MATHEMATICS HIGH SCHOOL

X^2-5x-24=0

3x^2+x-4=0

Solve by factoring or using the quadratic formula

Answers

Answer 1
Answer: x^2-5x-24=0\n\n-5x=3x-8x\n-24=3\cdot(-8)\n\nx^2-5x-24=0\n\n\Downarrow\n\n(x+3)(x-8)=0\iff x+3=0\ \vee\ x-8=0\n\nx=-3\ \vee\ x=8

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3x^2+x-4=0\n\na=3;\ b=1;\ c=-4\n\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot3\cdot(-4)=1+48=49\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(-1-√(49))/(2\cdot3)=(-1-7)/(6)=(-8)/(6)=-(4)/(3)\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(-1+√(49))/(2\cdot3)=(-1+7)/(6)=(6)/(6)=1
Answer 2
Answer: x^2-5x-24=0\n x^2+3x-8x-24=0\n x(x+3)-8(x+3)=0\n (x-8)(x+3)=0\n x=8 \vee x=-3

3x^2+x-4=0\n 3x^2-3x+4x-4=0\n 3x(x-1)+4(x-1)=0\n (3x+4)(x-1)=0\n x=-(4)/(3) \vee x=1

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Answers

Yes but I don't know how to explain i wish i could help more sorry

What is the unit rate if 12 pairs of socks sell for 5.79?

Answers

Each one is about 48 cents / .48


12/5.79=1/x

12x=5.79(1)

12x=5.79

[divide 12 on both sides]

x=193/400(0.4825)

Three married couples attend a football game. In how many ways can they be seated in six seats in a row if all the men are seated together and all the women are seated together?6!
20
120
72

Answers

6 bc there is only 6 people and 1 row
6 bc thier is one row and six people

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

The value of cos(x/2) is required.

The required value is \cos(x/2)=-\sqrt{(5-2√(5))/(10)}

Trigonometry

The given value is

\tan x=(1)/(2) where x is in quadrant III.

From trigonometricidentities we have

\sec^2x=1+\tan^2x\n\Rightarrow \sec^2x=1+((1)/(2))^2\n\Rightarrow \sec^2x=(5)/(4)\n\Rightarrow \cos^(2)x=(4)/(5)\n\Rightarrow \cos x=(2)/(√(5))

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrantIII so,

\cos x=-(2)/(√(5))=-(2√(5))/(5)

\cos (x)/(2)=\pm \sqrt{(1+\cos x)/(2)}\n =\pm\sqrt{(1-(2√(5))/(5))/(2)}\n =\pm\sqrt{(5-2√(5))/(10)}

Since, x/2 lies in the secondquadrant and cos (x/2) is negative.

The required value is -\sqrt{(5-2√(5))/(10)}

Learn more about trigonometry:

brainly.com/question/24349828

Answer:

Step-by-step explanation:

Question 2 of 10The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?

Answers

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7

Answer:

option C is correct

x^4 - x^2 - 2.5

Given the formula
an = 3 * 2^n-1
What is the 9th term?

Answers

Answer:

a9=3×2^9-1

a9=3×2^8

a9=3×256

a9=768
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