Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3

Step-by-step explanation:

If we have the standard form , then we can use the quadratic formula:

First, let's identify our coefficients. We have .

This can be rewritten as .

Therefore, a=2, b=-10, and c=3.

Substitute these values into the quadratic formula. This yields:

From here, simplify. Evaluate the expression under the square root:

Evaluate:

Note that:

Therefore:

We can factor out a 2 from both the numerator and the denominator:

Simplify:

Therefore, our roots are:

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: