Answer:
a + b + c = 1
Step-by-step explanation:
To expand the bracket, [tex](2x - 3)^{2}[/tex] we will simply be multiplying the bracket by itself.
This will be the same as having [tex](2x - 3) \times (2x - 3)[/tex]
The first step in doing this is to multiply each of the values in the second bracket by the values in the first one.
[tex]2x \times 2x =4x^2[/tex]
[tex]2x\times -3 = -6x[/tex]
[tex]-3 \times 2x = -6x[/tex]
[tex]-3 \times -3 =9[/tex]
Once this is done, the next step is to group the like terms and evaluate the result.
[tex]4x^2 -6x-6x +9[/tex]
[tex]4x^2 -12x +9[/tex]
This is algebraic expression is the result of the expansion of [tex](2x - 3)^{2}[/tex] .
Based on the descending powers of x
a = 4
b = -12
c = 9
These are the coefficients of [tex]x^2[/tex] and [tex]x[/tex] and also the last figure.
a + b + c = 4 -12 +9 = 1
Every weekday after tennis practice, Will buys either a carton of milk or a bottle
of power drink.
Suppose that m is the number of cartons of milk that Will purchased during
the last month. His total cost for beverages in dollars last month can be
represented by the algebraic expression 2m + 3 (20 – m).
Which of the following statements are true? Select all that apply.
The cost of the power drink is $3 per bottle,
Will purchased 20 more bottles of power drink than cartons of milk.
Will purchased a total of 20 beverages during the last month.
The total amount Will spent on power drinks was $60
An equivalent expression for the total cost of Will's beverages during this month is
60 - m dollars
Will purchased 20 more cartons of milk than bottles of power drink
Answer:
The correct options are;
The cost of milk powder is $3 per bottle
An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars
Step-by-step explanation:
The given information are;
The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink
The number of milk purchased during the month = m
Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)
1) Therefore, given that the total amount is factored in dollars, we have;
2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;
Therefore;
Where;
2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk
Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month
From which we found the cost of milk powder = $3.00 per bottle
2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;
2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.
PLEASE HELP!
f(x) = 3x + 5
a) what is the inverse?
b) is the inverse f(x) a function?
Answer:
f'(x)= 1/3x - 5/3Step-by-step explanation:
Given function:
f(x) = 3x + 5The inverse of the function is:
x = 3f'(x) + 53f'(x) = x - 5f'(x) = 1/3x - 5/3This is also a linear function
HURRY ITS URGENT!!! ANSWER FAST PLEASE!! :/
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?
$145.60 / 7 hours = $20.8 / hour
$83.20 / $20.8 = 4 hours
Jose would have to work 4 hours to make $83.20
1. Solve the equation 15a +5= 5(3-2) for a. Show your work. State whether the equation has one solution, no solutions, or infinitely many solutions. If the equation has one solution, identify that solution. If the equation has no solutions, or infinitely many solutions, justify your choice.
Answer:
Use the distributive property and it will help a lot.
Step-by-step explanation:no solution
Answer:
Zero
Step-by-step explanation:
First you do (3-2) which is one then you multiply that by five which gives you 5. Then you will subtract 5 from each side and that leaves you with 15a=0. Divide both sides and you’ve got zero
me suremen Ur unswers The question.
1. Which graph represents the function y = -3x + 1 for the domain D: (-2,-1, 0, 1, 2}?
Answer:
C
Explanation:
A has a positive slope,
B and D don't match the equation
1.2424 as a fraction
Answer:
1553/1250 its already in its simplified form
4-17 (-6)-3
Pls help
I know it equals -10 but I need a step by step answer
Answer:
-10
Step-by-step explanation:
[tex]4-17-(-6)-3\\\\=4-17+6-3\\\\=(4+6)+(-17-3)\\\\=10+(-20)\\\\=10-20\\\\=-10[/tex]
step two is the rule of signs for multiplication
SOLVE FOR Y!!!!!!
2y-x= -4
Answer:
-2
Step-by-step explanation:
Answer:
Y=2+x/2
Step-by-step explanation:
llllllllllllll
Simplify 12^0 times 12^6. Answer using an exponent
Answer:
12^6
Step-by-step explanation:
12^0 x 12^6
12^0 = 1
So 12^0 x 12^6 = 12^6
do you know the domain and range
Answer:
Domain: (-3,2)
Range: (?,?)
Step-by-step explanation:
I low-key forgot how to do this...
My bad G <3
Answer:
D: All real numbers or (-∞, ∞)
R: (-∞, 2] or y ≤ 2
------------------------------------------
Domain:
The graphed function has arrows on both ends, meaning that it will extend to -∞ and ∞. Therefore the Domain is:
D: All real numbers or (-∞, ∞)
Range:
The graph extends downward infinitely, so the graph will extend to y = -∞ as x ⇒ -∞ and x⇒ ∞.
The graphed function has a maximum, or greatest y-value at y = 2, therefore:
R: (-∞, 2] or y ≤ 2
Amy cut 32 feet of chain into pieces that were each
1
4
ft long. How many of these pieces did Amy have after cutting the chain?
Be sure to use the correct place value.
Answer:
32ft of chain divided by 14ft pieces... that's two pieces of chain
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
32÷14=2.2857
2 with a remainder of 4feet
When she uses her driver, a golfer has the ability to land in the fairway 75% of the time and she uses her driver 12 times
the angles of a qaudileteral are x,2x,100 and 110 degress find the value of 2x
Step-by-step explanation:
Hey there!!!!
We generally sum up all the angles to get 360° as per given in our question.
Here, in your question, we have values as,
x, 2x, 100°, 110°.
(We have 360° as the sum quadrilateral).
