Answer:
### What is a quadratic equation?

The **function **written in **vertex **form; f(x) = (x + 3)^2 + 2x. Hence, correct **option **is D.

A **quadratic equation** is the second-order degree **algebraic expression **in a **variable**.

The **standard **form of this **expression **is ax² + bx + c = 0 where a. b are **coefficients **and x is the **variable **and c is a **constant**.

x² + 2x + 3 = 0 is a **quadratic equation.**

An **algebra **tile configuration showing Only the **Product **spot is shown. 6 tiles are in the **Product **spot in 4 **columns **with 2 **rows**.

**First **row: 1 + x **squared**, 1 + x.

**Second **row: 1 + x, 3 +.

Then,

The **factors **of the **polynomial **are;

(2x + 3) (x + 1)

Thus, the **function **written in **vertex **form;

f(x) = (x + 3)^2 + 2x

Hence, correct **option **is D.

More about the **quadratic equation **link is given below;

#SPJ5

Answer:

**Answer:**

The factors of the polynomial are (2x + 3) (x + 1)

**Step-by-step explanation:**

a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044

Question 6(06.02 MC)Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)6t - 5Ob5t-6С5 - 6tOd6-50

What is an example of "interval level"?

What is the answer too 4(2x+1)

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle? A. 25° B. 55° C. 85° D. 125°

Question 6(06.02 MC)Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)6t - 5Ob5t-6С5 - 6tOd6-50

What is an example of "interval level"?

What is the answer too 4(2x+1)

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle? A. 25° B. 55° C. 85° D. 125°

x/3-x-1/2≥1 a. x≤-3 b. x≥-3 c. x≤3 d. x≥3

**Answer:**

x ≤-9/4

**Step-by-step explanation:**

x/3-x-1/2≥1

Multiply each side by 6 to get rid of the fractions

6(x/3-x-1/2)≥1*6

2x -6x -3≥6

Combine like terms

-4x-3≥6

Add 3 to each side

-4x-3+3≥6+3

-4x ≥9

Divide each side by -4, remembering to flip the inequality

-4x/-4 ≤9/-4

x ≤-9/4

B)square root of 3

C) 2 timessquare root of 3

D)5

To find the length of the triangle first find the two coordinates with a common x coordinate, (1,-1) and (1,2). Now find the difference between their y coordinates, -1 and 2. This means that the length of the triangle is 3.

To find the width of the triangle first find the two coordinates with a common y coordinate, (-3,-1) and (1,-1). Now find the difference between their x coordinates, -3 and 1. This means that the width of the triangle is 4.

By Pythagoras' theorem, we know that . Inserting our newfound values into this equation, we an find thelength of the hypotenuse:

Therefore, your answer is D0 5. To visualise this question better, you can plot the points on a graph.

To find the width of the triangle first find the two coordinates with a common y coordinate, (-3,-1) and (1,-1). Now find the difference between their x coordinates, -3 and 1. This means that the width of the triangle is 4.

By Pythagoras' theorem, we know that . Inserting our newfound values into this equation, we an find thelength of the hypotenuse:

Therefore, your answer is D0 5. To visualise this question better, you can plot the points on a graph.

**Answer: 90/8=11.25**

**Step-by-step explanation:**

**Answer:**

27.76% probability that a randomly selected bag of this size has 10 or more green candies

**Step-by-step explanation:**

I am going to use the normal approximation to the binomial to solve this question.

**Binomial probability distribution**

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

**The expected value of the binomial distribution is:**

**The standard deviation of the binomial distribution is:**

**Normal probability distribution**

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that , .

**In this problem, we have that:**

So

**What is the probability that a randomly selected bag of this size has 10 or more green candies**

Using continuity correction, this is , which is 1 subtracted by the pvalue of Z when X = 9.5. So

has a pvalue of 0.7224

1 - 0.7224 = 0.2776

27.76% probability that a randomly selected bag of this size has 10 or more green candies

**Answer:**

**Step-by-step explanation:**

The number x of green candies in a bag of 40 candies follows a binomial distribution, because we have:

- n identical and independent events: 40 candies
- a probability p of success and (1-p) of fail: a probability of 0.2 to get a green candie and 0.8 to doesn't get a green candie.

So, the probability that in a bag of 40 candies, x are green is calculated as:

Replacing, n by 40 and p by 0.2, we get:

So, the probability that a randomly selected bag of this size has 10 or more green candies is equal to:

Where

So, we can calculated P(0) and P(1) as:

At the same way, we can calculated P(2), P(3), P(4), P(5), P(6), P(7), P(8) and P(9) and get that P(x<10) is equal to:

Finally, the probability that a randomly selected bag of this size has 10 or more green candies is:

**Answer:**

Therefore, we conclude that the statement in **(A)** is incorrect.

**Step-by-step explanation:**

We have the following sentences:

A) If the probability of an event occurring is 1.5, then it is certain that event will occur.

B) If the probability of an event occurring is 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that is equal to 1.5.

Therefore, we conclude that the statement in **(A)** is incorrect.

**Answer:**

5 feet per 1 cm

**Step-by-step explanation:**

**Answer:**

The answer is **5 feet.**

**Step-by-step explanation:**

Set up a proportion.

3/15 = 1/x (x being the number of feet)

Cross multiply.

3x = 15

Solve for x. (divide both sides by 3)

x = 5

I hope this helps! :)