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Nataliya [291]
3 years ago
9

Evaluate each using the values given. You must show all the work including the steps to solve.

Mathematics
1 answer:
svp [43]3 years ago
4 0
Answer: 5
5 + 2(4 x 2 - (2 +2))
5 + 2(8 - 2(2 + 2))
5 + 2( 8 - 8)
5 + (2)(0)
5 + 0
=5


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You sellBoth cookies and bread at a farmer’s market every Sunday you sell cookies go $5 a dozen and the bread for $4 a loaf your
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Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​
Ira Lisetskai [31]

Answer:

y = -⅓x - 5

Step-by-step explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

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45 because 270 + 45 =315 . So 360-315= 45

5 0
3 years ago
When a polynomial f(x) is divided by 2x-3,the quotient is x^2-x+2 and the remainder is -1. Find the f(x)​
joja [24]

Answer:

f(x) = 2x³ - 5x² + 7x - 7

Step-by-step explanation:

In the division statement: m ÷ n = q + \frac{r}{n}

  • m is the dividend
  • n is the divisor
  • q is the quotient
  • r is the remainder
  • m = q × n + r

Let us use the fact above to solve the question

∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1

∴ f(x) is the dividend ⇒ m

∴ (2x - 3) is the divisor ⇒ n

∴ (x² - x + 2) is the quotient ⇒ q

∴ -1 is the remainder ⇒ r

→ Use the rule above to find f(x)

∵ f(x) = (x² - x + 2) × (2x - 3) + -1

∴ f(x) = (x² - x + 2)(2x - 3) - 1

→ Multiply the 2 brackets at first

∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)

∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6

→ Add the like terms

∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6

∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6

∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6

→ Substitute it in f(x)

∴ f(x) = 2x³ - 5x² + 7x - 6 - 1

→ Add the like term

∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)

∴ f(x) = 2x³ - 5x² + 7x + (-7)

∴ f(x) = 2x³ - 5x² + 7x - 7

3 0
3 years ago
Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Viktor [21]

Answer:

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

Step-by-step explanation:

Let

x = number of people who order chicken dinner

y = number of people who order the steak dinner

x + y = 6 (1)

14x + 17y = 99 (2)

From (1)

x = 6 - y

Substitute into (2)

14x + 17y = 99 (2)

14(6 - y) + 17y = 99

84 - 14y + 17y = 99

- 14y + 17y = 99 - 84

3y = 15

y = 15/3

y = 5

Substitute y = 5 into (1)

x + y = 6 (1)

x + 5 = 6

x = 6 - 5

x = 1

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

4 0
3 years ago
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