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2 years ago

HELP FAST DUE IN TEN MINUTES!!

Mathematics

1 answer:

goldenfox [79]2 years ago

5 0

Answer:

Someone is spending 80 cents daily from their bank account, starting out with $5.6

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What is the gradient of the graph shown?

sladkih [1.3K]

Answer:

gradient = $\frac{1}{3}$

Step-by-step explanation:

calculate the gradient m using the gradient formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = $\frac{2-0}{0-(-6)}$ = $\frac{2}{0+6}$ = $\frac{2}{6}$ = $\frac{1}{3}$

3 0

2 years ago

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

What is the slope of the line ?

N76 [4]

Answer:

Slope would be -1/3

Step-by-step explanation:

5 0

3 years ago

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Inga [223]

Answer:

the answer is the second one:

ordered pair (2,-2) ; y-intercept -4

Step-by-step explanation:

hoped that helped

3 0

2 years ago

Dina is getting a new rug for her hallway. The rug is 5/6 meter wide and 9 meters long. What is the area of the rug?

harkovskaia [24]

Answer:

7 1/2 square meters

Step-by-step explanation:

The area of a rectangle is the product of its length and width.

A = LW

A = (9 m)(5/6 m) = 45/6 m² = 7 1/2 m²

The area of Dina's new rug is 7 1/2 square meters.

7 0

3 years ago