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3 years ago

-4b + 9 < -7 helpppppppp

Mathematics

1 answer:

Alla [95]3 years ago

8 0

Answer:

b>4

Step-by-step explanation:

after u divide inequalities with a negetive number, the the inequality sign changes

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GaryK [48]

Answer:okkk

Step-by-step explanation:

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3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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3 years ago

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission ti

sashaice [31]

It would be 148 general admissions tickets. If you want the work you can comment.

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3 years ago

1 point<br> 5) Solve by using the quadratic formula 8x² = 15 - 14x

kykrilka [37]

<h3>I'll teach you how to solve 8x² = 15 - 14x</h3>

----------------------------------------------------

8x² = 15 - 14x

Add 14x to both sides:

8x^2 +14x =15-14x+14x

Simplify:

8x^2 +14x =15

Subtract 15 from both sides:

8x^2+14x-15 = 15-15

SImplify:

8x^2+14x-15 = 0

Solve with the quadratic formula:

x= $\frac{-14+ \sqrt{14^2-4*8(1-15)} }{2*8}$ = 3/4

x= $\frac{-14+ \sqrt{14^2-4*8(1-15)} }{2*8}$ = -5/2

The solutions to the quadratic formula are:

x= 3/4, x=-5/2

Your Answer Is x= 3/4, x=-5/2

plz mark me as brainliest :)

6 0

3 years ago

Brian ate 2/3 of a pizza. His friend, Joseph ate 1/4 of what was left. How much pizza did joseph eat?

pshichka [43]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

$\frac{2}{3}$ = $\frac{8}{12}$

$\frac{12}{12}$ - $\frac{8}{12}$ = $\frac{4}{12}$

$\frac{4}{12}$ * $\frac{1}{4}$ = $\frac{4}{48}$ = $\frac{1}{12}$

3 0

3 years ago