Let f(x) and g(x) achieve their maximum value at x
1
and x
2
respectively.
h(x)=f(x)−g(x)
h(x
1
)=f(x
1
)−g(x
1
)≥0
h(x
2
)=f(x
2
)−g(x
2
)≤0
⇒h(c)=0 where c∈[0,1] ⇒f(c)=g(c)
pls help need it plsssssssssss
Answer:
a. r² = 0.8555148135 so...
r = 0.9249... or 0.92
b. a correlation coefficient of 0.92 indicates a strong positive association between the two data sets
Under her cell phone plan, Avery pays a flat cost of $58.50 per month and $5 per gigabyte. She wants to keep her bill at $64.50 per month. Write and solve an equation which can be used to determine x, the number of gigabytes of data Avery can use while staying within her budget.
Answer:
x=1
Step-by-step explanation:
64.50=5x+58.50
64.50=5(1)+58.50
64.50=63.50 CORRECT
It can't be 2 because it will be over 64.50
5(2)+58.50
10+58.50
68.50 WRONG
Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.
The equation to determine the number of gigabytes of data Avery can use while staying within her budget can be written as:
$58.50 + $5x = $64.50
Where:
$58.50 represents the flat cost per month
$5x represents the cost based on the number of gigabytes used (x gigabytes)
$64.50 is the total budget she wants to stay within
To solve for x, we can subtract $58.50 from both sides of the equation:
$5x = $6.00
Then, divide both sides by $5:
x = 1.2
So, Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.
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Ms. Franklin is making her class budget for supplies. She needs 62 packs of Expo markers. If each pack costs $12, what will her total be for Expo markers (before tax)?
Answer:
12x62=$744 for 62 packs of Expo markers
pls give ans for the image
Identify the y-intercept of the following linear equation written in standard form.
9x + 3y = -18
Answer:
wwwwwwwwwwwwwwwwwwww
Answer:
the y-intercept is (0, -6)
Step-by-step explanation:
x^2=5 using exponents
Answer:
±√5 are the solutions to x^2=5
Step-by-step explanation:
Write out x^2=5. Now enclose each of the two sides in parentheses. Apply the exponent (1/2) to both sides:
(x^2)^(1/2) = (5)^(1/2)
The left side simplifies to x and the right side to ±√5.
So ±√5 are the solutions to x^2=5.
BRAINLIEST x 3
It is kinda late and I need to finish my work
Please help me
If you answer this I will create two other posts to give you extra brainliests
Answer:
Hi I hope this helps! I included step by step for each problem!
Step-by-step explanation:
5) 9x + 2 =119
9x +2 - 2 = 119 - 2
9x= 117
9x/9 = 117/9
x=13
6) 12x - 8 + 104 = 180
12x + 96 = 180
12x + 96 -96 = 180 - 96
12x = 84
12x/12 = 84/12
x=7
7) 5x+7=8x-71
5x+7+71=8x-71+71
5x-5x+78=8x-5x
78=3x
78/3=3x/3
26=x
8) 4x-7=7x-61
4x-4x-7+61=7x-4x-61+61
54=3x
54/3=3x/3
18=x
9) 13x-19+17y+5 =180
13x-19=9x+25
13x-9x-19+19=9x-9x+25+19
4x=44
4x/4=44/4
x=11
13(11)-19+17y+5=180
143-19+17y+5=180
129+17y=180
129-129+17y=180-129
17y=51
17y/17=51/17
y=3
10) 8y+17=6x-7
3x-29+6x-7=180
9x-36=180
9x-36+36=180+36
9x=216
9x/9=216/9
x=24
8y+17= 6(24)-7
8y+17= 144-7
8y+17= 137
8y+17-17=137-17
8y=120
8y/8=120/8
y=15
11) 7x-23=3x+49
7x-3x-23+23=3x-3x+49+23
4x=72
4x/4=72/4
x=18
3x=11y-1
3(18)= 11y-1
54+1=11y-1+1
55=11y
55/11=11y/11
5=y
12) 5x-38=3x-4
5x-3x-38+38=3x-3x-4+38
2x=34
2x/2=34/2
x=17
7y-20+5x-38=180
7y-58+5(17)=180
7y-58+85=180
7y+27=180
7y+27-27=180-27
7y=153
7y/7=153/7
y=21.9
(not 100% confident on 12)
I need help with question 1
The answer is 845.31 rounded is 345.31
Given the diagram below 1 and 8 are examples of:
Answer:
option B is correct answer.
Step-by-step explanation:
Alternate exterior angles are <1 and <8.
hope this helps you.
