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Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

Answer:

b)34°

Step-by-step explanation:

3x+50°+2x-30°=180°

5x+20=180° collect like term

5x=180°-20

5x/5=160°/5

×=32°

find M

M=(2x-30°) by Vertical opposite angle

2×32°-30

64°-30°=34°

Answer:

B

Step-by-step explanation:

Answer

29/6  or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6   Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6

Answer:

27

Step-by-step explanation:

bc m1=31 and m2=29 you subtract 31-29and it is 27

Answer:

44 I think

Step-by-step explanation:

i don't know I'm not too sure

Answer:

25

Step-by-step explanation:

I just did the same thing!!! LOL :) I hoped that helped

Answer:

c

Step-by-step explanation:

To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

[tex]2^x + 2^{-x} = 3[/tex]

Queremos calcular:

[tex]4^x + 4^{-x}[/tex]

Tambien sabemos que 4 = 2*2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}[/tex]

y sabemos que 2*2 = 2^2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}[/tex]

y ahora podemos usar la relación:

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

entonces:

[tex](2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2[/tex]

Ahora podemos completar cuadrados sumando y restando el termino:

[tex]2*(2^x)*(2^{-x})[/tex]

Asi tendremos:

[tex](2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Entonces de momento tenemos que:

[tex]4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

[tex]a^n*a^m = a^{n + m}[/tex]

en el termino de la derecha.

Asi tendremos:

[tex](2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7[/tex]

Step-by-step explanation:

To Find :-

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

Answer:a

Step-by-step explanation:

b. -3/2

Step-by-step explanation:

This is the correct answer

Answer: look at the picture

Step-by-step explanation: Hope this help :D

72x/7

Hope this Helped :T

Answer:

D or 1/2

Step-by-step explanation:

If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.

Answer:

62.5%

Step-by-step explanation:

the question is worded weirdly but basically since they're saying "given that a state does not use nuclear power", you can ignore the ones that do use nuclear power.

20 + 12 = 32

and then u have to find the percentage that do use coal (20). to do that all you have to do is divide then move the decimal place backwards 2 times

20 ÷ 32 = 0.625

62.5%

Answer:

x=5

Step-by-step explanation:

the answer is choice c

Answer:

the answer is -2,4

Step-by-step explanation:

I had this question before and thats where the lines intersect

Answer:

B

Step-by-step explanation:

(The picture on the bottom left)

just look at it and think hard. you got this you don't need to use brainly

Answer: 102 ft

Step-by-step explanation:

Answer:102 feet

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

52 + 28 = 80 total pins

52/80 = .65

Answer:

65% of the pins were yellow

Step-by-step explanation:

52 +28= 80 total flowers

80= 100%

52= x%

80x = 5200

x = 65%

Answer:

6. xint=-7

    yint=-3

7. xint=-7

yint=-5

Step-by-step explanation:

Answer:

6. (-7,-3)

7. (-7,-6)

Them are the coordinates

Answer: red marbles = 140

White marbles = 98

Step-by-step explanation:

Let the number of white marbles be represented by x

Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42

Since there are 238 marbles in the jar, this can be represented in an equation as:

x + x+42 = 238

2x + 42 = 238

2x = 238 - 42

2x = 196

x = 196/2

x = 98

White marbles = 98

Red marbles = x + 42

= 98 + 42

= 140

Answer:

64 cm²

Step-by-step explanation:

(12*4.5)+(2*5)= 54+10=64

Answer:

20

Step-by-step explanation:

twenty times five is one hundred, so, I hope that's the answer you're looking for

Answer:

y <= 20

Step-by-step explanation:

Since it says a number y, our variable is y.

The number is multiplied by 5 which gives us 5y.

It is at most one hundred which means this is an inequality. It is AT MOST which means that 100 is a possible value. This means that our inequality is:

5y <= 100

Now we divide both sides by 5 to isolate y

y <= 20

Answer:

-7

Step-by-step explanation:

They both are perpendicular lines. Which means that their slopes are opposite reciprocals.

Answer:

I believe that would be -1/7

Step-by-step explanation:

It's essentially going in reverse, you go -1 spot on the graph and up 7.

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation: