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2 years ago

How do you determine where to place the decimal point in the product?

Mathematics

1 answer:

frez [133]2 years ago

7 0

Let's look at an example:

2.24 x 21.6

$2.24\\ 21.6\\ ______$

Do normal multiplication and get

48384 This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

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Identify the graph of the inequality 2(2x-1)+7<13 or-2x + 5≤-10.

xxMikexx [17]

Answer:

Step-by-step explanation:

(

−

)

Expand LHS

→

−

Divide through by

→

is represented on the real line by the interval

(

−

∞

)

This can be represented on the

−

plane by the area to the left of the vertical line

as graph below.

graph{2(2x-1)+7<13 [-10, 10, -5, 5]}

5 0

1 year ago

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

2 years ago

Which expressions are equivalent to -3(2+7) A: -6+21 or B:-21+6

Neporo4naja [7]

<u>Answer:</u>

None

<u>Explanation:</u>

-3(2+7) = -3×9 = -27

-6+21 = 15

-21+6 = -15

Hence there is no equivalence

3 0

2 years ago

Find the y-intercept for the line represented by this equation -2y=4x+8

ad-work [718]

The y intercept = -4

Also, the slope of the line (if needed) is -2.

6 0

3 years ago

Read 2 more answers

Lexi picked 2 7/10 pounds of strawberries. That afternoon, Lexi’s sister ate 7/8 of the strawberries. How many pounds of strawbe

gavmur [86]

3 $\frac{3}{35}$ pound of strawberry

Step-by-step explanation:

Given parameters:

Pounds of strawberry picked by Lexi =2 $\frac{7}{10}$

Pounds of strawberry eaten by Lexi sister = $\frac{7}{8}$

Unknown:

Pound of strawberry Lexi's sister ate = ?

Solution:

This is a fraction word problem.

Let pound of strawberry eaten by Lexi's sister = K

We can establish that:

Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi

Mathematically we have:

$\frac{7}{8}$ x K = 2 $\frac{7}{10}$

Learn more:

fractions brainly.com/question/1757979

#learnwithBrainly

K = $\frac{27 x 8}{10 x 7}$ = $\frac{216}{70}$

K = 3 $\frac{3}{35}$ pound of strawberry

8 0

2 years ago