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
sleet_krkn [62]
4 years ago
7

To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.

Mathematics
1 answer:
Assoli18 [71]4 years ago
4 0

Answer:

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

Step-by-step explanation:

Given

4x² + 2x - 30 = 0 ( divide through by 2 )

2x² + x - 15 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 15 = - 30 and sum = + 1

The factors are + 6 and - 5

Use these factors to split the x- term

2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term

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

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

You might be interested in
Please help fill in the blanks, better with explanation but optional
goldfiish [28.3K]
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
4 0
3 years ago
Read 2 more answers
What does 3.456E+14 mean on a calculator
Natalija [7]

Answer:

The E+ on the calculator means x10^.

Step-by-step explanation:

So, when we input that instead, we get the scientific notation of:

3.456x10^14

If we want this in standard notation, we simply move the decimal place 14 times to the right.

345,600,000,000,000

3 0
4 years ago
A circular railroad-crossing sign has a diameter of 30 inches. Which measurement is closest to the area of the sign?
marishachu [46]

Answer:

A is about 706.86 inches squared   hope this helps!   :)

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·302≈706.85835in²

8 0
3 years ago
20 POINTS QUESTION IN PICTURE
Serga [27]
Domain includes all the x-values in the function. Range includes all the y-values in the function.

The first table has x-values of -1, 3, and 6, and y-values of 4, 5, and 6. This means that the domain and range would be given by the following sets:
Domain: {-1, 3, 6}
Range: {4, 5, 6}

The second set of points has x-values of -4, -4, -3, and 1, and y-values of 1, 1, 3, and 4. Duplicate points are not listed within the domain and range, so the domain and range would be given by the following sets:
Domain: {-4, -3, 1}
Range: {1, 3, 4}
7 0
3 years ago
Read 2 more answers
Real life Applications of Polynomials?
ahrayia [7]

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.

-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )

3 0
4 years ago
Other questions:
  • What is the exact remainder of 209÷47
    14·2 answers
  • A street sign company is making street signs in the shape of equilateral triangles. The side length of each sign is 22 inches. W
    13·1 answer
  • A strong man can carry a maximum of 160 kg. Each bag of rice weigh 25 kg. How many full
    5·2 answers
  • A light bulb consumes 960 watt-hours per day. How long does it take to consume 4320 watt-hours?
    13·1 answer
  • 3. Tell whether each statement is true or false Explain how you know a) LCM (7, 18) - LCM (14.18) b) LCM (5,8) - LCM (10,8) c) T
    15·1 answer
  • On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
    14·2 answers
  • How to wright a related multiplication sentence for 1/4 divided by 5
    15·2 answers
  • Please help! I will mark as brainliest. <3
    8·1 answer
  • A shop sold 42 boxes of flowers. Each box contained 18 flowers. work out the total number of flowers sold.
    8·2 answers
  • 2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!