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
docker41 [41]
3 years ago
8

I need help

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer:

a)  x =3 and x=5

c)  x =-1 and x = \frac{-7}{3}

i)  x =0 and  x = \frac{-9}{2}

Step-by-step explanation:

a)

Given that the quadratic equation

    x² - 8x +15 =0

The factors of 15 = 5 × 3

   x² - 5x -3x +15 =0

  x(x -5) -3(x-5) =0

  (x-3)(x-5) =0

x =3 and x=5

c)

  3 x² + 10 x +7 =0

⇒   3x² + 3x + 7x +7 =0

⇒   3x (x +1) +7(x+1) =0

⇒  (x+1) ( 3 x +7) =0

⇒  x =-1 and x = \frac{-7}{3}

i)

     2 x ² + 9 x =0

⇒ x( 2 x + 9) =0

⇒ x =0 and 2 x = -9

⇒ x =0 and  x = \frac{-9}{2}

You might be interested in
Helppp meee plssss
Volgvan

Answer:

  • Cost of fish = Php. 60, amount of fish = x kg
  • Cost of chicken = Php. 120, amount of chicken = y kg
  • Budget = at most Php. 1200

a) <u>Required inequality (not a system as only one condition is given):</u>

  • 60x + 120y ≤ 1200

<u>Simplified:</u>

  • x + 2y ≤ 20
  • <em>The graph is attached</em>

b) <u>Verify ordered pair (10, 7):</u>

  • 10 + 2*7 ≤ 20
  • 24 ≤ 20

False inequality, so this pair is out of solution set

8 0
3 years ago
Farmer Ed has 9,500 meters of fencing,
Andreas93 [3]

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get:</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: </em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for x</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equation</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distribute</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y </em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = </em><em>- </em><em>b</em><em>/2a = -7500/[2(-2)] = 1875</em>

<em>/2a = -7500/[2(-2)] = 1875 </em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750</em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 </em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2</em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2 </em>

5 0
3 years ago
What is a counting number
galben [10]

By definition a counting number is all non-negative integers.

4 0
3 years ago
If you go to school 5 days a week are the weekends your technical days off?
Sati [7]

Answer:

Yes! The weekend is time where you get a break from school/homework and relax! :)

6 0
3 years ago
Theresa has a credit card that uses the average daily balance method. For the first 12 days of one of her billing cycles, her ba
katrin [286]
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:

\frac{350\times12+520\times19}{12+19} = \frac{4200+9880}{31}  \\  \\ = \frac{14080}{31} =$454.19

Therefore, the interest charge on Theresa for the biling cycle is given by:

\frac{454.19(0.14)}{12} = \frac{63.59}{12}  \\  \\ =\$5.30
4 0
3 years ago
Read 2 more answers
Other questions:
  • A pitcher can throw at a speed of 30 miles per hour. If the pitcher is 60.5 feet from home plate, how many full seconds would it
    7·1 answer
  • What is the measure of angle 3?
    15·1 answer
  • The mass of the earth is 5.97x10 24 kilograms. the mass of the moon is 7.34 x 10 22 kilograms
    8·1 answer
  • Help on the 2 one please!!
    12·2 answers
  • Pythagorean theorem<br>practice test<br>​
    11·2 answers
  • PLEASE HELP ILL GIVE BRAINLEST<br><br> Circle the like terms: <br><br> ⅓ x 4x2 8xy -x -5x
    13·2 answers
  • Complete the paragraph to show how you can solve problems involving equivalent expressions.
    9·2 answers
  • I need help with this please
    9·1 answer
  • Question 5 (4 points)
    12·1 answer
  • Which function is the inverse of f(x)=-5x-4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!