HELP ASAP!! WILL MARK BRAINLIEST !!!
Write an equation for the area A of the figure. Then determine the maximum possible area of the figure.
Area: A=
Maximum area: ___ square units
Answer:
Step-by-step explanation:
The maximum area of the figure is 4.5 square units.
Given,
Write an equation for area A of the figure.
Then determine the maximum possible area of the figure.
What is the area of a right-angled triangle?It is given by:
Area = 1/2 x base x height
When we maximize an area we must differentiate the area.
If A is the area.
A' = 0
We have,
From the figure:
Base = 6 - b
Height = b
Now,
Area = 1/2 x base x height
Area = 1/2 x ( 6 - b ) x b
A = (6b - b²) / 2
A = 3b - b²/2
When we maximize an area we must differentiate the area and thus,
A' = 0
So,
A' = 3 - 2b/2
0 = 3 - b
b = 3
Now,
A = 3b - b²/2
A = 3 x 3 - 3²/2
A = 9 - 9/2
A = (18 - 9) / 2
A = 9/2
A = 4.5 square units.
Thus the maximum area of the figure is 4.5 square units.
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Pls help me I’ll mark u brainliest
Let:
let x be apples
let y be bananas
System of equations
3x + 4y = 6.50
10x + 5y = 17.50
I really need help its pre calc pls help me!!
: [tex]s = - \frac{2}{5} [/tex]
: since | r | > 1 the series has no sum
#CARRYONLEARNING
Which set of ordered pairs models a function?
A. {(-8,0), (-8, 1), (-6,4), (-5,-2), (-3, 6)}
B. {(3,-8), (3, -7), (3,-6), (3,-5), (3, -3)}
C. {(-8, 8), (-7,8), (-6, 8), (-5, 8), (-36)}
D. {(-8, 0), (-7, 1), (-5, -3), (-5,3), (0, 8)}
Answer:
C. Each first element, domain, is associated with exactly one element, range
Step-by-step explanation:
If you know that A neq 0 and B neq 0, how can you write an equation in point-slope form of the equation Ax + By = C?
The equation of the line in point slope form when y and x neq 0 is:
Answer:
no
Step-by-step explanation:
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck
driver. The sum of the annual salaries of the warehouse manager and office manager is $75000. The sum of the
annual salary of the office manager and the truck driver is $75000. The annual salaries of the warehouse
manager and the truck driver total $70000. What is the annual salary of each of the co-workers?
Answer:
Let's make each of these workers' salaries a variable. For our purposes:
x = the annual salary of the warehouse manager
y = the annual salary of the office manager
z = the annual salary of the truck driver
*Since all of our variables describe an "annual salary" in dollars, we do not have to perform unit conversions.
From the sentence, "The sum of the annual salaries of the warehouse manager and office manager is $75000," we can derive the equation:
warehouse manager + office manager = 75000
x + y = 75000
From this sentence, "The sum of the annual salary of the office manager and the truck driver is $75000," we get:
office manager + truck driver = 75000
y + z = 75000
Finally, since "The annual salaries of the warehouse manager and the truck driver total $70000," we know that:
warehouse manager + truck driver = 70000
x + z = 70000
From the above equations, we can create a system of equations to reach the solution.
x + y = 75000
y + z = 75000
x + z = 70000
Using the substitution method and basic algebra, this question is easy! Let's solve for x, the warehouse manager's salary, first:
x + z = 70000
z = 70000 - x
y + z = 75000
y + (70000 - x) = 75000
y + 70000 - x = 75000
y - x = 5000
y = 5000 + x
x + y = 75000
x + (5000 + x) = 75000
x + x + 5000 = 75000
2x + 5000 = 75000
2x = 70000
x = $35000 = warehouse manager's annual salary
Now that we have solved for one of the variables, we can substitute our answer back in to get a quicker result:
x + z = 70000
(35000) + z = 70000
z = 35000$ = truck driver's annual salary
y + z = 75000
y + (35000) = 75000
y = $40000 = office manager's salary
So, our answers would be that:
The warehouse manager's annual salary is $35000.
The office manager's annual salary is $40000.
The truck driver's annual salary is $35000.
Peter is married, filing jointly, with an AGI of $50,265. He is claiming two exemptions of $16,400 and deduction of $3264.
What is his tax due?
Answer:
$3864
Step-by-step explanation:
You are saving money for a new bicycle, which costs $85.99. So far you have saved $47.52. How much more money do you need before you can purchase the new bicycle
Answer:
$38.47
Step-by-step explanation:
You have to subtract $85.99 and $47.52. The answer is $38.47..
