Answer:
OK , so I'll follow all your instructions:
x² + 12x - x + 24 = 0
x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8
(x² + 3x ) (+ 8x + 24) =0
x ( x + 3) + 8 ( x + 3)=0
( x + 3 ) ( x + 8)=0
x +3 = 0 or x + 8= 0
x = -3. or x = -8
What is the decay factor in the exponential decay function y=a (1-r) t
Answer:
in this form, the "-r" would cause the result to decrease
I assume that the answer is "r"
if r = .1 (10 %) then 1-.1 = .9
if you have 100 items then y = 100(.9)^1 = 90
the total decreased by 10% ... y = 100(.9)^2 after 2 time periods
Step-by-step explanation:
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively. + COMPANY S COMPANY P Hours Worked Vacation Hours 10 014 Vacation Hours NA Uomo 20 0.8 30 1.2 40 1.6 50 2.0 20 40 60 80 100 120 Hours Worked Drawn on add images here Which statement describes the difference in each friend's vacation hours if both friends work 2,080 hours?
Answer:
Rhys was the only man in a day and he was a the work that he has been through and you have a very nice feeling and a good friend of the family that s you have to love you and love you all and becomes the most loved person you have a lot to be proud about and becomes the first time that he is in a few hours and a day of the day of his death that s and you are the only person who can do this by sanjay and becomes the most beautiful man ever and becomes the first person in your class and the life that s for any of the other things you have a lot of the time to do this is not a sin of God or no company in this way to the holy grail and you will not starting with a job that s you to village in a day of the day that s the meeting of your family in a day and a day 5th birthday party for any other day and day to night and a day and day for a couple to get the chance of being the first person to village and to village and to be in a 666inches and a half hour trip from London and a day of his time of life in London we will have to see how the tempe and becomes a new place in a few years and becomes the most popular place in EuropeA bicycle tire has a radius of 10 inches. To the nearest inch, how far does the tire travel when it makes 4 revolutions?
Answer: 251.2 inches.
Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.
HELP PLEASE I WILL GIVE BRAINLY TO CORRECT ANSWER PLS.
2 The graphs of y = 3x + 7x – 4 and y + 2x = 10 intersect at the points A and B.
Find the coordinates of A and B.
You must show all your working and give your answers correct to two decimal places.
Answer:
Check the text of the exercise, there is something wrong
Step-by-step explanation:
y=10x-4
y=-2x+10
These are two stright lines, they meet in one point only, P(7/6, 23/3)
How would I do this?
Answer:
you can do it
Step-by-step explanation:
by using your brain
There are 30 students in Mr. Shawn’s class and 60% of the students are above 12 years old. How many students are above 12 years old?
Answer:
the answer is a 18 as 60 percent of 30 is 18
hope it helps
Mrs. Laser is building a new space for her chickens. She has 80 feet of fencing. What is the greatest fencing area she could create using fencing?
Answer:
400 ft^2
Step-by-step explanation:
It can be shown that a square area is the most efficient way in which to use fencing. If the area is not square, the area will inevitably be smaller.
Calculus is the tool most often used in higher math to solve optimization problems.
But the same goal can be achieved in this problem by working with constraints:
If x and y are the length and width respectively, then
2x + 2y = 80 ft, or x + y = 40, or x = 40 - y. This is one constraint.
The other constraint involves the area: A = x*y, or A = (40 - y)*y. To maximize this, we need to rewrite (40 - y)*y in standard form:
A = 40y - y^2, or, finally, A = -y^2 + 40 y. The coefficients of this quadratic are -1, 40 and 0; the axis of symmetry is thus
x = -b/ [2a], or, in this case, x = -40/[2*(-1)], or x = 20.
Thus, If x = 20, y = 20 also, proving that the shape of the enclosed yard is that of a square.
Then Mrs. L' 80 feet of fencing is sufficient to construct a 20 ft by 20 ft space, which comes out to a maximum area of 400 ft^2.
40 -
$12.80 nearest cent
Answer:
13
Step-by-step explanation:
it just 13$ so yeah your welcome
Answer:
12.8
Step-by-step explanation:
Look at the zero in the end (hundreths place). Since it is zero keep everything the same!
