Answer:
y = 5x²+30x+37
=============================
1) squaring a binomial
[tex] \boxed{ (a+b) = a^2 + 2ab + b^2 }[/tex]
2) The distributive property
[tex] \boxed{ a(b+c) = ab+ac }[/tex]
============================
1) squaring a binomial
y = 5(x+3)² - 8
y = 5(x²+6x+9)-8
2) Distributive property
y = 5(x²+6x+9)-8
y = 5x²+30x+45-8
3) Finally
y = 5x²+30x+37
00:00
Choose Yes or No to tell if each pair of expressions is equivalent..
Amelia's account balance is $16. If she uses her debit card to buy a $32
shirt from the mall, what will the balance of her account be?
Answer:
-$16
Step-by-step explanation:
16-32=-16
I need help.. I can't figure it out
Answer:
136
Step-by-step explanation:
Find the circumference of a circle with a radius of 12.5 mm.
Answer:
78.54
Step-by-step explanation:
first, you multiply 12.5 mm by 2 to find the diameter which gives you 25, then you multiply 25 by pi (3.14) and you get 78.54
Patricia has $425.82 in her checking account. How much does she have in her account after she makes a
deposit (puts money in) of $120.75 and a withdrawal (takes money out) of $185.90?
Answer:
360.67
Step-by-step explanation:
425.82+120.75-185.90=360.67
A farmer planted corn in a square field. One side of the field measures 31 yards. What is the area of the cornfield?
Answer:
961 yards²
Step-by-step explanation:
A square has all its sides equal
Thus the area of the square is = length ² = 31² = 961
Simplify each expression by using the distributive property and combining like terms. 3 (2x - 4) - 4x
Given:
The expression is
[tex]3(2x-4)-4x[/tex]
To find:
The simplified form of the given expression by using the distributive property and combining like terms.
Solution:
We have,
[tex]3(2x-4)-4x[/tex]
Using the distributive property, we get
[tex]=3(2x)+3(-4)-4x[/tex]
[tex]=6x-12-4x[/tex]
On combining like terms, we get
[tex]=(6x-4x)-12[/tex]
[tex]=2x-12[/tex]
Therefore, the simplified form of the given expression is [tex]2x-12[/tex].
True or False: An equation to find Circumference is C = πr2
Answer:
False
Step-by-step explanation:
It's actually C=πd d is diameter or C=πr^2
Answer:
True
Step-by-step explanation: Calculate circumference from area
We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.
how to solve algebraic expressions
(b) A square has an area of 9 cm? What is the length of each side?
Answer:
Each side would have the length of 3.
Step-by-step explanation:
In order to find the area of something you have to multiply the side length and 3 x 3 equals 9.
Answer: The length of each side is 3cm
Step-by-step explanation:
The formula for finding the area of a square is A=a²
-------------------------------------------------------------------------------
Given
The Area is 9 cm
Formula
A=a²
Substitute the value into the formula
A=a²
9=a²
a=√9
a=3
(The reason why it is not ±3 is that length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
Match each of the equations with their corresponding graph
A horse's heart beats 440 times in 10 minutes. A cow's heart beats 390 times in 6 minutes. Which animal has a greater heart rate?
Answer:
The cow has a greater heart rate than the horse.
Answer:
A cow's heartbeat
Step-by-step explanation:
Horse heartbeat: 440/10 = 44
Cow heartbeat: 390/6 = 65
65 > 44
therefore a cow's heartbeat is greater
(and is your profile picture todoroki?!)
Evaluate the expression 4^3 divided by (7-3) x2
Answer:
8
Step-by-step explanation:
solve using inverse operations 83+q=125; q=
Answer:
42
Step-by-step explanation:
83+q=125
q=125-83
q=42
1. Which of the following is true?
a. All horizontal lines have a positive slope.
b. All horizontal lines have a negative slope.
c. All horizontal lines have a slope of zero.
d. All horizontal lines have an undefined slope.
What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Hey there!
The answer to your question is [tex]4x^2+2x-2[/tex]
Given:
[tex]x^2-3x+7[/tex] [tex]and[/tex] [tex]3x^2 +5x-9[/tex]
First, we can start by adding like terms. The following are like terms:
[tex]x^2[/tex] [tex]and[/tex] [tex]3x^2[/tex]
[tex]-3x[/tex] [tex]and[/tex] [tex]5x[/tex]
[tex]7[/tex] [tex]and[/tex] [tex]-9[/tex]
Now, we can add these pairs together, giving us:
[tex]4x^2[/tex]
[tex]2x[/tex]
[tex]-2[/tex]
Now, add all this together, and we get our answer as:
[tex]4x^2 + 2x - 2[/tex]
Have a terrificly amazing day!