I hope this helps!!
A woman earns $2600 per month and budgets $442 per month for food. What percent of her monthly income is spent on food?
...
% of her monthly income is spent on food.
Answer:
17%
Step-by-step explanation:
442/2600
= 0.17
To change a decimal to a percent, you move the decimal point two places to the right --> 17%
= 17%
DONT CLICK ON THIS IF YOU DONT KNOW THE RIGHT ANSWER.
State what additional information is required in order to know that the triangles are congruent for the reason given.
Answer:
The last sides on both triangles must have the three lines shown in the picture, because that shows that those sides are congruent. SSS stands for side side side, and the I and II shows that those sides are congruent.
Step-by-step explanation:
What is the solution to the equation 5 x + 2 x = 24 − 4 ( x − 5 ) ?
Sukriti sold two bicycles at Rs.3750 each. She gained 25% in first
bicycle and lost 25% on another bicycle. How much does she loss
or gain in the total price?
Answer:
Rs. 500 lossStep-by-step explanation:
SP is 3750
First case, 25% gain with CP of x:
3750 = 1.25xx = 3750/1.25x = 3000Gain amount:
3750 - 3000 = 750Second case , 25% loss with CP of x:
3750 = 0.75xx = 3750/0.75x = 5000Loss amount:
5000 - 3750 = 1250Total loss is the difference between gain and loss:
1250 - 750 = 500Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has traveled 16 miles, and the eastbound boat has traveled 12 miles. How far apart are the two boats?
Answer:
Equation:
y = x+1
Distance Equation:
sqrt[x^2 + y^2] = 5
===========================
Substitue for "y" and solve for "x":
sqrt[x^2 + (x+1)^2] = 5
x^2 + x^2 + 2x + 1 = 25
2x^2 + 2x -24 = 0
x^2 + x - 12 = 0
Factor:
(x+4)(x-3) = 0
x = 3 miles (eastbound distance)
x+1 = 4 miles (southbound distance)
Step-by-step explanation:
Solve by substitution.
y=-x+2
3x-y=-6
I will give Brainliest to the first person
Please explain step by step.
Answer:
(- 1, 3 )
Step-by-step explanation:
y = - x + 2 → (1)
3x - y = - 6 → (2)
Substitute y = - x + 2 into (2)
3x - (- x + 2) = - 6 ← distribute parenthesis and simplify left side
3x + x - 2 = - 6
4x - 2 = - 6 ( add 2 to both sides )
4x = - 4 ( divide both sides by 4 )
x = - 1
Substitute x = - 1 into (1)
y = - (- 1) + 2 = 1 + 2 = 3
solution is (- 1, 3 )
What does 10,000 represent in this situation? *
20 points
Captionless Image
The amount of miles the car can travel.
The initial value of the car when it was new.
The initial amount of miles that was on the car.
The common ratio the value of the car is multiplied by to calculate the new cost the next year.
Answer:
The initial amount of miles that was on the car.
The initial value of the car when it was new.
Step-by-step explanation:
a plumber uses 200 ft of tubing to make 50 sections of the same size. At this rate, how many feet of tubing is needed to make 1 section?
Answer:
4 ft
Step-by-step explanation:
You need to divide that 200 ft among those 50 sections to get what amount of feet goes into each section.
On a hot day, Jeffrey poured 4 5/6 buckets of water into a plastic wading pool. A few minutes later he added another 1 5/6 buckets. How much water did Jeffrey pour into the pool?
The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 64 individuals from the US, what is the probability that the sample mean exceeds the W.H.O. minimum?
Answer:
W.H.O
Step-by-step explanation:
ask my shoe and your mama
Ski Lift A takes skiers 1,200 feet up the mountain in 2 minutes, Ski Lift B takes skiers 1,500 feet up the mountain in 3 minutes, and Ski Lift C takes skiers 1,800 feet up the mountain in 2 1⁄2 minutes. Which ski lift has the fastest rate?
Answer:
iek
Step-by-step explanation:3283349
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-
intercepts (if they exist).
y = -4x2 + 12x + 40
a. (2,0); (-5, 0)
C. (-2, 0); (5,0)
b. (-2,0
d. (2,0); (5,0)
What is the surface area of the figure below? 4 cm 5 cm 3 cm 3 cm 5cm 4 cm
Answer:
24 cm
Step-by-step explanation:
you add 3+3=6
next add 6+4=10
next add (5+5)+10=20
finally you add 20+4=24
