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
Lina20 [59]
3 years ago
8

Show the work please

Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

You might be interested in
Can someone help me how to write the equations of this three problems?
drek231 [11]

Number 11:

(356-50) ÷ 17 = x

3 0
3 years ago
Read 2 more answers
Witch ratio is equivalent 3:4
Fudgin [204]

Answer:

Below.

Step-by-step explanation:

3:4 can be multiplied by 2 on the same side to get a ratio equivalent to 3:4.

So,3x2=6 4x2=8 or 6:8.

4 0
2 years ago
Read 2 more answers
I need help with this equation
yaroslaw [1]

Answer:

Here:)

Step-by-step explanation:

x= -8

5 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (4,-3) &amp; (3,0)<br> m =<br> b =<br> y =
bezimeni [28]

Answer:

m = -3

b = 9

y = -3x + 9

Step-by-step explanation:

Let us solve the question

∵ The line passes through points (4, -3) and (3, 0)

∵ The rule of the slope is m = \frac{y2-y1}{x2-x1}

∵ (x1, y1) and (x2, y2) are 2 points on the line

∴ x1 = 4 and y1 = -3

∴ x2 = 3 and y2 = 0

→ Substitute them in the rule of the slope to find it

∵ m = \frac{0--3}{3-4} = \frac{0+3}{-1} = -3

∴ m = -3

∵ The form of the equation of the line is y = m x + b

→ Substitute the value of m in the form of the equation.

∴ y = -3x + b

→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)

∵ x = 3 and y = 0

∴ 0 = -3(3) + b

∴ 0 = -9 + b

→ Add 9 to both sides

∴ 9 = b

∴ b = 9

→ Substitute the value of b in the equation

∵ y = -3x + 9

∴ The equation of the line is y = 3x + 9

7 0
2 years ago
Which situation is best met through long-term saving?
Masja [62]
An unexpected medical bill I’m pretty sure
7 0
3 years ago
Other questions:
  • if you draw 35 lines on a piece of paper so that no two lines are parallel to each other and no three lines are concurrent, how
    5·1 answer
  • 1/12 divided by 1/3 answer plzzzzzzzzzz
    12·2 answers
  • 3. Cathy is purchasing a DVD player and a TV at the local electronic store. The DVD player costs
    14·1 answer
  • A group of students forgot to add thiosulfate to one test tube&gt; what will they observe?
    14·1 answer
  • What is 49 divided by 7
    7·2 answers
  • I need help please! Will give 20 points for brainlist!
    13·2 answers
  • Need help on this please and thank you
    10·1 answer
  • Negative 5x plus 4y equals 3 i need x and y thank youu
    12·1 answer
  • During each week of piano lessons, Rachel learns to play 2 new pieces. Write an equation that shows the relationship between the
    11·1 answer
  • Express ✓3+ 2 / ✓3 -2 +2✓3 +8 in the form a + b✓3 where a and b are rational numbers​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!