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4 years ago

Write a linear function f with given values

Mathematics

1 answer:

Sergio [31]4 years ago

8 0

If f(-2)=1 and f(1) = 7, then 2 pts on the str. line are (-2,1) and (1,7).

7 - 1
The slope of the line connecting these 2 pts is m = ---------- = 6/3 = 2
1-(-2)

Use the slope-intercept formula. Let the point be (1,7) and the slope be 2:

7 = 2(1) + b; find the y-intercept, b:

7 = 2 + b, so b = 5, and the equation of this line through the 2 given points is then

y = 2x + 5 (answer)

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Indicate which property is illustrated in Step 6.

Ket [755]

The property used in step 6 is the additive inverse.

<h3>What are algebra properties?</h3>

Algebra properties are mathematical properties used to simplify algebraic expressions

In step 6, we have the following expression:

$x + 2 - 2$

The additive property of algebra states that:

$a + (-a) = 0$

i.e. when a number or an expression is added to its inverse, the result is 0.

In $x + 2 - 2$ , we have:

2 and -2

2 and -2 are inverses or opposites.

So, when they are added; the result is 0

Hence, the property used in step 6 is the additive inverse.

Read more about algebra properties at:

brainly.com/question/4344214

3 0

3 years ago

Let A U B = {a,b,c,d,e,x,y,z)andA n B = {b, e,y}. . a. If B - A = {x,Z}, then A=_________

Leona [35]

A U B = {a, b, c, d, e, x, y, z}

A ∩ B = {b, e, y}

a. B - A is the complement of A in B; that is, from set B, we remove any elements found in A. Both sets contain b, e, and y, so if B - A = {x, z}, then

B = {b, e, x, y, z}

and so A makes up the rest of the given union,

A = {a, b, c, d, e, y}

b. A and B are non-empty, since their union and intersection are also non-empty. So if A - B = ∅, this means A contains all the elements of B, though B may have more elements than A. In other words, A is a subset of B, which means A U B = B. So

B = {a, b, c, d, e, x, y, z}

c. If B = {b, e, y, z}, then A makes up the rest of their union,

A = {a, b, c, d, e, x, y}

Then

A - B = {a, c, d, x}

3 0

2 years ago

Last Saturday, Kevin walked his dog 1 2/7 miles. Sam walked his dog 7 times as far. How many miles total did both guys walk thei

Annette [7]

Answer:

$10\dfrac{2}{7}\ miles$

Step-by-step explanation:

If Kevin walked his dog 1 2/7 miles and Sam walked his dog 7 times as far, then Sam walked his dog

$1\dfrac{2}{7}\cdot 7=\dfrac{1\cdot 7+2}{7}\cdot 7=\dfrac{9}{7}\cdot \dfrac{7}{1}=9\ miles.$

Together they walked

$1\dfrac{2}{7}+9=10\dfrac{2}{7}\ miles.$

7 0

4 years ago

A classmate simplified a rational expression below

lara31 [8.8K]

<h2>Part a) </h2><h2>Explain the error in this simplification.</h2>

Given the simplified expression

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

$\:1-2x-4=x^2-x-2$

$-2x-3=x^2-x-2\:\:$

$0=x^2-2x-2\:\:$

$0=\left(x-1\right)\left(x-1\right)$

$x=1$

<u><em>Identifying the Main Error</em></u>

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$ ← ERROR Starts here

<u><em>Here is the Explanation of the Error </em></u>

<u><em /></u> $\mathrm{The\:equation\:should\:have\:been\:Multiplied\:by\:LCM=}\left(x-2\right)\left(x+2\right)$ <em>. </em>In your case you wrongly multiply the equation.