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Murljashka [212]
3 years ago
8

4. Twice the larger of two numbers is three more than five times the smaller. The sum of four times the larger and three times t

he smaller is
71. What are the numbers?
Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

Smaller is 5, larger is 14

Step-by-step explanation:

y is larger, x is smaller

2y = 3 + 5x

4y + 3x = 71

Let's solve for y in the first one, then substitute that into the second one.

y = 3/2 + 5/2x

4(3/2 + 5/2x) + 3x = 71

12/2 + 20/2x + 3x = 71

6 + 10x + 3x = 71

13x = 65

x = 5

Substitute that in to the first equation:

2y = 3 + 5(5)

2y = 3 + 25

2y = 28

y = 14

check those answers in the second equation

4y + 3x = 71

4(14) + 3(5)

= 56 + 15 =71

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Let f(x)=2x^2-x-1 and let g(x)=x-1 Which statement is true?​
sergij07 [2.7K]

Answer:

B is true

Step-by-step explanation:

given f(x) = 2x² - x - 1 and g(x) = x - 1

A

If x = - 1 is a root then f(- 1) = 0

f(- 1) = 2(- 1)² - (- 1) - 1 = 2 + 1 - 1 = 2 ≠ 0 ← False

B

If (x - 1) is a factor then x = 1 is a root and f(1) = 0

f(1) = 2(1)² - 1 - 1 = 2 - 1 - 1 = 0

⇒ g(x) = x - 1 is a factor of f(x) ← True

C

If x = 2 is a root then f(2) = 0

f(2) = 2(2)² - 2 - 1 = 8 - 3 = 5 ≠ 0 ← False

D

\frac{x2x^2-x-1}{x-1} = \frac{(2x+1)(x-1)}{x-1}

Cancel the factor (x - 1) on the numerator/ denominator, leaving

\frac{f(x)}{g(x)} = 2x + 1 with remainder 0 ≠ 2 ← False

7 0
4 years ago
Would someone please help me with this pre final practice?
timofeeve [1]

Answer:

i think 5 so i say pick 5 because 19no 12no10 no so it 5

4 0
3 years ago
Grandma has 14 red roses and 7 pink roses. How many red roses than grandma has
mixer [17]
Grandma has 7 red roses
4 0
4 years ago
uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29
irina1246 [14]

Answer

Find out the how much twine will he needs to pack 29 cartons today .

To proof

As given

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.

As given in the question

Convert the answer to larger units .

As between  yard is the largest unit between yard, feet and inches.

1 inches = \frac{1}{36} yard

and

1 feet = \frac{1}{3} yard

Convert 2 feet into yard

=\frac{2}{3}

Convert 4 inches into yard

= \frac{4}{36}

twine to wrap each carton packs

= 1 + \frac{2}{3} + \frac{4}{36}

L.C.M of (3 , 36) = 36

than the equation becomes

=\frac{36 +2\times 12 + 4}{36}

= \frac{64}{36}

=1.77777778 yard

Now twine to wrap pack 29 cartons  = 29× 1.77777778

                                                             = 51.5555556 yard


Now twine to wrap pack 29 cartons is 51.55 yard ( approx)

Hence proved  

6 0
3 years ago
Find the area of the figure below
nalin [4]

Answer:

36 I think, also to fintd the are of an object you count how many shapes its in the object:).

8 0
3 years ago
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