Find at least one solution to the following equation:
sin(x
2 − 1)
1 − sin(x
2 − 1) = sin(x) + sin2
(x) + sin3
(x) + sin4
(x) + · · ·

Answer:

10 students/van

48 students/bus

Step-by-step explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

The sencond one is D.

The first one is probable A hope i'm right on this on.

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

9514 1404 393

Answer:

  yes, yes, no, no

Step-by-step explanation:

An equation is linear if no term has a variable with an exponent other than 0 or 1. There can be no products of variables.

The equations with terms x³ or x² will not be linear.

(a, b) linear (yes)

(c, d) not linear (no)

Answer: was just for a challenge

Step-by-step explanation:

no

Step-by-step explanation:

[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

Answer:

the answer of 500000x396 is 198,000,000

Answer:

hey, will you tell (at symbol)MichiChan i cant go on pixelart? i keep getting an error 400 on it and i cant do anything. i dont want her to think im ignoring her...thanks

Step-by-step explanation:

:P

Answer:

yes

Step-by-step explanation:

This is correct.

Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.

[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]

[tex]3.0*10^{-5}[/tex]

So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.

Answer:

irst, 4865 rounded to the nearest ten is:

4870

Step-by-step explanation:

Here we will tell you what 4865 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 4865.

When rounding to the nearest ten, like we did with 4865 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

-64

Step-by-step explanation:

Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.

Answer:

yes  

Step-by-step explanation:

Answer:

s=13

Step-by-step explanation:

[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

I can't see what you posted it's blocked off but I could probably answer it if I knew what the questions were

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Answer:

6

Step-by-step explanation:

we start with:

n(n + 1) + 3 = 45

n² + 1n = 42

n² + 1n - 42 = 0

n can be either 6 or -7

(n - 6)(n + 7)

since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:

n = 7 ⇒ n(n + 1) + 3 = 45

7(7 + 1) + 3 = 59 WRONG

n = 6 ⇒ n(n + 1) + 3 = 45

6(6 + 1) + 3 = 45 ✓ CORRECT

Answer:

6

Step-by-step explanation:

Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.

Answer:

1.8

Step-by-step explanation:

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

Step-by-step explanation:

In general, for all problems like this, remember the acronym VOHI:

vertical outside, horizontal inside.

1. The parent function here would be [tex]f(x)=x^{2}[/tex]. 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.

2. First, the parent function is again [tex]f(x)=x^{2}[/tex]. This time, we have [tex]\frac{1}{4}[/tex] on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. [tex]\frac{1}{4}[/tex] is between 0 and 1. So, this is a vertical shrink by a factor of [tex]\frac{1}{4}[/tex]. Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by [tex]\frac{1}{4}[/tex] and moved left 6.

3. Again, parent function: [tex]f(x)=x^{2}[/tex]. This one just has [tex]\frac{3}{2}[/tex] on the outside. We know that it's on the outside because otherwise there would be parentheses around both [tex]\frac{3}{2}[/tex] and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by [tex]\frac{3}{2}[/tex].

I hope this helps!

Transformation involves changing the position and/or size of a function.

The transformations are:

[tex]\mathbf{1.\ f(x) = (x - 4)^2 +9}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated right by 4 units (this is represented by subtracting 4 from x.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2}[/tex]

Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2 + 9}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.

[tex]\mathbf{2.\ f(x) = \frac 14(x + 4)^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated left by 4 units (this is represented by adding 4 from x.

i.e.

[tex]\mathbf{f(x) = (x + 4)^2}[/tex]

Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4

i.e.

[tex]\mathbf{f(x) = \frac 14(x + 4)^2}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4

[tex]\mathbf{3.\ f(x) = \frac 32x^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2

i.e.

[tex]\mathbf{f(x) = \frac 34 \times x^2}\\[/tex]

[tex]\mathbf{f(x) = \frac 34 \timex x^2}[/tex]

So, the transformation from the parent function is: Vertically stretch f(x) by 3/2

Read more about transformations at:

https://brainly.com/question/13801312

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-4=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=10+4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=14 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {14}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]

Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Answer:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Answer:

f < -2

Step-by-step explanation:

f+ 4 < 2

 -4.   -4

f < -2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

the second

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

The minimum requirement is 180.

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D