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3 years ago

16 is divided by the sum of a number q and 1. The result is 4. What is the number?

1 answer:

6 0

16/(q+1)=4
16/(q+1)=4 > Mult. both sides by (q+1)
16=4q+4 > Subtract 4 from both sides.
12=4q > Div. both sides by 4
q=3

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Karen has 4h storyboiks. Karen's storybook collection is 2/3 of what Mary's collection is. How many storybooks do they have in a

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Read 2 more answers

Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

2 years ago

Please help!!! I don’t get any of this can someone please explain what to do and how I can get my answer????

diamong [38]

Its just a matter of subbing ur numbers into the formula given
1. d = rt
when r = 144 and t = 18
now we sub
d = 144 * 18
d = 2592 <==
2. d = rt
when r = 56 and t = 3.5
sub
d = 56 * 3.5
d = 196 <==

3. A = L * W
when L = 2 ft and W = 15 inches....this one u have to convert to inches...2 ft = 24 inches...so L = 24 and W = 15
A = 24 * 15
A = 360 in^2 <==

4. A = L * W
L = 3m and W = 32 cm...have to convert to cm.....1 m = 100 cm...so 3 m = 300 cm
A = 300 * 32
A = 9600 cm^2 <==

u basically do the same for all the others....its just a matter of subbing and solving

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2 years ago