Answer:
a < -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-11 > 1 + a
Step 2: Solve for a
Subtract 1 on both sides: -12 > aRewrite: a < -12Here we see that any value a smaller than -12 would work as a solution to the inequality.
Answer:
a < -12
Step-by-step explanation:
Need help please!!!!!!!
Answer:
First Option {-2 , 0 , 2}
Step-by-step explanation:
A critical point occurs when the derivative is 0 or undefined.
The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are
{-2 , 0 , 2}
Use the quotient rule to find the derivative of the function then equal it to zero
[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]
USE The two Approches, Find
The lCM OF 48, 60,72
answer it is right at right write L.C.M
Can I get some help ill make you brainlist and ill give 100 points
Answer:
the first one is 65 degrees i think
Step-by-step explanation:
Answer:
I HAVE NO IDEA
Step-by-step explanation:
Please give me brainliest im determine i really
have only been picked one time and please give me brainliest i really need it im sorry i didnthelp but im litterly crying right now please please please give me brainliest
First to solve right !!!!WIL GET MARKED BRAINLIEST!!!! (easy)
I have $3
My mom gave me $20
My dad gave me $100
My uncle n auntie gave me $50
I had $10
How much did i have??
Answer:
183$
Step-by-step explanation:
.........................
The quantities xxx and yyy are proportional. xxx yyy 222 222222 777 777777 999 999999 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Answer:
If the table is:
x=2 y=22
x=7 y=77
x=9 y=99
you can see that 22/2=11 same with 7/77 and 9/99
r=11
Step-by-step explanation:
pretty simple but i probably explained it horribly
The constant of proportionality (r) is 11 for the given variables in the table.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The table is given in the question consists as:
The value of variable x = 2 when variable y = 22
The value of variable x = 7 when variable y = 77
The value of variable x = 9 when variable y = 99
We have to determine the constant of proportionality (r)
the constant of proportionality (r) = y / x
Substitute the values in the above equation,
the constant of proportionality (r) = 22/2 = 7/77 = 9/99 = 11
the constant of proportionality (r) =11
Thus, the constant of proportionality (r) is 11 for the given variables in the table.
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wa says that 15 years from now his age will be 3 times his age 5 years ago. If a represents William's present age complete the following 25 years 28 years X-15= 3+ 5) x+15= 3(4-5) The equation representing William's claims
Answer:
x+15 = 3(x-5)
Step-by-step explanation
Let the william present age be a, we are to find the equation representing William's claims
15 years from now, williams age will be x+15
5 years ago, his age will be x - 5
if 15 years from now his age will be 3 times his age 5 years ago, this is expressed as;
x+15 = 3(x-5)
Hence the required equation is x+15 = 3(x-5)
The diagram shows the number of quarts of blood the human heart pumps per minute. A drawing shows an anatomy of human heart. Label reads: Pumps 5 quarts of blood per minute. a. How many quarts of blood does the human heart pump per hour? quarts per hour Question 2 b. How many liters of blood does the human heart pump per minute? liters per minute
The unitary method is used to find the unit value of any quantity.
(a)The human heart pumps 300 quarts/hour.
(b) The human heart pumps 4.730 liters/minute.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
Reading on the label is 5quarts/min.
Since, 60 min = 1 hour
Use unitary method to get,
1 min = 1 / 60 hour.
Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)
= 5 × 60
= 300
Since, 1 quart = 0.946 liter
The pumping of blood in liter/minute = 0.946 × 5
= 4.730.
Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.
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What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number
Answer:
It will take 9 years for the population to double
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
[tex]2P_o=P_o(1+0.08)^t[/tex]
Simplifying:
[tex]2=(1.08)^t[/tex]
Taking logarithms:
[tex]\log 2=\log (1.08)^t[/tex]
Applying the exponent property of logs:
[tex]\log 2=t\log (1.08)[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\log 2}{\log (1.08)}[/tex]
Calculating:
[tex]t\approx 9[/tex]
It will take 9 years for the population to double
A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?
Decreasing one fifth unit/sec
Increasing one fifth unit/sec
Decreasing one tenth unit/sec
Increasing one tenth unit/sec
Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
Find the constant of proportionality for the table of values.
х
4
5
6
7
у
14
17.5
21
24.5
The constant of proportionality is k =
Answer:
[tex]\huge\boxed{k=3.5}[/tex]
Step-by-step explanation:
[tex]\dfrac{y}{x}=constant=k[/tex]
Divide the y value by its corresponding x value:
[tex]\dfrac{14}{4}=\dfrac{7}{2}=3.5\\\\\dfrac{17.5}{5}=3.5\\\\\dfrac{21}{6}=\dfrac{7}{2}=3.5\\\\\dfrac{24.5}{7}=3.5[/tex]
Identify the domain and range of the function.
