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
vovangra [49]
3 years ago
13

How many times does the graph of the function below intersect or touch the x-axis? y=-3x^2+x+4 ...?

Mathematics
2 answers:
Artist 52 [7]3 years ago
8 0
<span>when the graph touches x axis at that point y = 0

</span><span> So, putting y =0
  0 = -3x^2 + x +4
</span>so, if you factoriazte it

<span>−3<span>x^2</span>++4x−3x+4=0

</span> <span>−3x(x+1)+4(x+1)=0

</span> <span>(x+1)+(−3x+4)=0

</span> <span><span>x=−1,<span>4/3

So, two time at -1 and 4/3 it touches the x-axid</span></span></span>
Nana76 [90]3 years ago
6 0

Answer:

The answer is 2 times.


You might be interested in
Evaluate (x-a+3) if the value of x is (a+7).
Nikitich [7]

Answer:

3(x - a)(x - b)(x - c) when a + b + c = 3x .

Step-by-step explanation:

i don't know but this has to be right

4 0
2 years ago
Two triangles are congruent if
irinina [24]

Answer:

B is your answer

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
For every 24meals Momoka prepared for customers last night, she prepared 2 meals for employees. Momoka prepared 156 meals.
Olenka [21]

Answer:

144 meals for customers and 12 meals for employees.

Step-by-step explanation:

156/24=6.5

6 x 24 =144

156-144=12

It adds up to be simple numbers, if it didn't it would make sense. For example, she wouldn't serve 6 and a <u>half</u> people. She would serve either 6 people or 7 people. She wouldn't serve 11.3973043 meals. She would serve either 11 meals or 12 meals.

6 0
3 years ago
Read 2 more answers
Plz help fast. What is the value of x?
beks73 [17]

Answer is 7.b  because of the angles

3 0
2 years ago
Other questions:
  • 10) There are 144 seats for a concert at your school Twenty-eight of those seats will be taken up by the teachers. If each band
    5·1 answer
  • Is 91.7% rational or irrational​
    13·1 answer
  • the length of a swimming pool is 22 ft. the width is 40 ft. if the volume of the pool is 2,500 ft, which equation would you use
    15·1 answer
  • Find the area of a polygon using the given apothem<br> Plz anwser, will mark brainest!!
    13·1 answer
  • Find the midpoint of the line segment with the endpoints (10,2) and (-6,-6)
    12·2 answers
  • Travis went to the Taco Store. He walked 3 blocks to the restaurant, and he got the special of 5 tacos for $7.00 and a glass of
    9·2 answers
  • Solve the inequality and enter your solution as an inequality in the box below, using "" for 2 if necessary. -5(4x + 7) ​
    15·1 answer
  • CAN SOMEONE HELP ME WITH THIS?! I NEED ANSWER ASAP!
    12·1 answer
  • BRAINLIEST!!!!!!!!!!!!!!!!!!!
    8·2 answers
  • there are three consecutive odd integers. Three times the largest is 7 times the smallest. WHat are the integers
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!