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4 years ago

What is the simplest form of this expression? 4(-n-3) + 7

Mathematics

2 answers:

Rina8888 [55]4 years ago

6 0

-4n-5 is your answer

Serga [27]4 years ago

5 0

Answer:

− 4 n − 5

Step-by-step explanation:

Simplify the expression.

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Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0

2 years ago

Olivia takes a trip to visit her aunt who lives 120 mi. away. Olivia's car can travel 24 miles per gallon of gasoline. If gasoli

Paladinen [302]

Answer:

$15

Step-by-step explanation:

Given that :

Aunt's distance = 120 miles

Miles per gallon of Olivia's car = 24 miles per gallon

Cost of gasoline = 3 per gallon

Cost of gasoline for the trip :

(Aunt's distance / miles per gallon) * cost of gasoline per gallon

(120 miles / 24 miles per gallon) * 3

5 * 3 = $15

Cost of gasoline for the trip = $15

8 0

3 years ago

A woodworking artist makes two types of carvings: type X and type Y. He

ivolga24 [154]

Answer:

part C. 3x + 2y < 30, 5x + 7y < 105

Step-by-step explanation:

Part 1:

spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.

spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.

Part 2:

he can spend up to 30 hours each week making carvings. (<30)-because he cannot spend more than 30 hours

Therefore, He has to spend 30 hours or less to make type X and type Y.

3x + 2y < 30

Part 3:

His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.

His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.

Part 4:

he must keep his weekly cost for materials to $105 or less (<105)-total cost cannot be more than $105.

Therefore, the total cost of making x and y should be $105 or less.

5x + 7y < 105

6 0

3 years ago

the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

3 years ago

Read 2 more answers

NEED HELP

Studentka2010 [4]

First use distributive property on both sides of the equation.
-9(-16 - f) = 4(1 - 3f)
144 + 9f = 4 - 12f
Then isolate f on one side of the equation:
3f = -140
f = 46.67 --> (which is equal to -140/3)
I'm sorry I couldn't help more. I don't know why it's wrong. Maybe try putting in it decial form instead.

6 0

3 years ago