25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.
Given:
Consider the expression is
[tex]144x^2-100[/tex]
Jeremy factored the given expression and his steps are given.
To find:
The error in his solution.
Solution:
We have,
[tex]144x^2-100[/tex]
It can be written as
[tex]=12^2x^2-10^2[/tex]
[tex]=(12x)^2-10^2[/tex]
[tex]=(12x+10)(12x-10)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Taking out common factors from each parenthesis.
[tex]=2(6x+5)2(6x-5)[/tex]
[tex]=4(6x+5)(6x-5)[/tex]
So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.
Therefore, Jeremy made his mistake in his last step.
A store sells a pound of bananas for $0.40 and a pound of cabbage for $0.56. Can you buy more pounds of bananas or cabbage with $7? How many more pounds?
Answer:
The bananas will cost $1.38.
Step-by-step explanation:
Explanation:
Multiply the number of pounds by the price per pound.
2.51lb×$0.55lb=$1.38
Solve the system of equations by Linear Combination (Elimination)
6x - 2y = 16
x + 2y = 5
a) (3,1)
b) (1,3)
c) Infinite Many Solutions
d) No Solution
PLEASE PLEASE PLEASE HELPPP MEEE
b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)
ANSWER FOR BRAINLIEST
Answer:
x = 10
Step-by-step explanation:
( 6x - 6 ) + ( 7x + 1 ) + 55 = 180
6x + 7x = 180 + 6 - 1 - 55
13x = 130
x = 10
Check:
6(10) - 6 = 56
7(10) - 1 = 69
55 + 56 + 69 = 180 ✔️
Which equation represents a line that is a perpendicular bisector to the line joining the points A(3,-4) and B( 5 , -2)?
1. y +4 = -1(x -3)
2. y + 3 = -1(x - 4)
3. y -1 = 3(x - 4)
4. x + y = -1
Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she should put into each bag?
Answer:
Softballs = (48/b)
Step-by-step explanation:
Given that,
Total number of softballs = 48
She wants to divide them evenly among b softball bags.
We need to find an expression that represents how many softballs she should put into each bag.
As it is dividing among b softball, it means we divide 48 and b. So,
[tex]s=\dfrac{48}{b}[/tex]
Hence, the required expression is (48/b).
You want to add lace around the outside of your circular kitchen table cloth. If the diameter of the table cloth is 16 cm, then which of the following measurements would represent how much lace you need?
The length of lace would be the circumference of the circle.
Circumference = diameter x Pi
Circumference = 16pi cm
Circumference = 50.24 cm ( approximately)
Answer:
The circumference of the circle.
Step-by-step explanation:
Hey Everyone I was asking anyone can help with this problem it would really appreciated.
Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
Math equation with its graph
a) y=3x+2
b) y= -x+5
c) y= 2x-1
d) y= -4x
See picture attached
Please help
Answer:
y=3x+2 to B
y=-x+5 to D
y=2x-1 to C
y=-4x to A
2X + 10 = -2
3X -4 311
X=__
X =
4X - 1 = -5
X =
I!!!
X =
2X + 5 = 21
-3x - 2 = -17
X =
Answer:
#1: -6
#2:5
#3: -1
#4: 8
#5: -5
Step-by-step explanation:
I found what could go into each for example 2(-6) +10= -2.
2 x -6 is -12 and then you add to ten to that and get -2.
Answer: Answer:
1. -6
2. 5
3. -5
4. 8
5. 5
Hope this helps!
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-x^2+90x-454
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
Find the area of a rectangle whose length is 5 ½ feet long and 1 3/4 feet wide.
Answer:
11/2 x 7/4 = 77/8 = 9 5/8
Step-by-step explanation:
Pet Supplies make a profit of $5.50 per bag on the nine of natural dog food. If the store wants to make a profit of no less than $5200, how many bags of dog food does the store I need to sell?
Answer:
=> (5200 X 9)/5.5=8509
Step-by-step explanation:
Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?
Answer:
65/7
=9.28..lies btwn 9 and 10
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
mm²
Composite figure composed of a a right triangle with a base of 3 mm and a height of 4 mm, and two rectangles, one with side lengths of 3mm and 4mm, the other with side lengths of 1 mm and 6 mm.
Answer:
18 mm²
Step-by-step explanation:
Firstly, I do not think the person above me has the correct answer.
Okay, so I am not very good at explaining things but I will try. When finding the area of a composite figure, you add Area A + Area B.
