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Ronch [10]
4 years ago
15

Manny was given the equation (x+2)(x-7)=0 and asked to find the zeros. The solutions he came up with were x=2 and x=-17.

Mathematics
1 answer:
Inessa [10]4 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)(x - 7) = 0 ← in standard form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Thus the zeros are x = - 2 and x = 7

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At East Middle School, there are 585858 left-handed students and 609609609 right-handed students. The numbers of left- and right
lisabon 2012 [21]

Answer: C. Left-handed: 48 Right-handed: 504

E. Left-handed: 30 Right-handed: 315

Step-by-step explanation:

Here is the completed question:

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. Which of the following could be the numbers of left-handed and right-handed students at West Junior High?

A. Left-handed: 42 Right-handed: 483

B. Left-handed: 28 Right-handed: 378

C. Left-handed: 48 Right-handed: 504

D. Left-handed: 56 Right-handed: 560

E. Left-handed: 30 Right-handed: 315

Since it's direct proportion, we have to calculate the constant of proportionality which will simply be:

= 609 / 58 = 10.5

A. Left-handed: 42 Right-handed: 483

Constant = 483/42 = 11.5

Incorrect

B. Left-handed: 28 Right-handed: 378

Constant = 378/28 = 13.5

Incorrect

C. Left-handed: 48 Right-handed: 504

Constant = 504/48 = 10.5

Correct

D. Left-handed: 56 Right-handed: 560

Constant = 560/56 = 10

Incorrect

E. Left-handed: 30 Right-handed: 315

Constant = 315/30 = 10.5

Correct

Therefore, the correct options are C and E.

3 0
3 years ago
Read 2 more answers
A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.
nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

\frac{2y}{2}=\frac{36}{2}\\y=18

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

8 0
3 years ago
write a word problem that you can solve by multiplying a mixed number by a whole number. include a solution
Ainat [17]
Jessica is doubling a recipe that calls for 1 1/2 cups of milk. How many cups of milk in total does she need?

2 x 1 1/2 = 3

She needs 3 cups of milk in total.
7 0
3 years ago
Read 2 more answers
Answer now please 10 points come earn them
MAVERICK [17]

Answer:

B

Step-by-step explanation:

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6 0
3 years ago
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The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l
koban [17]

Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

5x+10=60

5x=50

x=10

or

10*4=40

40+10=50

50+10=60

3 0
3 years ago
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