The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.
How to find the factors of a quadratic equation?The quadratic equation can be expressed as
ax² + bx + c = 0
Where c is a constant.
To find the factors of a quadratic equation, follow these steps!
Find the two numbers that the product is equal to ac and the sum is equal to b.Use them as the common factors and simplify.Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!
For quadratic equation x² + 2x + 1:
a = 1, b = 2, c = 1.ac = 1The two numbers are 1 and 1 → 1+1 = 2 and 1×1 = 1.The common factors: (x + 1)(x + 1)
For quadratic equation x² + 3x + 2:
a = 1, b = 3, c = 2.ac = 2The two numbers are 2 and 1 → 2+1 = 3 and 2×1 = 2.The common factors: (x + 2)(x + 1)
The quotient of the quadratic equations is
(x² + 2x + 1)/(x² + 3x + 2) = 0
(x + 1)(x + 1)/(x + 2)(x + 1) = 0
(x + 1)/(x + 2) = 0
Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.
Learn more about factoring quadratic equations here:
brainly.com/question/1863222
#SPJ4
What is the vertex form of 3x^2+6x+10
Answer:
3x2+6x−10
y=3x2+6x−10
Rewrite the equation in vertex form.
y=3(x+1)2−13
Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)
Step-by-step explanation:
Find the unknown angle
Answer:
A = 45°
Step-by-step explanation:
All angles in a triangle add up to 180°.
We know that one angle in the triangle is 90° (this is known because of the small square).
Hence:
A + A + 90° = 180°
Simplify
2A + 90° = 180°
Rearrange
2A = 180 - 90
2A = 90
Divide both sides by 2, so that A is by itself
A = 45°
A measure of how much space something takes up ?
Answer:
Volume
Step-by-step explanation:
Mass is measured using a scale. Volume is the amount of space matter takes up. Volume can be measured by multiplying the length, width, and height of an object, or by using a measuring cup and seeing how the measurement of water changes in a cup. Density is the amount of matter an object has in a certain space.
Answer:
VOLUME
Step-by-step explanation:
Find the area of this triangle. Round to
the nearest tenth.
20 ft
9 ft
1100
15 ft
[? ]ft2
Enter
Answer:
63.3 square feet
Step-by-step explanation:
Let a = 20 ft, B = 15 ft, c = 9ft
[tex] s=\frac{a+b+c}{2} [/tex]
[tex] s=\frac{20+15+9}{2} [/tex]
[tex] s=\frac{44}{2} [/tex]
[tex] s=22\: ft[/tex]
[tex]Area \: of \:\triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{22(22 - 20)(22 - 15)(22 - 9)} \\ \\= \sqrt{22 \times 2 \times 7 \times 13} \\ \\= \sqrt{44 \times 91} \\ \\ = \sqrt{4,004} \\ \\ = 63.2771681 \\ \\ \approx 63.3 \: {ft}^{2} [/tex]
help if you answer something not related to this I will report
Answer:
Complement of 50° = 40°
Supplement of 145° = 35°
Complement of 27° = 63°
Supplement of 50° = 130°
Step-by-step explanation:
Complementary angles add up to 90°
Supplementary angles add up to 180°
90° - 50° = 40°
180° - 145° = 35°
90° - 27° = 63°
180° - 50° = 130°
Answer:
Complement 50° = 40°
Supplement 145° = 35°
Complement 27° = 63°
Supplement 50° = 130°
Complement angles = adds up to 90°
Supplement angles = adds up to 180°
Brainly plz :))
Write your own algebraic expression with atleast four terms that can simplify to 12x+4 (PLEASE HELP ASAP)
Answer:
4(2x + 1) + 4x = 8x + 4 + 4x = 12x + 4
Can yall help its due in 30 minutes
Answer:
$462.50
Step-by-step explanation:
:))
hey guys can you help with this
Step-by-step explanation:
use the formula of area of triangle .
if B=X then h=8+x
write an expression for the perimeter of the triangle shown below 2.3x + 14 2x -0.2x + 15
Answer:
4.1x + 29
Step-by-step explanation:
So the perimeter would be the sum of all of the sides, so:
[tex]2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29[/tex]
Answer: 4.5x+ 29 which is 3, so 3 is correct.
Step-by-step explanation:
P = a+b+c
First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)
Tell whether the table of values represents a linear or an exponential function.
x = -3,-2, -1,0, 1
y = 1,2,4,8, 16
The table represents
function.
The function is y=
Answer:
well if u think abut adding them or multyplying them then if u round all the numbers to the nearest 100s then u will get ur answer witch is 122 is ur answer
Step-by-step explanation:
-6x-7-4x-2 How can I solve this?
Use PEMDAS
Parentheses first
Exponents next
Multiplication then
Division in the same step
Addition then
Subtraction
The correct answer is 10x-9
That's not an answer for me
Answer:
so you need a answer or a question
Answer:
child anywaysssss
Step-by-step explanation:
yfgxgx
A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer:
82
Step-by-step explanation:
let X = the number of hamburgers sold
let Y = the number of cheeseburgers sold a combined total of 328 were sold
so: X + Y = 328
cheeseburgers = 3 times the number of hamburgers sold
so: Y = 3X
substitute 3X into the equation for Y
X + 3X = 328
4X = 328
divide both sides by 4 to get the variable X by itself
X = 82
so: 82 hamburgers were sold Friday
Answer:
There were 225 hamburgers sold on Sunday.
