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3 years ago

Which is a counterexample for the following statement?

Mathematics

2 answers:

Digiron [165]3 years ago

7 0

Answer :
2 and 8
1 and 3

lakkis [162]3 years ago

4 0

Answer:

2 and 8

1 and 3

Step-by-step explanation:

statement a+b < a*b

-2 + -8 < -2 * -8 => -10 < 16 TRUE

-1 + -3 < -1 * -3 => -4 < 3 TRUE

1+3 < 1*3 => 4 < 3 FALSE

2 + 8 < 2 * 8 => 10 < 16 FALSE

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where w is width, and l, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b

julia-pushkina [17]

So first we need to find the total before tax. Let's add up the two prices:

$189+192=381$

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

$\frac{6.5}{100}=0.065$

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

$381*0.065=24.77$

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

$381+24.77=405.77$

So now we know that Jon's total bill for these items is $405.77.

4 0

3 years ago

What point the equation

Maslowich

Answer:

The Answer to the question is C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help me please.................................................................

hoa [83]