Answer:
ab - a - b + 1 = (a - 1)(b - 1)
Step-by-step explanation:
Let us explain factorization by grouping
In the expression of 4 terms ax + by + bx + ay
Take every two terms have a common factor in a bracket
(ax + ay) + (bx + by)Take the common factor out of the brackets
a(x + y) + b(x + y)Take the bracket as a common factor
(x + y)(a + b)Let us do these steps with our question
∵ ab - a - b + 1 is an expression of 4 terms
→ Take ab and a in a bracket, -b and 1 in another bracket
∴ ab - a - b + 1 = (ab - a) + (-b + 1)
→ Take a as a common factor from the 1st bracket and -1 from
the 2nd bracket
∴ (ab - a) + (-b + 1) = a(b -1) + -1(b - 1)
→ Take the bracket (b - 1) as a common factor
∴ a(b -1) + -1(b - 1) = (b - 1)(a + -1)
∵ (+)(-) = (-)
∴ (b - 1)(a + -1) = (b - 1)(a -1)
→ Change the order of the bracket
∴ (b - 1)(a -1) = (a - 1)(b - 1)
∴ ab - a - b + 1 = (a - 1)(b - 1)
can a line and a point lie on the same plane.
Answer:
yes
Step-by-step explanation:
3 - +4 - = ?
4 4
OA.
3
7 -
4
OB.
4
3
8
OC.
8
OD. 7
0.42 - 4) = 0.24 + 7)
Answer:
im sorry if not but i think its 7.24
Step-by-step explanation:
PLEASE HELP
| y-x| + y-1
evaluate the absolute value expression for x= -3 and y= -6
Answer:
-4
Step-by-step explanation:
So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).
So, we can just start plugging things in and simplifying, so:
| -6 + 3 | - 6 - 1 = | -3 | -7
= 3 - 7
= -4
Hey 675 m bike trails pass-through far is Meadow Aracely exhale the trail that cuts through Meadows flags meadow a measures 24 3/4m three legs measure 52.25 m on one leg measures 32 m the rest of the trail pass through forces how many meters of the trail pass through the forest
Answer:
436.75
Step-by-step explanation:
Answer:
436.75
Step-by-step explanation:
what is d divided by equals
Answer: X and Y
Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right
Please help me I will give you the brainliest (I Didn’t spell that right but don’t care)
Answer:
positive
positive
negative
1 or -1
Step-by-step explanation:
Answer:
The product of two positive integers is always a positive
The product of two negative integers is always a positive
The product of a positive integer and a negative integer is always negative
The product of any integer and -1 is always a 1 or -1
Step-by-step explanation:
Hope this helps :)
Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?
Answer:
1/6 cups
Step-by-step explanation:
5/6 /5 = 5/6 divided by 5
= 5/6 x 1/5
= 1/6
so your answer is 1/6 cups of baking soda per tablespoon of water
yw ;)
The rate for cups of baking soda per tablespoon of water is 1/6.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mixture that he adds to the paint is made of 5/6 cup baking soda for every 5 tablespoons of water.
Hence, The rate for cups of baking soda per tablespoon of water is,
⇒ 5/6 ÷ 5
⇒ 5/6 × 1/5
⇒ 1/6
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
Mr.Milton had $1200 in his savings account at the beginning of the year. If his account has a balance of $1230 at the end of the year, what percent increase of his balance?
Answer:
2.5%
Step-by-step explanation:
1230-1200 = 30
30÷1200 = 0.025
0.025 x 100 = 2.5
The ages of three siblings are all consecutive integers. The sum of their ages is 39. How old is the youngest sibling?
could anyone explain this in a 2 part answer
Answer:
Let x = the age of the youngest child
Let x + 1 = the age of the middle child
Let x + 2 = the age of the oldest child
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 36
x = 12 years
Which statements are true 25 (0)=25, 25(1)=25, 25+0=25, 25+1=25
I really need the answer. will give brainliest!
If we are driving to California. We are staring at a map. The map says for every inch in a half on the map it comes out to be 5 miles. There are 137 miles from Houston to Hufflepuffsberg. How many inches is it from Houston to Hufflepuffsberg.
Answer:
The answer is 27.4 I'm bad at math and I tried so hope is correct
The record low temperature in Pittsburgh, PA is -22°F. The record high is 103°F. What is the difference in the record high and the record low temperatures?
Answer:
The difference in the record high and the record low temperatures is 125°F
Step-by-step explanation:
Given a quantity T that varies in time, say T1 and T2, being T1 the initial value and T2 the final value.
The change or difference between the final and the initial values is:
T=T2-T1
The record low temperature in Pittsburgh, PA is T1=-22°F while its record high is T2=103°F
The difference is:
T=103°F - (-22°F)
Note both negative signs multiply to produce a positive sign, and a sum instead of a subtraction:
T=103°F + 22°F = 125°F
The difference in the record high and the record low temperatures is 125°F
What is the following figure?
8 m
5 m
5 m
8 m
rhombus
rectangle
trapezoid
parallelogram
Answer:
rhombus
Step-by-step explanation:
you can't see what shape that is but Im doing this assignment right now I know what it looks like
What is the domain of this function?
Domain = inputs = x = { 1 , 2 , 3 }
Range = outputs = y = { 2 , -1 }
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
How do I work this problem -16f+13=2f-11
Answer:
f = 4/3
Step-by-step explanation:
-16f + 13 = 2f - 11
24 = 18f
Divide
24/18 = f
4/3 = f
[tex] - 16f + 13 = 2f - 11[/tex]
Subtract sides -13
[tex] - 16f + 13 - 13 = 2f - 11 - 13 \\ [/tex]
[tex] - 16f = 2f - 24[/tex]
Subtract sides -2f
[tex] - 16f - 2f = 2f - 2f - 24[/tex]
[tex] - 18f = - 24[/tex]
Negatives simplifies
[tex]18f = 24[/tex]
Divided sides by 18
[tex] \frac{18}{18}f = \frac{24}{18} \\ [/tex]
[tex]f = \frac{4}{3} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
I can't find the right answer
Answer:
[tex]x<-10\quad \mathrm{or}\quad \:x>10[/tex]
Step-by-step explanation:
[tex]x^2 > 100\\\\\mathrm{For\:}u^n\:>\:a\\\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:<\:-\sqrt[n]{a}\:or\:u\:>\:\sqrt[n]{a}\\\\x<-\sqrt{100}\quad \mathrm{or}\quad \:x>\sqrt{100}\\\\\sqrt{100}=10\\\\x<-10\quad \mathrm{or}\quad \:x>10[/tex]
is the ratio of chocolate to ice cream comes in a book is 5:8 and the number of chocolate is 30 find the number of ice cream cones
Answer:
48
Step-by-step explanation:
How many millimeters are in 90 ounces?
Answer:2661615
Step-by-step explanation:
29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615
hope this helps
Answer:
you used two different types of things ounces measure mass and millimeters measure length
but I used google and it said 2.662e+6
Consider the function f(x) = -2x+15 . What is the value of y when x = 3?
Answer:
f(3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x + 15
x = 3
Step 2: Substitute and Evaluate
f(3) = -2(3) + 15
f(3) = -6 + 15
f(3) = 9
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from
the base of the house. If the ladder has a slope of 3.3 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two decimal places.)
=_______ft
Answer:
At 19.14 feet the top of the ladder meet the house.
Step-by-step explanation:
It is given that,
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from the base of the house.
Slope of the ladder, m = 3.3 feet/foot
We need to find at what height does the top of the ladder meet the house. Let it is h.
Base, b = 5.8 feet
It will form a right angle triangle
Slope=h/base
h = slope × base
h = 3.3 × 5.8
h = 19.14 feet
So, at 19.14 feet the top of the ladder meet the house.
If you deposit $850 into an account which earns 6% yearly interest compounded monthly, how much will be in the account after 4 years, assuming you never withdraw money from the account? Round your answer to the nearest cent if necessary and do not include the dollar sign.
Answer:
1079.9
Step-by-step explanation:
A = P(1 + [tex]\frac{r}{n}[/tex])^nt
A: ending amount
P: principal (850)
r: interest rate in decimal form (.06)
n: compounding periods, 12 months in a year.
t: time in years (4)
= 850(1 + .06/12)^12(4)
= 850(1.005)⁴⁸
= 850(1.2704891)
= 1079.9157
Answer:
1079.92
Step-by-step explanation:
Which graph represents the linear equation y = 1?
Answer:
but there's no choices
Answer:
Since theres no options. The answer should look like this below:
<-------------------------------------------------------------------------------------------> x axis
Step-by-step explanation:
the owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg and the total weight of a box filled with apples is 12 kg. how many apples are packed in each box?
a. 14
b. 30
c. 40
d. 56
Answer: C=40
Step-by-step explanation: X=40 APPLES PER BOX.
PROOF:
2+.25*40=12
2+10=12
12=12
2 pay raises in 3 years unit rate
Answer:
1:1.5
Step-by-step explanation:
cut the 3 in half and cut the 2 in half
Let f(x)=(5)x+12. Evaluate f(0) without using a calculator.
Answer:
f(0) = 12
Step-by-step explanation:
You want to substitute 0 for x
f(0) = 5(0) + 12
f(0) = 12
Answer:
13
Step-by-step explanation:
Substitute 0 for x and simplify. f(0)=(5)0+12=1+12=13.
a) Work out the value of 5^2-1^5 x 2^4
Answer: 9
Step-by-step explanation
?
Which expression is equivalent to 9x5 +3x(4x4–3x2)
Answer:
[tex]30x^2+45x[/tex]
Step-by-step explanation:
The answer is
[tex]48^{9} - 72x^{7} +36x^{5}[/tex]
Construct a 2x2 matrix A= aij. whose elements are given by
a = |-3i + j| plz give step by step answer
what is the product of 4/9 and 1/11? 4/99 5/99 9/44 1/4
Answer:
4/99
Step-by-step explanation:
Multiply the numerator and den0ominater, then stack them
Answer:
4/99
Step-by-step explanation:
4/9 * 1/11
Multiply the numerators
4*1 = 4
Multiply the denominators
9*11 = 99
numerator over denominator
4/99