All categories

2 years ago

Find the equation of the linear function represented by the table below in slope intercept form.

Mathematics

1 answer:

grigory [225]2 years ago

5 0

Answer:

y = -3x - 2

Step-by-step explanation:

slope (m) = (-8 - -5) / (2 - 1) ... difference of y/difference of x

m = -3

y = mx + b

y = -3x + b

for (3,-11) b = y + 3x = -11 + 3x3 = -2

equation: y = -3x - 2

You might be interested in

If zach runs 6 miles, 5 days a week. How many miles does he run in 2 weeks,

Genrish500 [490]

Answer:

60 miles

Step-by-step explanation:

In 1 week Zach will run

6* 5 = 30 miles

Multiply this by 2 for 2 weeks

30*2 = 60 miles

4 0

3 years ago

If A is nonsingular, then (AT )-1 =(A-1) T . (a) Verify this theorem for 2 × 2 matrices

kipiarov [429]

Answer:

Verified

Step-by-step explanation:

Let the 2x2 matrix A be in the form of:

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Where det(A) = ad - bc # 0 so A is nonsingular:

Then the transposed version of A is

$A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Then the inverted version of transposed A is

$(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

The inverted version of A is:

$A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]$

The transposed version of inverted A is:

$(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

We can see that

$(A^T)^{-1} = (A^{-1})^T$

So this theorem is true for 2 x 2 matrices

3 0

3 years ago

Find the value of 8^1/3<br> find the value of 8^2/3<br> find the value of 16^3/4

SashulF [63]

the answer to your question is A.

7 0

2 years ago

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?

erma4kov [3.2K]

Your function is: $f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1$

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

8 0

2 years ago

Read 2 more answers

Help with this question, please!

jonny [76]

Answer:

The last choice is the one you want.

Step-by-step explanation:

Simply take the x coordinate and subtract 4, then do the same with the y coordinate since the vector movement is <-4, -4>. The first coordinate F is <4,0>. Subtract 4 from both of those coordinates and end up at <0, -4>. The second coordinate G is <1, 3>. Subtract 4 from both of those and end up at <-3, -1>. The third coordinate H is <2, 6>. Subtract 4 from both of those and end up at <-2, 2>. The last coordinate I is <4, 2>. Subtract 4 from both of those and end up at <0, -2>.

6 0

3 years ago