1. if the sum of the square of the number and 4 time the number is 21 what is the number?
2.if the sum of the square of the number and 4 time that number is 21 the what is the number?
3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.
4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle
Answers
Answer:
Step-by-step explanation:
1. Let the number be x
x^2 + 4x = 21
x^2 + 4x - 21 = 0
Solve the quadratic equation using factorization method
x^2 - 3x + 7x - 21 = 0
x(x - 3) + 7(x - 3) = 0
(x - 3)(x+7) = 0
x - 3 = 0 x + 7 = 0
x = 3 x = -7
The number is either 3 or -7
2. Same solution as number 1
3. Let
Width = x
Length = 2x - 3
Area of the rectangle = 9 square ft
Area of a rectangle = length × width
9 = (2x - 3) (x)
9 = 2x^2 - 3x
2x^2 - 3x - 9 = 0
Solve using quadratic formula
a = 2
b = -3
c = -9
x = -b +or- √b^2 - 4ac / 2a
= -(-3) +or- √(-3)^2 - 4(2)(-9) / 2(2)
= 3 +or- √ 9 - (-72) / 4
= 3 +or- √9 + 72 / 4
= 3 +or- √81 / 4
= 3 +or- 9 / 4
x = (3 + 9)/4 or (3 - 9) / 4
= 12 / 4 or -6 / 4
x = 3 or -3/2
Width can not be a negative value
So,
Width = x = 3 ft
Length = 2x - 3
= 2(3) - 3
= 6 - 3
= 3ft
2.if the sum of the square of the number and 4 time that number is 21 the what is the number?
3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.
4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle
Unshaded area
Length = 2x
Width = x
Shaded area
Length = (2x+3)
Width = (x+3)
Area of the shaded area = 6 × the unshaded area
(2x) (x) = 6(2x + 3)(x+3)
2x^2 = 6(2x^2 + 6x + 3x + 9)
2x^2 = 12x^2 + 36x + 9x + 54
2x^2 = 12x^2 + 45x + 54
12x^2 + 45x + 54 - 2x^2 = 0
10x^2 + 45x + 54 = 0
Related Questions
Find the roots of each equation by factoring. 0=x^2–169
Answers
Answer:
x=13
Step-by-step explanation:
[tex]0=x^2-169[/tex]
[tex]169=x^2[/tex]
x=13
Hope this helped you.
<3
Red
c) If C.P. = Rs 660, loss percent = 5% find S.P.
d) If C.P = Rs 530, profit percent = 20%, find S.P.
Answers
Answer:
Hope this solution helps you
If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer
Answers
Answer: Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Step-by-step explanation:
Simple Answer: Six pairs of vertical angles are formed, two for each line crossed by the transversal.
(●'◡'●) ^_^
Simplify
348.94-188.34
Answers
Answer:
160.60 this is the answer
Answer:160.6
Step-by-step explanation:
It is a simple subtraction of the decimals
...I don’t understand umm can anyone help me smh-
Answers
{Rounded to the nearest Hundredths place}
1) Mercury= 170.55
2) Venus= 277.86
3) Earth= 389.62
4) Mars= 401.29
Explanation:
Mercury: 3.3022 x 10^19= 170.549894825 which rounds to 170.55
Earth: 5.9722 x 10^24= 389.618945662 which rounds to 389.62
Venus: 4.8675 x 10^21= 277.855972801 which rounds to 277.86
Mars: 6.4185 x 10^23= 401.287714067 which rounds to 401.29
•So smallest to largest would be• 170.55, 277.86, 389.62, and 401.29
[I hope this helps][Sorry if it doesn’t make sense]
If f(x) = 8 - 5x, find f(3) *
Answers
Answer:
Step-by-step explanation:
f(3)= 8-5(3)
=8-15
=-7
Simplify the expression.
-18 - 32 - 9 x |-2|
Answers
Answer:
-50-18x
Step-by-step explanation:
Answer:
4.444
Step-by-step explanation:
What value of x is in the solution set of 3(x – 4) = 5x + 2?
A0 -10
B-5
C5
D10
Answers
Answer:
-5?
