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Tema [17]
2 years ago
12

How do you multiply mixed numbers and then estimate them

Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0
You do 5 multiple by 2 + 2. 4 multiple by 3 + 3. 12 multiple by 15 is 180
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In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

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

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
1 year ago
Sum of 13 and 3 times a number is 31. What is the number?
Volgvan

Answer:

13 + 3x= 31

Step-by-step explanation:

6 0
2 years ago
Consider the following graph of two functions,S(1) + 8(2)Step 1 of 2: Finds (1) + 8(2)Enable Zoom/Pan8(x) = x2 - 2x - 1S(x) = -x
kumpel [21]

.Given:

\begin{gathered} f(x)=-x+1 \\ g(x)=x^2-2x-1 \end{gathered}

ToDetermine: The value of

f(1)+g(2)

Solution

\begin{gathered} f(x)=-x+1 \\ f(1)=-1+1 \\ f(1)=0 \end{gathered}\begin{gathered} g(x)=x^2-2x-1 \\ g(2)=(2)^2-2(2)-1 \\ g(2)=4-4-1 \\ g(2)=-1 \\ f(1)+g(2)=0+(-1) \\ f(1)+g(2)=-1 \end{gathered}

Hence, f(1) + g(2) = -1

3 0
1 year ago
Three divided by four
muminat

Answer:

0.75

Step-by-step explanation:

3/4=0.75

Hope this helps! :)

8 0
3 years ago
Is this triangle acute, right, or obtuse?
Elza [17]

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

7 0
3 years ago
Read 2 more answers
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