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UNO [17]
3 years ago
13

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

Mathematics
1 answer:
kogti [31]3 years ago
3 0
Answer: 
x = 2

2x + 1 = -x +7           Add and subtract 
3x = 6                                divide
x = 2
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The lines on a 2-cup liquid measuring cup divide each cup into eighths If you measure 1 3/4 cups of water between which two quan
sasho [114]

Answer:

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Step-by-step explanation:

1 3/4 = 1 6/8

Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.

1/8 less than 1 6/8 is 1 5/8.

1/8 more than 1 6/8 is 1 7/8.

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

5 0
3 years ago
Can someone help me out? Pls it’s urgent!!! ASAP! (Geometry)<br> “Complete the proof”
Nikitich [7]

1) \overline{WX} \cong \overline{UY}, \angle YXZ \cong \angle XYZ (given)

2) \overline{XY} \perp \overline{XY} (reflexive property)

3) \triangle WXY \cong \triangle UYX (SAS)

4) \overline{WY} \perp\overline{ UX} (CPCTC)

6 0
2 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
2 years ago
How do I simplify 7 to the power of 1
Savatey [412]

\huge\boxed{7}

Any number to the power of 1 is itself. So, 7^1 = \boxed{7}.

Here are some more examples:

382^1 = 382

0^1 = 0

\pi^1 = \pi

8 0
2 years ago
Which inequality has -25 in its solution set?
Ann [662]

Many inequalitys have -25 in their solution sets.

There are too many to name.

5 0
2 years ago
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