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3 years ago

Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.

1 answer:

5 0

$\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y$

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Answer:

Step-by-step explanation:

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3 years ago

Rule: subtract 2 from x to get y

UNO [17]

Answer:

x-2=y

Step-by-step explanation:

I have written the equation for the statement.

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3 years ago

Mr. Tally inherited $200,000. He used a portion of the inheritance to build a house. He invested the rest of the money for one y

Ivan

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount inherited = $200,000

Portion used to build house = h

Invested amount = 200,000 - h

1/3 of (200,000 - h) was invested at 12%

2/3 of 200,000 - h was invested at 15%

Interest from both investment = 8400

Cost of building =?

Using the simple interest formula :

Principal(P) * rate(r) * time

If the investment was for a year:

1st investment :

(200,000 - h)/3 * 0.12 * 1 = (24000 - 0.12h) / 3 = (8000 - 0.04h)

2nd :

(200,000 - h)*2/3* 0.15 * 1 = (20,000 - 0.1h)

Summing both :

8000 - 0.04h + 20,000 - 0.1h = 8400

28000 - 0.14h = 8400

-0.14h = 8400 - 28000

-0.14h = - 19600

= 140,000

3 0

3 years ago

Solve the following equation: (Find x) <br>a) (x-5)²+(2x-10)(x+3)-x²+25

Alex73 [517]

Answer:

hence the value of x is either 5 or 2

x=5 or x=2

4 0

2 years ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.

grigory [225]

Answer: THIRD OPTION.

Step-by-step explanation:

Since $g(x) = -2f(x)$ , then $g(x)$ is:

$g(x)=-2( x + 4)\\\\g(x)=-2x-8$

In order to find which table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ , you can follow these steps:

1. Substitute $x=1$ into the function $g(x)=-2x-8$ :

$g(1)=-2(1)-8\\\\g(1)=-10$

2. Substitute $x=2$ into the function $g(x)=-2x-8$ :

$g(2)=-2(2)-8\\\\g(2)=-12$

3. Substitute $x=3$ into the function $g(x)=-2x-8$ :

$g(3)=-2(3)-8\\\\g(3)=-14$

Notice that those ouput values (for $x=1,\ x=2$ and $x=3$ ) matches with the table provided in the third option. That table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ :

6 0

3 years ago

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