Answer:
10/3
Step-by-step explanation:
[tex]x = \frac{10}{3} [/tex]Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Help please fast ahh
Answer:
the 2nd one
Step-by-step explanation:
-12 may be more in positive numbers but it is less in negative numbers
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
Tyler has $4.50 in a bank in his bedroom. Each day he adds $1.50 to it. Which equation can be used to find out how many days it will take for Tyler to save $30.00?
a
4.5 + 1.5x = 30.00
b
(4.5 + 1.5)x = 30.00
c
30.00 + 4.5 = 1.5x
d
4.5 × 1.5 × x = 30.00
Answer:
A
Step-by-step explanation:
I’ll give Brainliest✨
Solve for w
3 - 2w + 4w = 7?
Answer:
=2
Step-by-step explanation:
Answer:
w= 2
Step-by-step explanation:
3-2w+4w=7. We move all terms to the left: 3-2w+4w-(7)=0, Then we add all the numbers together, and all the variables: 2w-4=0. After, we move all terms containing w to the left, all other terms to the right: 2w=4, w=4/2
w=2
Determine the equation of the line given by the graph
A) y-3x+2
B) y=3x-2
C) y=1/3x+2
D) y=1/3-2
Answer:
y=3x-2
Step-by-step explanation:
An online clothing company sells custom sweatshirts. The company charges $ for shipping plus $ for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Complete question :
An online clothing company sells custom sweatshirts. The company charges $4.99 for shipping plus $7.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Answer:
y = 7.50x + 4.99
Step-by-step explanation:
Given that :
Shipping fee = 4.99
Cost per shirt = 7.50
Writing the relation in the form of a linear equation :
General form of a linear function :
y = mx + c
Where m = slope ; c = intercept
The total cost of ordering x sweatshirts :
y = (cost per sweatshirt * number ordered) + shipping fee
y = 7.50x + 4.99
Answer:
the answer is $7.99
Step-by-step explanation:
can someone please help me with this whole page asap !!!
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8
Answer:
Step-by-step explanation:
The slope of the line is m = -5
4 is your x1
-3 is your y1
Plug into the equation y - y1 = m(x - x1)
y + 3 = -5(x - 4)
y + 3 = -5x + 20
-3 -3
y = -5x + 17
gn=3⋅2^n-1
what is the 10th term
Answer:
ehh
Step-by-step explanation:
Helppp ahhhhhhhh. Plzzzz
Answer:
15-67X/30X
Step-by-step explanation:
How do I solve 2-2|7+2x|=0
Answer:
x=-3
x=-4
Step-by-step explanation:
-2|7+2x|=-2
|7+2x|=1
7+2x=1
x=-3
7+2x=-1
x=-4
what is 2x ( 40+30) x4
Answer:
560
Step-by-step explanation:
2 x (40+30) x 4
2 x 70 x 4
560
hope this helps, pls mark brainliest :D
560
Step-by-step explanation:
2 x (40+30) x 4
2 x 70 x 4
560
Type the correct answer in each box. Use numerals instead of words. Consider this expression.
What expressions is equivalent to the given expression?
Answer:
-4x. 2. 5+5x.
each of them should be filled in different boxes
The solution of the given equation will be (-4)x² + (-3x) + (- 5).
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 3 and coefficient of x² is not zero
Given,
⇒ -4x² - 2x - 5( 1 + x )
⇒ -4x² - 2x - 5 - 5x
⇒ (-4) x² + (-3) x + (- 5).
Hence (-4)x² + (-3x) + (- 5) will be the correct answer for the given expression.
For more about the quadratic equation,
https://brainly.com/question/17177510
#SPJ2
Is the equation y=0.07 + 348 proportional or not
Answer:
no
Step-by-step explanation:
it does not have any (0,0) value
Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages of large balloons. Select all the apply.
A. 12 – p
B. 12 × p
C. p + 12
D. p ÷ 12
E. 12p
please help!!✨✨✨ this is due soon!!!!
Answer:
da
Step-by-step explanation:
Answer: I believe it's / option 3: 6 gallons of white paint.
Solve linear equations
Solve for x
3х – 10 = 16
Answer:
x=26/3
Step-by-step explanation:
3x-10=16
add 10 to both sides
3x=16+10
simplify
3x=26
divide both sides by 3
x=26/3
If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).
A. (f – g)(x) = –5x + 3x – 2
B. (f – g)(x) = 5x – 3x + 2
C. (f – g)(x) = –2x – 2
D. (f – g)(x) = –5x – 3x – 6
Answer:
C. -2x - 2
The picture shows the work I did to get the answer.
