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inysia [295]
3 years ago
5

Type the equation that shows the pattern among this set of ordered pairs.

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
m=-4
So equation of this line is: y=-4x+4 

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Find the product.<br><br> (3x2+6x-5)(-3x)<br><br> PLEASE HELP!!! ASAP!!!
nekit [7.7K]

Answer:

\boxed{-9x^3-18x^2 + 15x}

Step-by-step explanation:

(3x²+6x-5)(-3x)

Apply distributive law.

-3x(3x²)-3x(6x)-3x(-5)

Simplify.

-9x³ - 18x² + 15x

8 0
3 years ago
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Stephen lives in Texas and makes $48,000 a year. If the median annual income in Texas is $51,205 and the median annual income in
timofeeve [1]

Stephen is likely to qualify since his annual income is less than the median income of Texas.


8 0
3 years ago
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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
Calculate the area of a circle with a diameter of 6cm
7nadin3 [17]
Area of circle = πd²/4,    where d = diameter
 
                      = π*6*6/4 = 9π ≈ 9 *3.1416 ≈ 28.2744 cm²

Area ≈ 28.27 cm²

Hope this explains it.

4 0
3 years ago
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Find the common factors of the algebraic expression:- 7a²b, 14abc
I am Lyosha [343]

factor of 7a²b, 14abc

7a²b, 14abc= 7ab

6 0
2 years ago
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