Determine the number of real or non real solutions of the equation listed below
using the discriminant.
x2 + x + 4 = 0

Answer:

Okay, let’s do some math. To perform the indicated operation, we need to substitute h(x) into g(x) and simplify. That is:

g(h(x)) = g(2x - 7)

= (2x - 7)² - 1

= 4x² - 28x + 49 - 1

= 4x² - 28x + 48

The final answer is 4x² - 28x + 48.

Step-by-step explanation:

Answer:

7/2, 1

Step-by-step explanation:

g(h(x)) = g (2x - 7)

= \(x^{2}\) - 1 (2x - 7)

= 2x³ - 7x² -2x +7

= 2x³ - 2x - 7x² + 7

=2x (x² - 1) -7 (x² - 1)

= (2x - 7) (x² - 1)

thus, the two possible values of x are,

7/2, 1

Answer:

29.4 degrees

Step-by-step explanation:

i divided sin by 55 degrees

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

Step-by-step explanation:

The required value of equation at x = 5 is 24.

Given ;

Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)  

We have to calculate the value of expression when x = 5

To solve the equation substitute x = 5 in the given equation

= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)

= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify the equation

= 4(3)(2) + 7(3)(0) - 6(2)(0)

= 4.(6) + 7(0) - 6(0)

= 24 + 0 - 0

= 24

The required value of the equation at x = 5 is 24.

Answer:

dont know either

Step-by-step explanation:

dont know either

Answer:

3/10 = x or 0.3 = x

Step-by-step explanation:

2.1 /  x + 1 4/5 = 3 / 10x

1. first cross multiply and solve it normally:

3 (x + 1 4/5) = (2.1) 10x

3x + 5 2/5 = 21x

-3x               -3x

5 2/5 = 18x

3/10 = x or 0.3 = x

these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!

hope this helps!

Answer:

x = 3/10 = 0.3

Step-by-step explanation:

{(2.1)/(x+1 4/5)} = 3/10x

x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5

then:

(2.1)/(x+9/5) = 3/10x

10x*2.1 = 3(x+9/5)

21x = 3x+ 27/5

21x - 3x = 27/5

18x = 27/5

90x/5 = 27/5

90x = 27

x = 27/90

x = 3/10 = 0.3

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

Answer:

Step-by-step explanation:

Hope this helps!

The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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Answer:

To divide the powers with the same base, write the power of the common base and an exponent found by subtracting the exponent in the denominator from the exponent in the numerator.

Step-by-step explanation:

According to the Quotient Rule of Exponents:  \(\frac{a^{m} }{a^{n} } = a^{(m - n)}\)

Therefore:

To divide the powers with the same base, write the power of the common base and an exponent found by subtracting the exponent in the denominator from the exponent in the numerator.

Please mark my answers as the Brainliest, if you find this helpful :)

The answers Simplify (2√3)² +(4√2)²

Answer:

Step-by-step explanation:

10 ^15 :10^3 =

10 ^(15-3) =

10 ^12

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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Answer:

A. there is nothing wrong with either division problem

Step-by-step explanation:

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

Answer:

20 +(x+15.5)

Step-by-step explanation:

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

2/5 = 360

Two fifths written as a fraction is 2/5. You can also write it as a decimal by simply dividing 2 by 5 which is 0.40.

If you multiply 0.40 with 900 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.40 with 100 you get 40.00. Which means that our answer of 360.00 is 40.00 percent of 900.

13/15 = 780

7/18 = 350

Answer:

The probability that the sample mean is more than 110 is 0.0384.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sampling distribution of sample mean is given by:

\(\mu_{\bar x}=\mu\)

And the variance of the sampling distribution of sample mean is given by:

\(\sigma^{2}_{\bar x}=\frac{\sigma^{2}}{n}\)

The information provided is:

\(n=50\\\\\mu=100\\\\\sigma^{2}=1600\)

Since n = 50 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the normal distribution.

The mean variance of the sampling distribution for the sample mean are:

\(\mu_{\bar x}=\mu=100\\\\\sigma^{2}_{\bar x}=\frac{\sigma^{2}}{n}=\frac{1600}{50}=32\)

That is, \(\bar X\sim N(100, 32)\).

Compute the probability that the sample mean is more than 110 as follows:

\(P(\bar X>110)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{110-100}{\sqrt{32}})\)

                   \(=P(Z>1.77)\\=1-P(Z<1.77)\\=1-0.96164\\=0.03836\\\approx 0.0384\)

*Use a z-table.

Thus, the probability that the sample mean is more than 110 is 0.0384.

Answer:

The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).

Explanation:

Arithmetic Sequences

In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.

We are given the following sequence:

5, 11, 17, 23, 29, ...

Each term is located in a position starting from n=1. Let's test each option:

A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.

B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.

C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):

5+6(2-1)=5+6=11. Correct. For n=3

5+6(3-1)=5+12=17. Correct.

We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.

D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

Answer:

Step-by-step explanation:

1/3 of 12 = 2/3 of ?

1/3 of 12 =

(12 : 3) =

4

4 * 2 = 8

8 + 4 =

12

Answer:

c

Step-by-step explanation:

when we take the 5 inside the root the 5 vil be 5^2 times 2 which is equal to 50

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

18m-20

Step-by-step explanation:

4(3m-2)+3(2m-4)=

12m-8+6m-12=

collect like terms

12m+6m-8-12=

18m-20

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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