answer.
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
kogti [31]
2 years ago
10

Given y = 2x2 - 10x. Find all real values of x for which y = -3.

Mathematics
2 answers:
Stella [2.4K]2 years ago
6 0
First, plug in -3 for the y value.
-3=2x²-10x
Then, add 3 to both sides.
0=2x²-10x+3
Use the quadratic equation to solve
(-b+-√b²-4ac)/2a
You get 4.68 or 0.32
You still have to check your answer to see if there is an excluded value.
Both values check.

kirill115 [55]2 years ago
5 0

Answer:  The required values of x are \dfrac{-5\pm\sqrt{19}}{2}.

Step-by-step explanation:  We are given the following function of x :

y=2x^2-10x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find all real values of x such that y = -3.

To find the required values of x, we must substitute y = -3 in equation (i).

Therefore, from equation (i), we have

y=-3\\\\\Rightarrow 2x^2-10x=-3\\\\\Rightarrow 2x^2-10x+3=0\\\\\Rightarrow x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times2\times3}}{2\times2}\\\\\\\Rightarrow x=\dfrac{-10\pm\sqrt{100-24}}{4}\\\\\\\Rightarrow x=\dfrac{-10\pm\sqrt{76}}{4}\\\\\\\Rightarrow x=\dfrac{-10\pm2\sqrt{19}}{4}\\\\\\\Rightarrow x=\dfrac{-5\pm\sqrt{19}}{2}.

We notice that both the values of x are real numbers.

Thus, the required values of x are \dfrac{-5\pm\sqrt{19}}{2}.

You might be interested in
The after school craft center has 15 boxes of 64 crayons each. In 12 of the boxes , 28 of the crayons have not been used. All th
netineya [11]
You are going to do 64-28=36

8 0
2 years ago
We can calculate EE, the amount of euros that has the same value as DD U.S. dollars, using the equation E=\dfrac{17}{20}DE=
Rudik [331]

Answer:

We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.


We need to find number of euros for 1 U.S. Dollar.


Plugging d=1 in the given equation


We get


e=\frac{17}{20}(1)


On simplfying , we get


e=\frac{17}{20}


Dividing 17 by 20, we get 0.85.


Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.


Read more on Brainly.com - brainly.com/question/11243826#readmore

Step-by-step explanation:


5 0
2 years ago
Read 2 more answers
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get a
SIZIF [17.4K]

THe closest answer i got was 18122

5 0
2 years ago
Clyde is baking, and the recipe requires 1 1/3 cups of flour. Clyde has 2 cups of flour, but he is doubling the recipe to make t
ki77a [65]
2 times 4/3= 8/3    8/3-6/3=2/3 therefore Clyde needs 2/3 cup more flour. 
5 0
2 years ago
Alice walks 6/10 mile everyday. How many miles does she walk in 5 days?
Yuki888 [10]
6/10 per day

6/10 x 5 days

6 x 5 = 30

30 / 10 =  3 miles in 5 days
4 0
2 years ago
Other questions:
  • Holly had $5,000 in her bank account. She withdrew $800 to buy a new bike. What is the percent decrease in the balance of her ac
    11·2 answers
  • Which of the following four items is LEAST like the other three? A, H, I, E
    7·2 answers
  • Finn bought 2 packs of stickers. Each pack had the same number of stickers. A friend gave him 4 more stickers. Now he has 24 sti
    9·2 answers
  • A scientist is studying red maple tree growth in a state park. She measured the trunk diameters of a sample of trees in the same
    14·2 answers
  • Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan
    11·2 answers
  • A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their
    7·1 answer
  •  A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even​ number, you get a 15​%
    12·1 answer
  • The final velocity of an object moving in on one dimension is given by the formula v = u + at, where u is the initial velocity,
    14·1 answer
  • Find the third degree polynomial function that has an output of 1,025 when x=5, and has zeros −20 and −4i.
    12·2 answers
  • Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!