If it is higher than 5, round up
If it is 5 or below round down.
0 is special because you can just keep everything the same.
Hope this helps!
A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers.
Answer:
Our two numbers are:
[tex]2+4\sqrt{2} \text{ and } 4\sqrt{2}-2[/tex]
Or, approximately 7.66 and 3.66.
Step-by-step explanation:
Let the two numbers be a and b.
One positive real number is four less than another. So, we can write that:
[tex]b=a-4[/tex]
The sum of the squares of the two numbers is 72. Therefore:
[tex]a^2+b^2=72[/tex]
Substitute:
[tex]a^2+(a-4)^2=72[/tex]
Solve for a. Expand:
[tex]a^2+(a^2-8a+16)=72[/tex]
Simplify:
[tex]2a^2-8a+16=72[/tex]
Divide both sides by two:
[tex]a^2-4a+8=36[/tex]
Subtract 36 from both sides:
[tex]a^2-4a-28=0[/tex]
The equation isn't factorable. So, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -4, and c = -28. Substitute:
[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-28)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{4\pm\sqrt{128}}{2}=\frac{4\pm8\sqrt{2}}{2}=2\pm4\sqrt{2}[/tex]
So, our two solutions are:
[tex]\displaystyle x_1=2+4\sqrt{2}\approx 7.66\text{ or } x_2=2-4\sqrt{2}\approx-3.66[/tex]
Since the two numbers are positive, we can ignore the second solution.
So, our first number is:
[tex]a=2+4\sqrt{2}[/tex]
And since the second number is four less, our second number is:
[tex]b=(2+4\sqrt{2})-4=4\sqrt{2}-2\approx 3.66[/tex]
Answer:
[tex]2+4\sqrt{2}\text{ and }4\sqrt{2}-2[/tex]
Step-by-step explanation:
Let the large number be [tex]x[/tex]. We can represent the smaller number with [tex]x-4[/tex]. Since their squares add up to 72, we have the following equation:
[tex]x^2+(x-4)^2=72[/tex]
Expand [tex](x-4)^2[/tex] using the property [tex](a-b)^2=a^2-2ab+b^2[/tex]:
[tex]x^2+x^2-2(4)(x)+16=72[/tex]
Combine like terms:
[tex]2x^2-8x+16=72[/tex]
Subtract 72 from both sides:
[tex]2x^2-8x-56=0[/tex]
Use the quadratic formula to find solutions for [tex]x[/tex]:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] for [tex]ax^2+bx+c[/tex]
In [tex]2x^2-8x-56[/tex], assign:
[tex]a\implies 2[/tex] [tex]b \implies -8[/tex] [tex]c\implies -56[/tex]Solving, we get:
[tex]x=\frac{-(-8)\pm \sqrt{(-8)^2-4(2)(-56)}}{2(2)},\\x=\frac{8\pm 16\sqrt{2}}{4},\\\begin{cases}x=\frac{8+16\sqrt{2}}{4}, x=\boxed{2+4\sqrt{2}} \\x=\frac{8-16\sqrt{2}}{4}, x=\boxed{2-4\sqrt{2}}\end{cases}[/tex]
Since the question stipulates that [tex]x[/tex] is positive, we have [tex]x=\boxed{2+4\sqrt{2}}[/tex]. Therefore, the two numbers are [tex]2+4\sqrt{2}[/tex] and [tex]4\sqrt{2}-2[/tex].
Verify:
[tex](2+4\sqrt{2})^2+(4\sqrt{2}-2)^2=72\:\checkmark[/tex]
Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?
Please I need it fast
Answer:
12y
Step-by-step explanation:
pls help if I get this right you get brainlist if not you will get a 1 star
Answer:
(15+6)÷3
hope it helps!!
Please helpppp
Graph the system of inequalities {y>2x+1/ y>|x|. Which two quadrants does the solution lie in?
