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enyata [817]
3 years ago
14

I need help on these as well

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

5. 2

6. -1

7. undefined

Step-by-step explanation:

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Factor the following trinomial. (Hint: Solve the equations first.)<br><br> x²-2x-2
Alex_Xolod [135]

Answer:

(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -2x-2=0  

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}

x=\frac{2(+/-)\sqrt{12}} {2}

x=\frac{2(+/-)2\sqrt{3}} {2}

x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}

x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

5 0
3 years ago
jan makes a party punch that requires 2 gallons of orange juice for every 1/2 gallon of lemonade. Matta favorite party punch rec
Ahat [919]

Answer:

2 gallons of orange juice.

Step-by-step explanation:

Given:

Jan makes a party punch that requires 2 gallons of orange juice for every 1/2 (0.5) gallon of lemonade.

Matt favorite party punch recipe calls for 3 gallons of orange juice for every 2 gallons of pineapple juice.

To find:

If Matt and Jan make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?

Solution:

Jan makes a party punch by mixing orange juice and lemonade in = 2:0.5

Matt makes a party punch by mixing orange juice and pineapple juice in = 3:2

Let ratio be x

To find how many gallons of orange juice would Jan use,

2x+ 0.5x =10\\2.5x = 10

By dividing both sides by 2.5

x = 4,  

Jan use gallons of orange juice to make 10 gallons of punch, 2x=2\times4=8

Similarly, to find how many gallons of orange juice would Matt use,

3x+2x=10\\ 5x=10

By dividing both sides by 5

x =2

Matt use gallons of orange juice to make 10 gallons of punch, 3x=3\times2=6

Now, to find how many more gallons of orange juice would Jan use than Matt,

Jan use gallons of orange juice to make 10 gallons of punch - Matt use gallons of orange juice to make 10 gallons of punch

8 - 6 = 2 gallons.

Hence, Jan use 2 gallons more orange juice than Matt.

4 0
4 years ago
Consider the equation q= 4 +0.8p.<br> What value of q would make the equation true when p<br> is 7?
NARA [144]

Answer:

9.6

Step-by-step explanation:

q=4+0.8(7)

6 0
3 years ago
The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.
stich3 [128]

Answer:

A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200=W^{2}, \sqrt{200\\ = W, L=2(\sqrt{200\\) and W=\sqrt{200\\, W=14.14 and L=28.28

Step-by-step explanation:

4 0
3 years ago
Help me with my test pls
JulijaS [17]

Answer:

The answer will be 40!!!!!!!!!!

8 0
3 years ago
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