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3 years ago

Is 1, -5, -11, -17 a arithmetic or geometric

1 answer:

5 0

The sequence is an example of an arithmetic sequence. it’s going up by a constant rate, therefore it is linear. to be more specific, it’s decreasing by 6. the equation for this sequence would be

t(n)= -6n + 7

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Triangle DEF contains two congruent acute angles. The sum of the measures of the two

SpyIntel [72]

Answer:she is correct less than 90 degrees

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

a shop recorded total sales of $2000 on Monday. On Tuesday it's Salesville by 10%. On Wednesday Salesville by another 20% compar

Sloan [31]

10/100 x 2000 = 200 2000-200 = 1800 then it decreases by 20% so 20/100 x 1800 = 360 1800-360 = 1440 im not sure about this part 25% of 2000 25/100 x 2000 = 500 so 1440 + 500 = 1940

6 0

3 years ago

Pls help and show all answers pls!! I will mark brainiest!!! Plsss!

MrRa [10]

Answer:

(3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 1

2x + 4y = 26

Step 2: Solve for x

Substitution

Substitute in y: 2x + 4(2x - 1) = 26
Distribute 4: 2x + 8x - 4 = 26
Combine like terms: 10x - 4 = 26
[Addition Property of Equality] Add 4 on both sides: 10x = 30
[Division Property of Equality] Divide 10 on both sides: x = 3

Step 3: Solve for y

Define equation: y = 2x - 1
Substitute in x: y = 2(3) - 1
Multiply: y = 6 - 1
Subtract: y = 5

6 0

3 years ago

What are the exact steps to solve for the x-intercepts of f(x)= −4x2 + 4x + 8? What about −9 = x2 + 6x? Please explain thoroughl

victus00 [196]

Answer:

x-intercepts: (-1, 0) and (2, 0)

x-intercept: (-3, 0)

Step-by-step explanation:

Given quadratic function:

$f(x)=-4x^2+4x+8$

The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0

Therefore, to find the x-intercepts of the given function, set the function to zero:

$\implies -4x^2+4x+8=0$

Factor out -4:

$\implies -4(x^2-x-2)=0$

Divide both sides by -4

$\implies x^2-x-2=0$

Rewrite the middle term as -2x + x:

$\implies x^2-2x+x-2=0$

Factor the first two terms and the last two terms separately:

$\implies x(x-2)+1(x-2)=0$

Factor out the common term (x - 2):

$\implies (x+1)(x-2)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}$

Therefore, the x-intercepts are (-1, 0) and (2, 0).

---------------------------------------------------------------------------------------

Given quadratic equation:

$-9 = x^2 + 6x$

Add 9 to both sides:

$\implies x^2+6x+9=0$

Rewrite the middle term as 3x + 3x:

$\implies x^2+3x+3x+9$

Factor the first two terms and the last two terms separately:

$\implies x(x+3)+3(x+3)=0$

Factor out the common term (x + 3):

$\implies (x+3)(x+3)=0$

$\implies (x+3)^2=0$

Square root both sides:

$\implies (x+3)=0$

Solve for x:

$\implies x=-3$

Therefore, the x-intercept is (-3, 0).

As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.

3 0

2 years ago

The average attendance at a local high school this year was 950 students. Each year the attendance decreases at a rate of 5% per

o-na [289]

Answer:

Number of students= 820.64 = 821

Step-by-step explanation:

Giving the following information:

Current attendance= 950 students

Number of periods= 3 years

Decrease rate= 5%

To calculate the number of students in attendance in 3 years, we need to use the following formula:

Number of students= current attendance*(1+decrease rate)^(-n)

Number of students= 950*(1.05^-3)

Number of students= 820.64 = 821

5 0

3 years ago