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lisabon 2012 [21]
4 years ago
14

Can someone help me with this

Mathematics
2 answers:
nadya68 [22]4 years ago
6 0
C is correct turst me
Paladinen [302]4 years ago
3 0
C is the answer you are looking for.
You might be interested in
Solve with interval notation Solve: 5 | x − 2 | + 4 > 8
Gnesinka [82]

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

5 0
3 years ago
Darcy and Leah are looking at some fabric selections in a store. All of the selections are marked the same price, and the amount
alex41 [277]

We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.

Option A: \frac{43}{5}  = 8.6

Option B: \frac{33}{4} = 8.25

Option C: \frac{78}{9} = 8.6667

Option D: \frac{22}{3} = 7.33....

Hence, the longest fabric is the one given in option C, and its length is 8.6667

5 0
3 years ago
Read 2 more answers
let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a
Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}

or in matrix form,

\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0

and this is what we wanted to prove. QED

3 0
3 years ago
What is 1.5 m - 5 cm ?
Alenkasestr [34]

Answer:

1.45 m

Step-by-step explanation:

Convert 1.5 metre into cm

1.5 metre =150 center meters

150 cm -5=145

145 into metres is 1.45 m

7 0
3 years ago
3x+5y = 15 find the slope of a line perpendicular to each given line
gladu [14]

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

5 0
2 years ago
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