Joseph wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each
1 answer:
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Answer:
(- 3, 37) and (- ,
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = - : y = 4 +
=
⇒ (-
,
)
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Answer:
a.
b.
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:
Therefore, substituting these values into the formula, we get that the area of the kitchen is:
b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:
Therefore, the total of the living room and the kitchen is:
Area of each piece of paper is 
Greatest number of possible piece of paper is![[1000\div\frac{187}{2}]=[1000\times\frac{2}{187}]=[\frac{2000}{187}]=10](https://tex.z-dn.net/?f=%5B1000%5Cdiv%5Cfrac%7B187%7D%7B2%7D%5D%3D%5B1000%5Ctimes%5Cfrac%7B2%7D%7B187%7D%5D%3D%5B%5Cfrac%7B2000%7D%7B187%7D%5D%3D10)
Greatest number of possible piece of paper is