Solve the following equation using the quadratic formula.
2x2 + 5x – 42 = 0
Select all solutions that apply.
x= 1.5
x= -4.
Ox= 3.5
Ox= -6

Answer:

If those are the dimensions the surface area is 6 meters

Step-by-step explanation:

cubes have six sides and each side is one unit

Answer:

70

Step-by-step explanation:

cows:sheep=6:5

sheep:pigs=2:1

cows:sheep:pigs=12:10:5

27x=189

x=7

sheep=10*7

sheep=70

Answer:

There are 84 cattle, 70 sheep and 35 pigs

Step-by-step explanation:

We're told three things:

Starting off, let's express the the last point as an equation:

c + s + p = 189

To solve this, we need to eliminate variables by substituting others in their place.  Let's start with cattle to sheep.  Using the 6:5 ratio of cattle to sheep:

c / 6 = s / 5

s = 5c / 6

Let's update our equation to match that

c + 5c / 6 + p = 189

Now to eliminate pigs. We know that there is one pig for every two sheep.  So:

p = s / 2

We can substitute our relationship with cattle to sheep in to that to express p as a function of c:

p = (5c / 6) / 2

p = 5c / 12

Now we can substitute that into the original equation

c + 5c / 6 + 5c / 12 = 189

Now we can solve for c:

c + 5c / 6 + 5c / 12 = 189

12c / 12 + 10c / 12 + 5c / 12 = 189

(12 + 10 + 5)c / 12 = 189

27c / 12 = 189

9c / 4 = 189

9c = 756

c = 84

So there are 84 cattle.  We can use the original given relationships to find the rest.

s = 5 × 84 / 6

s = 5 × 14

s = 70

p = s / 2

p = 70 / 2

p = 35

So there are 84 cattle, 70 sheep and 35 pigs

Let's double check:

84 + 70 + 35 = 189  - correct

70 / 2 = 35 - correct

5 * 84 / 6 = 70 - correct

So the answer is correct.

Answer:

Triangle Q R S is congruent to Triangle X Y Z

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Total flowers - roses = 9

15 - 6 = 9

Answer:

x= 1.75

Step-by-step explanation:

I uhm *whispers* used mat hway

Answer:

7/4

Step-by-step explanation:

10x - 8 = 2x + 6

-2x        -2x

8x - 8 = 6

    + 8   +8

8x = 14

8      8

14/8 can be reduced to 7/4.

14/8 ÷ 2/2 = 7/4

Answer:

Dan made $37 washing cars

equation: 41 + n = 78

Step-by-step explanation:

41 + n = 78

to solve, subtract 41 on both sides of the equation:

41 - 41 + n = 78 - 41

n = 37

Answer:

[tex]\sqrt{8x^{2} }[/tex]+5-3 = 8.12

8.12 rounded to nears whole number is 8

therefore 8.12 rounded down to three decimal places is 8.1

Therefore your answer would be 8.1

If it wont let you add a decimal your answer would also be 8

Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

Step-by-step explanation:

y = -11x - 4

y + 11x = -4

y + 11x + 4 = 0

I'm pretty sure that's the standard form

Answer:

324=

[tex]2 \times 2 \times 3 \times 3 \times 3 \times 3[/tex]

[tex] = 2 {}^{2} \times 3 {}^{4} [/tex]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

[tex]f(t) = 15(0.86)^t[/tex]

Required

Determine the rate of decay

In an exponential function [tex]f(x) = ab^x[/tex],

The decay rate of the function is calculated as:

[tex]1 - r = b[/tex]

By comparison:

[tex]b = 0.86[/tex]

So, the equation becomes:

[tex]1 - r = 0.86[/tex]

Make r the subject

[tex]r = 1 - 0.86[/tex]

[tex]r = 0.14[/tex]

The rate of decay is 0.14

Answer:

21 gallons

Step-by-step explanation:

You multiply the amount of go-carts(7) by the amount of gas each go-cart takes(3 gallons.) You get 21 gallons for all the go-carts.

Answer:

Are political systems related to collective violence and war? This is now fundamentally answered in one of three ways: yes, democracies are least violence prone; yes, socialist equalitarianism assures peace; and no, political systems and violence are unrelated.

Recent theoretical and empirical research confirms the first answer: those political systems that maximize and guarantee individual freedom (democracies) are least violence prone; those that maximize the subordination of all individual behavior to state control (totalitarian systems) the most, whether socialist or not; and wars do not occur between democracies.

Known for centuries, a tenet of classical liberalism, the pacific nature of democracy has became largely forgotten or ignored in the last half-century. That democracy is inherently peaceful is now probably believed by no more than a few prominent peace researchers. In part this has been due to the intellectual defection of Western intellectuals from classical liberalism to some variant of socialism, with its emphasis on the competitive violence and bellicosity of capitalist freedoms. Many intellectuals, and in particularly European and Third World peace researchers, have come to believe that socialist equalitarianism is the answer to violence; others, particularly American liberals, believe that if the socialist are wrong, then at least democracies are no better than other political systems in promoting peace.

Socialism aside, there also has been a rejection of Western values, of which individual freedom is prominent, and acceptance of some form of value-relativism (thus, no political system is better than any other). In some cases this rejection has turned to outright hostility and particularly anti-Americanism, and thus opposition to American values, such as freedom. To accept, therefore, that democratic freedom is inherently most peaceful, is to the value-relativist, to say the unacceptable--that it is better. For another, to accept that this freedom promotes non-violence seems to take sides in what is perceived as the global ideological struggle or power game between the United States and Soviet Union.

Independent of different ideological or philosophical perspectives, several interacting methodological errors have blinded intellectuals and peace researchers to the peacefulness of democracies. One of these is the strong, general tendency to see only national characteristics and overall behavior. Then a nation is rich or poor, powerful or weak, belligerent or pacific. But most important for identifying the relationship between freedom and violence is rather the similarities and differences between two states and their mutual behavior. Thus should be observed a lack of violence and war between democracies; and the most severe violence occurring between those nations with the least freedom.

Another error has been to selectively focus upon the major powers, which include among them not only several democracies having many wars, but also Great Britain having the most. However, a systematic comparison among all the belligerents and neutrals in wars, would uncover the greater peacefulness of democracies.

Along with this selective attention is the tendency to count equally against democracies all of its wars, no matter how mild or small. Thus, the American invasion of Grenada would be one mark against democracy; Hitler's invasion of Poland that initiated World War II would be a similar mark against non-democracies. This stacks any such accounting against democracy.

Finally, while a systematic survey of the literature shows significant support for the inverse relationship between democracy and violence, researchers have done little theoretical testing of this relationship, thus resulting in their overlooking or ignoring it when it appears in their results.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it is a

Answer:

[tex]\sqrt[3]{7} +12[/tex]

Step-by-step explanation:

Use symbolab

Answer:

32 bags with zips but no buttons

+39

= 71 bags have zips on them

Answer:2 AND 3

Step-by-step explanation:

Answer:

4!$!^#&$*/*$($((!(!!!!!!

Answer:

4

Step-by-step explanation:

can you help me with my question

Answer:

Step-by-step explanation:

First you need to graph the two lines.

The solution is the point where the lines intersect.

Answer: B same side interior angles

Step-by-step explanation:

Answer: should be 54m but im not 100% sure if its not right lmk

Step-by-step explanation:

Answer:

g(x) = 4rx + 4r - 4x - 4

Step-by-step explanation:

g(x)= -(x+1)(r-1)(-4)

Answer:

-42(x - 2) and -6(7x - 14)

Step-by-step explanation: