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3 years ago

Find the solution(s) to the system of equations. Select all that apply. y=x² - 4 y = -x-2

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Answer:

x=1, y= -3

x= -2 y=0

Step-by-step explanation:

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Can someone help me with factoring by grouping

Wittaler [7]

Factor : x^2+3x-10

Answer = (x - 2)(x + 5)

Explanation:

Y = x^2 + 3x - 10.

Find 2 numbers knowing sum (3) and product (-10).

Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.

y = (x - 2)(x + 5).

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3 years ago

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monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star

GaryK [48]

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

$\text{One gallon is equivalent to 3785 } cm^3$

Therefore: $\text{10 gallon= 3785X 10 =37850 } cm^3$

Therefore, Volume of the lemonade Monica Started with is $\text{37850 } cm^3$

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone= $\frac{1}{3}\pi r^2 h$

$\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3$

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

$\approx 205$ Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

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3 years ago

Estimating with percents: Isaac and his sister plan to surprise their parents by buying then each a pair of shoes. They agree th

morpeh [17]

for estimating round both the price of shoes and the percentage to round numbers

97.65 is close to 100, so use 100 for the price of shoes

68% is close to 70 so use 70%

then multiply 100 by 70 %,

100 *70% = 70 dollars

so Isaac would pay around 70 dollars

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zzz [600]

Answer is: its 12.683

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Write the prime factorization of 3.

DaniilM [7]

Answer:

there is none prime factorization of 3. Since it cant be multiplied by anything to get 3 like 2 and 5 and 7

Step-by-step explanation:

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