Graph f(x)=2x 1 and g(x)=−x 7 on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in the box.

Answer:

-13x^2 + 6x + 11

Step-by-step explanation:

Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)

Answer:

The average amount of chocolate consumed daily by this classroom is about 995 grams daily.

Step-by-step explanation:

12(25) = 300

7(35) = 245

9(50) = 450

Add all of the totals of chocolate eaten.

300 + 245 + 450 = 995

The average amount of chocolate consumed daily by this classroom is about 995 grams daily.

Using compound interest equations, it is found that Lauren will have $626 more in her account.

The equation for compound interest is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Considering continuous compounding, the equation is:

[tex]A(t) = Pe^{rt}[/tex]

For Lauren, we have that:

The time it takes to triple is t for which A(t) = 3P, hence:

[tex]A(t) = Pe^{rt}[/tex]

[tex]3P = Pe^{0.07625t}[/tex]

[tex]e^{0.07625t} = 3[/tex]

[tex]\ln{e^{0.07625t}} = \ln{3}[/tex]

[tex]0.07625t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.07625}[/tex]

[tex]t = 14.4[/tex]

For Adrian, we have that:

In 14.4 years, he will have:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(14.4) = 9600\left(1 + \frac{0.075}{12}\right)^{12(14.4)}[/tex]

[tex]A(14.4) = 28174[/tex]

Lauren's amount is of 3 x 9600 = 28800.

28800 - 28174 = 626.

Lauren will have $626 more in her account.

To learn more about compound interest equations, you can take a look at https://brainly.com/question/25537936

Answer:

make Sure to give my full points

Step-by-step explanation:

2/3in = 1ft

30ft = ?in

30/(2/3)=45

45in

Answer:

[tex](x+3)(x+2)[/tex]

Step-by-step explanation:

[tex]x^2+5x+6[/tex]

[tex]x^2+2x+3x+6[/tex]

[tex]x(x+2)+3(x+2)[/tex]

[tex](x+3)(x+2)[/tex]

Answer:

[tex]9 - x = 1[/tex]

[tex]9-x-9=1-9[/tex]

[tex]-x=-8[/tex]

[tex]\cfrac{-x}{-1}=\cfrac{-8}{-1}[/tex]

[tex]\boxed{x=8}[/tex]

[tex]-252 = 21k[/tex]

[tex]21k=-252[/tex]

[tex]\cfrac{21k}{21}=\cfrac{-252}{21}[/tex]

[tex]\boxed{k=-12}[/tex]

Answer:

x= -6   k=-12

Step-by-step explanation:

15-9 is 6.   9+6=15 9-(-6)=15 because when two negatives are together they make a positive. (--)=+      K=-21 because -252/21 is -12.

Answer:

B

Step-by-step explanation:

definitely b because 6 percent of 2000 is 120 and 120 x 2 is 240 so add that to the 2000 and theres your answer

Answer:

Option D

The Answer is $2,247

Step-by-step explanation:

Alan invested the money in a savings account which increases 6% annually.

2000 × 6 ÷ 100 = $120

Now,

2000 + 120 = $2120

2120 × 6 ÷ 100 = $127

Now,

2120 + 127 = $2247

Thus, Alan's investment worth after two years is $2247

-TheUnknownScientist 72

Answer:

independent...............

Answer:

Step-by-step explanation:

Slope:

[tex]\sf\dfrac{y_2-y_1}{x_2-x_1} [/tex]

y2=(-5)

y1=(-4)

x2=1

x1=8

Solve.

(-5)-(-4) change to (-5)+4.

(-5)+4=-1

1-8=-7

m=-1/-7

Divide by 1.

-1/1=-1

-7/1=-7

[tex]\sf\dfrac{-1}{-7}=\dfrac{1}{7} [/tex]

m=1/7

The slope of line AB is 1/7, which is our answer.

Answer:

827

Step-by-step explanation:

1 1

679

+

138

-----

8 1 7

Answer:

slope = 7/6

Step-by-step explanation:

Step 1: Apply slope formula for two points.

Step 2: Simplify.

Therefore, the slope is 7/6.

The slope and length of the given sides of the quadrilateral can be

found by using the coordinates of the vertices.

