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andre [41]
3 years ago
8

Complete this sentence. If volume remains the same while the mass of a substance ________, the density of the substance will____

___________.
increases, stay the same
decreases, stay the same
decreases, increase
increases, increase
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
Since the
density =mass /volume
if volume is constant we can rewrite the density equation as
volume=mass / density
since volume is just a constant
c*density=mass
where c is some constant that denotes the constant volume
mass and density will be proportional to each other or in other words will be have exactly in the same way if one increase the other will increase if one decreases the other will decrease if one stays constant the other will stay constant
only the fourth choice satisfies the proportionality condition so it must be the correct choice
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A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
IrinaVladis [17]

Answer:

y = -4x+5

Step-by-step explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5

8 0
3 years ago
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PLS HELP Given the following table with selected values of the linear functions g(x) and h(x), determine the x-intercept of g(h(
kiruha [24]

Using linear and composite functions, it is found that the x-intercept of g(h(x)) is x = -\frac{5}{6}, given by option B.

-------------------------------

The equation of a line is:

y = mx + b

In which:

  • m is the slope.
  • b is the y-intercept.

Function g:

  • Two of the points are (-6,16) and (-4,10).
  • The slope is given by <u>change in y divided by change in x</u>, thus:

m = \frac{10 - 16}{-4 - (-6)} = -3

Thus:

g(x) = -3x + b

Point (-4,10) means that when x = -4, g(x) = 10, and we use this to find b, so:

10 = -3(-4) + b

12 + b = 10

b = -2

Then

g(x) = -3x - 2

Function h:

  • Two of the points are (-6,-11) and (-4,-7).
  • The slope is:

m = \frac{-7 - (-11)}{-4 - (-6)} = \frac{4}{2} = 2

Thus:

h(x) = 2x + b

Point (-4,-7) means that when x = -4, h(x) = -7, and we use this to find b, so:

-7 = 2(-4) + b

-8 + b = -7

b = 1

Then

h(x) = 2x + 1

The composite function is:

g(h(x)) = g(2x + 1) = -3(2x + 1) - 2 = -6x - 3 - 2 = -6x - 5

The x-intercept it the zero of the function, thus:

-6x - 5 = 0

6x = -5

x = -\frac{5}{6}

Which is option B.

A similar problem is given at brainly.com/question/21010520

6 0
2 years ago
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If 3 cats catch 3 rats in 3 minutes, how many cats will catch 100 rats in 100 minutes?
Lady_Fox [76]
3 cats can catch 3 rats in 3 minutes ==> 1 rat per minute.

It takes 3 cats to catch 1 rat per minute.

100 rats in 100 minutes ==> 1 rat per minute

The same <u>3 cats</u> can do it, if they don't wear out and take naps.
5 0
3 years ago
(04.05 LC)
Komok [63]

correct answer is option d.

<u>Step-by-step explanation:</u>

Here, we have The following expression to check Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2 :

<u>a. x3 + 3x2 − 5x − 15 </u>

For -\sqrt{3} ,  x^{3} + 3x^{2} -5x -15  ⇒ (-\sqrt{3}) ^{3} + 3(-\sqrt{3} )^{2} -5(-\sqrt{3} ) -15 \neq  0 . So, this isn't the one. We move on further!

<u>b. x3 + 2x2 − 3x − 6 </u>

For -\sqrt{3} ,  x^{3} + 2x^{2} -3x -6  ⇒ (-\sqrt{3}) ^{3} + 2(-\sqrt{3} )^{2} -3(-\sqrt{3} ) -6  = 0 .

For \sqrt{3} ,  x^{3} + 2x^{2} -3x -6  ⇒ (\sqrt{3}) ^{3} + 2(\sqrt{3} )^{2} -3(\sqrt{3} ) -6 = 0.

For 2 ,  x^{3} + 2x^{2} -3x -6  ⇒ (2) ^{3} + 2(2)^{2} -3(2 ) -6\neq 0 . So, this isn't the one. We move on further!

<u>c. x3 − 3x2 − 5x + 15 </u>

For -\sqrt{3} ,  x^{3}- 3x^{2} -5x -15  ⇒ (-\sqrt{3}) ^{3}- 3(-\sqrt{3} )^{2} -5(-\sqrt{3} ) -15 \neq  0 . So, this isn't the one. We move on further!

<u>d. x3 − 2x2 − 3x + 6</u>

For -\sqrt{3} ,  x^{3} - 2x^{2} -3x +6  ⇒ (-\sqrt{3}) ^{3} - 2(-\sqrt{3} )^{2} -3(-\sqrt{3} ) +6  = 0 .

For \sqrt{3} ,  x^{3} - 2x^{2} -3x +6  ⇒ (\sqrt{3}) ^{3} -2(\sqrt{3} )^{2} -3(\sqrt{3} ) +6 = 0.

For 2 ,  x^{3} - 2x^{2} -3x +6  ⇒ (2) ^{3} - 2(2)^{2} -3(2 ) +6 = 0.

Therefore, correct answer is option d.

6 0
3 years ago
The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is its greatest possible v
diamong [38]
L= 3w

2(3w + w) = 112

6w + 2w = 112
8w = 112

W= 14

The greatest possible value for width is 14
7 0
3 years ago
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