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
Nadusha1986 [10]
3 years ago
11

In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

You might be interested in
Please tell me how to do this, I'll mark brainliest if you do
Arada [10]

The bottom line is a straight line that is equal to 180 degrees.

The three angles above it all need to add together to equal 180.

One angle is given as 20, so the other two need to add together to equal 160 ( 180-20 = 160)

Those two angles form the angle ACE so the answer would be 160 degrees,

Answer 160 degrees.

3 0
2 years ago
Read 2 more answers
One electrician charges his customers a $60 service fee plus $35 per hour.
gavmur [86]

Answer:

2 hours; $130

Step-by-step explanation:

We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:

65 * x = 60 + 35* x

30 * x = 60

x = 2 hours

The cost will be the same at two hours, and plugging it in, we can get 65*2=130.

5 0
2 years ago
a big penguin will eat three times as much as a small penguin. the big penguin will eat 21 grams of fish. let b = number of gram
garik1379 [7]
S equals 3 times B, I think.
Hope I helped c:
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-3%7D%7Bx%2B2%7D%20%3D%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1" title="\frac{x-3}{x+2
Shkiper50 [21]

Answer:

x=17/4

Step-by-step explanation:

(x-3)/(x+2)=1/5

cross product

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

x+2=5x-15

5x-x-15=2

4x-15=2

4x=2+15

4x=17

x=17/4

3 0
3 years ago
Due at 11:59 PLS HELP
Lelechka [254]
The answer is the last one
8 0
2 years ago
Other questions:
  • PLEASEEEEE HELPPPPP SIXTH GRADE MATH HELPPP
    5·1 answer
  • scientists says there that says that there are 43.2 x 10,000 Birds in the United States all those birds 1/8 or chickens how many
    12·1 answer
  • WILL MARK BRAINIEST ASAP PLEASE HELP!!!!!!!!!!!!!!11111 What is the coefficient of the c-term of the algebraic expression 14 a m
    10·1 answer
  • HALP ITS DUE TODAY and somehow im struggling and this is week 3 -_-​
    11·1 answer
  • Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)
    8·1 answer
  • A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this ex
    13·2 answers
  • Help me ASAP please!!
    5·1 answer
  • An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the re
    9·1 answer
  • Beth has $105 in her bank account. She buys x shirts for $5.75 each. Write and solve an equation Beth can use to find how many s
    9·1 answer
  • What is meaning of pictogram​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!