MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 1/4(8-6x+12)?A) 7/2x
B)-13/2
C)-6x+14
D)-3/2x+5

An airplane's altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?


WORK PLEASE

Answers

Answer 1
Answer: so which is equivilent
pemdas

(8-6x+12)
(20-6x)
multiply/distribute
1/4(20-6x)
5-6/4x=5-3/2x=-3/2x+5

the answer is D



so mean is equivilent to average

per minute means x feet for every one minute=xfeet/1miin=x/1

so just divide
-378/7=-54

mean change in altitude
-54 feet per minute
Answer 2
Answer: First Question:

(1)/(4)(8-6x+12) =
(8)/(4)-(6x)/(4)+(12)/(4) =
2-(3)/(2)x+3 =
\boxed{(D) -(3)/(2)x+5}

Second Question:

The average (mean) rate of change is just (-378)/(7) =\boxed{-54 ft/min}

Hope this helps :D

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Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

f(x)= -99.4x + 198.8

f(1) = -99.4*1 + 198.8 = 99.4

f(2) = -99.4*2 + 198.8 = 0

f(3) = -99.4*3 + 198.8 = -99.4

f(4) = -99.4*4 + 198.8 = -198.8

Answer:

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

The answer will be : f(n + 1) = f(n) – 99.4, n ≥ 1

What is 2a-3 when a=6

Answers

When a=6,

2a - 3 = 2(6) - 3 = 12 - 3 = 9
2a-3 \ when \ a=6 \n \n 2*6-3 \n =12-3 \n \boxed{=9}

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12.

Answers

(x + 3) • (x + 2) • (x - 1) • (x - 2)

Help me please I’m struggling 20 points

Answers

31.5

7 x 4 = 28 + 3.5 = 31.5
The answer is D. 4x7=28, half of 7 is 3.5, 28+3.5=31.5

XWhich polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?a. f(x) = (x + 7) (x – i) (x + 5) (x + i)
b. f(x) = (x – 7) (x – i) (x – 5) (x + i)
c. f(x) = (x – (7 – i)) (x – (5 + i)) (x – (7 + i)) (x – (5 – i))
d. f(x) = (x + (7 – i)) (x + (5 + i)) (x + (7 + i)) (x + (5 – i))

Answers

Hello,

If ALL coefficients of x are reals!, (question is wrong)
if z_(0)\ is\ a\ root\ \overline{z_(0)}\ is\ also\ a\ root

Thus ANSWER C f(x) = (x – (7 – i)) (x – (5 + i)) (x – (7 + i)) (x – (5 – i))

Final answer:

The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is f(x) = (x + 7) (x – i) (x + 5) (x + i).

Explanation:

The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is option a. f(x) = (x + 7) (x – i) (x + 5) (x + i). To understand why this is the correct answer, we first need to know that complex roots always appear in conjugate pairs, which means that if a + bi is a root, then a - bi is also a root. The given roots are (7 + i) and (5 – i), so the conjugate pairs are (7 – i) and (5 + i).

Therefore, the correct polynomial is obtained by multiplying the factors (x – (7 + i)), (x – (7 – i)), (x – (5 + i)), and (x – (5 – i)). This gives us f(x) = (x + 7) (x – i) (x + 5) (x + i), which is option a.

Learn more about Polynomial Functions here:

brainly.com/question/30474881

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Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° - cos 57° sin 13°
Select one:
a. cos 70°
b. cos 44°
c. sin 44°
d. sin 70°

Answers

Answer:  The correct option is (c) sin 44°.

Step-by-step explanation:  We are given to write the following expression as the sine, cosine or tangent of an angle :

T=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ.

We will be using the following trigonometric formula :

\sin (A+B)=\sin A\cos B-\cos A\sin B.

Therefore, we get

T\n\n=\sin 57^\circ\cos13^\circ-\cos57^\circ\sin13^\circ\n\n=\sin(57^\circ-13^\circ)\n\n=\sin 44^\circ.

Thus, the required expression can be written in sine of an angle of measure 44°.

Option (c) is CORRECT.
Use this formula: sin (x-y) = sinx cosy - cosx siny

sin57 cos13 - cos57 sin13 = sin (57 -13) = sin (44)
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