Answer: x^2+6x+9
Step-by-step explanation:
this will factor out to
X^2+6x+9
Answer:
x^2 + 6x + 9
Step-by-step explanation:
This is asking for (x+3) (x+3)
Using the FOIL method
(x * x) First, x times x
+ 3x Outside, x times 3
+ 3x Inside, x times 3
+ 9 Last, 3 times 3
Therefore, we have
(x*x) + 3x + 3x + 9
And simplified
x^2 + 6x + 9
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
The answer is 24. First 1128 - 72 equals 1056 then divide by 43 which equals 24.55 but u cant buy 24.55 VD so its just 24
Step-by-step explanation:
Simpify 3^2 times 3^5
This is equivalent to 2187 if you were to evaluate 3^7 with a calculator.
============================================================
Explanation:
The rule you use is
[tex]a^b*a^c = a^{b+c}[/tex]
When we multiply exponential expressions with the same base, we add the exponents. The base stays the same.
So,
[tex]3^2*3^5 = 3^{2+5} = 3^7[/tex]
If the bases were different, then you cannot use this rule.
Answer:
Ok!
Step-by-step explanation:
So I’m guessing 3^2 means 3x3 basically! If I’m wrong pls correct! Anyways, so you wanna write the equation like so: (3^2) + (3^5). Next, do 3^2 which gets you 9. Then, do 3^5 which gets you 243. I know, it’s confusing haha. Now, add those two together & u get 252! There ya go, hoped it helped (:
Write a quadratic equation in vertex form (use y = a(x - h)^2 +
k) that has a vertex of (-1, 7) and passes through the point (3,
39).
answer this i have a test rn please
How do you break apart the factor 42 using place value?
Hey there!☺
Let's break apart 42.
The 4 is in the tens. The 2 is in the ones.
Place Value starting from Thousands
Thousands Hundreds Tens Ones
_________ ________ ____ _____
4 2
So this is how we break up numbers using place value.
Hope this helps!
The number can be broken apart from the factor 42 using the place value as 40 + 2 here 4 is in the tens place and 4 is in the one's place.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 42.
As we know,
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
42 = 40 + 2
42 = 4x10 + 2x1
Thus, the number can be broken apart from the factor 42 using the place value as 40 + 2 here 4 is in the tens place and 4 is in the one's place.
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The cost C(in dollars) of making n watches is represented by c=15n + 85. How many watches are made when the cost is $385?
Answer:
20
Step-by-step explanation:
385=15n+85
-85 -85
300=15n
/15 /15
20=n
Can anyone please help
[tex]\text{Hi there! :)}[/tex]
[tex]\large\boxed{f'(2) = -\frac{16}{27} }[/tex]
[tex]f'(x) = \frac{(5 + x^{2} )(-2x) - (7 - x^{2} )(2x)}{(5+x^{2})^{2} } \\\\f'(x) = \frac{-10x-2x^{3}- 14x + 2x^{3} }{(5+x^{2})^{2} } \\\\f'(x) = \frac{-24x}{(5+x^{2})^{2} }\\\\ \text{Solve for the derivative at f'(2) using substitution:}\\\\f'(2) = \frac{-24(2)}{(5+2^{2})^{2} } \\\\f'(2) = \frac{-48}{81} \\\\\text{Simplify:}\\\\f'(2) = -\frac{16}{27}[/tex]
Answer:
1) [tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]
2) [tex]f'(2)=-\frac{16}{27}[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{7-x^2}{5+x^2}[/tex]
And we want to find f'(x).
To do so, we can use the quotient rule.
So, let's take the derivative of both sides:
[tex]\frac{d}{dx}[f(x)]=\frac{d}{dx}[\frac{7-x^2}{5+x^2}][/tex]
Remember that the quotient rule is:
[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]
In our equation, f is (7-x^2) and g is (5+x^2).
So, using the quotient rule, our derivative f'(x) is:
[tex]f'(x)=\frac{\frac{d}{dx}[7-x^2](5+x^2)-(7-x^2)\frac{d}{dx}[5+x^2]}{(5+x^2)^2}[/tex]
Differentiate:
[tex]f'(x)=\frac{(-2x)(5+x^2)-(7-x^2)(2x)}{(5+x^2)^2}[/tex]
Simplify. Distribute in the numerator:
[tex]f'(x)=\frac{(-10x-2x^3)-(14x-2x^3)}{(5+x^2)^2}[/tex]
Distribute:
[tex]f'(x)=\frac{(-10x-2x^3)+(-14x+2x^3)}{(5+x^2)^2}[/tex]
The cubed terms cancel. This leaves:
[tex]f'(x)=\frac{(-10x)+(-14x)}{(5+x^2)^2}[/tex]
Add. So, our derivative is:
[tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]
To find f'(2), simply substitute 2 into our derivative. So:
[tex]f'(2)=-\frac{24(2)}{(5+(2)^2)^2}[/tex]
Multiply and square:
[tex]f'(2)=-\frac{48}{(5+4)^2}[/tex]
Add:
[tex]f'(2)=-\frac{48}{(9)^2}[/tex]
Square:
[tex]f'(2)=-\frac{48}{81}[/tex]
Reduce by 3:
[tex]f'(2)=-\frac{16}{27}[/tex]
And we're done!
Nick mowed about 5/8 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. How much is left to mow? *Write your answer as a decimal.
Answer:
1/8 of the lawn is left to mow. As a decimal this would be 0.125.
Step-by-step explanation:
Convert 1/4 to eighths, by multiplying the whole fraction by 2. The fraction would thus be 2/8. Add 5/8 and 2/8 and you know that he has mowed 7/8 of the yard, which means he now has 1/8 left to mow.
PLEASE HELP IM IN A HURRY
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
Answer:
The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
Step-by-step explanation:
Hope I could help!
Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle. What was the smallest angle made in her trip?
It is at the gas station.
It is at Lucy’s home.
It is at the post office.
It depends on the direction Lucy is traveling.
Answer:
A. It is at the gas station
Step-by-step explanation:
Answer:
A is correct E2022
Step-by-step explanation:
4.3 X.. X 4.3 =
13 times
Please help!!
Name a pair of complementary angles in the diagram above.
A. 1 and 2
B. 2 and 3
C. 4 and 5
D. 7 and 9
Answer:
Step-by-step explanation:
the product of three negative is _________ integer
Simplify the expression.
4f8 +39) + 5g
Answer:4f^8+5g+39
Step-by-step explanation:
Which equation is an example of the commutative property of multiplication? (4 + 2i) = (2i + 4) (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) (4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1) (4 + 2i) = (4 + 2i + 0)
Answer: b. (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
Step-by-step explanation:
i took the test
The commutative property is shown by (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i).
What is the commutative property of multiplication?If we alternate the order of the numbers we're multiplying, the product does not change, this is the commutative property of multiplicationConsidering two real numbers a and b, the commutative property of multiplication of these two numbers will show: ⇒ a × b = b × aComplex number (a + bi) also shows the commutative property of multiplication. ⇒ (a + bi) = (bi + a)In the first option, it is given that:
(4 + 2i) = (2i + 4)
In this we can see that there is no multiplication between two complex numbers instead, it shows the addition. Hence this shows the commutative property of addition.
In the third option, it is given that:
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)
Here we can see that there is multiplication between the two complex numbers but the order of multiplication is same on both the sides, hence this does not show the commutative property of multiplication.
In the fourth option, it is given that:
(4 + 2i) = (4 + 2i + 0)
We can clearly see there is no multiplication in this equation, hence this does not follow the commutative property of multiplication.
In the second option, it is given that:
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
Here we can see that, there is multiplication between two complex numbers and the order of multiplication is also different on one side, this clearly follows the commutative property of multiplication.
Therefore, the second option i.e. (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) is the correct example of the commutative property of multiplication.
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if the fraction is 16/10 what can it be lowered to as a fraction
Answer:
[tex]\large\boxed{5/8}[/tex]
Step-by-step explanation:
16/10
We need to keep the fraction, but still simplify.
We can do this by dividing both the numerator by the same amount
Let's start with 2
(16 ÷ 2) / (10 ÷ 2)
8/5
This fraction is now in lowest terms, it cannot be simplified anymore as not whole number goes into both 5 and 8 evenly.
[tex]\large\boxed{5/8}[/tex]
Let me know if you have any questions about my answer!
(Please help me with this, I really need to pass my work. Thank you all!)
Evaluate each fractional expression Show appropriate work.
1. 3/5 +1/2
2. 2/3-1/6
3. 3/16+3/8
4.-13/8-3/4
5. 1/2(3/4)
6. ―5/12÷45/32
7. 16/21÷(12/27)
8. 24(7/18)
Exponents rewrite in expanded form
9. 3x^2y^3
10. 4^3x^5
11. [3 + (x – y)]^2
12. (2/5x^2)^3
Evaluate each exponential
13.(3/5)^2
14.(-5)^3
15. (2)^3
PEMDAS Show appropriate work for full credit.
16. 20―[4^2÷(2+14)]+5/4^2―13
17.3^2(10) – 6^2 ÷ 12
18. 2(7)+2^3/3^2―7
19.(4^2―5)÷(3―5)
Answer:
i'll try to help you as much as i can
1) 11/10
2) 1/2
3) 9/16
4) 7/8
im awfully sorry but thats all i know
How many solutions exist for the system of equations in the graph?
