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valentina_108 [34]
3 years ago
6

If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

x-2\sqrt{x^2+7x-5}

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

---------------------

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

------------------------

                     13

So the answer will be; x+9 remainder 13

You might be interested in
How many fifths must be added to 6/10 to make a whole​
horrorfan [7]

Answer:

2/5

Step-by-step explanation:

10/10 = 1 Whole

You need 4/10 to get 1 whole

4/10 is equivalent to 2/5 because when you divide the numerator and denominator by 2 you the 2/5.

6 0
3 years ago
Were would coordinates 8,7 be after a feflection over the x axis
Svet_ta [14]

Answer:

(8, -7)

Step-by-step explanation:

well since it flip over the x-axis only, the 8 stays the same, however, the 7 flips completely to the second quadrant and becomes -7.

Hope this helped and have a amazing day.

3 0
2 years ago
A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking
AleksandrR [38]

Answer:

58,187.5 m²

Step-by-step explanation:

1 cm : 25 m

7 cm = 25 × 7 m

7 × 25 = 175 m

13.3 × 25 = 332.5 m

area = 332.5 m × 175 m

7 0
1 year ago
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
ankoles [38]

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x  = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

4 0
2 years ago
If g(x)=4x-6 then g^-1(x)=?<br> (1) -4x+6<br> (2)-1/4x+1/6<br> (3)1/4x+3/2<br> (4)1/4x+6
kati45 [8]

Given:

g(x)=4x-6

To find:

The function g^{-1}(x).

Solution:

we have,

g(x)=4x-6

Put g(x)=y.

y=4x-6

Interchange x and y.

x=4y-6

Isolate y.

x+6=4y

\dfrac{x+6}{4}=y

y=\dfrac{x+6}{4}

Substitute y=g^{-1}(x).

g^{-1}(x)=\dfrac{x+6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{3}{2}

Therefore, the correct option is (3).

4 0
3 years ago
Read 2 more answers
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