A chess club has 480 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per year. When will the two clubs have the same number of members?

↝ g(x) + f(x) = (4x-2)+(x²+4x)

↝ g(x)+f(x) = 4x-2+x²+4x

↝ g(x)+f(x) = x²+8x-2

Therefore, g(x)+f(x) = x² + 8x - 2

Answer:

The 2nd triangle

Step-by-step explanation:

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

The Pythagoras theorem is applied in the right-angle triangle.

In the second triangle, then the third side of the triangle is calculated as,

4² + 4² = C²

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

More about the Pythagoras theorem link is given below.

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[tex]y = \frac{1}{2} x + 1 \\ [/tex]

Multiply sides by 2

[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]

[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]

[tex]2y = x + 2[/tex]

[tex]x + 2 = 2y[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 2y - 2[/tex]

[tex]x = 2y - 2[/tex]

Done...

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Answer:

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

Hope it helped,

Kavitha Banarjee

Answer:

Rewriting the equation in the form (x+c)²=d by completing the square

The solutions to the quadratic equation are:

Step-by-step explanation:

Given the equation

[tex]x^2+10x+22=13[/tex]

subtract 22 from both sides

[tex]x^2+10x+22-22=13-22[/tex]

simplify

[tex]x^2+10x=-9[/tex]

Rewriting the equation in the form (x+c)²=d by completing the square

[tex]x^2+10x+5^2=-9+5^2[/tex]

[tex]x^2+10x+5^2=16[/tex]

[tex]\left(x+5\right)^2=16[/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{16}[/tex]

[tex]x+5=\sqrt{4^2}[/tex]

[tex]x+5=4[/tex]

[tex]x=-1[/tex]

also solving

[tex]x+5=-\sqrt{16}[/tex]

[tex]x+5=-4[/tex]

[tex]x=-9[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=-1,\:x=-9[/tex]

Answer:

2

Step-by-step explanation:

(1/2) elevado -1

2/1

Answer:

the answer is 1.8 and its terminating

Answer:

[(i^21) - (i^22)]d

the direction will not matter because the direction will always be the same no matter what order you choose  

Step-by-step explanation:

This is the answer

The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.

When in the complex plane, the line is rotated clockwise, then the line is multiplied by -i and when the line is rotated anti-clockwise, then the line is multiplied by i.

A right turn is the clockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by -i.

A left turn represents a counterclockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by i.

Here assume the initial direction vector of the robot is d

the robot is turned to the left 21 times. so now the direction vector will be di²¹. Then it is rotated right 22 times,  now the direction vector will be (di²¹)*(-i)²²=d((i)²¹*(-i)²²).

So, now the direction that the robot is going= d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di

means the robot is the right of the initial direction.

Now the expression that shows the direction that the robot is going is d((i)²¹*(-i)²²).

The order does not matter as the direction will always be the same irrespective of the order.

Therefore The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.

Learn more about the complex plane

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Answer:

The answer (from left to right) is -3.5 and -2.5

Step-by-step explanation:

Answer:

from the left to the right: -3.5, -2.5

Step-by-step explanation:

have a good day

Answer:

Da!!!!!!!!!!!!!!!!!!!!!!!!!!

YES

Answer:

naravno da

Step-by-step explanation:

The base angle is 70 degrees

For an isosceles triangle, we have:

Vertex angle + 2 * Base angle = 180

This gives

40 + 2 * Base angle = 180

Subtract 40 from both sides

2 * Base angle = 140

Divide both sides by 2

Base angle = 70

Hence, the base angle is 70 degrees

Read more about isosceles triangle at:

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9514 1404 393

Answer:

  f(t) = 17.5cos(π(t-7)/6) +59

Step-by-step explanation:

When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).

To write the trig function, you need to know ...

These values will go into the general form ...

  f(t) = A·cos(2π(t -C)/B) +D

__

In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.

The period is 12 months, so B=12.

The amplitude (A) is half the difference between the minimum and maximum:

  A = (76.5 -41.5)/2 = 17.5

The offset (D) is the average of the maximum and minimum:

  D = (76.5 +41.5)/2 = 59

__

Using these values in the above form, we have ...

  f(t) = 17.5cos(2π(t-7)/12) +59

__

Additional comments

You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.

Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.

Given:

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...

To find:

Description of the sequence you see. What about the multiples of three? Four? Five?

Solution:

The multiples of 2 form a sequence as follows:

2, 4, 6, 8, 10, 12, 14, 16, ...

It is defined as [tex]a_n=2n[/tex], where n is a natural number. It represents all positive even numbers.

Multiples of 3, 4 and 5 form the respective sequences:

[tex]a_n=3n[/tex], i.e., 3, 6, 9, 12, 15, 18, 21, 24,...

[tex]a_n=4n[/tex], i.e., 4, 8, 12, 16, 20, 24, 28, 32...

[tex]a_n=5n[/tex], i.e., 5, 10, 15, 20, 25, 30, 35, 40...

Answer: -1

Step-by-step explanation:

just plug in -16 for t.

-16 + 5

———

11

SIMPLIFY TOP

-11

—-

11

-1

Answer:

[tex]-1[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\frac{t+5}{11}[/tex]

t = -16

Step 2: Evaluate

Answer:

The red one

Step-by-step explanation:

From the first graph we knows it will not be the blue or yellow, from the second one we will know it’s not the green one, count and put how many square as y and figure1/2/3as x.

Answer: If she's willing to calculate within mph, she needs to know a certain distance her brother can run, and how long it takes to run that distance.

Answer:

Step-by-step explanation:

Let's solve for x.

−2x−3=y

Step 1: Add 3 to both sides.

−2x−3+3=y+3

−2x=y+3

Step 2: Divide both sides by -2.

−2x

−2

=

y+3

−2

x=

−1

2

y+

−3

2

Answer:

x=-1/2y+-3/2 i have the answer but the shown work is messed up sorry

Answer:

[tex]x-2y=-6[/tex]

Step-by-step explanation:

The line contains a slope of 1/2 and has a y-intercept of 3.

And we want to write this in standard form.

Let’s first write it in slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

So, substitute 1/2 for m and 3 for b. This yields:

[tex]y=\frac{1}{2}x+3[/tex]

We will convert this to standard form. The standard form is:

[tex]Ax+By=C[/tex]

Where A, B, and C are all integers, and A is positive.

We have the slope-intercept equation:

[tex]y=\frac{1}{2}x+3[/tex]

So, let’s multiply our slope-intercept equation by 2 to remove the fraction. This gives us:

[tex]2y=x+6[/tex]

Now, subtract x from both sides:

[tex]-x+2y=6[/tex]

The coefficient of x should be positive. So, multiply both sides by -1:

[tex]x-2y=-6[/tex]

Hence, our standard form is:

[tex]x-2y=-6[/tex]

Answer:

It is used to find a side of a triangle.

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Remember : This only works in Right angled triangles.

Answer:

What problem do you need help with.

Answer:

Gary can go 4.9 miles in 84 minutes.

Step-by-step explanation:

First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:

60 minutes → 1 hour

84 minutes →      x

x=(84*1)/60=1.4 hours

Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:

y=3.5x

y=3.5(1.4)

y=4.9

According to this, the answer is that Gary can go 4.9 miles in 84 minutes.

Answer:

3x+3

Step-by-step explanation:

combine like terms

Answer:

7X-4X = 3X

3X+3

Step-by-step explanation:

You need to combine like amounts.

Answer:

For 3 different values of x

Step-by-step explanation:

Here, we want to get the values of x for which

√(48/x) is a whole number

We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48

Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root

The factors of 48 that can yield a whole number are;

1,2,3,4,6,8,12,16,24 and 48

However, the divisions that can yield a perfect square are

3 (yield 16)

12 ( yield 4)

48 ( yield 1)

So the numbers of the value of x that can yield a whole number is 3

Answer:

B: 3

Step-by-step explanation:

edg 2020

Answer:

y = -11/6z - 6

Step-by-step explanation:

11z +6y = -36

-11z          -11z

6y = -11z -36

-----  -----  -----  divide by 6

6       6       6

y = - [tex]\frac{11}{6\\}[/tex] z -6

Answer:

5^2

Step-by-step explanation:

5^3-10^2= 25/ 125-100=25

5^2=25

Answer:

1/2

Step-by-step explanation:

Rise/Run

i think its 1/2

Answer:

The slope of the line would be -2/3.

Step-by-step explanation:

Using the formula y2-y1/x2-x1, plug in the numbers of the two points and then you get an answer of -2/3, which would be the slope of the line.

Answer:

Perhaps 100% if cats were 31% as based off my calculations, they are.

Step-by-step explanation:

5 + 9 + 7 + 48 = 69

100-69=31%

Answer:

x > 25

Step-by-step explanation:

This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.

So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:

3x

The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:

3x + 2x

The final part says "is greater than 125"  so we need to use the > sign

3x + 2x > 125

Now we can solve by collecting like terms and moving them to a different side.

5x > 125

x > 25