Answer:
-30n+42
Step-by-step explanation:
You have to use distributive property.
Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.
I hope this helps!
Could I get brainliest? ✨
The simplified form of 6(-5n + 7) is -30n + 42.
To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.
In this case, we have 6 multiplied by the expression (-5n + 7).
Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.
So, combining these results, we get -30n + 42.
This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.
Therefore, 6(-5n + 7) simplifies to -30n + 42.
To learn more about the expression;
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Connor invested $59,000 in an account paying an interest rate of 2.6%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the account after
10 years?
Answer:
$76,518.88
Step-by-step explanation:
continuous interest
pe^(rt)
we have
59000e^(.026*10)
76518.88
jamie has 7 candles each a different color, how many ways can she arrange them in a candelebra that hold 3 canles
help please will give brainliest
Answer:
[tex]\frac{40}{27}[/tex]
Step-by-step explanation:
We need to evaluate the sum of the following finite geometric series.
We need to define r and [tex]a_{n}[/tex]
[tex]r = 1/3[/tex]
[tex]a_{n} =(\frac{1}{3} )^{n-1}[/tex]
Follow the geometric sequence sum formula and substitute :
[tex]1*\frac{1-(\frac{1}{3})^4 }{1-\frac{1}{3} }[/tex]
Simplify :
[tex]1 * \frac{3*\frac{80}{81} }{2}[/tex]
Get rid of the 1 :
[tex]\frac{3*\frac{80}{81} }{2}[/tex]
Multiply the numerators :
[tex]\frac{\frac{80}{27} }{2}[/tex]
Move the denominator of the fraction in the numerator and move it to the denominator of the whole fraction :
[tex]\frac{80}{27*2}[/tex]
Multiply the denominators :
[tex]\frac{80}{54}[/tex]
Simplify by dividing both the numerator and denominator by 2 :
[tex]\frac{40}{27}[/tex]
Find cos(B) A.) 7/3 B.) 3/7 C.) 3/58 D.) 7/58
25-year-old patient receives the following medication dosages daily: 1.5 milligrams, 2.25 milligrams, and 0.75 milligrams. What is his total dosage?
Answer:
Step-by-step explanation:
4.45
1.5 + 2.25 + .75 = 4.45 milligrams
If (x + 1)(x - 3) = 12, then which of the following statements is true?
x+1=0 or X-3=0
X +1 = 12 or X - 3 = 12
OX-5 = 0 or x + 3 = 0
Answer:
x=−3 or x=5
Step-by-step explanation:
evaluate 9.3s+8.9t when s=3 and t=4
Answer:
63.5
Step-by-step explanation:
9.3(3)+8.9(4) = 63.5
substitute the values (s and t) with the given numbers (3 and 4.)
Answer:
63.5
Step-by-step explanation:
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
Answer:
[tex]f(x) = -1[/tex]
[tex]g(x) =6[/tex]
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
[tex]P = \frac{9x + 11}{6x^2 + 23x + 21}[/tex]
And the decomposition is:
[tex]\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
The solution is as follows:
[tex]P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Substitute the expression for P
[tex]\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Expand the numerator of the polynomial
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Take LCM
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}[/tex]
Cancel out both denominators
[tex]9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)[/tex]
Represent f(x) as A and g(x) as B
[tex]9x + 11} = A*(3x + 7) + B*(2x + 3)[/tex]
Open bracket
[tex]9x + 11} = 3Ax + 7A + 2Bx + 3B[/tex]
[tex]9x + 11} = 3Ax + 2Bx+ 7A + 3B[/tex]
[tex]9x + 11} = (3A + 2B)x+ 7A + 3B[/tex]
By comparison:
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
Make B the subject in (1)
[tex]B = \frac{9 - 3A}{2}[/tex]
Substitute [tex]B = \frac{9 - 3A}{2}[/tex] in (2)
[tex]7A + 3(\frac{9 - 3A}{2}) = 11[/tex]
Multiply through by 2
[tex]2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2[/tex]
[tex]14A + 3(9 - 3A) = 22[/tex]
[tex]14A + 27 - 9A = 22[/tex]
Collect Like Terms
[tex]14A - 9A = 22-27[/tex]
[tex]5A = -5[/tex]
[tex]A = \frac{-5}{5}[/tex]
[tex]A = -1[/tex]
Recall that:
[tex]B = \frac{9 - 3A}{2}[/tex]
[tex]B = \frac{9 - 3 * -1}{2}[/tex]
[tex]B = \frac{9 + 3}{2}[/tex]
[tex]B = \frac{12}{2}[/tex]
[tex]B = 6[/tex]
A = -1 and B = 6
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
So:
[tex]f(x) = A[/tex]
[tex]f(x) = -1[/tex]
[tex]g(x) =B[/tex]
[tex]g(x) =6[/tex]
And the decomposition is:
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Aretha is rappelling down the side of a cliff. The graph shows her height above the ground in feet as a function of time in seconds as she descends. What is Aretha’s height above ground when she begins rappelling down? At!what rate does she descend?
