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maxonik [38]
3 years ago
12

Without parentheses, the expression 8 plus 30 divided by 2 plus 4 equals 27. Rewrite this expression with parentheses so that it

equals 13; then 23
Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0
For 13: 8 + 30/(2+4). Bidmas means the 30 divided by 6 will occur before the 8 is added. So it is done as 8 plus 30 divided by 6, which is 8 plus 5, giving 13.

For 23: (8+30) /2 +4. Againm bidmas means the /2 will occur before the +4 so what happens is 38 divided by 2 to give 29, then add 4 to get 23.
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Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


5 0
3 years ago
Read 2 more answers
One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 538,
larisa [96]

Answer:

73

292

173

Step-by-step explanation:

x = first number

4x = second number

100 + x = third number

x + 4x + 100 + x = 538

6x + 100 = 538

6x + 100 - 100 = 538 - 100

6x = 438

6x/6 = 438/6

x = 73

Check:

73 + 4(73) + 100 + 73 = 538

73 + 292 + 173 = 538

538 = 538

5 0
3 years ago
Read 2 more answers
Solve the following inequality algebraically. -5|1 - 2x| + 6 =< -29​
Blababa [14]

Answer:

x<3

Step-by-step explanation:

-5|1+2x|+6<-29

-5-10x+6<-29

-10x<-30

-----    ----

-10     -10

x<3

8 0
3 years ago
ANY SMART PPL OUT THERE? (question about perimeter)
N76 [4]

Answer:

your answers are:

P= 2(l+w) units

P= 2(5)+2(9) units

P=(l+l)+(w+w) units

Step-by-step explanation:

each of these answers portray L two times for each side and W two times for each side which will give you your perimeter.

7 0
3 years ago
Rihanna must put a five dollar deposit down to buy a necklace. If P where presents the full price of the necklace which expressi
natta225 [31]

Answer:

<em>The expression is </em><em>P - 5</em>

Step-by-step explanation:

Rihanna already made a deposit of $5 to buy the necklace (given)

Full price of necklace = P

Let m = how much Rihanna has left to pay

Full price of necklace = amount paid + amount left to pay

= 5 + m

So we equate the two full necklace prices

5 + m = P

m = P - 5

Therefore, the amount Rihanna owes before tax = P - 5

6 0
3 years ago
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