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Veseljchak [2.6K]

2 years ago

10

Please help to solve the problem

1 answer:

Wittaler [7]2 years ago

5 0

17 friends for the first one

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Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all y

Ainat [17]

9514 1404 393

Answer:

-160

Step-by-step explanation:

-15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.

8 0

2 years ago

Please help me with this

Stella [2.4K]

c is a correct answer you know

5 0

2 years ago

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

What are all equivalent to 10+2x+5y+3x

Ilia_Sergeevich [38]

10+5x+5y is the simplified version

8 0

2 years ago

Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequ

mart [117]

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

3 0

1 year ago