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3 years ago

I feel like something is wrong, is there?

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

# 4 (-5,2) should be placed one more place to the right

#5 (5,1) should be moved once up

Step-by-step explanation:

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The value 5pi/2 is a solution for the equation 2sin^2x -sin x -1=0

victus00 [196]

Answer:

5π/2 it is not a solution for the equation 2sin²x - sinx - 1 = 0

Step-by-step explanation:

∵ 2sin²x - sin x - 1 = 0

* Lets factorize it as a quadratic equation

∴ ( 2sinx + 1)(sinx - 1) = 0

∴ 2sinx + 1 = 0 ⇒ 2sinx = -1 ⇒ sinx = -1/2

* ∵ The value of sinx is -ve

∴ x is in the 3rd or 4th quadrant ⇒ According to ASTC Rule

- ASTC Rule: 1st all +ve , 2nd sin only +ve ,

3rd tan only +ve , 4th cos only +ve

* Let sinα = 1/2 where α is an acute angle

∴ α = π/6

∵ x is in 3rd or 4th quadrant

∴ x = π + α = π + π/6 = 7π/6 or

∴ x = 2π - π/6 = 11π/6

∴ sinx - 1 = 0 ⇒ sinx = 1

∴ x = π/2

∴ ALL values of x are π/2 , 7π/2 , 11π/2 if 0 ≤ x ≤ 2π

∴ 5π/2 it is not a solution for the given equation

3 0

3 years ago

Read 2 more answers

What is the factorization of g3 – 125?

Mkey [24]

$\bf \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3 \\\\
-------------------------------\\\\
g^3-125\implies g^3-5^3\implies (g-5)(g^2+5g+5^2)
\\\\\\
(g-5)(g^2+5g+25)$

4 0

3 years ago

What is 3533÷274737473

tensa zangetsu [6.8K]

3,533÷274,737,473=0.0000128595490139054

4 0

4 years ago

Read 2 more answers

HELP ASAP! Use a calculator to find the r-value of these data. Round the value to three decimal places.

AleksandrR [38]

We know that
In statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1

using a excel tool
see the attached figure

<span>the r-value is -0.98534-------> -0.985
</span>
the answer is
-0.985

4 0

4 years ago

A woman drives an SUV that gets 10 mi/gal (mpg). Her husband drives a hybrid that gets 50 mpg. Every week, they travel the same

zavuch27 [327]

Answer:

The best option would be Number 1.

Step-by-step explanation:

Let's say that they each traveled 1,000 miles a week, meaning that instead of the SUV using 100 gallons of gas, it would be using 90.9, which is 9.1 gallons less.

The hybrid will only use 20 gallons of gas in that week. Meaning together, they will be 100.9 gallons a week for 1,000 miles.

In option 2, they would still be using 100 gallons of gas for the SUV a week, except, the hybrid would only be using 12.5 gallons, which is 7.5 gallons less.

The total of those together would be 112.5 gallons a week for 1,000 miles. So, it may be a small difference between the two options, yet Option 1 is the best choice on how to save gas.

5 0

3 years ago

Read 2 more answers