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Murljashka [212]
3 years ago
6

Evaluate the expression for 2x+3 for x = 7

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

17

Step-by-step explanation:

2x+3

2•7=14

14+3=17

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Bethany needs to solve the equation -x^2 + 4x = x - 4.
notsponge [240]

Answer:

The system of equations she could write is:

   y = -x² + 4x

   y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

   y = -x² + 4x

   y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0
2 years ago
The perimeter of a Balcony is 26 ft it is 4 ft wide how long is it?
Dmitrij [34]

Answer:

30ft

Step-by-step explanation:

if you add 26 and 4, you'll get an answer of 40

8 0
2 years ago
Members of the cooking club would like to learn how to make peach ice cream. There are 14 people in the club. Each member will n
ohaa [14]

Answer:

Step-by-step explanation:

Total members = 14

Each member:

Peaches = 3

Pint of cream = 1

Cost

Peaches = x cent

Pint of cream = 46 cent

46 cent = $0.46

Cost per member = 3(x cent) + 0.46

= 3x cent + 0.46

Total cost for all members = 14(3x cent + 0.46)

= 42x cent + 6.44

8 0
3 years ago
Ratio of centimeters over inches
kolbaska11 [484]
The ratio is 0.394 cm. / 1 in.
6 0
3 years ago
Read 2 more answers
Can anybody help me plzzzz
melisa1 [442]
SSS I’m pretty sure . I’m doing the same thing in math rn
3 0
2 years ago
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