a. False; if b is negative, then -b is positive, so
a - b = a + (-b)
is the sum of two positive numbers, which must be positive.
b. True; the sum of two negative numbers is again negative.
c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)
d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)
Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
Find the measure of the angle given
Step-by-step explanation:
This is a cyclic quadrilateral, so angles E and P are supplementary.
Since angle P is 100 degrees, angle E is 180-100=80 degrees.
someone please help
Answer:
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(h(x)) = x[/tex]
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 7[/tex]
[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(x) = \frac{5}{9x} [/tex]
[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]
[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]
P varies inversely with Q, and P=12 when Q=8. Find P when Q=3.
Answer:
32
Step-by-step explanation:
Given :
P ∝ Q⁻¹ or P ∝ 1/QFinding the propotionality constant
P = k/Q12 = k/8k = 12 * 8 = 96Finding P in Case (ii)
P = k/QP = 96/3P = 32Please help only 2 questions please!! >_<.
Answer:
Edit:
7. Linear because the graph is a straight line with an x and y variable
8. Non-linear because the graph is not a straight line
Sorry for the confusion with my previous answer! I hope this helps!
Write a rational expression with denominator (x - 3)(x + 2) that is equivalent to 3x-1/x+2
Answer:
(x-3)(3x-1)/((x-3)(x+2))
Step-by-step explanation:
An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.
__
To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).
[tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]
What is the slope of the line?
y = -2/7x
A. -2
B. -2/7
C. 0
D. 2/7
Solve the math problem
Answer:
a no association b non liner c liner d liner
Answer:
A) No association
B) Nonlinear
C) Linear
D) Nonlinear
Step-by-step explanation:
Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.
Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.
No Association: a graph of data showing discrete (individual) points of data that are not connected.
Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.
HELP PLEASE URGENT, ASAP. GRADE 11 TRIGONOMETRY MATH, ill give brainliest.
Answer:
deedww
Step-by-step explanation:
Simplify the expression: 4a+8−2a−4+7b
Expression:__
Answer:
2a+7b+4
Step-by-step explanation:
collect like terms:
4a-2a=2a
8-4=4
then put the equation back together
A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.
Write a linear function to represent the total cost,y,a new customer would pay for x months of service
pls help ill kiss u
Write a recursive sequence that represents the sequence defined by the following
explicit formula:
an=-5(3)n+1
Answer:
a1= -45
an= -5 ⋅ 3^n+1
Step-by-step explanation:
What is -1/2+2/3 please answer i need
Answer:
1/6 i think
Step-by-step explanation:
which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?
The answer would be: f(x) = x(x + 3)(x – 4)
Please help!! thanks!
Answer:
C. (5, 1)
Step-by-step explanation:
Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C
Hope this helps!
solve for c
x^(2)+12x+c
Answer:
14x+c
Step-by-step explanation:
I hope it's to help
Work in groups of 4 to find the areas of these regular polygons.
12
14
After heating up in a teapot, a cup of hot water is poured at a temperature of
20
8
∘
208
∘
F. The cup sits to cool in a room at a temperature of
6
8
∘
68
∘
F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T
=
T
a
+
(
T
0
−
T
a
)
e
−
k
t
T=T
a
+(T
0
−T
a
)e
−kt
T
a
=
T
a
= the temperature surrounding the object
T
0
=
T
0
= the initial temperature of the object
t
=
t= the time in minutes
T
=
T= the temperature of the object after
t
t minutes
k
=
k= decay constant
The cup of water reaches the temperature of
18
5
∘
185
∘
F after 3 minutes. Using this information, find the value of
k
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.
Enter only the final temperature into the input box.
Answer:
k ≈ 0.060T(4) ≈ 178 °FStep-by-step explanation:
The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.
__
Given:[tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]
Find:k
T(4)
Solution:Filling in the given numbers, we have ...
185 = 68 +(208 -68)e^(-k·3)
117/140 = e^(-3k) . . . . . subtract 68, divide by 140
ln(117/140) = -3k . . . . . . take natural logarithms
k = ln(117/140)/-3 ≈ 0.060
__
The temperature after 4 minutes is about ...
T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186
T(4) ≈ 178.205
After 4 minutes, the final temperature is about 178 °F.
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.
43
so sorry if this is incorrect.
The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.
more less
7th 12 14
8th 20 26
To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.
20 students out of 46 students (20+26) answered "more" which is about 43.48%
Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
which equation represents a line which is perpendicular to the line x-5y=-40
Answer:
Final answer -
[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]
hope helpful :D
Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units
Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
it costs 42 dollars for 12 cookies how much is 1 cookie
Answer:
$3.50
Step-by-step explanation:
if you divide 42 by 12 you get 3.5
Paulina is driving 25 miles per hour. Which equation can be used to determine d, the distance Paulina traveled in miles after h hours?
Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is
d = 25*h
Speed, Distance and TimeGiven Data
Speed = 25 miles per hoursDistance = d milesTime traveled = h oursWe know that the expression showing the relationship between speed, distance and time is given as
Speed = Distance/Time
Substituting our given data we have
25 = d/h
Making distance subject of formula we have
25*h = d
d = 25*h
Learn more about speed here:
https://brainly.com/question/4931057
Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?
Answer:
75 seconds to run 180 meters
Step-by-step explanation:
(180m) / (2.4m/s) = 75 seconds
75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.
The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
✰ Concept Used :-
⠀
In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.
⠀
✰ Given Information :-
⠀
Hypotenuse = 22 ft. Base = 10 ft.⠀
✰ To Find :-
⠀
The value of side or the perpendicular⠀
✰ Formula Used :-
⠀
[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]
⠀
✰ Solution :-
⠀
[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, option B. 19.60 ft. is the correct option.
⠀
[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]
Answer:
Answer is B
Step-by-step explanation:
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
7
Step-by-step explanation:
As it is a RIGHT triangle, the formula is a^2+b^2=c^2.
We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.
To find 4 root 2 square, you square them individually then multiply.
4^2=16 times 2 (root 2 squared is 2).
Simplified, that gives 16x2=32,
81-32=49.
The last leg is seven.
someone help me please
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x² - 6x = 8
Add 9 on both sides, then we have
x² - 6x + 9 = 8 + 9
(x - 3)² = 17
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
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If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).
[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]
so f(4) = 11
Hope that helps!
Answer:
f(4) = 11
Step-by-step explanation:
Given :
base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2Solving :
f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4
f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11
What type of triangle is this?
We can classify triangles by their angles and their side lengths.
ANGLES:
---Acute = all angles in the triangle are less than 90 degrees
---Right = one angle in the triangle is equal to 90 degrees
---Obtuse = one angle in the triangle is greater than 90 degrees
SIDE LENGTHS:
---Equilateral = all side lengths of the triangle are the same
---Isosceles = two side lengths of the triangle are the same
---Scalene = no side lengths of the triangle are the same
In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.
Answer: right, scalene
Hope this helps!
find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
Angle I = 44
Measure GH=7.64
Measure GI=7.91
Step-by-step explanation:
Angle I:Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.
[tex]180=46+90+x\\44=x[/tex]
Measure GH:Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.
First is GH, since it's adjacent to the angle, we will use cosine.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]
Measure GI:The same idea as previous, only instead we will use sine since we need to find the opposite.
[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]
