Answer:
Solve x2 + 12x = –20 by completing the square.Add to both sides of the equation. The value of in this equation is 36Write the left side of the equation as a binomial squared. The left side of the equation becomes (x+6)2.Use the square root property of equality.Isolate the variable: x = -10 and -2
Step-by-step explanation:
CE
Debra paid $12.16 for a 4.07-pound bag of shrimp at one store. The following week, she paid $14.99 for a 5.11 -pound bag at another store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Bound your answers to the nearest cent.
Answer:
the better buy is that from the second store as it is cheaper than that purchased from the first store
Step-by-step explanation:
Given that :
First store :
Amount paid = $12.16
Pounds of shrimps = 4.07
Unit price :
Amount paid / pounds of shrimps
$12.16 / 4.07 = $2.9877
= $2.99 = 299 cents
second store :
Amount paid = $14.99
Pounds of shrimps = 5.11
Unit price :
Amount paid / pounds of shrimps
$14.99 / 5.11 = $2.933
= 2.93 = 293 cents
Hence, the better buy is that from the second store as it is cheaper than that purchased from the first store
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of households in a group of six households from this area that have cable tv. For what proportion of groups will at most three of the households have cable tv?
Answer:
0.05606
Step-by-step explanation:
This is a binomial probability distribution problem.
84% of all households have cable TV, thus;
p = 0.84
There are six households from this area, thus; n = 6
Formula for this binomial distribution is;
P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)
We want to find the proportion of groups where at most three of the households have cable TV.
Thus, it's is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678
P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528
P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963
P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855
Thus;
P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606
the red knot speeds spring and summer in northern canada where it's breeding ground are located and winters as far south as the southern tip of South America.
a) Canada, where it's breeding ground located
b) Canada where it's breeding ground located,
c) canada, where it's breeding ground located,
d) correct as it is
witch one is correct
Answer: A
Step-by-step explanation:
uIf it included Northern in the answer choices than it should be capital because it is a location and with the comma after Canada helps clarify here its breeding ground is at and to stop it from being a run on sentence (tho It would be used with a period to stop a run on sentence but to help it here.)
MOVIES Marcus is a member of a theater club. He pays a monthly fee and his movie tickets are then $5 for an unlimited number of movies that month. The graph shows the cost for each month. Find and interpret the rate of change and the initial value.
how many rectangles from 18 square boxes
Answer:
9 rectangles
Step-by-step explanation:
two squares form a rectangle.
18 ÷ 2 = 9
Which inequality is represented by the graph?
Answer:
y<2/3x-2.5
Step-by-step explanation:
Y=mx+b
m=2/3
b=2.5
because the top half of the graph is shaded
Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home with $7.75 in her wallet. How much money did she take to the mall originally?
A.
$21.00
B.
$28.75
C.
$30.75
D.
$36.50
A line intersects the points
(-4, 5) and (-6, 3).
Write an equation in point-slope form
using the point (-4, 5).
y- [?]=l(«-)
Answer:
y -y1 = m(x-x1) (this is point slope form)
find the slope using the equation (y2-y1)/(x2-x1) (plug in the points)
(-4,5) is point 1 and (-6,3) is point 2
(3-5)/(-6-(-4))
-2/ -2
1 (this is the slope)
and then plug in all the things you know
y - 5 = 1 ( x - ( -4))
Step-by-step explanation:
Can someone help me with this please
Answer:
teal, red, purple are the correct answers
A store advertises 15% off an item that regularly sells for $300.
What is the sale price of the item?
Answer:
The sale price of the item is $ 255
Step-by-step explanation:
To determine the amount of discount ( d ) offered by the store, we calculate
15 % of the sale price. Thus:
d = 300 × 15 ÷ 100
d = 3 00 × 15 ÷ 1 00 (take the 2 zeros out on both the hundred and 3 hundred)
d = 3 × 15
d = 45
If the amount of discount is known, the sale price ( s ) of the item will be the regular price minus the discount. Hence:
s = 300 − 45
s = 255
Hope this helps you! If not sorry!
While on vacation in Europe, you go shopping and buy a large LEGO set that weighs 4 pounds. The post office only shows shipping rates in kilograms. About what mass is the LEGO set in kilograms?
Answer:
,,,,,
Step-by-step explanation:
What is 0.6 repeating times 0.75
Answer:
0.5
Step-by-step explanation:
Mary has two job offers.
• The first job pays $8.00 an hour plus a $100 bonus.
• The second job pays $8.50 an hour plus an $80 bonus.
What equation would represent Mary's first job offer.
Answer:
8h+100
8.50h+80
Step-by-step explanation:
The equation for her first job is y = 8h + 100 and the equation for her second job is y = 8.5h + 100
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Mary has two job offers.
The first job pays $8.00 an hour plus a $100 bonus.
The second job pays $8.50 an hour plus an $80 bonus.
Let h be the number of hours and y be the income.
The equation for her first job will be
y = 8h + 100
The equation for her second job will be
y = 8.5h + 100
More about the linear system link is given below.
https://brainly.com/question/20379472
Amari was paid $12 an hour and received $600 at the end of the season as a bonus. Maria was paid $14 an hour, but only received a $300 bonus. If both of them worked the same number of hours, x, which of the following equations would represent how many hours they would have needed to work in order to get paid the same at the end of the season?
A) 12x + 600 = 14x + 300
B) 14x + 600 = 12x + 300
C) 12x = $900
D) 600x + 12 = 300x + 14
Answer:
A) 12x + 600 = 14x + 300
Step-by-step explanation:
B doesn't make sense, as it matches up Amari's bonus with Maria's pay, and C does not make sense as the simplified equation is not 12x = $900.
12x + 600 = 14+ 300
300 = 2x
x = 150
Answer:
A
Step-by-step explanation:
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle.
Find the Width and the Length
W=
L=
Answer:
The length of rectangle is 7 cm and width is 2 cm.
Step-by-step explanation:
Given that:
Area of rectangle = 14 square centimeters
The length of a rectangle is 3 centimeters less than five times its width.
Let,
L be the length and W be the width of the rectangle.
L = 5W - 3
Area of rectangle = Length * Width
14 = (5W-3)*W
[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]
Factorizing the equation;
[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]
Either,
5W+7 = 0
5W = -7
W = -7/5
Or,
W-2 = 0
W=2
As width of rectangle cannot be negative, therefore,
Width = 2 centimeters
Length = 5(2) -3 = 10-3 = 7
Hence,
The length of rectangle is 7 cm and width is 2 cm.
PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
Ron drew a scale drawing of a neighborhood park. The scale he used was 1 centimeter: 2 meters. The actual width of the volleyball court is 8 meters. How wide is the volleyball court in the drawing?
Answer
16 wide
Step-by-step explanation:
because i do 8 x 2
Answer: 4 cm will equal the width of the volleyball court on the scale drawing
Step-by-step explanation:
1cm = 2m
8m/2m =4 cm
Which would describe a translation 2 unis left and one unit up
Answer:
(2, 1) or (1, 2)
Step-by-step explanation:
I not sure :3 I think its most likely (1, 2)
An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Which statement best describes the function?
O
A. The function is linear at some points and nonlinear at other points,
B. The function is nonlinear.
c. Not enough information is given to decide.
O
D. The function is linear.
SUBMIT
Answer:
The function is linear at some points and nonlinear at other points,
Step-by-step explanation:
An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Answer: D : It’s linear
.
Step-by-step explanation:
Need help because I wasn’t at school.
Answer:
you should try math
Step by step explanation:
way
True or false question someone plz help I’ll cash app !
Answer:
true
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Please help I’ll mark u <3
Answer:
x>-4
Step-by-step explanation:
I NEED HELP ASAP!!!!
Answer:
Those all look correct if that's what you are asking
Step-by-step explanation:
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answer:
what?
Step-by-step explanation:
what the hell is 5+5
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin
Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
For further details, please refer this link:
https://brainly.com/question/25095797
6x2 + 7x - 49
What is the answer
Answer:-
Step-by-step explanation:
Answer:
7x - 37
Step-by-step explanation:
The Mayor of Carrabelle, FL, is expecting an increase in the population by 6.5% next year.If represents the current population, which expression can the Mayor use to find the expected population next year?
•1.65
•1.065
• + 0 .065
•1 + 0 .065
Please help
Answer:
1.065p
Step-by-step explanation:
i dont exactly know the Step-by-step explanation but when i answered it on my test they said it was right !!
Which of the following statements is true about the graphs of a linear function (x) = mx + b and that of an exponential function g(x) = a*, where a > 0 and a = 1?
Answer:
the answer a is the correct answer
Zelda rode her bike at a steady rate of 12 miles per hour for 3
Answer:
36miles
Step-by-step explanation:
Given parameters:
Rate = 12mph
Time = 3hr
Unknown:
Distance = ?
Solution:
The given rate amount is the speed. Speed is the distance divided by the time.
It is mathematically expressed as:
Speed = [tex]\frac{distance}{time}[/tex]
Distance = Speed x time
Distance = 12 x 3 = 36miles
What is the location of Point A
Answer:
Wheres the rest of the question
Step-by-step explanation:
Answer:
You need to show the picture so we can help you with all due respect
Step-by-step explanation:
