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hram777 [196]
3 years ago
7

Finding values or k(x) = x - 2 h(x) = x2 +1 (h + k)(2) =

Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

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Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Lostsunrise [7]

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



6 0
3 years ago
What multiplication equation can you use to check the answer to the problem -32 divided by -4
Naddika [18.5K]

8x-4=-32 so thats an equation that you can use

5 0
3 years ago
1/4x + 6 + 1/5x - 3/20x = 4.2
natta225 [31]

Answer:

6

Step-by-step explanation:

The explaination is in the picture

6 0
3 years ago
David is making patterns using these rules. Rule for Pattern A: start with 20 and subtract 2 Rule for Pattern B: start with 10 a
pochemuha

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

5 0
3 years ago
Solve equation by completing the square round to the nearest hundredth if necessary <br> X2-4x-=5
kipiarov [429]

Answer:

x=-1 and x=5

Step-by-step explanation:

we have

x^{2} -4x=5

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

so

-\frac{4}{2}=-2

square it

(-2)^2 = 4

Adds 4 both sides

x^{2} -4x+4=5+4

Combine like terms right side

x^{2} -4x+4=9

Rewrite as perfect squares

(x-2)^{2}=9

take square root both sides

x-2=\pm3

x=2\pm3

therefore

x=2+3=5

x=2-3=-1

6 0
3 years ago
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