Answer:
You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.
Step-by-step explanation:
Answer:
you can't simplify the number 7
x-intercept (0,-7)
Y-intercept (2,0)
Are my answers right ?
Well the numbers are right, but not the order.
First the x-intercept is (-7,0) not (0,-7) ---- It's (x,y) though ---------
Second the y-intercept is (0,2) not (2,0)
You got them swapped but the numbers are correct anyway.
Use the Binomial Theorem/Pascal's Triangle to expand (2a + 2b)^5
Answer:
32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5
============================================================
Explanation:
Let's use Pascal's Triangle
In the row that starts with 1,5,... we have the values 1,5,10,10,5,1
These will be the coefficients of the terms.
Let x = 2a and y = 2b
We want to expand out (x+y)^5
Using pascals triangle, we get the following expansion
(x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5
The numbers in bold are the coefficients 1,5,10,10,5,1 found earlier.
Note how the exponents for x start at 5 and count down to 0; while the y exponents start at 0 and count up to 5. For any term, the x and y exponents always add to 5 for the expansion of (x+y)^5. In general, the exponents of any term will add to n for (x+y)^n.
At this point, we plug in x = 2a and y = 2b
Since this will clutter things a bit, I'll do it term by term
1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^55x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^210x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^35x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^41x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5So in the end, the expression (2a+2b)^5 expands out to
32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5
The binomial theorem uses the same basic idea, but instead of using Pascal's Triangle to get the coefficients, you'll use the nCr combination formula.
Answer: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex].
Using Pascal's triangle we get:
[tex](x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5[/tex]
Here, x = 2a and y = 2b
So the terms become:
[tex]1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^5\\5x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b\\10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^2\\10x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^3\\5x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^4\\1x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5\\[/tex]
Hence: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex]
Learn more: https://brainly.com/question/13769924
Evaluate |x^2 +9x| at x = -4
what is the following sum ?
Jackie won tickets playing the bowling game at the local arcade. The first time, she won 6 tickets. The second time, she won a bonus, which was 4 times the number of tickets of the original second prize. Altogether she won 200 tickets. How many tickets was the original second prize?
Answer:
it might be 48 tickets.
find the slope of the line through (4,1) and (6,3)
Tristan made 98 bracelets in 7 hours and Denita made 56 bracelets in 4 hours. These rates are equivalent because they have the same _____ .
A) unit rate
B) ratio
C) rate
Answer:
A) unit rate
Hope this helps
When 3(2x + 5) is added to 2(2x − 4) the resulting expression is?
Answer:
10x + 7
Step-by-step explanation:
3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)
Remember PEMDAS
P – Parentheses (distribution)
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
First, we will distribute the left side.
3(2x + 5)
3 * 2x = 6x
3 * 5 = 15
Add them together to get:
6x + 15
6x + 15 + 2(2x - 4)
We must now distribute the right side.
2 * 2x = 4x
2 * -4 = -8
Add them together to get:
4x -8
We now have:
6x + 15 + 4x - 8
Let's combine like terms.
6x and 4x are like terms.
Combine: 6x + 4x = 10x
15 and -8 are like terms.
15 - 8 = 7
Now we have 10x + 7
Since 10 and 7 don't have any GCF, we have our answer.
10x + 7
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Math Enthusiast
Is this relation a function? Justify your answer.
10
9
8
7
B
5
4
.
3
2
1 2 3 4 5 6 7 8 9 10 11
A. Yes, because every x- and y-value is positive.
OB. No, because two points with the same x-value have different ya
values,
OC. Yes, because the number of x-values is the same as the number o
y values
D. No, because two points with the same y-value have different x-
values
Answer:
B
Step-by-step explanation:
Eveey input must have exactly one output, x is always the input and y is the output and there are two y outputs on one x input so it is not a function.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Please help due tn I need this done
Dave wants to put a row of tiles in his kitchen. The row has to be 3 meter long. Each tiles is a square, with 25 cm sides. How many tiles does he need?
Answer:the answer is b or c
Step-by-step explanation:
NEED ANSWER ASAP THE TEST IS TIMED!!!!!!!
Find the slope of the line that contains the two points (6, -2) and (-3, 1).
Answer:
5/-1
Step-by-step explanation:
y1-y2/x1-x2
5x - 2y = 26 y + 4 = x
-2x + 3(-4x + 6) =116
What is it
If two thirds of a number is 56, what is three- quarters of that number?
Answer:
63
Step-by-step explanation: Let n represent the number. If two third of n = 56, n must be 56 times the reciprocal of 2/3 (3/2) 56 time 3/2 = 84. three quarter of 84 is 84 times 3/4 = 63
Need help fast with my work
Answer:
-25
Step-by-step explanation:
Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (0,6) and -1
Answer:
Can't tell
Step-by-step explanation:
Hear me out. There is no graph hear, so I can't answer. Just letting you know
Whitney's bill at a diner came up to $26.00. What would her total be if she included a 20% tip?
Tax using the percent equation.
Katie Haddad earns $394 per week. She is married and
claims 3 children as dependents. The state tax rate in Haddad's
state is 2% of taxable income. What amount is withheld from
her weekly pay for state income tax?
Answer:
$78.8
Step-by-step explanation:
Please help me I will really appreciate it!!!
it is equal to the third one for sure
Edward wanted to buy a skateboard. The original price of the skateboard was $90. The store was having a sale where everything in the store was markdown 35%, or 35% off. What was the price of the skateboard after the markdown or discount?
Answer:
$58.5Step-by-step explanation:
Step one:
Given data
original price of Skate board= $90
Also there was a 35% discount on the original price.
the idea now is to find what 35% of $90 is.
=(35/100)*90
=0.35*90
=31.5
hence 35% of $90 is $31.5, the discounted price is $31.5
Step two:
The markdown price is the original price- the discounted price
90-31.5= $58.5
Therefore the price of the skateboard is $58.5
Plz help me with this question
Answer:
123
Hope this helped!
Positive negative or no correlation?
Answer:
positive correlation
Answer:
animal
Step-by-step explanation:
simplify 5a+7b-12a+6c-13b-22a+53c
Answer:
−29−6+59
Step-by-step explanation:
Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs
Answer:
Always true
Step-by-step explanation:
Here, we want to evaluate if the given statement is true
The discriminant D can be calculated using the formula;
b^2 - 4ac
if D is greater than 0, then we will have only real roots
In a case where a and c are of opposite signs;
then -4ac will always give a positive value which can be added to b^2
This positive value will ensure that D is greater than zero and hence we can have only real roots
So this assertion is always true if a and c are of opposite signs
............................... 6/2(1+2)
Answer:
9
Step-by-step explanation:
6/2(1+2)
=3*3
=9
Answer:
6
Step-by-step explanation:
6/2 is 3 and 1+2 is three and 3 + 3=6
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer:
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
Given that f(-3) = 4 and f'(-3) = 2, which of the following is the tangent line
approximation of f(-3.1)?
Answer:ask mj
Step-by-step explanation:
what is the solution for x in the equation?
Answer:
x = 5/2 is the answer to the question
Simplify:
(-9x) - (7+3x)
A) -12x
B) -12 + 7
C) -12x - 7
D) -x - 7
Answer:
C.)-12x-7
Step-by-step explanation:
-9x-7+3x
-3x -3x
-12x-7
Answer:
The solution is C) -12x - 7
Step-by-step explanation:
(-9x) - (7+3x)
= -9x-3x-7
= -12x - 7
