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3 years ago

Is the function a polynomial function? f(x)=4x-5x^2?

1 answer:

7 0

Www.mathcentre.ac.uk/resources/uploaded/mc-ty-polynomial-2009-1.pdff(x)=4x3. − 3x. 2 + 2 is a polynomial of degree 3, as 3 is the highest power of x in the formula. This is called a cubic polynomial, or just a cubic.

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(3x^2 + 2x -2) + ( -2x^2 + 5x+5) My answer 5x^2 + 7× +7 Am i right

sertanlavr [38]

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

4 0

3 years ago

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc

vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For ΔMNO,

$MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\$

For ΔPQR,

$PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\$

So,

$\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\$

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

8 0

3 years ago

If a jogger runs 2 miles and burns 185 calories, how many calories would he burn

ad-work [718]

Answer:277.5
Explanation: If 185 calories=2 miles then 1 mile=92.5 calories. 185+92.5=277.5

5 0

3 years ago

Judy and Tomie traveled 237 miles in 8 hours.if they continue traveling at the same rate, how long will it take them to travel 6

GaryK [48]

237 654
- = -
8 x
cross multiply
5232=237x
÷237 ÷237
x=22.0759
It will take them about 22 hours

6 0

3 years ago

Each plastic bottle holds 5.1 ounces of water. How much water can 6 plastic bottles hold? ounces

viktelen [127]

Answer:

30.6 ounces of water

Step-by-step explanation:

Since on bottle holds 5.1 ounces, in order to find the amount of water in 6, you must take 5.1 and multiply it by 6 which gives you your final answer of 30.6 ounces. Hope this helps!

7 0

3 years ago

Read 2 more answers

Is the function a polynomial​ function? f(x)=4x-5x^2?

Is the function a polynomial function? f(x)=4x-5x^2?