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2 years ago

Can anyone help me with this problem?

Mathematics

1 answer:

DanielleElmas [232]2 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The scaling shown in the attachment is about as close as I can get using an on-line graphing program. You may fare better with graph paper. The vertex and x-intercepts are shown. The values at x=-3 and x=2 are y=11.

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

Using distribution.

$5x-2x-6=9$

Combining like terms.

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

Plugging in $x=5$ into $y=-x-3$ .

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

4 0

2 years ago

Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent. How many text messag

professor190 [17]

Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.

Kimora's cell phone bill for one month is $52.

We need to determine the number of text messages Kimora sent for one month.

Also, we need to write and equation and solve it.

The equation:

Let x denote the number of text messages Kimora sent for one month.

Thus, the equation is given by

$35+0.05x=52$

Therefore, the equation for the number of text messages Kimora sent for one month is $35+0.05x=52$

Solving the equation:

We need to solve the equation $35+0.05x=52$

Subtracting both sides of the equation by 35, we get;

$0.05x=17$

Dividing both sides of the equation by 0.05, we get;

$x=340$

Therefore, the number of messages sent is 340.

3 0

3 years ago

a baker used 660 boxes of cake mix to make a wedding cake. if each box called for 3 eggs, how many dozen eggs were used to make

yanalaym [24]

We know there’s 660 boxes and each box called for 3 eggs, therefore:

660=3X

when divide both sides by 3 to isolate the x, which will tell us the amount of eggs used…

660/3 = 220

6 0

2 years ago

A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate. How many cupcakes can the baker decorate

jolli1 [7]

Divide 42 by 30 and that should be your correct answer.

hope this helps.

8 0

3 years ago

Read 2 more answers

Work out the area of a rectangle with base, b=28mm and perimeter, P=74mm.

zhannawk [14.2K]

Answer:

$28 \times 2 =5 6 \\ 74 - 56 = 18 \\ 18 \div 2 = 9 \\ width = 9 \\ area = 9 \times 28 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 252mm ^{2}$