Answer:
Domain is all real numbers, and range is all integers. (D)
Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?
Answer:
$28
Step-by-step explanation:
Given that:
Value of Winning bid = $52
Winning bid 65% of the maximum bid.
To find:
How much more is the maximum bid from the winning bid ?
Solution:
We are given that the winning bid is 65% of the maximum bid.
Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.
Let the value of maximum bid = $[tex]x[/tex]
As per question statement:
[tex]65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80[/tex]
Therefore, maximum bid = $80
Our answer is:
$80 - $52 = $28
HELP. How long is the minor axis for the ellipse shown below?
Given:
The equation of ellipse is
[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]
To find:
The length of the minor axis.
Solution:
The standard form of an ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.
We have,
[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]b^2=16[/tex]
Taking square root on both sides.
[tex]b=\pm 4[/tex]
Consider only positive value of b because length cannot be negative.
[tex]b=4[/tex]
Now,
Length of minor axis = [tex]2b[/tex]
= [tex]2(4)[/tex]
= [tex]8[/tex]
So, the length of minor axis is 8 units.
Therefore, the correct option is B.
8500 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 59700 dollars?
Answer:
6
Step-by-step explanation:
j
Answer:29
Step-by-step explanation:
goran just bought a refrigerator for $851. He paid $255.20 in down payment and will pay the rest in 6 equal installments. How much does he need to pay for each installment
Answer:
106.13
Step-by-step explanation:
855-255.2=636.8
636.8/6=106.13333
What does bc equal ?
Answer:
180
Step-by-step explanation:
Can this be a line of symmetry?
Answer:
No, it can not
Step-by-step explanation:
Hope this helped have an amazing day!
The equation y = 12 - 0.2x shows the amount of candle that is left (in ounces) after
burning for x hours. What is the y - intercept for the function, and what does it represent
Answer:
The y-intercept is 12.
It represents the original length of the candle.
Step-by-step explanation:
y = 12 - 0.2x
y = 0.2x + 12
y = mx + b
b is the y-intercept.
b = 12
The y-intercept is 12.
It represents the original length of the candle.
Triangle DABC is similar to DEFG.
What is the area of DEFD?
Select the best answer from the choices provided.
A.
250 in.2
B.
125 in.2
C.
10 in.2
D.
5 in.2
Answer:
is there an image provided?
Step-by-step explanation:
What do you call a person or an institution who invests the money or the
one who makes the funds available?
An institutional investor is a person or organization that trades securities in large enough quantities that it qualifies for preferential treatment and lower fees. A retail investor is an individual or non-professional investor who buys and sells securities through brokerage firms or savings accounts.
tip: make sure to reword it
Answer:
Lender
Quizzz review some of this the test name is
Math Math Math!!!!
10 questions
By:Mrs. Bagauisan
these kids are mad annoying no cap
Answer: :) :0 :D :P :N intresting question
Step-by-step explanation: i dont know what the H -e -l -l I'm doing here
Help please. Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.
3
1/3
-1/3
-3
Answer: - 1/3
Step-by-step explanation:
An equation for a house's value is y = 7500x + 125000,
where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year
9514 1404 393
Answer:
a) 125000
b) the value now
c) 140000
d) 7500 per year
Step-by-step explanation:
a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.
__
b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.
__
c) When x=2, the value is ...
y = 7500(2) +125000 = 140000
The value of the house is projected to be 140000 two years from now.
__
d) The coefficient of x being 7500 means the value will increase 7500 each year.
please help me with this
Answer:
top right equation
Step-by-step explanation:
y=x^2-2
my answer got deleted. so stup id
What point is on both lines y = {x +3 and y = x +1? (1 point)
Please help ASAP
Answer:
No point
Step-by-step explanation:
This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.
Given z1=9+9sqrt(3)i and z2=2+sqrt(3)i what is z2-z1
This is urgent will give brainliest!
Answer:
[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]
The required simplification of z2-z1 = -7-8sqrt(3)i.
z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.
A complex number is defined as the sum of a real and imaginary numbers.
Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]
Thus, the required simplification of z2-z1 = -7-8sqr(3)i.
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Which of the following are irrational numbers?
Check all that are true.
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Answer:
d for sure
Step-by-step explanation:
supposea,b,and c represent three postive whole numbers. if a+b=19, b+c=28, and a+c=25 what are the values of a, b, and c? solve for x sqaured 2 -4x +3 = 0
Help how do I do this?
Answer:
THE ANSWER IS 9
bc you will distribute 2x+16-2 18÷2 =9