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3 years ago

Drag the simplified value into the box to match each expression.

Mathematics

1 answer:

Maru [420]3 years ago

3 0

Answer:

The answers are as follows: 12 106 42

Step-by-step explanation:

Given: $18 - 4^2 + 5 \times 2$

Using BODMAS rule (Bracket, Of, Division, Multiplication, Addition and Subtraction) we would calculate $18 - 4^2$ separately and $5 \times 2$ separately and add them. So we have $18 - 16 + 10 = 2 + 10 =12$ .

Now for the second question: $9^2 + 4 \times 7 - 3$ . we would get $81 + 28 - 3 = 106$

Next, $5^2 - 4 + 7 \times 3$ . This could be written as: $25 - 4 + 21 = 42$ . Hence the answers.

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Find the inverse, g−1(x), of the following function: g(x) = 4x - 11

Sphinxa [80]

Answer:

$g^{-1}$ (x) = $\frac{x+11}{4}$

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

$\frac{y+11}{4}$ = x

Change y back into terms of x , with x = $g^{-1}$ (x) , thus

$g^{-1}$ (x) = $\frac{x+11}{4}$

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2 years ago

On a map, 1 inch equals 10 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?

valentina_108 [34]

Answer:

The answer is 60 miles.

Step-by-step explanation:

Each inch is 10 miles and there are 6 inches. This means that the cities and 60 miles apart.

8 0

2 years ago

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What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

Debora [2.8K]

Answer:

the answer is 25

Step-by-step explanation:

and you get it by multiplying 9×4 keep the answer on paper then do 2×2 which is 4 subtract the two answers and subtract 7 and then you get 25, your welcome

6 0

2 years ago

Read 2 more answers

The rectangle below has an area of x2 + 11x + 28 square meters and a length of 2 + 7 meters.

Troyanec [42]

<h3><u>Question:</u></h3>

The rectangle below has an Área of x^2 + 11x + 28 square meters and a length of x+7 meters. What expression represents the width of the rectangle?

<h3><u>Answer:</u></h3>

The expression representing width of rectangle is (x + 4) meters

<h3><u>Solution:</u></h3>

Given that rectangle has an area x^2 + 11x + 28 square meters and a length of x + 7 meters

To find: width of the rectangle

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Here area = x^2 + 11x + 28 square meters

length = x + 7 meters

<em><u>Substituting the values in given formula,</u></em>

$\begin{array}{l}{\text { width }=\frac{x^{2}+11 x+28}{x+7}} \\\\ {\text { width }=\frac{x^{2}+4 x+7 x+28}{x+7}} \\\\ {\text { width }=\frac{x(x+4)+7(x+4)}{x+7}} \\\\ {\text { width }=\frac{(x+4)(x+7)}{x+7}}\end{array}$

Cancelling (x + 7) on numerator and denominator,

$\text { width }=(x+4)$

Thus expression representing width of rectangle is (x + 4) meters

3 0

2 years ago

How do you do this I have no idea and this thing has to be 20 characters long so all right

Ronch [10]

-3(5/6)v - 1 = -6(3/4)

To start off, we can simplify by multiplying the fractions with their whole numbers.

-15/6x - 1 = -18/4

Further simplify

-5/2x - 1 = -9/2

Now we can multiply everything times 2 to get rid of the fractions

-5x - 2 = -9

Now we will isolate the x value. Add 2 to both sides.

-5x = -7

Finally, divide all by -5 to get the final answer.

x = 7/5

Hope I helped you out!

4 0

2 years ago