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Mrac [35]
3 years ago
12

Write a linear function f with the values f (0) =4 and f(3)=-8

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

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−k+2(−2k−5)<br> Simplify <br> Will give brainliest
Elan Coil [88]

Answer:-k+-4k-10; which is -5k-10

Step-by-step explanation:

first distribute.

then add.

done.

8 0
3 years ago
Through: (1,-5), perpendicular to y=18x+26
stiks02 [169]

Answer:

Step-by-step explanation:

If you're asking for the equation of a line that goes through (1,-5) and is perpendicular to y=18x+26 here's what you do.

1. find the slope of the new line by taking the negative reciprocal of the slope of the first line (-\frac{1}{18})

2. plug in the point (1,-5) and the new slope into the point slope form equation

y_{2} -y_{1}=m(x_{2}-x_{1})

3.Now that you have y-(-5)= -1/18(x-1) simplify

3.a y-(-5)= -1/18x + 1/18

3.b y=-1/18x - 89/18

4. final equation you get is y = -1/18 - 89/18

8 0
3 years ago
Solve this system of equation using substitution y=2x-4 x+2y=10
Vladimir79 [104]
Y=2x-4
X+2y=10

Put y into the x equation
X+2(2x-4) =10

Expand and simplify
X+4x-8=10
5x-8 =10
5x=10+8
5x=18
X=18/5

Insert x into the original equation to get y
Y=2x-4
Y=2(18/5)-4
Y=16/5
4 0
3 years ago
OK can someone help me on this one...?
aksik [14]

2. multiplication property of equality

3. subtraction property of equality

4. addition property of equality

5. division property of equality

8 0
3 years ago
The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo
Keith_Richards [23]
This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.

8 0
3 years ago
Read 2 more answers
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