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Dominik [7]
2 years ago
15

Please Help ASAP!!!!!!!!!!!!

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0

Answer:

1. 5b-3

2. 6-b

3. 7-5b

4. 6+4b

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Jane made a poster that had a length: 1 2/3 of feet and a width: 5/6 of feet. What is the perimeter of her poster?
slamgirl [31]

Answer:

P   = 6 2/3 ft

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2(L + W).

Here the perimeter is P = 2(1 2/3 + 5/6) = 2(5/2 + 5/6)

                                                                  = 2(15/6 + 5/6) = 2(20/6)

                                                                  = 40/6 = 20/3

                                                              P   = 6 2/3 ft

5 0
3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
10
beks73 [17]
The person above me is right. It’s A , you have to add
7 0
3 years ago
If c – 8 is an odd integer, which of the following could be the value of c?
finlep [7]

Answer:

Since you didn't give me any choices I can tell you that c is ANY ODD NUMBER THAT EXISTS.

Step-by-step explanation:

im smart ツ

7 0
3 years ago
HAPPY B DAY TOO meeeeeee
stich3 [128]

Answer:

happy birthday may god bless you

3 0
2 years ago
Read 2 more answers
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