All categories

3 years ago

Subtract -7x + 6 from -2x^2 + 9x - 2

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

$( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8$

You might be interested in

A pot is being used to boil off 1 kg of water. The specific energy required to cause the phase change is 2297 kJ/kg. Assuming th

lana66690 [7]

Answer:

It will take 58 seconds

Step-by-step explanation:

If you have 1 kg of water in the jar, half of it will be 0.5 kg.

To vaporize half of the water (0.500 kg) the energy supply needed is

$2297 kJ/kg*0.5kg=1148.5 kJ$

If the stove is supplying 20 kJ/s, the time its needed is

$\frac{1148.5 kJ}{20\frac{KJ}{s} }=57.425 s$

It will last at least 58 seconds to vaporize half of the water.

6 0

3 years ago

What are some equations with -3 as the solution?

erastovalidia [21]

Step-by-step explanation:

Here are some equations

${:}\longrightarrow\sf 3x+9=0$

${:}\longrightarrow\sf x+3=0$

${:}\longrightarrow\sf 6x+18=0$

${:}\longrightarrow\sf x^2-9=0$

${:}\longrightarrow\sf x+7=4$

3 0

3 years ago

A researcher tests the braking distances of several cars. The braking distance from 60 miles per hour to a complete stop on dry

ZanzabumX [31]

Answer:

The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The braking distances of a sample of cars are normally distributed, with a mean of 129 feet and a standard deviation of 5.18 feet.

This means that $\mu = 129, \sigma = 5.18$

What is the longest braking distance one of these cars could have and still be in the bottom 1%?

This is the 1st percentile, which is X when Z has a pvalue of 0.01, so X when Z = -2.327.

$Z = \frac{X - \mu}{\sigma}$

$-2.327 = \frac{X - 129}{5.18}$

$X - 129 = -2.327*5.18$

$X = 116.94$

The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.

5 0

3 years ago

A city population, which was initially 15,500, has been dropping by 3% a year. Write an exponential function and graph the funct

timofeeve [1]

Let be N =8,000., an No =<span>15,500,
we have N = No e^ -k.T
k= </span><span>3% =3/100
T= periode of time
when T=t, N=No=8,000
so 8000=15,500 </span>e^ -(3/100).t
8000 / 15,500 =e^ -(3/100).t, 0.51 = e^ -(3/100).t, and Ln(0.51) = -3/100.t
implies t= [100x Ln(0.51)] /3= 22, 04 years

the answer is 22 years and 4 days

6 0

3 years ago

Which of the following rules represents the function shown in the table?

Furkat [3]

The rule is you must multiply by three.

3 0

4 years ago