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White raven [17]
4 years ago
4

According to the synthetic division below, which of the following statements are true

Mathematics
1 answer:
Hunter-Best [27]4 years ago
7 0

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5  it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder

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Could someone help me, please :(
Triss [41]

Answer:   \boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}

Work Shown:

-\frac{2}{5}(15m-4)-m\\\\-\frac{2}{5}(15m)-\frac{2}{5}(-4)-m\\\\-6m+\frac{8}{5}-m\\\\\boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}

Therefore -7 goes in the first box, and \boldsymbol{\frac{8}{5}} goes in the second box.

4 0
3 years ago
Read 2 more answers
A machine produces 584 units in 8 hours. how many units does it produce in 2 hours?
ikadub [295]
584 = 8 hours
146 = 2 hours (divide each side by four)
5 0
3 years ago
Let f(x) = x2 – 16 and g(x) = x + 4. Find fg f g and its domain.
Marta_Voda [28]

Answer: fg =x^3+4x^2-16x-64 and


Domain: All real number. All real number or (-\infty,\infty)



Explanation:


fg means product of two given function f(x) and g(x)


where,  

f(x)=x^2-16 and g(x)=x+4


Now, we have to find fg


So, fg=f(x)\times g(x)


Substitute f(x) and f(x)


\Rightarrow (x^2-16)(x+4)


Using distributive property simplify above expression and we get,  

\Rightarrow x^3+4x^2-16x-64


We can see it is cubic polynomial. So, domain of cubic polynomial is all real number.  

Domain: All real number or (-\infty,\infty)



6 0
3 years ago
Read 2 more answers
Combine Like Terms and Eliminate Parenthesis.<br>5z-[2z-(13z+8)]
katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

2z-13z-8

and 2z and -13z are like terms, so we can sum them:

2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8

Finally we arrive to the whole expression, which is

5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8

Because, again, 5z and 11z were like terms.

6 0
3 years ago
ALGEBRA 1<br><br> Describe the first step in solving the equation 3x - 4 = 2x + 19
drek231 [11]

Answer: x = 23

Steps:  

3−4=2+19

= 3−4+4=2+19+4

= 3=2+19+4

= 3=2+23

= 3−2=2+23−2

= 1=2+23−2

= =2+23−2

= =23

Hope this help! :)

6 0
3 years ago
Read 2 more answers
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