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3 years ago

Which is the first step in simplifying the expression 2(x + 3) + 5?

2 answers:

8 0

Distribute the 2 through (x + 3) After you multiply it through you get 2x + 2(3) + 5, which is the first item on your list.

Effectus [21]3 years ago

8 0

Answer:

2x + 2(3) + 5

Step-by-step explanation:

The first step in this type of expression is to develop the parenthesis, that is, to multiply the components within the parenthesis by the term that is just outside it.

In this case the first step is as follows:

2x + 2(3) +5

which is to multiply the 2 by the x and the same 2 by the 3 to remove the parenthesis, so the answer is the first option.

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The graph shows the relationship.....

Anna35 [415]

Answer:

Part A: That 6 pounds of rice costs $18

Part B: (1,3) represents the unit price

Part C: 4 pounds of rice, because $12/3 equals 4

Step-by-step explanation:

Part A: The first point, 6, is on the amount of rice axis and the second point, 18, is on the total cost axis.

Part B: The unit price means the price for just 1 of something, so if you go to 1 pound of rice on the graph, you see it's at 3 on the total cost axis. Which means that 1 pound of rice costs $3.

Part C: From Part B you know that 1 pound of rice equals $3. So if you spend $12, then you can divide that by $3 to see how many pounds of rice you bought. 12/3 equals 4, so you bought 4 pounds of rice. Or you can count by 3's until you get to 12: 3, 6, 9, 12. That's 4 times so that means you bought 4 pounds of rice.

5 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

What is the area of the rectangle? [1] un2

mezya [45]

(-2,3) to (2,-3)

6^2 + 4^2 = c^2

c = 7.21

————

(-2,3) to (1,5)

2^2 + 3^2 = c^2

c = 3.61

————

3.61 * 7.21 = approx. 26.03

The area is 26.03un^2

5 0

3 years ago

Mario found this relationship between the quantities in the table? Which error did Mario make?

wlad13 [49]

Mario made the mistake on everything and he needs help

6 0

3 years ago

Batman took a bicycle trip. In all, he traveled 6 hours at a rate of 28 mph. What was his total distance ?

Mice21 [21]

Distance=speed x time
so it would be 28 x 6=168

7 0

3 years ago

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