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
weqwewe [10]
3 years ago
12

What is the solution set to the equation 2x squared - 7x - 15 = 0

Mathematics
2 answers:
Alex73 [517]3 years ago
5 0

Answer:

x=-\frac{3}{2} and x=5

Step-by-step explanation:

2x^2-7x-15=0

Factor by grouping.

(2x+3)(x-5)=0

Now apply the zero property

2x+3=0\\2x=-3\\x=-\frac{3}{2}

and

x-5=0\\x=5

ozzi3 years ago
4 0

Hello,

Step-by-step explanation:

2x² - 7x - 15 = (x - 5) (2x + 3)

x - 5 = 0 ⇔ x = 5

2x + 3 = 0 ⇔ x = -3/2

You might be interested in
Shana is at the grocery store comparing two brands of juice. Brand A costs $3.84 for a 16-ounce bottle. Brand B costs $4.50 for
DaniilM [7]
I hope this helps, it is correct.

5 0
3 years ago
A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I co
lisov135 [29]

Answer:

The complete solution and step by step explanation is written below.

<em>Note:</em>

Here is the complete question you were probability asking as you may have unintentionally missed to mention the parts (a) and (b). So, after a little research, I figured out that this was probably the complete question you had meant to ask. So, I am answering based on the reference of this complete question that may indeed clear your concepts.

Complete Question:

<em>A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs ​$2.40 per​ gallon, and milk from dairy II costs ​$0.80 per gallon. At most ​$144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9​% ​butterfat, and dairy II can supply at most 80 gallons averaging 2.9​% butterfat. Answer parts a and b</em>.

<em>A. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of butterfat? (Also, what IS the maximum amount of butterfat?)</em>

<em>B. The solution from part A leaves both dairy 1 and dairy 2 with excess capacity. Calculate the amount of additional milk each dairy could produce.</em>

Step-by-step explanation:

Let A be number of gallons of the amount of milk the company bought from Dairy 1.

(100 - X) be the number of gallons of the amount of milk the company bought from Dairy 2.

Milk from dairy I costs ​$2.40 per​ gallon and milk from dairy II costs ​$0.80 per gallon.

So, the equation of total cost available for purchasing the milk be:

                            Cost =  2.40A + ( 100 - A)0.80

As $144 is the total cost available for purchasing the milk.

Hence, Cost equation would be as follows:

                             Cost =  2.40A + ( 100 - A)0.80

                               144 =  2.40A + ( 100 - A)0.80

                               144 = 2.40A + 80 - 0.80A

                              1.6A = 64

                            So, A = 64 ÷ 1.6

                                      = 40 gallons

<em>Calculation of gallons of Dairy 1 and Dairy 2:</em>

gallons of Dairy 1 ⇒ A = 40 gallons

gallons of Dairy 1 ⇒ 100 - A = 100 - 40 = 60 gallons

<em>The equation for Fat will be:</em>

Fat for dairy 1 = 40 × 3.9​% = 1.56

Fat for dairy 2 = 60 × 2.9​% = 1.74

ADD = 1.56 + 1.74 = 3.3 %

<em>Calculation Part B:</em>

Dairy 1 will have = 50 - 40 = 10 gallons ( excess)

Dairy 2 will have = 80 - 60 = 20 gallons (excess)

   

Keywords: word problem, equation solving

Learn more about word problems and equation solving from brainly.com/question/8917703

#learnwithBrainly

5 0
2 years ago
Which linear inequality is represented by the graph?
kompoz [17]
The answer is D since is the only one that has the correct y intercept
4 0
3 years ago
17+(−8)+(−8) help plweasee
madam [21]

Answer:

1

Step-by-step explanation:

17+(-8)+(-8)

9+(-8)

1

6 0
3 years ago
Read 2 more answers
When the expression 3x^4+5x-6x^2+10x^3 is written with terms in descending order (from highest to lowest), which list represents
san4es73 [151]
3x^4 + 5x - 6x^2 + 10x^3....in descending order

3x^4 + 10x^3 - 6x^2 + 5x
coefficients are : 3,10,-6,5
8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line, y=23x+7
    8·2 answers
  • HELP
    10·2 answers
  • Matt had to write 3 4/12 as an improper fraction how would to tell Matt the easiest way to do so?
    9·1 answer
  • Elizabeth went on a trip with
    6·1 answer
  • Write the equation of the line that passes through the two points: (3, 1) and (7,9)​
    9·1 answer
  • FREEEEEEEEEEEEEEEEEE POINTSSSSSSSSSSSS​
    14·1 answer
  • Which of the value is y?<br> y-32=21<br> y=47<br> y=53
    9·1 answer
  • Determine whether the relation is a function. Quick EMERGENCY ​
    13·2 answers
  • Rocío paga por un par de zapatos 94.50 soles sabiendo que es el precio y luego de los descuentos sucesivos de 10 %y 20% cuál es
    10·1 answer
  • Find the value of x so the figures have the same area
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!