Please help me out!

Solve for x: 4x - 8 = 7x - 2 Anyone know the answer for this one? Thanks!

erastovalidia [21]

Answer:

$\huge{ \fbox{ \tt{x = - 2}}}$

Step-by-step explanation:

$\underline{ \underline{ \mathfrak{Let's \: solve}}} :$

$\star{ \sf{ \: \: 4x - 8 = 7x - 2}}$

$\text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x - 8 = - 2}}$

$\text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x = - 2 + 8}}$

$\text{Step \: 3} : \sf{Collect \: like \: terms}$

$\sf{Like \: terms \: are \: those \: which \: have \: same \: base}$

$\mapsto{ \sf{ - 3x = - 2 + 8}}$

$\text{Step \: 4} : \sf{Calculate}$

$\underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\mapsto{ \sf{ - 3x = 6}}$

$\text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}$

$\mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}}$

$\text{ Step \: 4} : \sf{Calculate}$

$\mapsto{ \sf{x = - 2}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

3 0

3 years ago

David, a high school senior was wondering if the cost of attending college is worth the

expeople1 [14]

Answer:

D.

Step-by-step explanation:

Explanation for part 1.

To find the mean, find total then divide by number of data set

For college salaries

Sum=41+67+53+48+45+60+59+55+52+52+50+59+44+49+52=786

Number of samples=15

Mean= 786/15 =52.4 * $1000=$52400

For High school salaries

Sum=23+33+36+29+25+43+42+38+27+25+33+41+29+33+35=492

Number of samples =15

Mean= 492/15 = 32.8 *$1000= $32800

College grads make more money according to the means.

Explanation for part 2.

Treat the data as part of coordinates and graph then on the same scale and axis to visualize the trend and make comparison.In this case, the graph for the line of best fit is linear as attached.

3 0

3 years ago

1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

3 years ago

Please help me 30 points Show you work

GenaCL600 [577]

Answer:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r:

(k-n)/(j-m)

(c) Write and expression for the slope of line s:

(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

The coordinates of P'' are:

P''=(m,n+ϴ-3)

Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

Slope of line r is:

mr=(yq-yp)/(xq-xp)

Replacing the coordinates, the expression for the slope of line r is:

mr=(k-n)/(j-m)

(c) Write and expression for the slope of line s.

Line s goes through the points:

P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

Q'=(j,k+ϴ)=(xq',yq')→xq'=j, yq'=k+ϴ

Slope of line s is:

ms=(yq'-yp')/(xq'-xp')

Replacing the coordinates, the expression for the slope of line s is:

ms=[(k+ϴ)-(n+ϴ)]/(j-m)

Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

P''=(xp',yp'-3)

Replacing xp' and yp':

P''=(m,n+ϴ-3)

7 0

3 years ago

Read 2 more answers

For every pound a company spends on advertising, it spends 43 pence

irakobra [83]

Answer:

20:9

Step-by-step explanation:

8 0

2 years ago

Please help me out!​

Please help me out!