Answers
Answer:
a. A(x) = 3x² - 8x + 5
b. x = ⁸/₃
Step-by-step explanation:
a.
A(x) = shaded area
A(x) = (2x - 3)² - (x - 2)²
= 4x² - 12x + 9 - (x² - 4x + 4)
= 4x² - x² - 12x + 4x + 9 - 4
= 3x² - 8x + 5
b.
ΔABF area = ⁵/₄ cm²
A(x) = 4(⁵/₄)
= 5
Substitution:
3x² - 8x + 5 = A(x) = 5
3x² - 8x + 5 = 5
3x² - 8x = 0
x(3x - 8) = 0
3x - 8 = 0
x = ⁸/₃
x = 0
Since x > 2, x = 0 is not valid;
So, x = ⁸/₃
Related Questions
A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose
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What is the surface area of a cylinder if the radius is 2.5 inches and the height is 5 inches?
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Answer:
A≈117.81 square inches
Step-by-step explanation:
just plug it in formula.
Answer:
117.8 inches
Step-by-step explanation:
A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?
Answers
It will take 2 hours for the ambulance to pass the police car.
Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:
72 x 0.25 = 18 81 - 72 = 9 18/9 = 2 72 x 0.25 + 72 x 2 = 162 81 x 2 = 162
Therefore, it will take 2 hours for the ambulance to pass the police car.
Learn more about maths in https://brainly.com/question/25818763
What is social stratification?
A. Studying a person's ancestors to learn more about his or her
status
B. Ranking people based on factors such as gender, wealth, and
occupation
C. Expecting women to be responsible for nurturing families and
caring for homes
D. Displaying expensive material objects to demonstrate one's status
Answers
Answer:
The answer is B
Step-by-step explanation
It's a system ranking people in a hierarchy
Choose all the numbers that make the comparison true.
42 > __
A, 22
B, 64
C, 41
D,40
E, 40
Answers
Answer:
22, 40, 40, and 41
Step-by-step explanation:
happy to help have a nice day
A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting
Answers
Answer:
9 feet
Step-by-step explanation:
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answers
Answer:
hope this answer is right 71/45
A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.
Answers
Answer:
ok first we round them both
386230 is rounded to 386k
59250 is rounded to 59 k
386+59=445
445,000
Hope This Helps!!!
Três torneiras enchem uma piscina em 10 horas quantas horas levarão 10 torneiras para encher 2 piscinas
Answers
Answer:
Step-by-step explanation:
Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who received the better deal? Explain.
a. How much did Trey spend on a football?
b. How much did Evan spend on a football?
c.
Who got the better deal?
Answers
Answer:
a. $38.25, b.$40.5, c. Trey
Step-by-step explanation:
A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.
a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25
b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.
c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50
Which angle is this could u plz tell
Answers
Step-by-step explanation:
please, this is so easy !
so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.
so,
180 = 25 + 100 + A
A = 55°
ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°
so: ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°
ANSWER: ∠CAB = 55°
ok done. Thank to me :>
Find the area of the figure. hi
Answers
3 ft of a 3 inch crown molding costs you $8.75 at the lumber store. How much would it cost for 31 ft?
Answers
Answer:
9.10 * 8.75 = 79.62
Step-by-step explanation:
Sorry if its wrong... :(
A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected? A).30 B).33 C).40 D).60
Answers
Answer:
D:60
Step-by-step explanation:
PLEASE HELP!!
Solve by completing the square 2x^2+x-4=0
Answers
Answer:
image attached with answer
Step-by-step explanation:
Help me pleaseeeeeeeeeee
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Carry learning!
Stay safe!
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answers
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
Help help math math math
Answers
Answer:
Yes, this is a function
Step-by-step explanation:
You know this because it passes the vertical line test.
I hope this helps!
Answer:
Function
Step-by-step explanation:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
1. It cannot be a fraction or decimal because the depth of the well is a whole number.
2. It must be a positive number since it represents a number of hours.
3. It must be a negative number because the depth is below sea level.
4.It cannot be greater than –72 because that is the depth of the well.
Answers
Answer:
Step-by-step explanation:
Is this the entire question? Some of it makes no sense without a diagram or something.
To get rid of A you actually have to solve the equation.
7h – 5(3h – 8) = –72 Remove the brackets
7h - 15h + 40 = - 72 Combine the like terms
- 8h + 40 = - 72 Subtract 40 from both sides
- 8h = -112 Divide by -8
h = 14
Well the depth is a whole number so A is true.
We don't know anything about time. But the answer is positive.
C is false because B is true.
We don't know exactly what the depth of the well is.
I would pick A, but you need the entire question.
A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?
Answers
Answer:
y=2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2(x-6)
y=2x-12+4
y=2x-8
3x-9=2(x-14)
show me the steps to do this
Answers
3x-2x=9-28
x=-19
[tex]\\ \sf\longmapsto 3x-9=2(x-14)[/tex]
[tex]\\ \sf\longmapsto 3x-9=2x-28[/tex]
[tex]\\ \sf\longmapsto 3x-2x=-28+9[/tex]
[tex]\\ \sf\longmapsto x=-19[/tex]
Help help math math math math
Answers
Answer:
y=2/1+7
Step-by-step explanation:
A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answers
Answer:
[tex]y=-\frac{5}{4} x+2.[/tex]
Step-by-step explanation:
1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;
2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;
3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':
7= -5/4*(-4)+i; ⇒i=2, then
[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]
Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°
Answers
Answer:
96°
Step-by-step explanation:
We assume you intend ...
ΔLMN ~ ΔQRS
Then corresponding angles have the same measure:
∠M = ∠R = 26°
∠L = ∠Q = 58°
∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°
The measure of angle S is 96°.
x+18-3x=20 help me out
Answers
the bbc lenth is 19 which i like in my mouth an deven my throayt
There are 300 students in the 6th grade class. 252 of the students have received dragon
tickets. What is this as a percent?
Answers
The percentage of students in the 6th grade class that have received dragon tickets is 84%.
Given the following data:
Total number of students = 300 studentsNumber of students with dragon tickets = 252 studentsTo determine the percentage of students in the 6th grade class that have received dragon tickets:
A percentage is used to describe or represent a portion of a given population or total number of something.
Mathematically, the percentage for the given number of students is:
[tex]D = \frac{Students}{Total\;students} \times 100\\\\D = \frac{252}{300} \times 100\\\\D=0.84\times 100[/tex]
D = 84%
Read more on percentage here: https://brainly.com/question/14432715
y = 7x
-14x + 2y = 0
The answer is no solution but please help with showing the work I’m stuck with it.
Answers
Answer:
-14x+2(7x)=0
-14×+14×=0
0=0
x = 5 => 0 . 5 = 0, y= 7 . 5 =35.....
Ok done. Thank to me :>
Can someone help with this math problem?
Answers
Answer:
Hope it will help you a lot.
Can someone help me out? Will mark brainiest
Answers
eight and one six minus 7 and three forths
Answers
Answer:
5/12
Have a good day!