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3 years ago

11

X to the second power + 6x - 7 = 0

1 answer:

velikii [3]3 years ago

6 0

X can equal -7 or 1
X = -7 and 1

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John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants

sergeinik [125]

<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>

8 0

2 years ago

What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6

RoseWind [281]

Answer: $\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}$

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

$a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0$

Where:

- The coefficients are integers.

- $a_n$ is the leading coeffcient ( $a_n\neq 0$ )

- $a_0$ is the constant term $a_0\neq 0$

Every rational root of the polynomial is in the form:

$\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}$

For the case of the given polynomial:

$2x^7+3x^5-9x^2+6=0$

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

Then, by Rational Roots Test we get the possible rational roots of this polynomial:

$\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}$

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2 years ago

sue was mixing the dry ingredients in a bowl for a cake.the original recipe called for 4 pounds of flour and 2 pounds of sugar .

o-na [289]

2 pounds of flour and 1 pound of sugar

7 0

2 years ago

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Wat is 5/9-1/3<br> Equal to.

Llana [10]

$\frac{5}{9}-\frac{1}{3}=\\\frac{5}{9}-\frac{1}{3}*\frac{3}{3}=\\\frac{5}{9}-\frac{3}{9}=\\\frac{2}{9}$

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2 years ago

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What is the slope of a line perpendicular to y=2x

NISA [10]

The slope would be -1/2

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2 years ago

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