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
Svetlanka [38]
2 years ago
12

Find the x- and y- intercepts of parabola y=5x^2-16x+10

Mathematics
1 answer:
____ [38]2 years ago
5 0

Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

You might be interested in
Solve the equation. Check your answers.<br>29=7x+5-4x​
Vladimir [108]

Answer:

x = 8

Step-by-step explanation:

29=7x + 5 -4x

add like terms: 29 = 3x +5

get your x variable on one side

24 = 3x

divide by 3

x = 8

check!

29 = 7(8) + 5 -4(8)

29 = 56 + 5 -32

29 = 51 - 32

29 = 29

6 0
3 years ago
Name the types of angles shown
Karo-lina-s [1.5K]

Answer:

B) supplementary angles

C) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

8 0
3 years ago
If the simple interest on ​$6000 for 9 years is ​$​2160, then what is the interest​ rate?
NISA [10]

Step-by-step explanation:

<h2> l=P×R×T</h2><h3> 6000=2160×X/100×9</h3><h3> 6000÷194.4</h3><h2> =30.86%</h2>
5 0
2 years ago
What number is 7 times as much as 9
fenix001 [56]

Answer:

7 * 9 = 63

Step-by-step explanation:

Because...

The word Times let's you know you have to multiply.

* Hopefully this helps:) Mark me the brainliest:)!

3 0
3 years ago
The student council consists of 32 girls and 18 boys. Twenty five of the girls and15 of the boys are presently enrolled in algeb
MatroZZZ [7]

Answer:

c

Step-by-step explanation:

i did it

6 0
3 years ago
Other questions:
  • Macy deposited $25,000 in a money market account earning 2.5% interest, compounded semiannually. What is Macy's return on this i
    7·2 answers
  • Find the difference in length between a walking stick and a bumblebee
    6·2 answers
  • The area of a rectangle is 228 sq feet if the length of rectangle is 12 feet what would be the width of the rectangle
    5·1 answer
  • Question 3<br> 65% of 700<br><br><br> Question 4<br> 25% of 84
    11·2 answers
  • State the slope and y-intercept of the graph of y + 2x = 3.
    12·2 answers
  • Simplify<br> √(8+2√15)<br><br> The decimal answer won't work.
    8·1 answer
  • PLEASE ANSWER ANY PROBLEM ASAP THANK YOU SO MUCH
    14·2 answers
  • I’m giving brainliest !!!
    8·1 answer
  • Explain how James Fenimore Cooper’s works connected the fine arts with changes in the American way of life.
    15·1 answer
  • Can someone please help mee i need the exact answer(30 points will give brainliest!!!)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!