1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fantom [35]
3 years ago
5

Simplify (15x2 – 24x + 9) ÷ (3x – 3) = ?

Mathematics
2 answers:
Alina [70]3 years ago
8 0
Factor 15x^2-24x+9
we know that we are supposed to divide by (3x-3) so that might be one of the factors
(3x-3)(ax+y)
a must be 5 since 5 times 3=15
(3x-3)(5x+y)
y must be -3 because -3 times -3=9 so
(3x-3)(5x-3)
try to multiply and get
15x^2-15x-9x+9=15x^2-24x+9
true

now we have
[(3x-3)(5x-3)]/(3x-3)=(3x-3)/(3x-3) times (5x-3)/1=1 times 5x-3
answer is 5x-3







larisa86 [58]3 years ago
3 0
\frac{15x^{2} - 24x + 9}{3x - 3} = \frac{3(5x^{2}) - 3(8x) + 3(3)}{3(x) - 3(1)} = \frac{3(5x^{2} - 8x + 3)}{3(x - 1)} = \frac{5x^{2} - 5x - 3x + 3}{x - 1} = \frac{5x(x) - 5x(1) - 3(x) - 3(-3)}{x - 1} = \frac{5x(x - 1) - 3(x - 1)}{x - 1} = \frac{(5x - 3)(x - 1)}{x - 1} = 5x - 3
You might be interested in
1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
M-15=9 inverse operation
zheka24 [161]

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

6 0
2 years ago
Please solve!!! Will make Brainliest!!
posledela

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

3 0
2 years ago
Read 2 more answers
Graph the exponential model y=3(6)^x Which point lies on the graph? (-9 2) (-1, -18) (1, 18) (2, 9)
svetlana [45]

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

7 0
3 years ago
randy ran every day last week, and he ran at least 2 miles and at most 7 miles every day. if he ran exactly 3 miles on at least
Arlecino [84]
5×2=10 3×1=3 2×1=2 7×1=7. ?×2=14
8 0
3 years ago
Other questions:
  • HELPPPPPPP !!! I need the answer in less than 5 minutes!!!
    14·2 answers
  • Isabella drove 600 m and Mia drove 300 more meters than Isabella. If David drove 8.5 km, how much further did David drive in met
    14·1 answer
  • A plane is defined by two lines. What's the counterexample
    9·1 answer
  • H=-16t^2+46t+6 after how many seconds will the ball hit the ground?
    14·1 answer
  • A company with $60,000 in sales last year had $69,000 in sales this year. Assuming the company's sales continue to grow at the s
    10·2 answers
  • 5 min 0 sec minus 35 sec
    10·1 answer
  • If the ratio of b to a is equal to 6 and the difference of b and a is 12, what is the value of a?
    10·1 answer
  • Please help ASAP it is really hard
    5·1 answer
  • Which function describes this graph?
    7·2 answers
  • Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 unit
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!