One
Two
Three
Four
Answer:2
Step-by-step explanation:
It goes through two points
Answer:
b
Step-by-step explanation:
Which statement about the following equation is true
Options: A. The equation -3|2x + 1.2| = -1 has no solution
B. The equation 3.5|6x - 2| = 3.5 has one solution
C. The equation 5|-3.1x + 6.9| = -3.5 has two solutions
D. The equation -0.3|3 + 8x| = 0.9 has no solution
The correct answer is D. The equation -0.3|3 + 8x| = 0.9 has no solution
Step-by-step explanation:
I just took the test and got 100%
Sarianna is saving up to but a pet lizard. The lizard costs $12.35, the food costs $8.40, and the cage costs $26. If she has $20,
how much more money does she need to save?
Answer:
26.75
Step-by-step explanation:
One box of printer paper has 3 X 10^2 sheets of paper. Another box has 10^3 sheets of paper. What is the TOTAL number of sheets in BOTH boxes.
Answer:
1,300
Step-by-step explanation:
The Total number of sheets in both boxes are 1,300.
What is addition?Addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers.
Now the given number of sheets in first box = 3 x 10^2 = 300
Given number of sheets in the second box = 10^3 = 1,000
Now to find the total number of sheets in both boxes,
Total number of sheets in both boxes
= sheets in first box + sheets in the second box
⇒Total number of sheets in both boxes = 300 + 1,100
⇒Total number of sheets in both boxes = 1,300
Hence,The Total number of sheets in both boxes are 1,300.
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Mrs. Cook is a teacher whose salary is $23,125 for a 185-day school year. In Mrs. Cook's school district, substitute teachers are paid at a rate of $90 per day. If a substitute is paid to teach Mrs. Cook's class in her absence one day, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mrs. Cook for that day? *
Answer:
$90
Step-by-step explanation:
Off course the school district will pay in salary by $90 less.
Kimberly went to a restaurant with 2 friends. Their meal cost $75, and they left a 18% tip. How much was the total bill, including tip
Answer:
13.5
Step-by-step explanation:
Simply, multiply 75x0.18 = 13.5
0.18 (being the percentage)
if the percentage tipped was 8% then you would multiply 75 by 0.08
A balloon flies at 250 ft above sea level. A fish swims at 50 ft below sea level. What is the difference between these elevations?
Answer:
300 ft
Step-by-step explanation:
250 + 50 = 300 ft
Since the fish is below water and the balloon is above water, you have to add them together to get the difference.
(I think. . .)
What is the volume of a piece of copper that is 25 g., and the density is 8.9 g/cm3?
Answer:
The answer is 2.81 cm³Step-by-step explanation:
The volume of a substance when given the density and mass can be found by using the formula
[tex]volume = \frac{mass}{density} \\[/tex]
From the question
mass = 25 g
density = 8.9 g/cm³
The volume is
[tex]volume = \frac{25}{8.9} \\ = 2.80898876...[/tex]
We have the final answer as
2.81 cm³Hope this helps you
YEET
Answer:
Yeet
Step-by-step explanation:
Yeet yeet yeet, yeet yeet. :D
Answer:
Yes, my kind sir.
Step-by-step explanation:
Too bad its not really lazer. if it is you put this in a vid.
Write the sum of 5x2 + 2x - 10 and 2x2 + 6 as a polynomial in standard form.
Answer:
7x^2+2x-4
Step-by-step explanation:
a standard form is ax+by=c
5x^2 add 2x^2=7x^2 then -2x but when you have a -10 +6 you get -4 giving you the answer of 7x^2 +2x -4
Answer:
7x^2 + 2x - 4
Step-by-step explanation:
First, combine like terms: Combine 5x^2 and 2x^2, obtaining 7x^2. Include the 2x term (there is no like term for this one) and combine -10 + 6, obtaining -4.
Then the sum of these two polynomials is
7x^2 + 2x - 4
Note: Use " ^ " to indicate exponentiation.
Which graph represents the function y = 2/3x -2.?
second one to the right
1.) find the quotient of 1,170 and 90
Answer: 13
Step-by-step explanation: 1170/90 = 13 because 13 x 90 = 1170.
Hope this helps!
Solve by completing the square: 4x^2 - 8x - 8 = 0
a) -2 + sqt. 2, -2 - sqt.2
b) 1 + sqt. 3, 1 - sqt. 3
c) 1 + sqt. 2, 1 - sqt. 2
d) -2 + sqt. 3, -2 - sqt.3
Answer: the correct answer is B 1+\/~3,1-\/~3
edge 2021-2022
Step-by-step explanation:
what is
5x3 divided by 15 + 15 - 15
Answer:
5 × 3 divided by 15 + 15 - 15 = 1.
