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
kodGreya [7K]
3 years ago
6

What is the answer to -6n^2 - 5n - 7 = -8

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

n = \frac{1}{3} , n = \frac{1}{2}

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = \frac{1}{2}

You might be interested in
A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 200
Romashka-Z-Leto [24]
The answer is 102,442
3 0
3 years ago
Don't know this please help me give brainly
Sergio039 [100]
Just pick random it’s helpful
6 0
3 years ago
Which of the following exponential functions represents the graph below?
mario62 [17]

Answer:

the graph corresponds to function "D"  f(x)=3\,(\frac{1}{5} )^x

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5

while function D at x = 0 gives:

f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3

Therefore, the graph corresponds to function "D"

3 0
3 years ago
Solve the problem below, simplify, add steps<br> 1/3 √21 minus 2/3 √3 * √7
iogann1982 [59]
Do you want square root? And If so then here is the answer:Rewrite <span><span>√37</span>37</span> as <span><span>√3√7</span>37</span>.<span><span>√3√7</span>37</span>Multiply <span><span>√3√7</span>37</span> by <span><span>√7√7</span>77</span>.<span><span><span>√3√7</span><span>√7√7</span></span><span>37⁢77</span></span>Simplify.        And in the end of, this I put  the decimals.√<span><span>217</span><span>217</span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span><span>√21</span>7</span></span>Decimal Form:<span>0.65465367<span>… not sure this answer.
</span></span>
4 0
3 years ago
in a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How man students wear glasses?
statuscvo [17]
20 students.

40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 =  12 girls.

25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
   
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
7 0
3 years ago
Other questions:
  • Can anyone help me with this please.
    8·1 answer
  • If f(x)= 3x-1 and g(x)= x+2, find (f-g)(x).
    8·2 answers
  • Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than s
    7·1 answer
  • Two numbers are in a ratio of 5:4. Their sum is 720. Find the bigger number.
    9·1 answer
  • A rectangle board is 1.2 meters long and 0.8 meters wide. What is the area of the board in millimeters
    6·1 answer
  • Can someone please help me with simplifying ratios and fractions? thanks
    5·1 answer
  • A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Determine the intervals on which the function is
    7·1 answer
  • Cuánto es 1875 más 199​
    6·1 answer
  • Which of the following is 1,215 divisible by? Select all that apply.
    10·2 answers
  • Please write a equation for this table
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!