Give an example of a quadratic function that has only real zeros and an example of one that has only nonreal complex zeros
How do their graphs compare? Explain how to determine from a graph whether a quadratic function has real zeros.

Answer:

4x^2-9x+7+\frac{x-2}{x^2+x+1}

Step-by-step explanation:

Here is a hopefully helpful answer! :)

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:Accurate

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The percentage increase of the score will be equal to 30%.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the per cent sign, "%

Here it is given that

First history score =70

Second history test = 91

The percentage increase will be given by

\(PE =\dfrac{91-70}{70}=30\%\)

Hence the percentage increase of the score will be equal to 30%

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Answer:

4.91666666667

Step-by-step explanation:

this is what i got

either 9/2 x 8/3 or 9/2 x 3/8

The inequalities representing the graph are y ≥ - 3x + 2 and y ≥ (2/3)x - 1.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

First, we have to determine the two lines.

Line₁.

(0, 2) and (1, - 1).

m = (- 1 - 2)/(1 - 0).

m = - 3.

- 1 = - 3(1) + b.

b = 2.

y = - 3x + 2.

Line₂.

(0, - 2) and (3, 0).

m = (0 + 2)/(3 - 0).

m = 2/3.

0 = (2/3)(3) + b.

b = - 1.

y = (2/3)x - 1.

So, The two inequalities are y ≥ - 3x + 2 and y ≥ (2/3)x - 1.

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Answer:

The answer is 10 square root of 3

Step-by-step explanation:

Hope this helps!

Answer:

Assuming that the question is asking how many employees there are, your answer would be 675.

Step-by-step explanation:

The surface area of the given rectangular pyramid is approximately 237.24 square feet.

To calculate the surface area of a rectangular pyramid, you need to consider the base and the four triangular faces.

The base of the pyramid is a rectangle, so its surface area is given by the formula: length × width.

Given that the length of the base is 8 feet and the width is 9 feet, the area of the base is 8 × 9 = 72 square feet.

To calculate the surface area of the four triangular faces, we need to find the area of each triangle and then sum them up.

The area of a triangle can be calculated using the formula: 0.5 × base × height.

In this case, the base of each triangle is the same as the width of the rectangular base (9 feet), and the height is the slant height of the pyramid.

To find the slant height, we can use the Pythagorean theorem, since the slant height, the height of the pyramid, and the width of the base form a right triangle.

The slant height can be found using the formula: √(height² + (0.5 × width)²).

Given that the width is 9 feet and the height is 8 feet, the slant height can be calculated as follows:

slant height = √(8² + (0.5 × 9)²)

slant height = √(64 + 20.25)

slant height = √84.25

slant height ≈ 9.18 feet

Now, we can calculate the area of each triangle:

area of triangle = 0.5 × base × height

area of triangle = 0.5 × 9 × 9.18

area of triangle ≈ 41.31 square feet

Since there are four triangular faces, the total surface area of the pyramid is:

total surface area = area of base + 4 × area of triangles

total surface area = 72 + 4 × 41.31

total surface area = 72 + 165.24

total surface area ≈ 237.24 square feet

Therefore, the surface area of the given rectangular pyramid is approximately 237.24 square feet.

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Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Answer:

The choice C.

\(11 \frac{1}{2} \)

Step-by-step explanation:

\(15 \frac{5}{6} - 4 \frac{1}{3} \\ \\ \frac{95}{6} - \frac{13}{3} \\ \\ \frac{95}{6} - \frac{26}{6} = \frac{69}{6} \\ \\ \frac{69 \div 3}{6 \div 3} = \frac{23}{2} = 11 \frac{1}{2} \)

\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)

ok done. Thank to me :>

Answer:

900000

Step-by-step explanation:

= (3 x 10 ^ 2) (3 x 10 ^ 3)

= (3 x 100) (3 x 1000)

= (300) (3000)

= 900000

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

310.3

Step-by-step explanation:

310.286 to round nearest tenth here,

after decimal 6 is greater than 5 So, we add 1 to the previous number i.e., 8 + 1 = 9 here, we get

310.29

Similarly, after decimal the 9 is greater than 5 then we add 1 to the previous number i.e., 2 + 1 = 3. So, our final answer is 310.3

Thus, Round 310.286 to the nearest tenth is 301.3

-TheUnknownScientist

The probability of the event between two and five lines, inclusive, are in use is 0.85.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that,

x         0         1         2       3        4         5         6

p(x)   0.12    0.18   0.20  0.20  0.20   0.07   0.03

a) At most three lines are in use

Here we need to find the probability for x≤3.