So, x° + 2x° + 100°+110° = 360°
3x°+210°= 360°
3x° = 360° - 210°
or, 3x° = 150°
[tex]x = \frac{15 0 }{3} [/tex]
Therefore the measure of 2x is (2×50)°=100°.
Hopeit helps...
Answer:
X=50; 2x=2×50=100
Step-by-step explanation:
sum of angles in a quadrilateral is 360°
Therefore; x+2x+100+110=360;
3x+210=360;
3x=360-210;
3x=150;
divide both sides by the co-efficient of x;
3x/3=150/3;
x=50;
therefore 2x=2×50;
2x=100.
The temperature outside is 22 degrees C. What is this temperature in degrees Fahrenheit? Write hour answer as a decimal
eighteen fahrwnheit
goodluck :)
Answer:
22 degrees celsius turns to 71.6 into fahrenheit.
A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and has a $3 discount coupon, which inequality represents the number of air fresheners, x, the teacher can buy?
Answer:
Step-by-step explanation:
We need to create an equation to represent how many air fresheners the teacher can buy.
Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.
x = number of air fresheners
($10 + $3) / $3.50 = x can be written as $13/$3.50 = x
We add $10 and $3 because that gives us the total amount she has to spend.
We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.
In this case.
$13/$3.50 = x
3.71 = x BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.
if jm=5x-8 and lm=2x-6 what represents jl
Answer:
6344
Step-by-step explanation:
63443737377373733833
(½)² what is the answer
Answer:
.25
Step-by-step explanation:
.5 times .5 or half of half is .25
(½)² is 1²/2² so the answer is 1/4.
What is squaring of numbers ?When we multiply a number by it self once the number is squared.We add 1 to the exponent.We must also remember squares of numbers from 1 - 20 for us to solve questions related to squares and square roots.
For example - (5)² is 25. { 5² is 5 multiplied by it self once (5×5)}.
Also square root of 25 is 5.We can find square root of any given perfect square number by prime factorisation.
According to the given question we have find what is the square of half.
(1/2)²
= (1×1)/(2×2)
= 1²/2²
= 1/4.
So, square of half is one fourth.
learn more about squares here :
https://brainly.com/question/27352438
#SPJ2
can anyone help with these two questions
Answer:
8)
[tex]9x+6=60[/tex] (Alternate angles)
[tex]9x=54[/tex]
[tex]x=6[/tex]
9)
[tex]13x-6=12x+1[/tex] (Vertically opposite angles 3 times)
[tex]13x=12x+7[/tex]
[tex]x=7[/tex]
What is the measure of EFG
Answer:
56*
Step-by-step explanation:
All you have to do is add EFH to HFG
BC=11+2x, AB=x+5, and AC=16 find x
Answer:
Step-by-step explanation:
11 + 2x + x + 5 = 16
3x + 16 = 16
3x = 0
x = 0
4.8 cups of sugar are needed to make sweet tea. Melissa only has a cup scoop. How many scoops of sugar will she need?
Answer:
Hmm.
Step-by-step explanation:
She would need 16 scoops (if she has 3/10 of a scoop)
-2(7-15)
What is the value of
4
?
-4
-2
02
4
Steps to solve:
-2(7 - 15)
~Distribute
-14 + 30
~Add
16
Best of Luck!
23.8 and the answer is 28.17 and you are adding
Step-by-step explanation:
4.37
28.17-23.8=4.37
If the sum of two consecutive number is 71 and one number is x then the other number is options are x +(x+1)=71,x+(x+2)=71,x+x=71,none of these
A consecutive number is a number directly following another number.
For instance, 1 and 2 are consecutive numbers
So x + (x + 1) = 71 is the only correct choice
The explanation is on the picture please help me with my math
Answer:
Step-by-step explanation:
1. add 8 to both sides to get d=25
2. subtract 12 from both sides to get v=-17
3. add 2 to get b=-9
4. subtract m to get -16-m=71 then add 15 to get -m=87 then divide both sides by - to get m by itself so m=-87
5. subtract a then subtract 29 to get -a=-105 then divide it by - to get a=105
6. add 14 to both sides to get y=12
hope this helps :)
Michele bought 3.50 pounds of dried fruit for $11.55. Her friend buys 7.25 pounds of peanuts for $25.38. Which is less expensive per pound? By how much?
Answer:
fruit cost less by the
Step-by-step explanation:
one pound of fruit cost 3.30 and peanuts cost 3.50 per pound
-12-4b=4-2b EXPLAIN IN NUMBER FORM DO NOT PUT ANY WORDS
Step-by-step explanation:
-4b + 2b = 4 + 12
-2b = 16
2b = - 16
b = -8
Write 6/16 in lowest terms
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
divide by 2
Find four consecutive even integers whose sum is 100 what are the integers
X → first
X + 2 → second
X + 4 → third
X + 4 → fourth
x + x + 2 + x + 4 + x + 6 = 100
4x + 12 = 100
4x = 88
x = 22
x + 2 = 24
x + 4 = 26
x + 6 = 28
So your integers are 22, 24, 26, and 28.
Find the set of values of k for which the y = kx – 4 intersects the curve of y = x2 – 2x at two distinct points.
Answer:
For ax^2+bx+c=0,
x^2+x(-2-k)+4=0,
So, b=-2-k,
a=1, c=4, so
(-2-k)^2-(4*1*4)>0,
4+4k+k^2-16>0,
k*2+4k-12>0,
(k+6)*(k-2)>0,
the points of interest are
k=-6, k=2, so
look at k<-6, -6<k<2, and
k>2.
Just plug in values for each
interval and you will see
that k<-6 and k>2.
