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3 years ago

Write the equation of the line in slope intercept form. the coefficients in the equation are b=4, and m=-5.

Mathematics

2 answers:

Taya2010 [7]3 years ago

8 0

inter from y=mx+b all terms together y=-5x+4

valkas [14]3 years ago

5 0

Answer:

y=-5x+4

Step-by-step explanation:

Slope intercept form is y=mx+b so you just plug m and b in :)

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According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Genrish500 [490]

Answer:

$\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}$

Step-by-step explanation:

The given polynomial function is

$f(x)=5x^3-7x+11$

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

$\pm\frac{11}{1}=\pm11$

$\pm\frac{1}{1}=\pm1$

$\pm\frac{11}{5}$

$\pm\frac{1}{5}$

4 0

4 years ago

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0

3 years ago

What is the value of the function at x = 3?<br><br> Enter your answer in the box.

butalik [34]

Answer:

Step-by-step explanation:

Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?

To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.

Here it is 4.

3 0

3 years ago

(Fill in the blank)<br> Solve the following equation.

swat32

Answer:

there is no ecuashon

Step-by-step explanation:

h0cududfiififuduc

3 0

3 years ago

Read 2 more answers

Peaches are on sale at the farmer's market for $1.75

belka [17]

Answer:

5 Pounds of peaches

Step-by-step explanation:

Okay so your first step will be to divide 8.75 by 1.75.

That gives you 5, so she bought 5 pounds

6 0

3 years ago