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valentina_108 [34]
3 years ago
9

Solve the quadratic equation. (x - 4)2 = 36

Mathematics
2 answers:
aalyn [17]3 years ago
6 0
This isn't a quadratic equation. I'm assuming that you meant to put (x-4)2x=36
2x^2-8x-36=0

I would use the quadratic formula to solve it.

Best of luck!
kirill115 [55]3 years ago
5 0
Using PEMDAS, we know to multiply the two with the inside of the braket. That would give you (2x-8)=36. Then, you would have to add 8 on both side to cancel out the -8 which would leave you with 2x=44. Then you will divide each side by two to get the answer which is x=22
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Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui
andre [41]

Answer:

August made the recipe using the <em>incorrect</em> ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the <em>incorrect</em> ratio

6 0
3 years ago
Read 2 more answers
Find the equation of the straight line that passes through points (-1; -2) and (3; 4)
Leya [2.2K]
Y=mx+b is our base equation

m=slope, so let's find that first:
m= change in y/change in x
So between the points (-1,-2) and (3,4),
The y values, -2 and 4, have a difference of 6. The x values, -1 and 3, have a difference of 4. This makes our slope 6/4 (or 3/2 simplified)

Now our equation is
Y=3/2x + b

We still need to find b
To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.

4=3/2(3) + b
Multiply
4=9/2 + b
Subtract 9/2 from both sides
-1/2=b

Now let's put it all back together!

Y=3/2x-1/2 Is the answer.

I hope this Helps!


6 0
3 years ago
What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?
Leya [2.2K]
L = 15
w = 12
h = 8

Surface Area = 2(lw + wh + lh)
S.A. = 2(15*12 + 12*8 + 15*8)
S.A. = 2(180 + 96 + 120)
S.A. = 2(396)
S.A. = 792 cm^2
7 0
3 years ago
Write the following as a ratio: 304 calories burned in 56 minutes
IgorC [24]

Answer:

The required ratio is 38 : 7

Step-by-step explanation:

Given,

304 calories burned in 56 minutes,

That is, the number of calories burnt in 56 minutes = 304

So, the ratio of the calories burnt and time in minutes  = \frac{304}{56}

∵ HCF(304, 56) = 8,

Thus, the ratio of price of photos and number of photos = \frac{304\div 8}{56\div 8}

= \frac{38}{7}

6 0
3 years ago
Write an expression please help me
qwelly [4]

I'm pretty sure it's

(24/3) + x.

Simplify it: 8 + x

4 0
3 years ago
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