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kompoz [17]
3 years ago
5

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

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A number is divided by 6.then 8 is added Mto the quotient. Next3 is subtracted from the sum.the result is 7. What is the number?
hjlf

(n/6 + 8) - 3 = 7

(n/6 + 8) - 3 + 3 = 7 + 3

n/6 + 8 - 8 = 10 - 8

n/6 = 2

(n/6)(6) = 2(6)

n = 12

6 0
3 years ago
11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
The 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio​
Airida [17]

Answer:

r = - \frac{1}{3}

Step-by-step explanation:

The n th term of a GP is

a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 18 and a₆ = - \frac{2}{27} , then

18 r^{5} = - \frac{2}{27} ( divide both sides by 18 )

r^{5} = - \frac{1}{243} ( take the fifth root of both sides )

r = \sqrt[5]{-\frac{1}{243} } = - \frac{1}{3}

4 0
3 years ago
When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your equa
olga2289 [7]

The value of n you plug into your equation will be 6. Then the correct option is C.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

When calculating a loan’s effective rate.

If the interest compounds every two months.

Then the value of n you plug into your equation will be

If the interest is compounded every two months, the interest will be applied six times every year.

Because there are 12 months in a year, the value of n that you will plug into your equation is 6, and it will be compounded every two months.

More about the compound interest link is given below.

brainly.com/question/25857212

8 0
2 years ago
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A 10 inch pizza cost $8 while a 1w inch pizza cost $10.50. Which ilsize is the better deal?
Ann [662]
What size is the second pizza supposed to be?
5 0
3 years ago
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