Answer:
Option (1)
Step-by-step explanation:
We have to graph the system of inequalities given.
y > 2x + 1 -----(1)
y > |x| --------(2)
For inequality (1),
Solution area will be the area above the dotted line y = 2x + 1
Similarly, solution area of the second inequality will be the area above the dotted lines of y = |x|
Solution area of the system of inequalities will be the common area of both the graphs of the given system.
That will lie in quadrants 1 and 2.
Option (1) will be the answer.
Please help I really need ur help please
Answer:
y = 3x - 30
Step-by-step explanation:
First, put both equations into slope-intercept form.
x + 3y - 4 = 0
3y = -x + 4
y = (-1/3)x + (4/3)
2x + 5y - 20 = 0
5y = -2x + 20
y = (-2/5)x + 4
For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.
The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.
To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.
0 = (-2/5)x + 4
x = 10
The equation of the line right now is y = 3x + b
Plug in (10, 0) to find the y-intercept.
0 = 3(10) + b
b = -30
The equation of the line is y = 3x - 30
The Jenkins family's monthly budget is
shown in the circle graph. The family has a
monthly income of $4,800. How much
money do they spend on transportation
each month?
Emergency fund
5%
Transportation
5%
Housing
30%
Medical
22%
Food
15%
Clothing
6%
Entertainment
7%
Savings
10%
Answer:
$240
Step-by-step explanation:
They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.
An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.
**This content involves using percentages which you may wish to revise.
Which of the following is the solution set for -3t + 11 > 20?
t < 3
t > 3
t < -3
t > -3
Answer:
t < -3
Step-by-step explanation:
-3t + 11 > 20
subtract 11 from both sides
-3t > 9
Divide both sides by -3
when multipying or dividing by a negative the inequality must be reversed
t < -3
1. Brad invested $2,300 in a corporate bond
that pays 14% interest compounded
continuously. How long will it take
Brad's investment to triple?
Given:
Principal value = $2300
Rate of interest = 14% compounded continuously.
To find:
The time taken by Brad's investment to triple.
Solution:
The formula for amount after the compound interest (Continuously) is:
[tex]A=Pe^{rt}[/tex]
Where, P is the principal, r is the rate of interest in decimal and t is the time period.
Triple of Brad's investment is
[tex]3\times \$ 2300=\$ 6900[/tex]
Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get
[tex]6900=2300e^{0.14t}[/tex]
[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
Taking natural log on both sides, we get
[tex]\ln 3=\ln e^{0.14t}[/tex]
[tex]1.0986=0.14t[/tex] [tex][\because \ln e^x=x][/tex]
[tex]\dfrac{1.0986}{0.14}=t[/tex]
[tex]7.84714=t[/tex]
After approximating the value, we get
[tex]t\approx 7.85[/tex]
Therefore, Brad's investment will take 7.85 years to triple.
2 more than the sum of y and x as an algebraic expression
Answer:
(x+y)+2
hope this helps
a shop sells three types of boots (football, rugby and hiking) sales are usually in the ratio 6:2:3
last month 24 pairs of football boots were sold
how many boots altogether were sold last month
Answer:
44
Step-by-step explanation:
divide 24 by 6 then multiply it by all the number then add it all
please make me brainliest
(1.8 + 1.3) + 0.7 = 1.8 + (1.3 + 0.7) is an example of which property?
Answer:
Associative property
Step-by-step explanation:
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Hope this helps
|x - 3|<5
Pls solve this you need to rewrite it without modulus sign and explain as well
Answer:
-2< x< 8
Step-by-step explanation:
|x-3|<5 <=> -5<x-3<5 <=> -2<x<8
..
Answer:
-2x<8
Step-by-step explanation:
|x-3|<5<=> -5<x-3<5 <=>-2<x<8
.....
Help me with this one plz
Answer:
-1 is the only number there that is an integer as all the rest of them are mixed fractions.
