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
devlian [24]
3 years ago
8

Where does the graph of y=2x2-x-3 cross as the x-axis?

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0
This can be determined by finding the x-intercept. In doing so, we let y=0 to find the value of x.

y= 2x^2 -x -3
[0 = 2x^2 -x-3]÷2
0 = x^2 -1/2 x - 3/2

Complete the squares:

1/16 + 3/2 = x^2 - 1/2x + 1/16
25/16 = (x -1/4)^2
sqrt (25/16) = x - 1/4
+/- 5/4 = x - 1/4

Thus,
x = 1/4 + 5/4 = 3/2
x = 1/4 - 5/4 = -1

Thus, the graph crosses at x = 3/2 and x = -1.
You might be interested in
Look at the number 4,444. How is the value of the 4 changing as it moves one place to the left
kakasveta [241]

Answer:

its going up by 10

Step-by-step explanation:

8 0
3 years ago
Work out the angle of x 97degrees
aleksandrvk [35]

Answer:

Answer is 3x

Step-by-step explanation:

6 0
3 years ago
Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he
ziro4ka [17]

Answer:

In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:

C1(X) = $25 + $10*X

While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:

C2(X) = $15*X

Now, let's find the value of X where C1 and C2 are equal, this is:

$25 + $10*X = $15*X

$25 = $15*X - $10*X = $5*X

X = 25/5 = 5

This means that if he buys 5 rosebushes, he will pay the same amount in both places.

If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)

If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)

5 0
3 years ago
Can someone please help
Neporo4naja [7]
All I know is 5 and 6.

5. -7 (the picture is the model to draw)
6. -5

8 0
3 years ago
Am i right brainliest going to first correct answer
Firdavs [7]
The solution to the inequality is -20.8 > p (imagine the symbol is the symbol for at least)
5 0
3 years ago
Read 2 more answers
Other questions:
  • How many pints is in 1,620 gallons
    13·1 answer
  • given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their ax
    9·1 answer
  • Find the equation of the line through (- 7, - 2) that is perpendicular to the line y = x/3 + 6 .
    9·1 answer
  • Based on Rudy’s baseball statistics,the probability that he will pitch a curveball is 1/4.if rudy throws 20 pitches,how many pit
    13·1 answer
  • Simplify <br><br> ab + ab - bc - ab + bc
    12·1 answer
  • Simplify the radical expression. Use absolute value symbols if needed. Show work.
    5·1 answer
  • Find the inequality represented by the graph​
    6·2 answers
  • Dividing Radicals ~could someone explain this please?
    10·1 answer
  • In a mathematics class, the following test scores were recorded for a student. Find the mode 90, 99, 95, 78, 81, 89
    10·2 answers
  • Heather has an international cell phone plan.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!