Step-by-step explanation:
2h - 74 = 376
h = hamburgers
2h - 74 + 74 = 376 + 74
2h = 450
2h/2 = 450/2
h = 225
Check.
hamburgers + cheeseburgers = total number of burgers
225 + (225 - 74)
225 + 151 = 376
in integers how to know if minus (-) 1 upon 2 is greater or minus (-) 1 is greater???
Answer:
1/2 is 0.5 so -1/2=-0.5
-0.5 is greater than -1
use a number line
Step-by-step explanation:
By looking at the number line we can easily tell which integers are greater (larger) than a certain number and which are less (smaller) than the number. When two numbers are located on a number line, the number to the right is larger than the number to the left. –1 is less than –1/2 because it is to the left of –1/2.
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
Benjamin took a taxi from his house to the airport. The taxi company charged a pickup fee of $2.60 plus $3 per mile. The total fare was $74.60, not including the tip. How many miles was the taxi ride?
Answer:
74.60=3x+2.60
74.60-2.60=72
72/3=24
x=24
the taxi ride was 24 miles
În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu
Answer:
ab hyppotenusejabqianahqiwnna. jajabanqk
6 x 10^8 is how many times a large as 2 x 10^3
the answer should be 3 x 10⁵
Answer:
it is 300000 time large
Step-by-step explanation:
Hope this Helped
Please help pleaseeeeeeee
Answer:
it is 10.5 cm squared! I hope this helps
Reduce 21/24
What is the answer to this?
Answer:
7/8 or 0.875
Step-by-step explanation:
HELP ASAPP! Practice 9.4 - 9.5
ONLY QUESTIONS 6,8,9 AND SHOW WORK PLEASE!!
Answer:
6.JMK=90-28
=62
STR=180-118
=62
(PROVEN)
12x + 15y = 9
−12x − 18y = −6
HELP JUST SOLVE IT
Answer:
x = 2, y = -1
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
12x+15y=9,−12x−18y=−6
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
12x+15y=9
Subtract 15y from both sides of the equation.
12x=−15y+9
Divide both sides by 12.
x= 1/12 (−15y+9)
Multiply 1/12 times −15y+9.
x = -5/4y+3/4
Substitute -5y+3/4 for x in te other equation, -12x - 18y = -6
-12 ( -5/4y+3/4) -18y = -6
Multiply −12 times -5y +3/4
15y−9−18y=−6
Add 15y to −18y.
−3y−9=−6
Add 9 to both sides of the equation.
−3y=3
Divide both sides by −3.
y=−1
Substitute −1 for y in x= -5/4y+3/4. Because the resulting equation contains only one variable, you can solve for x directly.
x= -5/4(-1)+3/4
Multiply -5/4 times -1.
x = 5+3/4
Add 3/4 to 5/4 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x=2
The system is solved.
7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm
Answer:
88 ... .... . ... . . . ... ............... ....
Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.
a. Write an inequality to describe how many tiles are needed to make one row of tiles across the width of the room.
b. Solve the inequality.
c. How many tiles should Jeanette buy to form one row?
A. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 7[tex]\frac{1}{2}[/tex]
B. [tex]\frac{3}{4}[/tex]t [tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 13[tex]\frac{1}{3}[/tex]
C. [tex]\frac{3}{4}[/tex]+t[tex]\geq[/tex]10; t[tex]\geq[/tex]9[tex]\frac{1}{4}[/tex]; 10
D. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 14
Answer:
D. 3/4>=10; t>=13 1/3; 14
Step-by-step explanation:
Solving the above inequality.....
So, Jeanette should buy 14 tiles to form one row.
The sum of a number and 9 is 21. Find the number.
Answer:
12
Step-by-step explanation:
HELPPP PLEASEEEEEEE I NEED HELP
Answer:
Part A: -3x^8 + 2x^5 + 4x^3
Part B: 8
Part C: 3
Part D: -3x^8
Part E: -3
Step-by-step explanation:
A. Standard polynomial is :
[tex] - 3 {x}^{8} + 2 {x}^{5} + 4 {x}^{3} [/tex]
B. Degree of the polynomial is : 8
C. Number of terms are : 3
D. Leading term of the polynomial is:
[tex]-3 {x}^{8} [/tex]
E. Leading co effecient of the polynomial is: -3
Natilie invested $200 in a savings account that earned 4% simple interest each year. She invested for
two years without adding or taking money from her account.
A. How much INTEREST has she made? (I=PRT or Interest = Principal x Rate x Time
B. How much money does she have in total? Show work for both.
Given a sphere with a radius of 2 cm find its volume to the nearest whole number.
A 17 cm
B.3cm
C. 33 cm
D. 3 cm
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
What is the square root of 10 plus 25 minus 5 times 20
Answer: √
10
−
75
Step-by-step explanation:
Answer:
463.245553
Step-by-step explanation:
3.16227766+25-5 times 20
HELPPP ME PLEASEEE!!!!