Ask question

Ask question

All categories

2 years ago

13

What are the roots of the function y = 4x2 + 2x - 30?

1 answer:

a_sh-v [17]2 years ago

7 0

Answer:

-3, 5/2

Step-by-step explanation:

What are the roots of the function y = 4x2 + 2x – 30?

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

Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)

Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)

Use the zero product property and set each factor equal to zero and solve.

x+3=0 2x-5 = 0

x = -3, 5/2

The roots of the function are -3, 5/2.

Hope this helped!

You might be interested in

Given: ∠ A = ∠ C, E is the midpoint of AC<br> Prove: △AEB △CED

bija089 [108]

Answer:

Step-by-step explanation:

3.AE = CE E is the midpoint of AC

4. ∠AEB = ∠CED Vertically opposite angles are equal

5. ΔAEB = ΔCED ASA congruence

4 0

2 years ago

Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There

zvonat [6]

So we have the following system of equations:

$\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}$

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

$\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}$

So y=-1. If we use this value in the second equation:

$\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}$

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

5 0

9 months ago

A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the

babymother [125]

Volume of a cone, V = πr^2h/3

r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum

Surface area, A = πr [r+ Sqrt (h^2+r^2)] = 3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2

Therefore, minimum amount of paper required is 92.95 cm^2

4 0

3 years ago

Find the highest common factor (HCF) of 72 and 98.

Y_Kistochka [10]

<em>Answer:</em>

<em>2</em>

<em>Step-by-step explanation:</em>

<em>The factors of 72: 1, </em><em>2</em><em>, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72</em>

<em>The factors of 98: 1, </em><em>2</em><em>, 7, 14, 49, 98 </em>

<em>Your greatest common factor is 2.</em>

<em>Hope this helps. Have a nice day.</em>

3 0

3 years ago

What is the area and perimeter. please answer asap

Airida [17]

Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

(I'll redo it if this isn'twhat you meant by)

7 0

3 years ago