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3 years ago

If 2x^2 equals 3x+2 then what is the sum of 2 solutions

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer:

2x^2=3x+2

2x^2-3x-2=0

(x-2)(x+1/2)=0

x=2 or x=-1/2

The sum of 2 solution 2+-1/2=3/2

Step-by-step explanation:

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Someone plz help me with this

Phoenix [80]

Answer:

$5y^{6}\sqrt{2}$

Step-by-step explanation:

We want to simplify:

$\sqrt{50y^{12}}$

We rewrite as:

$\sqrt{2\times25 \times (y^{6})^2}$

We split the radical sign to obtain:

$\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}$

Simplify the square root for the perfect squares to get:

$5y^{6}\sqrt{2}$

Therefore the simplified form is: $5y^{6}\sqrt{2}$

8 0

3 years ago

3 multiply by 2x - 5 = 27.

jeka94

Answer:

x=2.7

Step-by-step explanation:

27 divided by 5 = 5.4 and 5.4 divided by 2 = 2.7

8 0

4 years ago

A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat

Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =16$ represent the sample variance

s=4 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=36.191$

$\chi^2_{1- \alpha/2}=7.633$

And replacing into the formula for the interval we got:

$\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}$

$8.400 \leq \sigma^2 \leq 39.827$

So the 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

7 0

3 years ago

Standard to slope intercept form: 2x+2y=4

Fofino [41]

The answer would be, y=-x+2

3 0

3 years ago

Please help me on #9 my teacher marked it wrong and I have to correct it

goldfiish [28.3K]

Answer is H. p/5 = 8

Given:
1/5 of the plants in a vegetable garden are cucumber plants.
8 cucumber plants.

Find the total number of plants in the vegetable garden.

8 ÷ 1/5 = p

Steps in dividing fractions.
1) Get reciprocal of 2nd fraction. 1/5 is the 2nd fraction. Its reciprocal is 5/1

2) multiply 1st fraction to the reciprocal of the 2nd fraction
8 * 5/1 = p

3) 8*5 = p ⇒ p = 40

p * 1/5 = 8
p/5 = 8

40/5 = 8
8 = 8

8 0

4 years ago

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