The sum of a number and twice its reciprocal is 3. What are the numbers?

Answer:

(-15,7) (11,7) (-2,20) (-2,-6)

Step-by-step explanation:

There are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

Given that Point M is located at (-2,7).

If point N is 13 units away from point M,  we have to find the possible cordinate pairs.

When N is vertically upwards of M, then the x point will not change but the point y is increased by 13.

So the point N is located at (-2, 7+13) which is (-2, 20).

When N is vertically downwards of M, then the x point will not change but the point y is decreased by 13.

So the point N is located at (-2, 7-13) which is (-2, -6).

When N is horizonatally rightside of M, then the y point will not change but the point x is increased by 13.

So the point N is located at (-2+13, 7) which is (11, 7).

When N is horizonatally leftside of M, then the y point will not change but the point x is decreased by 13.

So the point N is located at (-2-13, 7) which is (-15, 7).

Hence, there are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

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Answer:

x = -3

Step-by-step explanation:

Given the equation,  -4(10 + 3x) - (x + 8) = - 9:

Distribute -4 into (10x + 3x), and - 1 into (x + 8):

-4(10 + 3x) - (x + 8) = - 9

-40 -12x - x - 8 = -9

Combine like terms:

-48 - 13x = -9

Add 48 to both sides:

-48 + 48 - 13x = -9 + 48

-13x = 39

Divide both sides by -13:

[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]

x = -3

Therefore, x = -3

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Answer: it’s B or D

Step-by-step explanation:

Answer:

-1/6[24 -9]

[ 2 1]

Step-by-step explanation:

1×_24=-24

-2×9=-18

-24--18=-6

Answer:

Missing term

1. -4

2. 0

3.2x

4. 1

5. 1

Property of equality

1. Additive inverse property

2. Additive Identity property

3.commutative property of additional

4. Multiplicative identity property

5. Multiplicative inverse property

Answer:

first company=3 hours × $44.5

second one=3.317 hours × $40.25

both will be equal $133.5

Step-by-step explanation:

i hope that what u wanted

Answer:

A. - 6

Is the common difference

see the expressions below that prove so.

Step-by-step explanation:

The sequence shows -6 to each number is same as k-6 or even n-6

we use such letters to represent 1 value. Also the reason it is a negative number is because the numbers are decreasing within the sequence.

The nth expression is the first term equation shows -6n

and the number prior to 45 is  45+6 = 51

Put together this creates our nth term =   -6n + 51

The next term is where we use the common difference also.

next nth term =  (27) + (- 6) = 21   and so on proves it the 5th term

5th nth term = -6 x 5 +51 = 21

100th nth term = -6 x 100 +51 = -549

Answer:

x = 15

Step-by-step explanation:

<JKM is the sum of the two smaller angles.

<JKL + <LKM = <JKM

<JKM = 154

<JKL  = 6x

<LKM = 3x + 19

6x + 3x + 19 = 154             Subtract 19 from both sides

9x + 19 - 19 = 154-19         Combine            

9x = 135                            Divide by 9

9x/9 = 135/9

x = 15

Answer: The simplest form of this equation is 16q-12

Step-by-step explanation:

Answer:

(-7q+1) + (9q-13)

2q - 12

Step-by-step explanation:

The first step you'll take is to combine like terms:

-7q + 1 + 9q - 13 ⬇

-7q + 9q + 1- 13

Then subtract or add the terms⬇

1: -7 + 9q = 2q

2: 1 - 13 = 12

So... 2q - 12

Then this would be your answer!

Tell me if this helps- or if I answered your question! :)

If the question was (7q + 1) + (9q - 13) tho... the answer would be 16q - 12, just follow the same steps⬆

Answer:

65

Step-by-step explanation:

For 26

a) We could first rotate clockwise 90 degrees from the origin, and then reflect on the x axis.

b) We could rotate counterclockwise 90 degrees and then reflect on the y axis.

For 27

a) Rotate counterclockwise 90 degrees from the origin, then translate down 1

b) Reflect on x axis, rotate 90 degrees clockwise, then reflect on x axis, translate down 1, left 1

These are just a couple of the possible ways to solve this, try to figure out some more for yourself!

Answer:

Step-by-step explanation: 1/2x=16

16x4=64, Although this is not exactly 55 cookies, you can either make more or less. So you need 4 salt, to make 55.

Answer:

[tex]\frac{55}{32}[/tex] tsp

Step-by-step explanation:

To find out how much salt you would need to make 55 cookies, you need to find how much salt makes 1 cookie:

If [tex]\frac{1}{2}[/tex] tsp of salt makes 16 cookies, then ([tex]\frac{1}{2}[/tex] ÷ 16) tsp of salt will make 1 cookie.

But how much is [tex]\frac{1}{2}[/tex] ÷ 16?

To divide fractions with different denominators easily, use the SFM method:

S - Skip

F - Flip

M - Multiply

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{16}{1}[/tex]      First, Skip your focus to the 2nd number. This is what will be changed.

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{16}[/tex]      Next, Flip the numerator and denominator.

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{16}[/tex]      Finally, multiply the two numbers together.

[tex]\frac{1}{32}[/tex]

[tex]\frac{1}{32}[/tex] tsp of salt will make 1 cookie.

Now to find the amount needed for 55 cookies:

To find the amount of salt needed to make 55 cookies, multiply [tex]\frac{1}{32}[/tex] × 55.

[tex]\frac{1}{32}[/tex] × [tex]\frac{55}{1}[/tex] = [tex]\frac{55}{32}[/tex]

Because the fraction cannot be simplified further, the amount of salt that is needed to make 55 cookies is [tex]\frac{55}{32}[/tex] tsp.

The composite function m(n(x)) is 70x²+ 19

Given the functions

m(x)=10x−9

n(x)=7x²+4

We need to get the composite function m(n(x))

m(n(x)) = m(7x²+4)

To get m(7x²+4), we need to replace x as 7x²+4 in function m(x) as shown:

m(7x²+4) = 10(7x²+4) - 9

m(7x²+4) = 70x²+ 28 - 9

m(7x²+4) =  70x²+ 19

Hence the composite function m(n(x)) is 70x²+ 19

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The missing statement for the proof is;

Statement 3;S3 : 9x + 54 = 116

The missing reasons for the proofs are;

R1; Given

R2; Using Addition property of inequality

R3; Distributive property

R4; Using subtraction property of inequality

R5; Using Division property of inequality

The correct question can be found at https://brainly.com/question/25052574

We are given the equation;

9(x + 6) − 41 = 75

Step 2;

Using addition property of equality, we add 41 to both sides;

9(x + 6) - 41 + 41 = 75 + 41

9(x + 6) = 116

Step 3;

Using distributive property to distribute 6 over the items in the bracket to get;

9x + 54 = 116

      9x + 54 - 54 = 116 - 54

       9x = 62

      9x/9 = 62/9

       x = 62/9

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Simplification :

Answer:

Step-by-step explanation:

Combine Like Terms:

= 17x + 5y + − 4x + 10y

= (17x + −4x) + (5y + 10y)

= 13x + (5y + 10y)

Answer: a

adding the two polynomials will give you the answer a

if you'll add the two polynomials above it appeared that the answer is letter B

Answer:

37

Step-by-step explanation:

The two angels are congruent, meaning they're the same. So its just what multiplied by 2 gets 74. So 74 divided by 2 is 37.

I hope I could help. Enjoy your day! Maybe brainiest if this was right?

No pressure! :)

Answer:

37

Step-by-step explanation:

This is a vertical angle, meaning 74 and 2x would be equivalent to each other. So we have to make 2x equal to 74. We set up an equation, 2x = 74. Divide 2 for both sides; 74 divided by 2 = 37; 2x divided by 2 (2 cancels out, leaving x alone). Therefore, x = 37.

To check, substitute x with 37. 37 times 2 is 74, and since the left is 74 the right also have to be 74.

Answer:

Disciminant of f = 0

x-intecept = [tex](\frac{3}{2}, 0)[/tex]

Step-by-step explanation:

Given the quadratic function, -4x² + 12x - 9

where a = -4, b = 12, and c = -9

The discriminant, b²- 4ac, is the expression inside the radical (numerator) of the quadratic formula:

[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]

The first part of your given problem asks for the discriminant. Substitute the values for a, b, and c:

b²- 4ac = 12² - 4(-4)(-9) = 144 - 144 = 0  → This implies that the quadratic function has one real root.

Therefore, the disciminant of f is 0.

Next, the given problem asks for the x-intercepts. The x-intercept is the point on the graph where it crosses the x-axis. As I mentioned earlier, the function has one real root. Therefore, it means that there is only 1 x-intercept.  To find out what the x-intercept is, use the quadratic formula:

[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x = \frac{-12 +/- \sqrt{12^{2}-4(-4)(-9)} }{2(-4)}[/tex]

[tex]x = \frac{-12 +/- \sqrt{144 - 144} }{-8}[/tex]

[tex]x = \frac{-12}{-8} = \frac{3}{2}[/tex]

Therefore, the x-intercept is [tex](\frac{3}{2}, 0)[/tex].  

Answer:

n = 10

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

2² × [tex]2^{n}[/tex] = [tex](2^4)^{3}[/tex]

[tex]2^{2+n}[/tex] = [tex]2^{12}[/tex]

Since the bases on both sides are equal, both 2 then equate exponents

2 + n = 12 ( subtract 2 from both sides )

n = 10

Queremos encontrar y resolver una ecuación algebraica con los datos dados.

Veremos que  se pagaron 185.50 pesos del telefono.

La información que se nos da es:

Sabemos que de 1000 pesos sobraron 74.50, entonces podemos escribir:

1000 - 250 - 490 - X = 74.50

Ahora podemos resolver esto para X.

1000 - 250 - 490 - X = 74.50

260 - X = 74.50

X = 260 -  74.50 = 185.50

Así podemos concluir que se pagaron 185.50 pesos del telefono.

Sí queres aprender más, púedes leer.

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Answer:

Step-by-step explanation:

cat

The length is 50 I think

Hope this helps

Answer:

3.5 bro this is literally the best I could do, hopefully it helps

Step-by-step explanation:

take care

Answer:

anong grade po yan mam/sir?

7po yan

Answer:

Step-by-step explanation:

12 ft x 10.5 ft = Area1

(12+x)*(10.5) = Area2

That looks like C. 10.5(12 + x) square feet

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Original Equation:

1-3n+2n=13+2n

Combine like terms:

1-n=13+2n

Transfer the 1:

-n=12+2n

Transfer 2n:

-3n=12

Divide: (by -3)

n=-4

Hope this helps! :)