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s344n2d4d5 [400]
3 years ago
6

Can someone help me with this ?!! Plz

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

Answer:

see image

Step-by-step explanation:

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Y=-6x+15 <br> Y=4x-15 solve by elimination
Nikitich [7]
X=3 and y=−3 is the answer
6 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
Questions 1-3 40 points
meriva

Answer:

  16%

Step-by-step explanation:

The additional wage amount is $80.

The original wage amount is $500.

The ratio of the two is ...

  $80/$500 = 0.16 = 16/100

To express that ratio as a percentage, multiply it by 100%.

  0.16 × 100% = 16%

_____

It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.

Realizing the meaning of the % sign, you can immediately write this as 16%.

4 0
3 years ago
Find the value of the expression 2ab/c when a = -1, b = -4, and c= 2
motikmotik

Answer:

4

Step-by-step explanation:

Given

\frac{2ab}{c} , substitute the given values into the expression

= \frac{2(-1)(-4)}{2}

= \frac{2(4)}{2}

= \frac{8}{2}

= 4

4 0
3 years ago
Read 2 more answers
What is the slope of the line 6x + y = 24?
ValentinkaMS [17]

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

5 0
2 years ago
Read 2 more answers
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