Find the 93rd term of the arithmetic sequence -5, -15, -25, ...−5,−15,−25,...

The Answer: x = -2/7

Answer: x = 2/7 or 0.29

Step-by-step explanation:

- 2x - 12 = 5x - 10

- 2x - 5x = 12 - 10

- 7x = 2

x = 2/7 or x = 0.29

The decimal place is rounded up.

Step-by-step explanation:

The line is the y-axis, where x = 0.

Equation of the line: x = 0.

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Step-by-step explanation:

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Give the person above a brainliest

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Composite Functions

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -3x - 5 - (4x - 2)

Distribute -1:                 (f - g)(x) = -3x - 5 - 4x + 2

Combine like terms:    (f - g)(x) = -7x - 3

Answer:

[tex]\sin 2A + \csc 2A = 2.122[/tex]

Step-by-step explanation:

Let [tex]f(A) = \sin A + \csc A[/tex], we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

[tex]\csc A = \frac{1}{\sin A}[/tex] (1)

[tex]\sin^{2}A +\cos^{2}A = 1[/tex] (2)

Now we perform the operations: [tex]f(A) = 3[/tex]

[tex]\sin A + \csc A = 3[/tex]

[tex]\sin A + \frac{1}{\sin A} = 3[/tex]

[tex]\sin ^{2}A + 1 = 3\cdot \sin A[/tex]

[tex]\sin^{2}A -3\cdot \sin A +1 = 0[/tex] (3)

By the quadratic formula, we find the following solutions:

[tex]\sin A_{1} \approx 2.618[/tex] and [tex]\sin A_{2} \approx 0.382[/tex]

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

[tex]\sin A \approx 0.382[/tex]

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

[tex]A \approx 22.457^{\circ}[/tex]

Then, the values of the cosine associated with that angle is:

[tex]\cos A \approx 0.924[/tex]

Now, we have that [tex]f(A) = \sin 2A +\csc2A[/tex], we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

[tex]\sin 2A = 2\cdot \sin A\cdot \cos A[/tex] (4)

[tex]\csc 2A = \frac{1}{\sin 2A}[/tex] (5)

[tex]f(A) = \sin 2A + \csc 2A[/tex]

[tex]f(A) = \sin 2A + \frac{1}{\sin 2A}[/tex]

[tex]f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}[/tex]

[tex]f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}[/tex]

If we know that [tex]\sin A \approx 0.382[/tex] and [tex]\cos A \approx 0.924[/tex], then the value of the function is:

[tex]f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}[/tex]

[tex]f(A) = 2.122[/tex]

Answer:

$4.69

Step-by-step explanation:

$11.96/4 (because he bought 4 candles)

$2.99

each candle was $2.99 at the sale price

Now because the question is only asking for the amount of 1 candle before the sell price all you have to do is add $1.70 to $2.99 and you have your answer. Hope this helps!

Answer:

-2.5 km

Step-by-step explanation:

80 - 45= 35

35 / 14 sec. = 2.5

So if your decreasing it would turn that 2.5 into a negative.

Answer:it is 180

Step-by-step explanation:

Answer:

i do think its 15

Step-bep explanation:

put the 25 in halph and that how its 15

Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74

Answer:

K = ½

Equation: y = ½x

Step-by-step explanation:

✔️Constant of proportionality (k) = y/x

Using a point on the line, (2, 1),

k = ½

✔️Equation of a proportional relationship would be in the form of y = kx

To write an equation, substitute k = ½, into y = kx

Thus:

y = ½x

Answer:

I hope this makes you feel good :D

Tysm trystatroxtle278 for helping me notice my mistake!

Answer:

A

Step-by-step explanation:

=================================

Explanation:

The result of problem 7 is undefined because the matrices are not the same size. Both matrices must have the same number of rows, and they must have the same number of columns. This is so the terms match up when we add them. This applies to question 9 as well because subtraction is a form of addition.

For problem 8, we add the corresponding terms. So for instance, along the top we have -2+(-3) = -5 as the first entry in the top row. So that's why the answer is C for problem 8. Problem 10 and 11 are similar to this. Be careful to distribute the negative through to each term in the second matrix when subtracting matrices.

For problem 12, we multiply the outer 3 by each term inside the matrix. We end up with choice B.

Answer:

2, 4

Step-by-step explanation:

i just look at a graph

Answer:

the axis of symmetry

Step-by-step explanation:

Answer:

y=2x-10

Step-by-step explanation:

Original Equation: y=2x-7

Plug in (7,4) and keep the same slope bec line has to be parallel

b=-10

plug in b

y=2x-10

Answer:

The correct options for the solution values are:

Step-by-step explanation:

Given the expression

[tex]x^2+10x+25=8[/tex]

Subtract 25 from both sides

[tex]x^2+10x+25-25=8-25[/tex]

Simplify

[tex]x^2+10x=-17[/tex]

Add 25 or 5² to both sides

[tex]x^2+10x+5^2=8[/tex]

as

[tex]x^2+10x+5^2=\left(x+5\right)^2[/tex]

so the expression becomes

[tex]\left(x+5\right)^2=8[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x+5=\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=2\sqrt{2}-5[/tex]

[tex]x=2\sqrt{2}-5[/tex]

solve

[tex]x+5=-\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-2\sqrt{2}-5[/tex]

[tex]x=-2\sqrt{2}-5[/tex]

Therefore, the solution to the equation

[tex]x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5[/tex]

Hence, the correct options for the solution values are:

Answer:

2(5x – 1)

Step-by-step explanation:

Answer:

3x²y==

Step-by-step explanation:

Multiple the number

Answer:

A. 24  

Step-by-step explanation:

If we have two digits to multiply together, the multiplication of the individual digit of those number with each other whereby each digit retain its place is known as partial product.

From the given question, by applying the distributive property method, the partial products are:

24 × 69 = 24 × (60 + 9)  

open brackets

= (24 × 60) + (24 × 9)

By factorization

= 60 (20 + 4) + 9(20 + 4)

expanding the brackets, we get:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36   (These are the partial products)

= 1656

Answer:

B. 39°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Identify

Angle θ = y

Opposite Leg = 8

Adjacent Leg = 10

Step 2: Solve for y

Answer:

x = - 3

Step-by-step explanation:

g(x) = 4x + 1...... (1)

g(x) = -11.... (2)

From equations (1) & (2)

-11 = 4x + 1

-11 - 1 = 4x

-12 = 4x

-12/4 = x

-3 = x

x = - 3

Answer:-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

so you have to do PEMDAS

first parenthesis 6-1 is 5

then multiplication 5x4 is 20

the subtraction  23-20-2(5)

2x5=10

23-20=3

3-10=-7

Answer:

Step-by-step explanation:

The correct option is C.

Step-by-step explanation:

The width of the rectangular pen is

The length of the rectangular pen is

The perimeter of a rectangle is

Therefore the correct option is C.

Answer:hi:)

Step-by-step explanation:

The equation y = (x + 2)² + 3 represents the shown parabolic graph. The correct answer is option B.

The vertex of the parabola occurs at the point (-2, 3), which is the point where the parabola reaches its minimum value.

The term (x + 2)² indicates that the parabola is translated horizontally by 2 units to the left from the standard vertex form of a parabola.

The "+3" term indicates that the parabola is translated vertically by 3 units upward.

Hence, the equation y = (x + 2)² + 3 represents the shown parabolic graph.

Thus, the correct answer is option B.

Learn more about the parabola here:

brainly.com/question/4074088

#SPJ2

Answer:

Cost of each ticket per person = $42

For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.

Marco's ticket cost $30.

This means he paid 42-30=12 dollars less.

Now when there are 8 members, the cost decreases by $3.

So, $12 will decrease, when there will be  members

I hope this helps! Have an awesome day!

Answer:

The answer is there are 32 people in this group

Step-by-step explanation:

here is proof work if you need it:

Answer:

Step-by-step explanation:

according to the question

the equation is

[tex] \tan(45 {}^{o} ) = \frac{x}{6} [/tex]

[tex]1 = \frac{x}{6} [/tex]

[tex]x = 6[/tex]

Answer:

60%

Step-by-step explanation:

Let the total number of people polled to vote be 1000

80% said they would vote for him

That is 800

20% said they would not vote for him

That is 200

Out of the 800, 70% actually voted

That will be ;

70/100 * 80 = 560

Also, 20% of the 200 that said they would not vote actually voted

That will be ;

20/100 * 200 = 40

Total is thus;

569 + 40 = 600

% is 600/1000 = 60%