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Basile [38]
3 years ago
15

See attachment to help.

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0
Hello,

The line passing by (0,6) and (2,0) has for equation 3x+y-6=0.
The origine (0,0) is in the region 3*0+0-6=-6 : negative.
So 3x+y-6>0  is the  region positive.
If the line is taken : 3x+y-6≥0.

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Find a degree 3 polynomial P such that P(−1) = −3, P(0) =−2, P(1) = −1, and P(2) = 6.
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

let polynomial P(x)=ax³+bx²+cx+d

-3=-a+b-c+d

-2=d

-1=a+b+c+d

-1=a+b+c-2

a+b+c=1

-3=-a+b-c-2

a-b+c=1

a+b+c-(a-b+c)=1-1=0

2b=0

b=0

so a+c=1

6=8a+4b+2c+d

6=8a+4b+2c-2

8a+4b+2c=8

4a+2b+c=4

or 4a+0+c=4

4a+c=4

a+c=1

subtract

3a=3

a=1

1+c=1

c=0

reqd .P(x)=1x³-2=x³-2

6 0
4 years ago
Write a mathematical sentence that expresses the information given below . Use t as your variable name.Necessary type <= to m
miskamm [114]

Answer:

t + 8° > 82°

Step-by-step explanation:

Given that :

Let t = temperature when Susanne checks at 11:00

If t rises by 8 more degrees, it will break the record high temperature for that day

Record high temperature for the day = 82 degree

Hence,

Temperature at 11:00 + 8° > record high temperature for the day

t + 8° > 82°

6 0
3 years ago
Solve the system of equations using subtraction.<br> 4x - 2y = 10<br> 4x + y = 19
Alex777 [14]

Answer:

y=3 x=4

Step-by-step explanation:

4x - 2y = 10

<u>4x + y = 19</u>

    -3y=-9

the 4x canceled out.

y=3

plug in y into one of the equations

4x + 3 = 19

4x=16

x=4

Hope this helps!

If not, I am sorry.

3 0
2 years ago
Read 2 more answers
Is this relation a function. please help me​
Juliette [100K]

no this relation is not a function, because for each input (x), there is no output (y)

7 0
4 years ago
The formula that describes an object's motion is given by S=ut+1/2at^2 , where S is the distance traveled, u is the initial velo
RSB [31]
S = ut + (1/2)a(t²)                            Subtract ut from both sides
(1/2)a(t²) = S - ut                            Multiply both sides by 2
a(t²) = 2s - 2ut                                Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)
5 0
3 years ago
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