All categories

3 years ago

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

1 answer:

3 0

Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2(x + 2) + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

You might be interested in

How do you work this out?

oksian1 [2.3K]

I think this problem is 3

8 0

3 years ago

There are 10 mangoes inside the basket. Each mango weighs 50grams.Approximately, what is the weight the basket if the basket wit

deff fn [24]

Answer:

100 grams.

Step-by-step explanation:

600-(10*50). You're subtracting the weight of 10 mangoes (50 grams for each mango) from 600 grams, which will give you the weight of the basket.

4 0

3 years ago

Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr

posledela

Answer:

$MOE_{95} = 1.192\cdot MOE_{90}$

Step-by-step explanation:

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical of z for 95% confidence level and 90% confidence level are:

$z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}$

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}$

6 0

3 years ago

Classify the triangle by its sides and by its angles

VMariaS [17]

Answer:

Scalene obtuse.

Step-by-step explanation:

Scalene means that none of the sides are the same. You can tell by looking at the triangle that none of the sides are the same. An obtuse triangle is a triangle with one obtuse angle. It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.

7 0

2 years ago

Find the area of the hexagon. A) 36 in2 B) 52 in2 C) 78 in2 D) 144 in2

s2008m [1.1K]

Answer: C) 78 in2

Step-by-step explanation:

The polygon is divided into two trapezoids with equal measurements.

Area of a trapezoid:

(b1 + b2)h

Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.

(b1 + b2)h

(10 + 16)3

26(3)

78 in2

4 0

3 years ago