P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)

= 0.12+0.18+0.20+0.20

= 0.70

b) Fewer than three lines are in use

Here we need to find the probability for x<3.

P(x<3)=P(x=0)+P(x=1)+P(x=2)

= 0.12+0.18+0.20

= 0.50

c) At least three lines are in use

Here we need to find the probability for x≥3.

P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)

= 0.20+0.20+0.07+0.03

= 0.50

d) Between two and five lines, inclusive, are in use

Here we need to find the probability for 2≤x≤5.

P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)

= 0.18+0.20+0.20+0.20+0.07

= 0.85

Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.

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Answer:

85

Step-by-step explanation:

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

It is the sum of each separate rate.

In this problem, the rates are given by:

Hence the together rate is given by:

\(\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}\)

\(\frac{1}{x} = \frac{1}{3} + \frac{1}{4}\)

\(\frac{1}{x} = \frac{4 + 3}{12}\)

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

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The unknown factor means it's a number that can evenly be divided into the original number to get the quotient. ... A quotient is the answer in division. The divisor (denominator) and the quotient are the factors.

The compound interest is 61.342 years

What is compound interest ?

The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.

Formulas for Compound Interest

Formula for Monthly Compound Interest.

Compounded Quarterly Formula: Interest compounded monthly is calculated 12 times a year. Four times a year are used to calculate interest that is compounded quarterly.

Formulas for compound interest are available on a daily, annual, and other basis.

A = 1700

P = 500

r = 2%

n = 4

r = R/100

r = 2/100

r = 0.02 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.02/4)] )

t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.005)] )

t = 61.342 years

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The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

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Step-by-step explanation:

Confidence interval is:

CI = x ± CV · SE

where x is the mean, CV is the critical value, and SE is the standard error.

There is no difference between the population means, so x = 0.

The confidence level is 95%, so CV = 1.96.

SE = 0.69.

So the confidence interval is:

CI = 0 ± (1.96) (0.69)

CI = (-1.35, 1.35)

1.74 is outside of the confidence interval, so it is statistically significant.

Answer:

Step-by-step explanation:

same i need help

Answer & Step-by-step explanation:

4(y + 2) - 2

Distribute 4 to (y + 2)

4y + 8 - 2

Combine like terms

4y + 6

So, your answer in the simplest form is 4y + 6

Answer:

This, polynomial has order 7.

Step-by-step explanation:

Given the polynomial

P(x) = 3 – 2x2 + 5x5 – 7x7

\(P(x) = 3 - 2x^2+ 5x^5 - 7x^7\)

Order for any polynomial is highest exponential value for variables . The exponent for polynomial is also called as degree.

Hence in terms of degree, the term in polynomial which has  the highest degree . That degree is the order of the polynomial.

For example ,

in \(x^5 + x^8 + x^9\)

here we see that variable x has highest power of 9. Thus, order of the given equation is 9.

Similarly for the polynomial given we see that

in the polynomial \(P(x) = 3 - 2x^2+ 5x^5 - 7x^7\)

x has three power 2, 5 and 7 .

As 7 is the highest power of P(x) = 3 - 2x^2+ 5x^5 - 7x^7

This, polynomial has order 7.

9514 1404 393

Answer:

  $287.94

Step-by-step explanation:

The final cost is found by multiplying the cost by the various factors:

  $299 × 1.07 × 0.90 ≈ $287.94

Answer:

0.6

Step-by-step explanation:

-4.5-5.1=0.6

Answer:

2

Step-by-step explanation:

Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.