Suppose 24 is 2% .what is 100%
Answer: 1200, also known as C.
Step-by-step explanation:
jack paid 36.25 for 12 1/2 for his car what is the price per gallon
Answer:
66.89
Step-by-step explanation:
whoever answers first will get brainliest
Answer:
y = 2x + 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x50=100
2x30=60
100x2=200
x is a positive integer.
33 = x is a positive integer.
Work out the four possible values of x, writing your values in ascending order.
Answer:
Four possible values of x: 10, 3, 20, 31
Writing it in ascending order : 3, 10, 20, 31, 33
Step-by-step explanation:
Because x is a positive integers it means that x could be any number that goes from zero to infinity.
The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer ; ....-2 , -1 , 0 , 1 , 2 , .....
Given the expression, 33/x
Now positive integers are whole numbers ( 1,2,3,...)
To 33/x be the whole number and x is also a positive integer.
33/1 = 33 (1,3 Positive integer)
33/3 = 11 (3,11 Positive integer)
33/11 = 3 (11,3 Positive integer)
33/33 = 1 (33,1 Positive integer)
Hence "The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33".
To learn more about integers,
brainly.com/question/1768254
#SPJ2
Given question is incorrect the correct question follows ;
33 / x is a positive integer. Work out the four possible values of x, writing your values in ascending order.
Someone help please and please make sure it’s right! :)
Answer:
x=12
Step-by-step explanation:
Answer:
its -7
Step-by-step explanation:
The sum of two numbers is 51, the difference is 17. Find the numbers.
Answer:
Sum: 34 + 17 = 51
Difference: 34 - 17 = 17
Step-by-step explanation:
math
Answer:
34, 17
Step-by-step explanation:
We can first get the two equations x + y = 51 and x - y = 17 by calling the first number x and the second one y. Next, we can add y on both sides in the second equation to get that 17 + y = x. Now, since we know that 17 + y is equal to x, we can substitute 17 + y in for x in the first equation. We get that 2y + 17 = 51, and if we subtract by 17 on both sides and get that 2y = 34. This means that y is equal to 17, meaning that x is 34.
For every 6 packages Cindy wraps, she uses 1.5 rolls of wrapping paper. If she uses 6 rolls, how many packages has she wrapped?
Answer:
for every 3 packages, she uses 1/2 a roll of wrapping paper
if she uses 2 1/2 rolls.....
(2 1/2) / (1/2) ....* 3
(5/2) / (1/2).....* 3
(5/2 * 2) * 3
5 * 3 =
15 packages <===
Step-by-step explanation:
Answer:
24 packages
Step-by-step explanation:
6/1.5 = 4
4 x 6 = 24
Riley collects rainwater in a large barrel that weighs 15 pounds. When there are 8 gallons of water in the barrel, the total weight is 73.8 pounds. When there is 20 gallons of water in the barrel, the total weight is 162 pounds. Write the equation that models this situation in slope intercept form.
179 pounds
Step-by-step explanation:
yan po makatulong po yan thank you
please help me on this will give you brainliest!!
Answer:
The measure of angle 6 is 72.
The measure of angle 7 is 108.
Step-by-step explanation:
Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.
If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.
What two numbers multiply to -16 and add up to 0?
Answer:
-4 and 4
Step-by-step explanation:
Negative x Positive = Negative
-4 x 4 = -16
-4 + 4 = 0
what is GST?
answer fast
Answer:
Goods Serivces Tax
Step-by-step explanation:
simplify the expression x\cdot\sqrt[3]{y^{6}}+y^{2}\cdot\sqrt[3]{x^{3}}
Answer:
20.8853
Step-by-step explanation:
you can't do that cause these no words in expressions
Answer:
12\sqrt{x^{2}\cdot y^{9}}
Step-by-step explanation:
Please help!!!!!!! Tyyy!!!!!!!!!
Expand 2/3(x+12)
Expand -4/5(-x+25)
Answer:
2/3 x X + 2/3 x 12
-4/5 x -X + -4/5 x 25