Answer:
(x - 20)(x - 1)
Step-by-step explanation:
Given
x² - 21x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 21)
The factors are - 20 and - 1 , since
- 20 × - 1 = + 20 and - 20 - 1 = - 21 , thus
x² - 21x + 20 = (x - 20)(x - 1) ← in factored form
Answer:[tex](x-1)(x-20)[/tex]
Step-by-step explanation:
(x-1)(x-20)
[tex]x^{2}[/tex]-20x-1x+20
[tex]x^{2}[/tex]-21x+20
IF THE SUM OF THREE CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)
Please help me!
Simplify each ratio. Write the simplified version in the same form of the ratio.
3 to 6
5:20
18 to 22
1820
2555
6 to 42
18 to 10
12 to 4
16:8
24 to 16
18 to 36
54 to 9
81:27
72 to 9
1812
Answer:
1 to 2
1:4
9 to 11
?
?
1 to 7
9 to 5
3 to 1
2:1
3 to 2
1 to 2
6 to 1
3:1
8 to 1
?
Find the area of the figure
Answer:
56ft
Step-by-step explanation:
help please idk what to do
Step-by-step explanation:
solve the ineq first then plot on the number line so,
-2(4x + 5) ≤ 30
-8x - 10 ≤ 30
-8x ≤ 40
x ≥ -5
therefore, option A is correct.
Topic: Inequalities
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Please help me. Thanks! :)
Answer:
Required Answer:-R (-1,5)S (-3,1)T (-7,3)V (-5,7)[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt {(-3-1)^2+(1-5)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-4)^2+(-4)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {16+16}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {32}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt{32}[/tex]
____________________[tex]{:}\leadsto[/tex][tex]\sf ST=\sqrt {(-7-3)^2+(3-1)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-10)^2+(2)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {100+4}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf ST={\sqrt{104}}[/tex]
___________________[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {(-5-7)^2+(7-3)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-12)^2+(4)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {144+16}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {150}[/tex]
____________________[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {(-5-1)^2+(7-5)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-6)^2+(2)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {36+4}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {40}[/tex]
______________________Perimeter =RS+ST+TV+RV
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf Perimeter =4\sqrt{20}[/tex]
Which phrase represents the graph below?
A runner in a sprint race
A person jumping on a trampoline
Both of the above
Neither of the above
Answer:
person jumping on trampoline
Step-by-step explanation:
A person jumping on a trampoline
What is a Graph?a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.
How to determine?According to the graph,
It is measured between height and time,
Which can be related to
A person jumping on a trampoline
Learn more about Graph:
https://brainly.com/question/24408122
#SPJ2
Enter the equation of the line in slope-intercept form.
The line parallel to y =
5
4
x + 8 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = ???
Answer:
typing this answer to get points hope u get ur answer soon :)
Step-by-step explanation:
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answer: $12.55
Step-by-step explanation:
A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you need?
Answer:
5 3/5 cups of Ingredient B
Step-by-step explanation:
A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you need?
This is calculated as:
1/2 cups of Ingredient A = 1 2/5 cups of Ingredient B
This means:
1/2 cups of Ingredient A = 7/5 cups of Ingredient B
2 cups of Ingredient A = x
Cross Multiply
2 × 7/5 = 1/2 × x
x = 2 × 7/5/1/2
x = 2 × 7/5 ÷ 1/2
x = 2 × 7/5 × 2/1
x = 28/5
x = 5 3/5 cups of Ingredient B
Hence, For 2 cups of Ingredient A, 5 3/5 cups of Ingredient B is needed
Mr. Pao wants to buy a refrigerator that costs $1,232. He can pay the total all at once,
or he can make a one-time payment of $450 plus a $140 payment each month for 6 months.
How much can he save by paying the total all at once?
Audrie's mom gave her $20.00 to buy school supplies. Audrie needs to buy 4 packs of index cards and some notebooks. If each pack of index cards costs $1.95 and each notebook costs $1.99, how many notebooks can Audrie buy using only the money her mom gave her?
Step-by-step explanation:
20=4*1.95+1.99n
n=6
Audrie can buy 6 notebooks
What is the slope of the line that passes through the points (-10, 8) and (-15, -7) Write your answer in simplest form.
Answer:
-3/5
Step-by-step explanation:
-7-8/-15-10= -15/-25
divide by 5 to get -3/-5 or - 3/5
Simplify
f(x) = x² + 4
g(x)= xº + 5x - 1
find
f(x)- g(x)
Mr. Martinez's limo drove 15 miles south to Candy Land for some delicious gumdrops, then 5 miles east to Chuck E. Cheese for some scrumptious pizza. How far is Mr. Martinez from his starting point? Round your answer to the nearest tenth if necessary.
Answer:
15.8 miles
Step-by-step explanation:
Given that:
Distance driven south = 15 miles
Distance driven east = 5 miles
How far is Mr. Martinez from his starting point?
Using Pythagoras :
Distance from starting point(d) :
d = √(15)² + (5)²
d = √225 + 25
d = √250
d = 15.811388
d = 15.8 miles
IV. Describe the following rotations
PLS HELP ASAP
Answer:
90 degree rotation counterclockwise, or a 270 degree rotation clockwise.
Danelle needs to sell candy bars for a club bars for a club fundraiser she starts with 72 candy bars and begins selling at a constant rate of 8 bars each day
Answer:
Step-by-step explanation:
start at (0, 72), then (1, 64), (2, 56), ETC. I hope you see the pattern! Do it until you reach (9, 0)
help me of i die so pls help me
Answer:
10
100
1000
Step-by-step explanation:
I had a quiz on that the other day got 100%
whats 1 + 1 plz answer
Answer:
2
Step-by-step explanation:
Thanks for the points Kiddo
To make a quilt, a quilter is buying fabric in two colors, blue and green.
The quilter needs at least 9.5 yards of fabric in total.
The blue fabric costs $9 a yard.
The green fabric costs $13 a yard.
The quilter can spend up to $110 on fabric.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.
Please solve the Inequalities.
Answer:
3.375yards of blue fabric 6.125yards of green fabricStep-by-step explanation:
step one:
given data
blue fabric costs $9 a yard.
green fabric costs $13 a yard.
Let x represent the number of blue yards of fabric purchased and
let y represent the number of green yards of fabric purchased.
Step two:
The quilter needs at least 9.5 yards of fabric in total.
x+y>=9.5--------1
The quilter can spend up to $110 on fabric.
9x+13y<=110----2
from equation
x+y>=9.5
x=9.5-y
put x=9.5-y in equation 2 we have
9(9.5-y)+13y<=110----2
85.5-9y+13y=110
4y=110-85.5
4y=24.5
y=24.5/4
y=6.125
put y=6.125 in x=9.5-y to find x
x=9.5-6.125
x=3.375
Hence the quilt can purchase
3.375yards of blue fabric
6.125yards of green fabric
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.
Hence:
x + y ≥ 9.5 (1)
The quilter can spend up to $110 on fabric. Hence:
9x + 13y ≤ 110 (2)
The solution to the inequality is:
x = 3.375, y = 6.125
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Find out more on inequality at: https://brainly.com/question/241541
Tom spent $25,167 for a new car. The car will depreciate 11% each year. What will the car
be worth after 1 years? Round your answer to the nearest cent. Do not include the dollar
sign in your answer.
The diagram shows a triangle.
68
34
C
What is the value of c?
Answer:
n knf
Step-by-step explanation:
sdfdfdf
Write the equation of a line that is perpendicular to y = -1 and that passes through the point (8,-4)
Factoring x puzzle practice plz help
Answer:
Step-by-step explanation:
1). 17 and 2
17 × 2 = 34 and 17 + 2 = 19
2). 7 and 4
3). 24 and 1
4). ( - 11) and ( - 3)
5). ( - 15) and ( - 2)
6). 22 and 3
can some help me on these questions please!
Answer:
let y=the inner missing angle
y+x+31=180
y+(2x-8)=180
and combine the two
2x-8-x-31=0
x=39
Step-by-step explanation:
Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.
Sara lit a new candle and then recorded its height in inches every hour as (time, height). Her results were Syntax error.
Which statement is true?
The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.
The height of the candle decreases by 20 inches every hour, and its original height was 1.6 inches.
The height of the candle decreases by 9.6 inches every hour, and its original height was 20 inches.
The height of the candle decreases by 1.6 inches every hour, and its original height was 18.4 inches.
Answer:
The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.
Step-by-step explanation:
the ratio of 5 more than a number to 20 less than that number is 8:3. What is the number?
Answer:
35
Step-by-step explanation:
Let the number = y ;
5 more than the number = y + 5
20 less than that number = y - 20
Ratio = 8:3;
Solution:
Ratio of the number:
[tex]\frac{y + 5}{ y -20}[/tex] = [tex]\frac{8}{3}[/tex]
Now cross multiply and solve for y;
3(y+5) = 8(y-20)
3y + 15 = 8y - 160
3y - 8y = -160 - 15
-5y = -175
y = 35
Z1 and Z2 are complementary. The mZ1 = 25°. What is the mZ2?
Answer:
65°Step-by-step explanation:
Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 2.
HELPPP I SUCK AT MATH
If anyone plays pokemon go put your code in your answer and I will add you
Answer:
My code issssssss 163759
Step-by-step explanation:
Answer:
go charizard
Step-by-step explanation: