Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -78in the figure given alongside find angle ACD angle ADC and angle DAE
Can you help me with this?
Which of the following is a quadratic function?
A quadratic function is written as ax^2 + bx + c
Where the first term is raised to the 2nd power and the second term includes the x variable.
The answer would be number 2
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
Which of the binomials below is a factor of this trinomial?
+ 12x+32
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4
PLEASE HELP!!
Mr. Stokes bought 6 1/2 pounds of meat for a party. He used 2 1/4 pounds of meat to make tacos. The rest he used to make 1/4 pound burgers. How many burgers did Mr. Stokes make?
9514 1404 393
Answer:
17
Step-by-step explanation:
The remaining amount of meat is ...
6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds
The number of 1/4 pound burgers that can be made with that amount of meat is ...
(17/4)/(1/4) = 17/1 = 17
Mr. Stokes made 17 burgers.
A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
A person rents a moving truck for the day. There is an initial rental fee of $20 and an additional $0.25 every mile driven. Write the equation representing cost, C(m) as a function of the number of miles traveled, m.
C(m)=
Answer:
Step-by-step explanation:
cost is 20 fee + .25 per mile.
c =20+0.25m
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account.
To start, Deena had a positive balance.
In this situation, 0 represents an empty bank account.
After paying for groceries, Deena had a negative balance.
After paying her cell phone bill, Deena had –$12 in the account.
The smallest balance in the account was $19.
Step-by-step explanation:
Step one:
given data
amount deposited=$48
after the purchase of groceries
account balance= $19
cell phone bill, which= $31
Step two:
The account balance after paying for groceries will be
=19-31= $-12
she will have a deficit of $12, hence a negative account balance
To start, Deena had a positive balance. -------True
In this situation, 0 represents an empty bank account. -----True
After paying for groceries, Deena had a negative balance. ---True
After paying her cell phone bill, Deena had –$12 in the account. ...True
The smallest balance in the account was $19. ....True
Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
The temperature falls from 3 degrees Celsius to -4 degrees celcius what is the the difference in these temperatures
20 points
Answer:
7
Step-by-step explanation:
3 - -4=7
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, and after 9 weeks, he had $400. What is the rate of
change of money in his savings account per week?
Person to answer get prize
Pls help
Answer:
$12.5
Step-by-step explanation:
all you do is divide the 4 weeks to the $50 he earns and get $12.5 every week.
Select three ratios that are equivalent to 11:1
Choose 3 answers:
A
1:11
(Choice B)
B
22:2
(Choice C
C
55:5
(Choice D)
D
9:99
(Choice E)
E
110:10
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
Find the slope of the line that passes through the points, A(0,2) and B(4, -1).
Answer:
Slope=M=y2-y1/X2-X1=
-1 -2 /4-0=
-3/4 =
-0.75
Step-by-step explanation:
Hope this helped!!!!
Answer:
y=(-3/4)+2
Step-by-step explanation:
Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula
Firstly, lets solve for the slope by finding the change in y over the change in x:
slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]
We will plug in the values of the points given and find that:
slope (m)= [tex]\frac{-1-2}{4-0}[/tex]
this equals (-3/4)
from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).
Point-slope equation:
[tex]y-y1=m(x-x1)[/tex]
Plugging in values:
[tex]y-2=(\frac{-3}{4})(x-0)[/tex]
after isolating y we find that the equation is:
[tex]y=\frac{-3}{4} x+2[/tex]
Hope this helps!
-HM
how come nothing feels real anymore? i've searched and i can't find why. all of my feelings and surroundings seem fake. i've felt like this for over a week straight so far, and this feeling has happened before but it's only lasted like a day or less. i can't get rid of the feeling, and i just wanna escape it. i feel like i'm not in "my" body. like my hands aren't my own, and i dont have complete control over them. when i look in the mirror, it's like it's not actually me looking back. no matter how many people are around me, it feels like they're all fake and aren't actually there. like this isn't the world i'm actually in. it's driving me insane and i just have the constant feeling that i want to cry and escape this. i can't tell my parents this, because they'll just say i'm being dramatic or just don't want to do my work or something like that. just please help me understand what's going on, or if there's anything i need to do. please. (i put this up for 50 points)
Answer:
I also have felt like this recently. Try talking to someone about it. :)
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
Rewrite x^2+16x-36 in factored form
solve 3(x-4) = 12x. circle your final solution
Answer:
9x-12
Step-by-step explanation:
3*x = 3x
3*-4= -12
3x - 12 = 12x
12x-3x = 9x
9x-12
Answer: x = -4/3
Step-by-step explanation:
3(x−4)=12x
Step 1: Simplify both sides of the equation.
3(x−4)=12x
(3)(x)+(3)(−4)=12x (Distribute)
3x+−12=12x
3x−12=12x
Step 2: Subtract 12x from both sides.
3x−12−12x=12x−12x
−9x−12=0
Step 3: Add 12 to both sides.
−9x−12+12=0+12
−9x=12
Step 4: Divide both sides by -9.
-9x/-9 = 12/-9
x = -4/3
help!!! please & explain if can:(
Answer:
x = 15
Step-by-step explanation:
AEB is a right angle, a right angle is 90 degrees
this means 5x+15 needs to equal 90
plug in 15 for x
5 x 15 + 15 = 90
89 x 89, whats the answer?
Answer:
7921 is the correct answer
Answer:
7,291
Step-by-step explanation:
Just multiply. 89 x 89
2x-Y (5y X -6) 3^6y what is that as an expression
Answer:
The answer is:
2x + 30y^2 × 729^y
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)
George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? Show your work
Answer:
The elevation of the rest stop is 37.5 feet above sea level.
Step-by-step explanation:
Given that the elevation at the top of the hill is 127 feet above sea level and The valley floor is 52 feet below sea level.
So, the total length from the top of the hill to the valley floor
[tex]l= 127+52 = 179[/tex] feet
So, length of halfway [tex]= l/2=179/2=89.5[/tex] feet ...(i)
Assuming that the stop for rest, the halfway between the top of the hill and the valley floor, is at x feet above sea level.
So, the length between the stop position and the valley floor [tex]= 52 +x[/tex] feet.
As the stop position is at half-way, so by using equation (i), we have,
[tex]52 + x = 89.5 \\\\\Rightarrow x =89.5-52 \\\\[/tex]
[tex]\Rightarrow x=37.5[/tex] feet
Hence, the elevation of the rest stop is 37.5 feet above sea level.
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
Answer:
According to me all the options are correct