F(x)=(x−7)2−64 Find the zeros of the function. Enter the solutions from least to greatest.

For each of these relations on the set {21, 22, 23, 24}, decide whether it is reflexive, whether it is symmetric, whether it is

bonufazy [111]

Answer:

Step-by-step explanation:

I. { (22,22) , (22,23) , (22,24) , (23,22) , (23,23) , (23,24) }

Reflexive : True because we see the pairs (22,22) , (23,23)..

Symmetrix : NO, as we see the pairs (22,24) BUT NOT (24,22)

Transitive : YES, As we see (22,22 ) and (22, 24) , we see the pairs (22,24)

Antisymmetric : NO

II){ (21,21) , (21,22) , (22,21) , (22,22) , (23,23) , (24,24) }

Reflexive : True because we see the pairs (22,22) , (23,23) (21,21)

Symmetrix : Yes, as we see the pairs (21,22) AND (22,21)

Transitive : YES,

Antisymmetric : NO

7 0

3 years ago

Read 2 more answers

Factorise the following.

spin [16.1K]

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

3 0

3 years ago

A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and

Readme [11.4K]

Answer:

$a(t) =n(0.25t^2)$

Step-by-step explanation:

Given

$r(t) = 0.5t$

$a(r) = nr^2$

Required

Determine the area in terms of time

From the question, we have:

$r(t) = 0.5t$ -> radius per time

and

$a(r) = nr^2$ --> area from radius

The interpretation of the question is to find the composite function: a(t)

If $a(r) = nr^2$ , and $r(t) = 0.5t$ , the

Substitute 0.5t for r

$a(t) =n(0.5t)^2$

$a(t) =n*0.25t^2$

$a(t) =n(0.25t^2)$

5 0

3 years ago

The lowest temperature ever recorded at Oymyakon in Russia was 96.2°F below 0°F. The lowest temperature ever recorded at Prospec

Alekssandra [29.7K]

Answer:

Thermometer reading of the lowest recorded temperature at Oymyakon was -96.2° F

Thermometer reading of the lowest recorded temperature at Prospect Creek was -80° F

Step-by-step explanation:

If the temperature is x° F below 0° F then the thermometer reading is -x° F

It is given that the Lowest temperature recorded at Oymyakon in Russai was 96.2°F below 0°F

So the thermometer reading of the lowest recorded temperature at Oymyakon was -96.2° F

Also it is given that the Lowest temperature recorded at Prospect Creek in Alaska was 80°F below 0° F

So the thermometer reading of the lowest recorded temperature at Prospect Creek was -80° F

7 0

3 years ago

8. A square has side length 6 inches. A parallelogram has a base of 6 inches,

wlad13 [49]

Answer:

The height is 6 inches.

Step-by-step explanation:

Area of the square = length of a side squared.

This square has area 6^2 = 36 in^2.

Area of the parallelogram = base * height

= 6h.

As the areas are equal:

6h = 36

h = 36/6 = 6 inches.

6 0

3 years ago