Solve each equation. Check your solution. 9= 4a + 13 Oa. -16 Ob. -1 c. 1 Od 5

how is solving inequalities with addition and subtraction similar to and different from solving equations with addition and subt

SpyIntel [72]

That technique for solving equations is: Whatever you do to one side of the equation, you have to do to the other side to preserve the equality The technique for solving inequalities is: Whatever you do to one side of the inequality, you have to do to the other side to preserve the inequality. the techniques are the same. The difference between solving equations and solving inequalities is: If you multiply or divide an inequality by a negative number, then the inequality reverses. !!!!!

6 0

2 years ago

The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your W

alexdok [17]

Answer:

Slope of PQ

m

r

=

y

Q

−

y

P

x

Q

−

x

P

=

1

−

5

−

1

−

(

−

2

)

=

−

4

Slope of QR

m

p

=

y

R

−

y

Q

x

R

−

x

Q

=

3

−

1

7

−

(

−

1

)

=

1

4

Slope of RP

m

q

=

y

R

−

y

P

x

R

−

x

P

=

3

−

5

7

−

5

=

−

1

Since slopes PQ & PR,

m

r

=

−

1

m

p

, it's a right triangle

4 0

2 years ago

Please show working out, thanks!

sveticcg [70]

3^2x = 2^3y = x/y = x/y

4 0

2 years ago

A taxicab service charges a flat fee of $7 plus an additional $1.25 per mile driven. Show the relationship between the total cos

Zarrin [17]

Answer with Step-by-step explanation:

We are given that

Flat fee of taxicab=$7

Cost of one mile=$1.25

1.We have to show that relationship between total cost and the number of miles driven.

2.We have to find independent variable and dependent variable

3.We have to write an equation to model the relationship and make a table to show the cost of 4 to 10 miles.

1.Let x be the number of miles driven by taxicab and total cost y of taxicab.

According to question

$y=1.25x+7$

This is a relation between number of miles drive and total cost.

2. Independent variable : It is that variable which does not depend on value of another variable .

Dependent variable : it is that variable which depend on value of another variable.

We can see that y depend on x and value of x does not depend on any value.

Therefore, y is dependent variable and x is independent variable.

Substitute x=4 then we get

$y=1.25(4)+7=$ $12

Substitute x=5 then get

$y=1.25(5)+7=$ $13.25

$y=1.25(6)+7=$ \$14.5

$y=1.25(7)+7=$ $15.75

$y=1.25(8)+7=$ $17

$y=1.25(9)+7=$ $18.25

$y=1.25(10)+7=$ $19.5

5 0

2 years ago

An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to

Luda [366]

We have the equation:

$C(t)=65+60t$

Given the slope-intercept formula for the equation of the line, we have the following:

$\begin{gathered} y=mx+b \\ m\colon\text{ slope} \\ If\text{ C=65+60t} \\ \Rightarrow slope\text{ = 60} \end{gathered}$

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

8 0

11 months ago