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Ira Lisetskai [31]
3 years ago
13

64x^2 + 128x − 4y^2 + 32y + 256 = 0

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

x=−1+

​4

​

​√

​(y−12)(y+4)

​

​​  

​​ ,−1−

​4

​

​√

​(y−12)(y+4)

Step-by-step explanation:

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Select all the expressions that are equivalent to the polynomial below.
katrin2010 [14]
The answers are: D and C and A and E
because: 


B 3(x - 5) - 2(6x2 + 9x + 5)=<span><span><span>−<span>12<span>x^2</span></span></span>−<span>15x</span></span>−<span>25

</span></span>F (4x2 - 13x - 7) - (16x2 + 9x - 5)=<span><span>−<span>12<span>x2</span></span></span>−<span>22x</span></span>−<span>2

E </span>(-15x2 + 9x - 10) + (3x2 - 10x - 5)=<span><span>−<span>12<span>x^2</span></span></span>−x</span>−<span>15</span>
4 0
4 years ago
Read 2 more answers
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0
3 years ago
Read 2 more answers
A new mixture of​ self-tanning &amp; moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70
777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture C_m must be the cost of the everyday moisturizing lotion C_e plus the cost of the self-tanning lotion C_s, which means C_m=C_e+C_s.

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

n_m c_m=n_e c_e + n_s c_s

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m

We want to calculate the number of ounces of the​ self-tanning lotion (n_s), so we solve for that variable:

n_e c_e + n_s c_s=n_e c_m+n_s c_m

n_s c_s-n_s c_m=n_e c_m-n_e c_e

n_s (c_s-c_m)=n_e(c_m-c_e)

n_s=\frac{n_e (c_m-c_e)}{(c_s-c_m)}

And substitute our values in this formula, to get:

n_s=\frac{(700\ ounces) (\$1.6-\$0.7)}{(\$3-\$1.6)}=450\ ounces

7 0
4 years ago
for every 9 fruit trees he plants 5 nut trees if he planted 135 fruit trees how many nut trees did he plant
Lana71 [14]

Answer:

75.......................

7 0
4 years ago
Nathan's lawnmower uses 2/3 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of
Semenov [28]
Using the data you have given, it seems he can cut 1 and a half lawns on a third of a tank of gas. Taking this data, and multiplying it by 3, Nathans lawn mower can mow down 4 one-acre lawns, and a lawn that's half an acre. (Your answer is basically 4 lawns)
7 0
3 years ago
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