Hope this helps!
helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee
Answer: I think the answer is x = 4
Step-by-step explanation: 28 = 7x
/7 /7
4 = x
Please help if you help thank you so much
Answer:
All answers apply
Step-by-step explanation:
Although it may seem like it doesnt, the absolute value of -12 is just 12, which ends up still being less than 14.
Absolute value takes away the negative and leaves positive number as a result.
Answer:
all of them since it's absolute value all numbers are below 14
PLEASE HELP ASAP!!!!
Answer:
The correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
Step-by-step explanation:
Interest earned from Account A = $ 4.50
Interest earned from Account B = $22.50
Time t = 18 months
Interest rate for Account A = 2%
Interest rate for Account B = 5%
We need to find which account has greater principal
The formula used to calculate principal is: [tex]Interest=Principal\times r \times t[/tex]
where r is rate and t is time
Finding Principal for Account A:
Interest earned from Account A = $ 4.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 2% = 0.02
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\4.50=Principal\times0.02\times1.5\\Principal=\frac{4.50}{0.02\times1.5} \\Principal=\frac{4.50}{0.03} \\Principal=150[/tex]
So, The Principal Amount for Account A = $150
Finding Principal for Account B:
Interest earned from Account B = $ 22.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 5% = 0.05
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\22.50=Principal\times0.05\times1.5\\Principal=\frac{22.50}{0.05\times1.5} \\Principal=\frac{22.50}{0.075} \\Principal=300[/tex]
So, The Principal Amount for Account B = $300
So, the correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
s this true or false? The following graph represents a proportional relationship:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8,10. The values on the y axis are 4, 8, 12, 16, and 20. Points are shown on ordered pairs 0, 0 and 2, 4 and 4, 8 and 6, 12 and 8, 16. These points are connected by a line. The label on the x axis is Bunches of Parsley. The title on the y axis is Price of Bunches.
True
False
Answer:
TRUE
Step-by-step explanation:
Answer:
THE ANSWER IS TRUE
.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee
Answer:
Step-by-step explanation:
.6(2k-3)=3(4k+5) foil
1.2K-1.8=12k+15 subtract 1.5k from both sides
-1.8=10.8k+15 subtract 15 from both sides
-16.8=10.8k divide by 10.8
k= -1.5
rosa and her friends are eating out for dinner. the bill was $30.12. they want to leave a 19% tip.
what is her total cost?
Answer:
35.84
Step-by-step explanation:
You would take 19% of 30.12$ by doing 30.12x0.19 to get 5.72.
you then add 5.72 to 30.12 to get your total of 35.84$
Create an equivalent expression without parentheses
-2(3x+4)
Answer:
-6x - 8
Step-by-step explanation:
-2(3x+4) = -6x - 8
this means the -6x - 8 is equivalent
[tex]cos {}^{4} α+sin {}^{4} α= \frac{1}{4} (3+cos4α)
Prove:
Given:
[tex]\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)[/tex]
To prove:
The given statement.
Proof:
We have,
[tex]\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)[/tex]
[tex]LHS=\cos^4 \alpha+\sin^4\alpha[/tex]
[tex]LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2[/tex]
[tex]LHS=(\cos^2 \alpha+\sin^2\alpha)^2-2\sin ^2\alpha\cos^2 \alpha[/tex] [tex][\because a^2+b^2=(a+b)^2-2ab][/tex]
[tex]LHS=(1)^2-2(1-\cos^2 \alpha)\cos^2 \alpha [/tex] [tex][\because \cos^2 \alpha+\sin^2\alpha=1][/tex]
[tex]LHS=1-2\cos^2 \alpha+2\cos^4 \alpha [/tex]
Now,
[tex]RHS=\dfrac{1}{4}(3+\cos 4 \alpha)[/tex]
[tex]RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)][/tex] [tex][\because \cos 2\theta=2\cos^2\theta -1][/tex]
[tex]RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha][/tex]
[tex]RHS=\dfrac{1}{4}[2+2(2\cos^2 \alpha-1)^2][/tex] [tex][\because \cos 2\theta=2\cos^2\theta -1][/tex]
[tex]RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)][/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]RHS=\dfrac{1}{4}[2+8\cos^4 \alpha-8\cos \alpha+2][/tex]
[tex]RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha][/tex]
[tex]RHS=1+2\cos^4 \alpha-2\cos \alpha[/tex]
[tex]RHS=1-2\cos^2 \alpha+2\cos^4 \alpha [/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Expand and simplify
(x - 5)(x - 2)
Answer:
=[tex]x^{2}[/tex]−7x+10
i need help fast plsss
Solve for m.
94 = 31 + 7m
Answer:
M = 9
Step-by-step explanation:
94 = 31 + 7m
63 = 7m
9 = m
Hope this helps. Pls give brainliest.
