Let g(x) = 3(x - 6)^2 + 1. Find the range of $g$.

Answer:

2/3x + 1/6x = 30

x represents her money, because it is unknown

and 30 represents the leftover money she was left, so we solve for x.

x - (2/3x + 1/6x) = 30

Combine multiplied terms into a single fraction.

Find a common denominator;

x - 4/6x - 1/6x = 30

Combine fractions with common denominator.

Multiply all terms by the same value to eliminate fraction denominators;

6x - 4x - 1x / 6 = 30

Cancel multiplied terms that are in the denominator.

x/6 = 30

Multiply them.

*6     *6

To get,

x = 180

Jessica had 180 dollars in her pocket before shopping.

Two or more expressions with an Equal sign is called as Equation.

Let's assume that Jessica had 'x' dollars in her pocket before going shopping.

Jessica used 2/3 of her money to buy books, which is (2/3)x dollars.

She used 1/6 of her money to buy notebooks, which is (1/6)x dollars.

So, the total amount of money spent on books and notebooks is:

(2/3)x + (1/6)x = (4/6)x + (1/6)x = (5/6)x

Jessica had 30 dollars left in her pocket after shopping. So, we can write:

x - (5/6)x = 30

Simplifying the equation, we get:

(1/6)x = 30

Multiplying both sides by 6, we get:

x = 180

Therefore, Jessica had 180 dollars in her pocket before shopping.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer:

When translating phrases into algebraic expressions, you need to identify keywords and phrases which specifically refer to a mathematical operation (addition, subtraction, multiplication, and division). Usually, you can write out the algebraic expression of the verbal description in the order that it is said

Answer:

Option A

Step-by-step explanation:

Since its an exponential of a decimal number, as x goes on increasing the graph will start going to y=0.

You can plot the graph on any online graphing tool and see for yourself :)

Answer:

Option A

EXPLANATION

[tex]{{{\colorbox{teal}{{\huge \boxed{\bold{\color{red}{T}\color{bluee}{H}\color{pink}{A}\color{yellow}{NKS}\:\color{brown}{P}\color{purple}{o}\color{black}{i}\color{green}{n}\color{orange}{t}\color{gray}{s}}}}}}}}[/tex]

Answer:

90 I think

Sorry if its wrong!

Answer:

160 ounces

Step-by-step explanation:

multiply the mass value by 16

Answer:

7 & 5

Step-by-step explanation:

7+5=12
7-5=2
5-7=-2

Answer:

5 and 7

Step-by-step explanation:

5 + 7 = 12

5 - 7 = -2

Answer:

3/4

Step-by-step explanation:

ok so im really bad at explaining but ill try my best.

so since its asking you to fiure out how much he watched in total, youre going to have to add.

for one of the videos he watched 5/8 mins and for the other 1/8 mins.

5/8 + 1/8= 6/8

and since its asking for its simplest form youre gong to have to simplify it

6/8=3/4

i hoped this helped :)

Similar triangles may or may not have congruent sides lengths

From the properties of similar triangles, the side lengths of similar triangles may or may not be congruent, but the side lengths are always proportional.

Take for instance, an equilateral triangle has a dimension of 2cm by 2cm by 2cm

The similar triangles could have the following dimensions:

This is so because the triangles are proportional to the equilateral triangle

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

i'm going to say 12 if i'm wrong i'm sorry

Step-by-step explanation:

Answer:

Suppose the slope of a line were to decrease. Then it would get flatter. These conditions are true whether or not the slope was positive or negative to begin with. A higher positive slope means a steeper upward tilt to the line, while a smaller positive slope means a flatter upward tilt to the line.

For a decreasing function, the slope is negative. The output values decrease as the input values increase. A line with a negative slope slants downward from left to right as in (b). If the function is constant, the output values are the same for all input values so the slope is zero.

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

i guess you need to refer the volume column...

Step-by-step explanation:

Hope it helps!!!

Answer:

Please refer to the image

Step-by-step explanation:

Based on the amount of wheat exported by Canada and Mexico, the number of times more wheat exported by Canada over Mexico is 0.26 times.

This can be found by the formula:

= Amount of wheat exported by Canada / Amount of wheat exported by Mexico

Solving gives:

= (2.21 x 107) / (8.5 x 105)

= 236.47 / 892.5

= 0.26 times

Find out more on country exports at https://brainly.com/question/20537024.

to get the equation of any straight line, we simply need two points off of it, let's use those points in the graph

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{0}}}\implies \cfrac{2+4}{4}\implies \cfrac{6}{4}\implies \cfrac{3}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y+4=\cfrac{3}{2}x\implies y=\cfrac{3}{2}x-4[/tex]

Answer:

-2 ≥ y

Step-by-step explanation:

-5y-8≤2

   +8 +8

—————-

-5y≤10

——-—-

-5     -5

————-

y ≤ -2

change sign

-2 ≥ y

Answer:

The surface area increases by 4 times.

Step-by-step explanation:

square root of 288 = 16.970562.... (= 1 side)

1 side(x2) = 33.941125...... (= double of the side)

New area = new side squared

(33.94111....) squared =  1,152 (new area)

1,152/288 = 4    

new area is 4 times bigger

288 x4 = 1,152

Answer:

200 because i trust a calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression (1+0.0325)^t represents amount in account after t years for 1 dollar. So multiplying the expression by 500 which is the initial deposit amount means it represents the amount of money in the account after t years.

A) 80

B)-60

C) 2

D) -54

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

f(-3) simply means finding -3 for on the x axis and location its y coordinate. Hope it helps!

Answer:

994

Step-by-step explanation:

First, let's translate the statement into a mathematical expression.

Now, we can evaluate the expression when t = 2.

Answer:

994

Step-by-step explanation:

(8+2)=10

(10) to the power of 3=1000

100-6=994

Answer:

Step-by-step explanation:

Place the numbers representing the divisor and the dividend into a division-like configuration.

−5

1

−5

2

−10

0

The first number in the dividend (1)

is put into the first position of the result area (below the horizontal line).

−5

1

−5

2

−10

0

1

Multiply the newest entry in the result (1)

by the divisor (−5) and place the result of (−5) under the next term in the dividend (−5)

.

−5

1

−5

2

−10

0

  −5

1

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

1

−10

Multiply the newest entry in the result (−10)

by the divisor (−5) and place the result of (50) under the next term in the dividend (2)

.

−5

1

−5

2

−10

0

  −5

50

1

−10

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

1

−10

52

Multiply the newest entry in the result (52)

by the divisor (−5) and place the result of (−260) under the next term in the dividend (−10)

.

−5

1

−5

2

−10

0

  −5

50

−260

1

−10

52

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

1

−10

52

−270

Multiply the newest entry in the result (−270)

by the divisor (−5) and place the result of (1350) under the next term in the dividend (0)

.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

−5

1

−5

2

−10

0

  −5

50

−260

1350

1

−10

52

−270

1350

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

1x3+−10x2+(52)x−270+1350x+5

Simplify the quotient polynomial.

x3−10x2+52x−270+1350x+5

Answer: 17 degrees

Step-by-step explanation:

Answer:

(-3,5)

Step-by-step explanation:

Answer:

81.5+2.6=84.1

understand: we have to add the weight lost to her current weight to find the original weight.

plan: first we take 81.5 and add the weight lost to it 2.6

solution: 81.5+2.6=84.1

check: 84.1-2.6=81.5

:]

Answer:

605

Step-by-step explanation:

12(x-y)3+19x-37

x=30 y=28

12(30-28)3 +19(30)-37

12(2)3 + 570-37

72 +533 =605