Correct responses:

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

Therefore;

[tex]Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}[/tex]

[tex]Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}[/tex]

[tex]Slope \ of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2} = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}[/tex]

[tex]Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2} = \underline{ \sqrt{85}}[/tex]

[tex]Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}[/tex]

[tex]Length \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}[/tex]

[tex]Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}[/tex]

[tex]Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}[/tex]

Learn more about finding the slope and length of a line here:

https://brainly.com/question/11612395

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Answer:

f

Step-by-step explanation:

Answer:

its not nice to call people names!

byeeee!!

Step-by-step explanation:

<3 anmol

Answer:

He has saved $4 so far!

4 is a 1/4 of 16

Multiply 16 by 0.25 or 1/4 and you will get your answer

Step-by-step explanation:

Answer:

Ryan has saved:

$4

Step-by-step explanation:

One fourth = 1/4

16 * 1 / 4 = 16/4 = 4

Answer:

Point K: (-4, 8)

Step-by-step explanation:

using a scale factor means you will multiply that amount to the coordinates given. in this situation, i multiplied the coordinates of point K (-1, 2) by the scale factor of 4. This multiplication resulted in the new point: (-4, 8).

i hope this helps!

Answer:

3608 L

Step-by-step explanation

You just have to multiply the dimensions and then divide by 1000 which is amount of cm3 per liter

Answer:

5 = length

10 = width

Step-by-step explanation:

Length is 5

width is 10

meets this criteria

width is twice longer than length (check)

equals 30 (check)

also if you add it to the perimeter formula, it works:

l + l + w + w

5 + 5 + 10 + 10 = 30

Answer:

75 degrees. You have to add 45+60 and you get 105. Then you do 180-105 and you get 75.

at x=-2,

y=-3(-2)+4

y=10

at y=4,

4=-3x+4

3x=4-4

x=0

(-2,4),(0,10)

gradiant=-3

y-4=-3(x-(-2))

y-4=-3x-6

y=-3x-2

Answer:

= ( l - 2m ) × ( l - 4m )

= l² - 4ml - 2ml + 8m²

= l²- 6ml + 8m²

Step-by-step explanation:

hope this answer will help you

The number of songs Basheera has listened to out of 90 songs is 40 songs

According to the question;

Hence, the given information are as follows:

Number of songs listened to = 40% of 90

Upon simplification of the decimal, we have;

Ultimately, the number of songs Basheera has listened to is = 36 songs

Learn more about percentage:

https://brainly.com/question/843074

Answer:

a. connect the point (0 , 3) with A

b. connect the origin (0 , 0) with B

c. For A: y = 0.5x +3

For B: y = 0.5x

Step-by-step explanation:

y = ax + b is the general rule for any straight line

a being the slope and b being the y intercept, a is given to be 0.5

y = 0.5x + b, substitute the coordinates of point A

4 = 0.5 *2 +b hence b = 4 - 0.5 *2 = 4 - 1 = 3

so y = 0.5 x + 3 is the equation of the line passing through A

since the second line that passes through B is parallel to the first, hence it has the same slope of 0.5

same procedure, substitute coordinates of B

2 = 0.5 * 4 + b hence b = 2 - 0.5 *4 = 2 - 2= 0

so y = 0.5 x is the equation of the line passing through B

Answer:

18,243.906

Step-by-step explanation:

divide 24325.208 by 4 which gives you, 6,081.302. we then multiply by 3

plz give brainliest

Answer:

18,243.906

Step-by-step explanation:

24325.208 / 4 = 6081.302

6081.302 x 3 =18,243.906

Answer:

1

-1

1

-1

it continues like this

Step-by-step explanation:

if the the negative is multiplied by negative = positive

negative × positive = negative

for example

-1 x (-1) x (-1) = 1× (-1) = -1

Answer:

-1 x (-1) = 1

-1 x (-1) x (-1) = -1

-1 x (-1) x (-1) x (-1) = 1

-1 x (-1) x (-1) x (-1) x (-1) = -1

-1 x (-1) x (-1) x (-1) x (-1) x (-1) = 1

-1 x (-1) x (-1) x (-1) x (-1) x (-1) x (-1)  = -1

Please give brainliest

Answer:

it will be 360º-180º but I am not sure

Answer:

10 inches

Step-by-step explanation:

2.5 times 4 is 10

Answer:

it is a right side triangle

Step-by-step explanation:

m to L

L to q

q to n