So for this equation, figure one has a length of 4mm and a width of 3mm. Remember when we are finding the area of a shape, we multiply Length times Width. So, figure one has an area of twelve. The Same applies to figure two. Figure two has a length of 1mm and a width of 6mm, we multiply one by six and get six. Now we add the area of the twelve and six and we get 18mm²
I understand that my explaining skills suck, so I will show it in an easier way
Area A = 4mm x 3mm
Area A = 12mm
Area B = 1mm x 6mm
Area B = 6mm
Area A + Area B = Total Area
12mm + 6mm = 18mm²
So, 18mm² will be your answer.
I hope this helps.
Sorry if it isn't helpful or correct.
The total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
What is Area of Rectangle?The area of Rectangle is length times of width.
Composite figure has a right triangle and two rectangles.
right triangle with a base of 3 mm and a height of 4 mm
Area of triangle = 1/2×4×3
=6 square millimeter
Area of first rectangle with side lengths of 3mm and 4mm
Area of first rectangle = 3 × 4
= 12 square millimeter
Area of second rectangle with side lengths of 1mm and 6 mm
Area of second rectangle =1×6
=6 square millimeter
Total area is 6+12+6 which 24 square millimeters.
Hence, the total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
To learn more on Rectangles click:
https://brainly.com/question/20693059
#SPJ3
A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is $5, and tickets cost $27 per person, including tax. Write and solve an inequality which can be used to determine r, the number of people who can go to the amusement park.
Answer:
275=27x+5
Step-by-step explanation:
10 people can go to the park
27(10)+5=275
What number is the same as distance from 0 on a number line as 1 1/2
Answer: What is the distance from 0 on a number line called?
The distance between a number's place on the number line and 0 is called the number's [absolute value]. To write the absolute value of a number, use short vertical lines (|) on either side of the number.
Step-by-step explanation:
Here's a hint. I hope this helps.
Please I need help this is already late
the first would be A and hopes this helps
Edwin bought 3 cds and 7 dvd for $80 Jessica bought 6cds and 3 dvds for $63.75 which system of equation could be used to determine how much one cd and one dvd cost
Answer:
The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.
Step-by-step explanation:
Given that:
Cost of 3 CDs and 7 DVDs = $80
Cost of 6 CDs and 3 DVDs = $63.75
Let,
x be the cost of one CD
y be the cost of one DVD
According to given statement;
3x + 7y = 80
6x + 3y = 63.75
Hence,
The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.
what does 40 centimeters equals in meters
Answer:
Its 0.4 meters!
Step-by-step explanation:
Somebody please answer quick
Look at the graph below
Which of these describes the graph?
The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number
A 4 in
B 6 in
C 1 in
D 2 in
Answer:
D. 2 inches.
Step-by-step explanation:
Given the following data;
Volume of golf (sphere) = 4 in³
A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the equation, we have;
[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]
Cross-multiplying, we have;
[tex] 12 = 4 * 3.142* r^{3} [/tex]
[tex] 12 = 12.568 * r^{3} [/tex]
[tex] r^{3} = \frac {12.568}{12} [/tex]
[tex] r^{3} = 1.0473 [/tex]
Taking the cube root of both sides, we have;
Radius, r = 1.016 inches.
To find the diameter;
Diameter = radius * 2
Diameter = 1.016 * 2
Diameter = 2.03 ≈ 2 inches.
Answer:
the answer is 2.
Step-by-step explanation:
i just did this question on the exam
The two triangles shown are similar. Find the value of b.
Answer:
Since the corresponding sides of similar triangles are proportional,
[tex]\frac{a}{b}= \frac{2.1}{1.4} =\frac{3}{2}[/tex]
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
A
Step-by-step explanation:
15 POINTS HURRY
Write an expression that is equivalent to 5
3
r - 8
2
Find the approximate perimeter of pentagon ABCDE plotted below.
A(-6,5)
B(-2,5)
C(6,0)
D(2,-4)
E(-6,1)
Answer: 32.5
Step-by-step explanation:
This is the answer on Khan Acadamy
Answer: 32.5
Step-by-step explanation: Khan Academy
A line passes through the point (-8, -9) and has a slope of 5/4
Write an equation in slope-intercept form for this line.
Answer:
y = 5/4x + 1
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
y=(5/4)x(-8)+3
Step-by-step explanation:
EZ
This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?
Answer:
[tex]y= 1.25(2)^{x}[/tex]
Step-by-step explanation:
[tex]y= 1.25(2)^{x}[/tex]
For x=0
[tex]y= 1.25(2)^{0} = 1.25[/tex]
For x=1
[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]
For x=2
[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]
For x=3
[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]
5/8^3+9-1/4^3= I really need help!!!
Answer: 3/8q^3 + 9
Step-by-step explanation:
1. combine like terms 5/8q^3 - 1/4q^3, need to make denominator the same to subtract so multiply 2/2 by 1/4q^3, 5/8q^3 - 2/8q^3 = 3/8q^3
2. final answer is : 3/8q^3 + 9
