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3 years ago

The difference of twice a number and 7 is less than or equal to -29.

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

2c -7 ≤ -29

Step-by-step explanation:

2c -7 ≤ -29

c = the number

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3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.

Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

$3x^3+21x^2+36x=0$

Taking 3x common.

$3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0$

x = 3

$x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3$

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0

3 years ago

Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation

ruslelena [56]

<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

7 0

3 years ago

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is

wolverine [178]

Answer:

The differential equation is $\frac{dR}{dt} = -kR$

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

$\frac{dR}{dt}$

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

$\frac{dR}{dt} = -kR$

7 0

3 years ago

What is 13 - x = -7 what is x in this equation

Zielflug [23.3K]

Answer:

x = 20

(hope i helped)

3 0

3 years ago

Read 2 more answers

Identify the pairs of corresponding angles

topjm [15]

Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

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3 years ago