Answer:
x=-1 and x=9
Step-by-step explanation:
[tex]3(x-4)^{2} =75[/tex]
[tex](x-4)^{2} =\frac{75}{3}[/tex]
[tex](x-4)^{2}[/tex]=[tex]25[/tex]
[tex](x-4)(x-4)[/tex]=[tex]25[/tex]
[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16-25=0[/tex]
[tex]x^{2} -8x-9=0[/tex]
[tex](x-9)(x+1)=0[/tex]
[tex]x-9=0\\x=0+9\\x=9[/tex] [tex]x+1=0\\x=0-1\\x=-1[/tex]
therefore x=9 and x=-1
Answer:
the answer is d x = −1 and x = 9
Step-by-step explanation:
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386
FOOD $804
CHILD CARE $1,709
Transportation $1,235
HEALTH CARE $908
OTHER NECESSITIES $884
TAXES $1,483
Monthly Total $8,409
Annual Total $100,909
Answer:
these teachers b expectin u to do this bs
Step-by-step explanation:
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
What is the equation of the line that passes through the point (5,-7) and has a
slope of zero?
Answer:
y=-7
Step-by-step explanation:
With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.
Answer:
Answer
5.0/5
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Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
Step-by-step explanation:
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t
Answer:
B
Step-by-step explanation:
Have a good day!
Select all that apply
Which of the following name a line in the drawing ?
Answer:
I think FC but not sure
Step-by-step explanation:
the respn os that we looc at both sides f the line and see what the letters are
Answer:
DB
Step-by-step explanation:
just did it got it correct
in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted
Answer: 21
Step-by-step explanation:
Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.
Since, 108 = 2 x 2 x 3 x 3 x 3
84 = 2 x 2 x 3 x 7
60 = 2 x 2 x 3 x 5
HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]
= 12
Greatest number of plants in each row = 12
Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]
Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]
Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]
Total rows = 9+7+5= 21
Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted = 21
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$36
Step-by-step explanation:
Tristan paid $50 for the tickets of the school play and was given $23 as change. The amount Tristan paid for the ticket is given as:
Price for ticket = amount paid - change = $50 - $23 = $27
Price for ticket = $27
Given that the ticket was sold at 25% off. Let x be the original price of the ticket, therefore:
x - 25% of x = $27
x - 0.25x = 27
0.75x = 27
x = 27/ 0.75
x = 36
Therefore the original price of the ticket is $36
Answer:
27.00
Step-by-step explanation:
3(4x - 2) > 7x + 19
Answer:
12x-6>7x=19
Step-by-step explanation:
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?
Checking Account Summary
Ending Balance
$ 72571
Deposits
+ $610.00
Checks Outstanding - $ 471.19
Revised Statement Balance
Check Register Balance $ 864.52
Answer:
Revised statement balance=$ 864.52
Yes Rona's is account reconcile
Step-by-step explanation:
Calculation to Find Rona's revised statement balance
Using this formula
Revised statement balance=Ending balance+Deposits-Checks Outstanding
Let plug in the formula
Revised statement balance=$ 725.71+$610.00-$ 471.19
Revised statement balance=$ 864.52
Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
What is the equation of the line?
Answer:
y = 2/3x + 4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
What is 6+6+2
need to actually ask something to give away points or the bots will report lol
Answer:
14
Step-by-step explanation:
because 6+6 is 12 and add 2 is 14
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
Which cube is formed by folding the pattern?
Answer:
b
Step-by-step explanation:
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show
Answer:
3.125 pounds
Step-by-step explanation:
Digital scale would show weights in decimal form
3 1/8 = 3.125 pounds
2(4+c)=67 help solve for c
Answer:
c = 29.5 or
c = 59/2
Step-by-step explanation:
2 (4 + c) = 67
8 + 2c = 67
8 - 8 + 2c = 67 - 8
2c = 59
c = 29.5
I need help please 20 points
Answer:
5^9
Step-by-step explanation:
subtract them. base (5) stays the same
Please help ASAP!!!!
Solve for the indicated variable.
A = LW, solve for W
which of the following explains why soft drinks are such an unhealthy choice?
A. one soft drink contains about 25% of daily caloric intake
B. one soft drink contains nearly an entire daily allowance for sugar
C. the carbonation contains unnatural additives that contribute to obesity
D. the carbonation is a preservatives that also adds sugar
Answer:
A or B
Step-by-step explanation:
are irrational numbers intergers
Answer:
No they are not intergers
Step-by-step explanation:
Hope this helps
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.