Five more than twice a number is seventeen.

Mathematics

2 answers:

bonufazy [111]3 years ago

6 0

Answer:

the number is 8

Step-by-step explanation:

saveliy_v [14]3 years ago

4 0

If five more than twice a number is seventeen, then just twice the number is five less than seventeen. So, twice the number is seventeen minus five, which is twelve. Twice the number is twelve. Now, to find the number by itself, we need to divide twelve by two. So, the number is six.
We can check our answer like this: is five more than six times two seventeen?? Well, six times two is twelve. Five more than twelve is seventeen. So, we are right.

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Digiron [165]

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Step-by-step explanation:

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Using the discriminant, describe the nature of the roots for the equation 49x^2 − 28x + 4 = 0.

scZoUnD [109]

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Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

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Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

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2 years ago

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