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Naddika [18.5K]

3 years ago

8

A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?

1 answer:

emmasim [6.3K]3 years ago

6 0

355÷(1-29%)
=$500
the regular price is $500

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Identify Slope and Y intercept for the equation X=4 M=B=

krek1111 [17]

Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.

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3 years ago

Ivan made this table to show the number of calories in different numbers of servings of crackers.

nydimaria [60]

Answer:

8

Step-by-step explanation:

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3 years ago

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 $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

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3 years ago

Thirty percent of the fifth grade students in a large school district read below grade level. The distribution of sample proport

fredd [130]

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Given : $\mu=0.30$

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Using standard normal z-value table,

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$P(z$ [Rounded yo the nearest 4 decimal places.]

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3 years ago

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nlexa [21]

Answer:

Step-by-step $12c^{3} -40c^{8}$ explanation:

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3 years ago