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marissa [1.9K]
3 years ago
13

The slope of the line (2,2) and (6,10) ​

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

2

Step-by-step explanation:

It rose 8 and ran 4 and slope is rise over run.

8/4 = 2

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Question is in the picture.
Elza [17]

Answer:

It should be d=2.25t

Step-by-step explanation:

The question only contains 2.25 not 2 or 4 and also you would multiply it

3 0
3 years ago
Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29
hram777 [196]

Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

   p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

So

\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

Now, we need to find the zeroes of the second factor, meaning finding x so that:

x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Consider the following equation x= r-h/y.Solve the equation for h
Flura [38]

x= r - h/y   subtract r from both sides

x-r = -h/y    multiply each side by -y

-y(x-r) = h

-xy +yr = h

6 0
3 years ago
Read 2 more answers
Solve the inequality.<br><br> 2(4 + 2x) ≥ 5x + 5?<br><br> x ≤ ?
NikAS [45]
2(4+2x)≥5x+5
4+2x≥5/2x+5/2 (divide both sides by 2)
3/2+2x≥5/2x (subtract 5/2 from both sides)
3/2≥1/2x (subtract 2x from both sides)
3≥x (multiply both sides by 2)
or x≤3

Hope this helps
5 0
3 years ago
Read 2 more answers
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 14 bushels
Levart [38]

Answer:

140-(14×7)=42

Step-by-step explanation:

if he sells 14 each day for 7 days. thats 14-7=98 and to find how many he has left, you have to subtract 98 from 140

7 0
3 years ago
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