{5}{9} (y-32)[/tex]
[tex]c = \frac{5}{9} (f(c)-32)[/tex]
In order to get the inverse function, interchange c and f(c),
[tex]f(c) = \frac{5}{9} (c-32)[/tex]
Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
To get more about inverse functions visit:
https://brainly.com/question/1144043
30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?
Answer:
131.086
Step-by-step explanation:
Can somebody help?
Answer:
a its the first one
Step-by-step explanation:
because i did the math and i have dont this question before
Answer:
Angles 1 and 2 are supplementary
Step-by-step explanation:
Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!
Answer:
8
Step-by-step explanation:
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
What is -S to the power of three minus 5st, S= -3 and T= -2.
I need help with #4 please! Thank you!
Answer:
$54.25
Step-by-step explanation:64-9.75=54.75
Answer:64-9.75=54.25
Step-by-step explanation:
Simplify. 1/3(1−1/4)^2
Answer:
3
-
16
Step-by-step explanation:
Use the figure to write and solve an equation for x.
Answer:
x = 33
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
This question is confusing. Please help me!This question is confusing. Please help me!
Answer:
(C) 1/2
Step-by-step explanation:
s + 3s = 4st + 3t = 4tIf 4s is 2 more than 4t, then:
4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2(C) is the answer
Answer:
C
Step-by-step explanation:
We are given
t + 3t + 2 = s + 3s, that is
4t + 2 = 4s ( subtract 4t from both sides )
2 = 4s - 4t ← factor out 4 from each term
2 = 4(s - t) ← divide both sides by 4 , thus
s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C
Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?
Answer:
Total time for which they ride = [tex]\bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
Step-by-step explanation:
Average speed = 8 mi/hr
Let the Distance to Mill Park = [tex]D[/tex] mi
Let the time taken = [tex]t[/tex] hours
Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]\Rightarrow D = 8t[/tex] ..... (1)
Now, when average speed = 7 mi/hr
Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours
Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi
Using the Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]D+4=7\times (t+1)[/tex]
From equation (1):
[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]
From equation (1):
[tex]D = 8 \times 3 = 24\ mi[/tex]
Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
use the given tables to evaluate: f(g(1))
B) f(g(1))= -8 is your answer
There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?
Answer:
1 :5Step-by-step explanation:
[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]
Answer:
the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)
Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH
Answer:
16
Step-by-step explanation:
20-4=16
If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?
Answer:
3 bags
Step-by-step explanation:
9*(1/3 bag) = 3 bags
In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?
Answer:
530, 470.
Step-by-step explanation:
The maximum amount is 500 + 30 = 530.
The minimum amount is 500 - 30 = 470.
1/1 1/4 1/9 what's the pattern
Answer:
adding a fifth
Step-by-step explanation:
Answer:
adding a fifth
Step-by-step explanation:
duhhhhhhhhhhhh
33/3 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number
Answer:
Rational Number
Step-by-step explanation:
A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q. 33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3. This makes 33/3 a rational number.
A sample of gold weighs 100 grams and has a volume of 5.18 cm'. What is the density of gold?
Simplify 3/5 • 3/4 .
Answer:
9/20 as a faction as a decimal 0.45
Step-by-step explanation:
Simplify 3/5 • 3/4
I hope this help