Answer:
I believe in you and believe you can do it, keep up the great work :)
Step-by-step explanation:
Chicken wing
Chicken wing
Hot dog and baloney
Chicken and macaroni
Chillin with my homies
Plz help me!
-12 - 58 - (-34) =
-36 would be the answer
hope that helped :)
Answer:
-36
Step-by-step explanation:
-12-58-(-34) or -12-58+34
-70+34 or 34-70
subtract 70 from 34
-36
Hope this helps. Have a nice day you amazing bean child.
50 POINTS AND BRAINLEST
Which line is the graph of y=-2x+2
Answer:
line b
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going downhill) and a y-intercept of 2. Line b is the only line that matches this description.
Answer: Line B sir
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going down) and a y-intercept of 2. Line b is the only line that matches this description.
1.
Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
x^2+y^2+10x+12y+25=0x
2
+y
2
+10x+12y+25=0
Answer:
220^x=y will be the answer :)
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
Lara jogs 1\5 kilometer in 1\6 hour. What is Lara's rate in kilometer per hour?
Answer:
1 1/5 km/h
Step-by-step explanation:
1x6=6
Take the numerator and multiply denominator
Answer:
Step-by-step explanation:
Velocity is distance divided by time.
v=(km/5)/(hr/6)
v=(km/5)(6/hr)
v=(6/5)(km/hr)
v=1.2 km/hr
please help! due soon!
Answer:
its to blurry
Step-by-step explanation:
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
yeah ok
for every 16 basketball players in crystal county schools there are 48 soccer players. if the ratio remains constant and there are 64 basketball players how many soccer players are there
Answer:
16:48
64:192
Step-by-step explanation:
16:48
64:x
64/16=4
48 x 4=192
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
hello can you help me solve this inequality?
-7(-8k + 8) > 336
Answer:
k > 7
Step-by-step explanation:
Divide each term by − 7 and simplify.
-8k + 8 < -48
Move all terms not containing k to the right side of the inequality.
-8k < -56
Divide each term by − 8 and simplify.
k > 7
hope this helps :)
what is this ???? ??????????????
Answer:
I READY
Step-by-step explanation:
Solve the quadratic function by factoring
Y=x2-2x-48
Which ordered pair is a solution? Select all that apply
y + 3 = 4 (x - 7)
(5, 5)
(10, 9)
(8, 1)
(-1, 5)
Answer:
(10, 9) and (8, 1)
Step-by-step explanation:
you can just use substitution
If x is to 8 as 15 is to 12, then x equals...
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
What is the solution of the system of equations shown in the graph below?
A. (-1, 0) and (-3, 0) B. (0, 1) and (0, -3)
C. (-2, -1) D. (-1, -2)
Answer:
Step-by-step explanation:
d
Patrick had $10. Then, he saved $3.75 each week for 5 weeks. How much money does he have
now?
Answer:
Step-by-step explanation
$3.75x5=18.75
18.75+10=$28.75
Step-by-step explanation:
So he starts with 10. That would be our y-intercept. That means that 3.75 is the slope because he saves that amount of money each week. So the equation would be y = 3.75x + 10.
The x represents the number of weeks (5), so we will plug that into the equation (y = 3.75(5) + 10).
Multiply 5 and 3.75 to get 18.75
Add 10 to get 28.75
therefore the answer is 28.75I need help on this plz
Answer:
x = 3
Step-by-step explanation:
You can use cross multiply.
8x = 6 x 4
8x = 24
x = 3
Answer:
x = 3
Step-by-step explanation:
Multiply x by 8 to get 8x
Multiply 6 by 4 to get 24
Place 8x and 24 into an equation to get 8x = 24
Divide 8x and 24 by 8
The 8 from 8x is canceled out, leaving the answer:
x = 3
30 + 18 = 6(5 + ___)
Answer:
3
Step-by-step explanation:
30 + 18 = 48
5 + 3 = 8, 6 x 8 = 48
If this was helpful vote brainliest :)
angle 1 and 2 are complementary
angle 1 =x
angle2 = (3x+30)
Answer:
Angel 1 is 45
Angel 2 is the same
Step-by-step explanation: