All categories

2 years ago

Subtract (5x + 3) from (9x – 7).

Mathematics

2 answers:

IceJOKER [234]2 years ago

6 0

Answer:

4x - 11

Step-by-step explanation:

Set the expression.

9x - 7

- (5x + 3)

-------------

First, distribute -1 to all terms within the parenthesis:

-(5x + 3) = -5x - 3

Simplify. Combine like terms.

(9x - 7) + (-5x - 3) = 9x - 5x + (-7) - 3

(9x - 5x) + (-7 - 3)

4x - 11

4x - 11 is your answer.

Dafna1 [17]2 years ago

5 0

Answer:

$\large\boxed{4x-10}$

Step-by-step explanation:

$(9x-7)-(5x+3)\\\\=9x-7-5x-3\qquad\text{combine like terms}\\\\=(9x-5x)+(-7-3)\\\\=4x-10$

You might be interested in

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

$q = -6p + 104$

7 0

2 years ago

Joseph drove to Carly’s house for dinner. He was away from his house for 2 hours. He spent 50minutes at Carly’s house. Driving t

Klio2033 [76]

70 miles

Hope this helps

-Millie

7 0

2 years ago

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

2 years ago

Read 2 more answers

Team members Eric and Natalia secure a grant of $75.00 to buy beams on channels.if the team needs 3 beams at 6 channels,will the

Vlad [161]

Answer:0.e4r

Step-by-step explanation

6 0

2 years ago

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t

belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

<u>Step-by-step explanation:</u>

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is :

⇒ $3x+4y=64$ .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is :

⇒ $x+8y=68$ .......(2)

3(2)-(1) i.e.

⇒ $3(x+8y)-(3x+4y)=68(3)-64$

⇒ $20y=140$

⇒ $y=7$

So , $x+8y=68$

⇒ $x+8(7)=68$

⇒ $x=12$

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

7 0

2 years ago