Answer:
- 1
Step-by-step explanation:
Need help -2<2×-3<1
Answer:
[tex]-2 < 2x - 3 < 1 \ = \ \frac{1}{2} < x < 2[/tex]
Step-by-step explanation:
[tex]-2 < 2x - 3 < 1\\\\-2 + 3 < 2x - 3 + 3 < 1 + 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ adding \ by\ 3 \ ]\\\\1 < 2x + 0 < 4\\\\1 < 2x < 4\\\\\frac{1}{2} < \frac{2x}{2} < \frac{4}{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ divide \ by \ 2 \ ]\\\\\frac{1}{2} < x < 2[/tex]
Answer:
1/2 < x < 2
Step-by-step explanation:
-2<2x-3<1
Add 3 to all sides
-2+3<2x-3+3<1+3
1<2x<4
Divide all sides by 2
1/2 < 2x/2 <4/2
1/2 < x < 2
what is the slandered form of equation y = -3/2 x + 5
Answer:
Ax+By=C
Step-by-step explanation:
basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).
What is the solution to the system of equations?
Support your answer and justify your reasoning.
Answer in complete sentences.
Answer:
The solution to the system is (-2,6)
Step-by-step explanation:
I said the solution to the system is (-2,6) because that is where both lines cross, meaning that's the solution.
Hope this is hepful.
if shreeja wants to level her garden of length (2z+5) metre and breadth (2Z-3) metre, then the area of garden is ___________
Answer:
4z²+4z-15 Square Metre
Step-by-step explanation:
According To The Question,
Given, Shreeja wants to level her garden of length (2z+5) metre and breadth (2z-3) metre.Area Of Garden = Length × Breadth
Area Of Garden = (2z+5) × (2z-3)
Area Of Garden = 4z²-6z+10z-15
Area Of Garden=4z²+4z-15 Square Metre
The temperature rose by 15°C from morning till noon. If the temperature
was less than 50°C at noon, write and solve an inequality to show the
possible temperature in the morning (use t to represent the temperature
in the morning)
Please help meeee
Step-by-step explanation:
answer is in photo above
70 - 17 and a half %
Answer:
69.825
Step-by-step explanation:
How many 3 3/4 foot pieces ribbon can be cut from a pieces of ribbon that is 36 feet long.
Answer:
[tex]9\frac{3}{5}[/tex]
Step-by-step explanation:
3 3/4 = 15/4
[tex]\frac{36}{1}[/tex] ÷ [tex]\frac{15}{4}=[/tex]
[tex]\frac{36}{1} *\frac{4}{15}=[/tex]
[tex]\frac{12}{1} *\frac{4}{5}=[/tex]
[tex]=\frac{48}{5}[/tex]
[tex]=9\frac{3}{5}[/tex]
Hope this helps
Suppose an airline announces that its earnings this year are lower than expected due to reduced ticket sales. The airline spokesperson gives no information on how the company plans to turn
21
things around, he only mentioned that the current demand curve is given by − − 4 = 0
3
and the supply curve is given by 2 + 8 − 43 = 22
Find the equilibrium points of the airlin
Answer:
[tex](q,p)=(1.948,4.156)[/tex]
Step-by-step explanation:
Given
[tex]p^2 - \frac{1}{3}q-4p=0[/tex] --- demand curve
[tex]2q + 8p -4p^3=2p^2[/tex] ------ supply curve
Required
The equilibrium point
To do this, we make use of the graphical method (see attachment for the demand and supply curve)
The points of intersection of both curves on the attached plot are:
[tex](q_1,p_1)=(1.948,4.156)[/tex]
[tex](q_2,p_2)=(0,0)[/tex]
[tex](q_3,p_3)=(-0.8766,0.0744)[/tex]
[tex](q_3,p_3)=(0.3802,-0.0314)[/tex]
Of the 4 points, only the points where [tex]p,q>0[/tex] can be selected as equilibrium points
The only point that satisfies this condition is:
[tex](q_1,p_1)=(1.948,4.156)[/tex]
Hence, the equilibrium points of the airline is: [tex](q,p)=(1.948,4.156)[/tex]
A 68 year old retiree has a pension savings of $40,000, a 401k of $63,000, and an IRA account of $59,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and 1% more in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the current total pension amount, 2% from the 401k, and 6% from the IRA. What amount will the retiree have in his IRA account if he takes that money out now? Do not include $ in answer. Example, if answer is $7, put 7.
Answer:
54,280
Step-by-step explanation:
In Pic