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3 years ago

10

Find the slope of line

2 answers:

alexgriva [62]3 years ago

6 0

Answer:

2/4

Step-by-step explanation:

rise/run

go up (rise) 2, run 4

2/4

Volgvan3 years ago

3 0

Answer:

y=2/4x-3

Step-by-step explanation:

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scoray [572]

Ah, thank you. your question truly made the most of sense.

3 0

3 years ago

Michelle has to find the decimal equivalent of 15 yards. How can she do

kipiarov [429]

Answer:

15.0 yards

Step-by-step explanation:

8 0

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 $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

3 years ago

Solve by completing the square:X^2+6x-12=0

Ira Lisetskai [31]

X² + 6x -12 = 0
x = <u>-(6) +/- √((6)² - 4(1)(-12))</u>
   2(1)
x = <u>-6 +/- √(36 + 48)</u>
   2
x = <u>-6 +/- √(84)
</u> 2<u>
</u>x = <u>-6 +/- 2√(21)
</u>    2<u>
</u>x = -3 <u>+</u> √(21)
x = -3 + √(21) x = -3 - √(21)

5 0

3 years ago

PLS HELP ME IMMA CRY ONGG GGHGHJH

WITCHER [35]

Answer:

127

Step-by-step explanation:

We started at 7

We keep going up 3

multiply

$3\cdot40=120$ Now add $120+7=127$ at the 40th term

8 0

3 years ago

Read 2 more answers