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Gelneren [198K]
3 years ago
6

The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens

on the graph when x=4? explain

Mathematics
1 answer:
vichka [17]3 years ago
3 0

The graph of y=ax+b, where a≠0, is always a line:

i) increasing if a>0
ii) decreasing if a<0

Consider the decreasing case.

The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.


Back to our problem:

The graph of y=-1/2 x +2 is a decreasing line.,

so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"

it is 

"<span>negative over the interval (4, infinity) and  positive over the interval (-infinity, 4)</span>"



the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).

then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.

when x=4, the line cuts the x-axis.


check the graph of the line generated using desmos.com

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lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. ari buys 3 pounds of apples and 2 pounds of bananas
gavmur [86]

Answer:  The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation:  Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

5x+3y=8.50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+2y=5.25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 2, we have

2(5x+3y)=2\times 8.50\\\\\Rightarrow 10x+6y=17~~~~~~~~~~~~~~~~~~~~~~~~(iii)

and multiplying equation (ii) by 3, we have

3(3x+2y)=3\times 5.25\\\\\Rightarrow 9x+6y=15.75~~~~~~~~~~~~~~~~~~~~~~~~(iv)

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

(10x+6y)-(9x+6y)=17-15.75\\\\\Rightarrow x=1.25.

From equation (i), we get

5\times 1.25+3y=8.50\\\\\Rightarrow 6.25+3y=8.50\\\\\Rightarrow 3y=2.25\\\\\Rightarrow y=0.75.

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

7 0
3 years ago
Read 2 more answers
Alexa is using 6 pounds of apples to make pies.
bixtya [17]

Answer:

96

Step-by-step explanation:

96 because 16 x 6 = 96 ounces

4 0
3 years ago
I will brainlist who can answer this 2 question!
LUCKY_DIMON [66]
Where’s the question?
3 0
2 years ago
I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
Akimi4 [234]

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

Center = (2, 14)

Radius = 1

<em>Given formula</em>

(x - h)² + (y - k)² = r²

<em>Substitute the value into the formula</em>

(x - 2)² + (y - 14)² = (1)²

<em>Simplify</em>

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
Please HELP ME PLEASE PLEASE ASAP ASAP please ASAP help please please !!
kobusy [5.1K]

Answer:

1) 360

2) 360

Step-by-step explanation:

here is the answer

5 0
3 years ago
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