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4 years ago

6

Mathematics

1 answer:

saw5 [17]4 years ago

8 0

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

$(9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)$

First of all, let's open the parentheses to combine the like terms for simplifying.

$9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2$

Arranging the like terms, x² with x², x with x and constant terms near to each other.

$9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2$

Simplying further,

$(9 - 3) {x}^{2} - 3x + 9$

$6 {x}^{2} - 3x + 9$

So, the correct option is C

━━━━━━━━━━━━━━━━━━━━

You might be interested in

Evaluate the expression (ab)2 for a = 4 and b = 3. A. 36 B. 24 C. 81 D.144

skelet666 [1.2K]

Answer:

Option D = 144

Step-by-step explanation:

First, you are not putting the expression correctly. I'm assuming you are mean to say (ab)². This is because if you want to multiply by 2, the 2 usually goes first like this 2ab. But it's not case, so, it should be as I said.

Now, let's replace the values for a and b into the expression:

(ab)² = (4 * 3)² = (12)² = (12*12) = 144

That's is why is option D.

4 0

3 years ago

Calculate the slope of each segment (just need a couple example problems and step by step, no need to answer all. Will mark brai

Tpy6a [65]

Answer:

12) Line segment AB

$m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}$

13) Line segment CD

$m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}$

14) Line segment EF

$m_{EF} = \frac{7-11}{4-3}= -4$

15) Line segment GH

$m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}$

16) Line segment IJ

$m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}$

17) Line segment KL

$m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}$

18) Line segment MN

$m_{MN} = \frac{5-5}{3-(-4)} = 0$

19) Line segment OP

$m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}$

20) Line segment QR

$m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}$

21) Line segment ST

$m_{ST} = \frac{-2-(-3)}{10-9} = 1$

Step-by-step explanation:

Coordinates are now described: $A(x,y) = (4,4)$ , $B(x,y) = (10, 7)$ , $I(x,y) = (-6, 4)$ , $J(x,y) = (0,0)$ , $Q(x,y) = (-7,11)$ , $R(x,y) = (-2,7)$ , $C(x,y) = (13,11)$ , $D(x,y) = (15, 6)$ , $K(x,y) = (-2, -3)$ , $L(x,y) = (5,-2)$ , $S(x,y) = (9,-3)$ , $T(x,y) = (10, -2)$ , $E(x,y) = (3, 11)$ , $F(x,y) = (4,7)$ , $M(x,y) = (-4,5)$ , $N(x,y) = (3, 5)$ , $G(x,y) = (6,2)$ , $H(x,y) = (8,5)$ , $O(x,y) = (13,-2)$ , $P(x,y) = (13,4)$

The slope of each line segment is calculated by applying definition of secant line:

12) Line segment AB

$m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}$

13) Line segment CD

$m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}$

14) Line segment EF

$m_{EF} = \frac{7-11}{4-3}= -4$

15) Line segment GH

$m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}$

16) Line segment IJ

$m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}$

17) Line segment KL

$m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}$

18) Line segment MN

$m_{MN} = \frac{5-5}{3-(-4)} = 0$

19) Line segment OP

$m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}$

20) Line segment QR

$m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}$

21) Line segment ST

$m_{ST} = \frac{-2-(-3)}{10-9} = 1$

8 0

3 years ago

Joshua wrote 13 articles for the school newspaper this year. Paulette wrote 7 more articles than Joshua. Jeff wrote as many arti

Keith_Richards [23]

53 articles? Because josh wrote 13 plus 20 that Paulette wrote then Jeff wrote as many as Paulette so another 20.

6 0

4 years ago

A card is picked at random from a pack of 52 playing cards. The probability that it is a 6

Bingel [31]

Answer: 4/52 = 1/13

Step-by-step explanation: Every card in the deck has 4 suits which means that there will be 4 sixes in the deck so the probability will be any of the 4 out of the whole 52 or 1/13.

Brainliest plz

7 0

3 years ago

What is f(r) = 60 - 2/3 r when r =12?

7nadin3 [17]

F(r) = 60 - 2/3r r = 12
Substitute r for 12

f(12) = 60 - 2/3(12) 12 * 2/3 = 8

f(12) = 60 - 8

f(12) = 52

52 is your answer

5 0

3 years ago