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3 years ago

Algebra Math

1 answer:

4 0

Since 66 kilograms is 3 times the smaller carton, we do 66/3 to find that the smaller carton weighs 22 kilograms

Hope this helps

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PLEASE SHOW YOUR WORK. thanks

astra-53 [7]

Answer:

75%

The drawings will help

Refer to the first one to help understand the second.

3 0

4 years ago

The original rectangle has a perimeter of 16

svet-max [94.6K]

12.4 / 6.2 = 2

so other side of enlarged rectangle = 1.8 x 2 = 3.6

Perimeter of enlarged rectangle = 2(3.6 + 12.4) = 32

Answer: 32 feet

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Another way to do:

12.4 / 6.2 = 2

SF = 2

The original rectangle has a perimeter of 16

Perimeter of the enlarged rectangle = 16 x 2 = 32

Answer: 32 feet

5 0

4 years ago

function g is a transformation of the parent exponential function f(x)=x^2. the graph of g is a translation right 5 and up 1 uni

adell [148]

The equation of g in the form y = ax² + bx +c is g(x) = x² - 10x + 26

What is a function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Horizontal translation:

For a general function f(x) an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x) a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

First, we apply a translation to the right of 5 units, then at the moment we have:

g(x) = f(x - 5)

Then we translate the graph up 1 units, then:

g(x) = f(x - 5) + 1

Now we can replace it by the actual function to get:

g(x) = (x - 5)^2 + 1

= x² - 2*5*x + 25 + 1

= x² - 10x + 26

To learn more about a function from the given link

brainly.com/question/22340031

#SPJ9

4 0

1 year ago

Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

3 0

2 years ago

How to solve 2×4÷3+5

Nataly [62]

You will need to follow order of operations, which states that operations must be completed in the following order: parentheses, exponents, multiplication and division, and then addition and subtraction.

In this case, there are no parentheses and no exponents, so we will start with the multiplication and division:

$2 \cdot 4 \div 3 + 5 = (2 \cdot 4 \div 3) + 5$