Step-by-step explanation:
3(x - 4) = 5x - 2
3x - 12 = 5x - 2
3x - 5x = -2 + 12
-2x = 10
x = -5
Explanation:
Ms. Jackson’s class is going to the zoo. The zoo charges $10 for an adult and $6 for each student. If the total was $118, how many students went to the zoo?
Answers
ms Jackson is the only adult so 118-10=108
108 divided by $6 is 18, so 18 students
Answer:
so that means 10 parents went and 3 children went
Step-by-step explanation: first you count by 10,s to get to 100 like this 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 and then 10 parents went and then you would count by 6 to get to 18 like this 6, 12, 18.
What year is this car
Answers
Answer:
2006???
Step-by-step explanation:
lmk if it was right im curious lol
One week, Jose earned $145.60 at his job when he worked for 7 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $83.20?
Answers
Answer:
4 hours
Step-by-step explanation: you divide 145.60 by 7 to find out the hourly wage, then you divide 83.20 by the hourly wage
Find the range of allowable values based on the given information.
Round to the nearest tenth.
15; can vary by 2%
Answers
Answer:
14.7 to 15.3
Step-by-step explanation:
To find the range of values that can are permitted to vary by 2% of 15, first,
find the value of 2% of 15:
[tex] \frac{2}{100} * 15 = \frac{30}{100} = 0.3 [/tex]
The range of values allowed would either be 0.3 less than 15 or 0.3 more than 15.
Thus, the values would be:
15 ± 0.3
= 15 - 0.3 or 15 + 0.3
= 14.7 or 15.3
This means the minimum value allowed is 14.7, while the maximum value allowed is 15.3.
Therefore, the answer is:
14.7 to 15.3
Answer:
14.7 to 15.3
Step-by-step explanation:
Step-by-step explanation:
To find the range of values that can are permitted to vary by 2% of 15, first,
find the value of 2% of 15:
The range of values allowed would either be 0.3 less than 15 or 0.3 more than 15.
Thus, the values would be:
15 ± 0.3
= 15 - 0.3 or 15 + 0.3
= 14.7 or 15.3
This means the minimum value allowed is 14.7, while the maximum value allowed is 15.3.
Therefore, the answer is:
14.7 to 15.3
Item 1 A discounted concert ticket costs $14.50 less than the original price p . You pay $53 for a discounted ticket. Write an equation that can be used to find the original price. Equation: =53 Find the solution to your equation. The original price of the ticket was $.
Answers
Answer:
$53 + $14.50 = x
x = $67.50
Step-by-step explanation:
Let us assume the original price be x
It is given that
The discounted ticket is $53
And, the discounted concert ticket cost is $14.50 lower than the orginial price
So, the equation is
$53 + $14.50 = x
Now the x is
= $53 + $14.50
= $67.50
Hence, x denotes the original price of the ticket
We simply added the above two amounts
Kira is a runner. Her time to finish a race varies with the number of training miles she runs before that race. Which is the dependent variable?
Answers
Answer:
her time to finish a race varies on how many miles she runs before hand. Making it the dependent.
Step-by-step explanation:
I need help with this pls
Answers
Answer:
1.0,1,3,-5
2.2,-2,4,-1
Step-by-step explanation:
if the altitudes of an equilateral triangle are all 18cm how long are its sides?
Answers
Answer:
Every side on a equilateral triangle are the same.
Step-by-step explanation:
18cm for each side
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 perrl cup. Company D does not have a flat fee but charges $30 per cup.
What is the minimum number of cups that must be ordered for company C to be a better deal than company D?
Answers
Answer:
11 cups
Step-by-step explanation:
Not really a method just started at 10 and then realised deal d was better so go up by one so 11 and c worked out better as I timed 30 by 11 and 15 by 1 + the flat fee.
what is the slope for a line that is perpendicular to the line y=-5+4
Answers
Answer:
just change the signs
Step-by-step explanation:
y=5-4
Use the Distributive Property of Division to rewrite the following. (pls Simplify) 9+12n/3
Answers
Answer:
The answer to this equation is 9+4n
Combine like terms.
-7y2 + 2y3 – 7y + 4y3 + 6y2 + 4y2 + 3y
i need helpppp now !!! do anybody know the answer??
Answers
-7y^2+10y^2 is 3y^2 ***NOTE: 10y^2 is from the 6y^2+4y^2
-7y+3y is -4y
Answer: 6y^3+3y^2-3y
The resultant expression is -7y+3y is -4y which could represent the combined terms.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question as follows:
-7y² + 2y³ – 7y + 4y³ + 6y² + 4y² + 3y
We have to determine the resultant expression that could represent the combined terms.
As per the question, we have
⇒ -7y² + 2y³ – 7y + 4y³ + 6y² + 4y² + 3y
Rearrange the terms likewise variables,
⇒ 2y³+4y³ -7y²+10y²-7y+3y
Here 2y³+4y³ is 6y³, -7y²+10y² is 3y², and 10y² is 6y²+4y²
⇒ -7y+3y is -4y
Therefore, the resultant expression is -7y+3y is -4y.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
The sum of four consecutive integers is –18. What is the greatest of these integers?
Answers
Answer: -3
Step-by-step explanation:
The Consecutive numbers would be -3, -4, -5, -6. If you add them all up it equals -18. -3 is the greatest of the numbers as it is closest to 0.
You got to McDonald's and order some food for you and your friends.Your friends give you a list of what you need to order: 1 cheeseburger, 2 orders of fries, 3 cheeseburgers, and 3 orders of fries. How can you simplify this order so that way you don't have to read of the exact list they gave you.
Answers
Answer:
4 cheeseburgers and 5 fries.
Step-by-step explanation:
Here, the orders given are as follows:
1 cheeseburger,
2 orders of fries,
3 cheeseburgers, and
3 orders of fries
If we observe closely, it can be seen that there are orders of cheeseburgers 2 times and orders of fries also 2 times.
In order to simplify the given list, we must add the similar kind of orders together.
Therefore the given order list can be written as:
1 cheeseburger + 3 cheeseburgers, and
2 orders of fries + 3 orders of fries
OR
In other words:
4 cheeseburger, and 5 orders of fries
Therefore, the simplified order is:
4 cheeseburger, and 5 orders of fries
Find AC
Round to the nearest tenth.
BC=5
B=108°
A=31°
Answers
B/sin(b)=a/sin(a)
b=a sin(b)/sin(a)
B=5 sin(108)/sin(31)
b=9.2
What is the solution to 10(2x - 4) = 100x? Please do your best.
Answers
10(2x-4)=100x
20x-40=100x
-40=100x-20x
-40= 80x
-40/80x= -0.5
10(2x-4)=100x
20x-40=100x
20x=100x+40
20x-100x=40
-80x=40
Answer : x= - 1/2
Enter the number that makes the equation true 2 7/8+1 4/5=__ +1 32/40
Answers
Answer:
yo mama
Step-by-step explanation:
Can anyone help me how to do this?
Answers
105 + 135 + 92 + 87 = 419
540 - 419 = 121
The angle is 121
The nth term of an arithmetic sequence is given by an
an= 4 + 5(n-1). If you were to graph ordered pairs where x is the term number and y is the term, what linear equation would describe the line that passes through the points?
Answers
Answer:
y = 5x - 1Step-by-step explanation:
aₙ = y n = x
aₙ = 4 + 5(n-1)
y = 4 + 5(x - 1)
y = 4 + 5x - 5
y = 5x - 1
The distance between - 5 and -7
Answers
Answer:
-2
Step-by-step explanation:
what is the algebraic expression for , a number b divided by 36
Answers
Answer:
b/36
Step-by-step explanation:
Which of the following relations is a function?
I.
{(0, 0), (0, 1), (0, 2)}
II.
{(0, 0), (1, 1), (2,4)}
III.
{(0, 0), (1, 2), (2, 2)}
IV.
{(0, 0), (1, 2), (1,3)}
O (A) I, II, and Ill only
O (B) I and II only
O (C) I and III only
O (D) III and IV only
Someone I need it asapppp
Answers
Answer: is II and III an option those are the ones that would be correct.
Step-by-step explanation:
You can only have one of each domain. For example you cannot have (0,0) and (0,1) since that won’t pass the vertical line test, you can have (0,0) and (4,0) as long as the domains are different, they can still have the same ranges.