1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
Swim Lesson Packages
Number of Total Cost
Lessons
1
$10
5
$40
10
$80
15
$80
Which package is the best deal?
0 1 lesson for $10
O 5 lessons for $40
ОООО
10 lessons for $80
O 15 lessons for $80
Answer:
15 lessons for $ 80
Step-by-step explanation:
In case 1
Cost of 1 lesson = $10
In case 2
Cost of 1 lesson = 40/5 = $8
In case 3
Cost of 1 lesson = 80/10 = $8
In case 4
Cost of 1 lesson = 80/15 = $ 5.33
Hence,
The best deal is case 4 i.e 15 lessons for $ 80
(3x+14)= (7x+4)
Find X
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=5/2
Decimal Form:
x=2.5
Mixed Number Form:
x=2 1/2
Step-by-step explanation:
Write the expression in standard form,
(9+2i)(5-3i)
[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: 51 - 17i[/tex]
refer to the attachment for explanationhope it helpsWhat is 1.231 rounded to the nearest hundredth?
1.23 would be your answer.
Have a great day! :)
simplest form of 45/120
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 45 and 120 is 15
Divide both the numerator and denominator by the GCD
45 ÷ 15
120 ÷ 15
Reduced fraction:
3
8
Therefore, 45/120 simplified to lowest terms is 3/8.
Rational exponents of 2161/3?
(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.
The sum of the money that was between the three friends is $8100.
Let x represent the amount of money given to the three friends to share.
Keisha, Tracey, and Kerry-Ann shared the money in the ratio 7:9:11 respectively.
Since Kerry-Ann received $3300, hence:
(11/27) * x = 3300
11x/27 = 3300
x = $8100
The sum of the money that was between the three friends is $8100.
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write clearly please
Answer: this is 4
Step-by-step explanation: A+b=2+2=4
A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.
Answer:
by how i was taught its 2
Step-by-step explanation:
Please answer I need step by step explanation
Answer:
10 cm
Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle
Long explanation/step by step:
It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.
This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.
I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)
now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.
−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8
Step-by-step explanation:
several possibilities to solve this.
let's start with subtracting the second equation from the first
-x + 2y - z = 0
- -x - y +2z = 0
-------------------------
0 3y - 3z = 0
y - z = 0
y = z
now we use this in e.g. the first equation :
-x + 2z - z = 0
-x + z = 0
z = x (therefore, also x = y)
now we use this in the third equation :
2x - x = 8
x = 8 = y = z
In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.
Answer:
Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x) is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).
Answer:
Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x) is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).
Step-by-step explanation:
we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at least 70 feet of lights
PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer: (a) identity
Step-by-step explanation:
Anything multiplied by 1 will be considered an equation that is identity property.
What is -6(-3+5r)=-5-7r
Answer:
r = 1
Step-by-step explanation:
Use the distributive property to multiply −6 by −3+5r.
18−30r=−5−7r
Add 7r to both sides.
18−30r+7r=−5
Add −30r and 7r to get −23r.
18−23r=−5
Subtract 18 from both sides.
−23r=−5−18
Subtract 18 from −5 to get −23.
−23r=−23
Divide both sides by −23.
r=−23/−23
Divide −23 by −23 to get 1.
r=1
6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?
The time it would take to paint one figurine is 0.125 hour.
The time it would take to paint 8 figurine is 1.5 hours.
The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.
Average rate = 8 /1 = 8 figurines / hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
1 / 8 = 0.125 hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
12 / 8 = 1.5 hours
A similar question was answered here: https://brainly.com/question/11967364
Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?
Answer:
no .,..false
Step-by-step explanation:
How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?
Answer:
14 Pounds
Step-by-step explanation:
35 / 12 = 2.9167
being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.
I want to know how to find the area of polygon.
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
{NOBITA}
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Find the apothem of the polygon. If you're using the apothem method, then the apothem will be provided for you. Let's say you're working with a hexagon that has an apothem with a length of 10√3.
Step-by-step explanation:
but for a rectangle the area formula is
width*height
for a trapezoid area formula is 1/2(base1+base2)*height
for a hexagon area formula is
area = (3/2) · sqrt(3) · s2
5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2
Answer:
(1) x+6
Step-by-step explanation:
Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12
Check each answer choice with synthetic division:
1 | 1 9 16 -12
__1_10_26
1 10 26 | 14
-2 | 1 9 16 -12
__-2_-14_-4
1 7 2 | -16
-6 | 1 9 16 -12
__-6_-18_12
1 3 -2 | 0
Therefore, x+6 is a factor of the polynomial
Answer:
(1) x+6
Step-by-step explanation:
Solve each absolute value equation
1. [n - 3]= 5
Answer:
n=8
n=-2
Step-by-step explanation:
or,n-3=5
or,n=5+3
or,n=8
Now consider,
or,n-3=-5
or,n=3-5
or,n=-2
Add. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
pls help due tonight
Answer:
-32
Step-by-step explanation:
-32x + 4y = 12
4y = 12 + 32x
/4 /4 /4
y = 3 + 8x
At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320
Answer:
B. 1,440
Step-by-step explanation:
Answer:
Step-by-step explanation:
think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :) )
Find the quotient. 9,270,000 100
Answer: 92,700
Step-by-step explanation:
9,270,000 / 100 = 92,700
6. Kendrick bought 4 bags of bagels. Every bag had a dozen bagels. How many bagels did Kendrick buy?
Answer:
Kendrick bought 48 bagels.
Step-by-step explanation:
For this question, you would simply have to multiply 4 by 12.
Dozen means 12.
4x12=48
48 bagels.
What is the slope of y = 4 – 2x
?
Answer:
m = -2
Step-by-step explanation:
Use the slope intercept formula y = mx + b
You would switch the order to get y = -2x + 4 to get it in the correct format.
You can then see that -2 is the slope based off the slope intercept formula
(b = y intercept)
(m = slope)
What is the Area of this triangle? WILL MARK BRAINLIEST
Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
4.59318
Step-by-step explanation:
I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.
Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)
Answer:
y=-2/5x+21/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(3-(-2))
m=-2/(3+2)
m=-2/5
y-y1=m(x-x1)
y-5=-2/5(x-(-2))
y-5=-2/5(x+2)
y=-2/5x-4/5+5
y=-2/5x-4/5+25/5
y=-2/5x+21/5
