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2 years ago

5

you drove your vehicle to and from your work last year your records show a total of 1,860 for fixed cost and 5,000 for a variabl

e costs if it costs you 0.40 per mile to drive how many mile did you drive last year

1 answer:

kow [346]2 years ago

6 0

KnwoqniqoO&k99&1&8*_£[£[*[‘qoqnoN8&-9’qq

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Evaluate -a - 12a^2 for a = -1<br><br> a. -13<br> b. 13<br> c.-11

Gelneren [198K]

C

substitute a = - 1 into the expression

- (- 1) - 12(- 1)² = 1 - (12 × 1 ) = 1 - 12 = - 11 → C

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3 years ago

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lapo4ka [179]

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2 years ago

kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will h

Elden [556K]

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6 weeks

Step-by-step explanation:

8 quizzes = 4 weeks

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2 years ago

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Goshia [24]

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2 years ago

Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum

otez555 [7]

<u>Step-by-step explanation:</u>

To prove:

$\cos 3x=\cos^3x-3\sin^2 x\cos x$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

Taking the LHS:

$\Rightarrow \cos 3x=\cos (x+2x)$

Using identity 1:

$\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x$

Using identities 2 and 3:

$\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x$

As, LHS = RHS

Hence proved

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2 years ago