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7 months ago

I already graphed the first question, need number 2 please

Mathematics

1 answer:

Soloha48 [4]7 months ago

6 0

For the equation y = 2x + 3, calculate the x and y intercepts

when y = 0

0 = 2x + 3

x = -3/2

x = -1.5

The x-intercept = (-1.5, 0)

when x = 0

y = 2(0) + 3

y = 3

The y-intercept = (0, 3)

Locate the points (-1.5, 0) and (0, 3) to graph the equation y = 2x + 3

For the equation y = -1/3 x + 2, calculate the x and y intercepts

when y = 0

$\begin{gathered} 0=-\frac{1}{3}x+2 \\ \frac{1}{3}x=2 \\ x=6 \end{gathered}$

The x-intercept = (6, 0)

when x = 0

y = -1/3 (0) + 2

y = 2

The y-intercept = (0, 2)

The graphs of the two equations are plotted using their x and y intercepts as shown below

y = 2x + 3 is plotted in red

y = -1/3 x + 2 is plotted in blue

The solution to the system of equations represented by the two lines is (-0.429, 2.143)

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What are the units for the variable in the following scenario?

krek1111 [17]

Answer:

Her grocery bill was $4.62.

Step-by-step explanation:

There is some mistake in question so the correct question is:

Sherry bought 6 apples at 43¢ per apple. She then bought 4 oranges at 51¢ per orange. How much was her grocery bill?

Now, to find the grocery bill.

As the units are given:

43¢ per apple and

51¢ per orange.

$1 = 100¢.

So, the cost of 6 apples = $0.43\times 6=2.58$

Thus, the cost of 6 apples = $2.58

And the cost of 4 oranges = $0.51\times 4=2.04$

Thus the cost of 4 oranges = $2.04

Now, to get the total grocery bill we add the cost of apples and oranges:

$\$2.58+\$2.04$

$=\$4.62$

Therefore, her grocery bill was $4.62.

7 0

2 years ago

Austin deposits S800 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in th

blondinia [14]

Answer:

$192.00

Step-by-step explanation:

6 0

2 years ago

Quick I need to finish this and I still have more questions after

OLEGan [10]

Answer:

$1\frac{1}{2}$ or 1.5

Step-by-step explanation:

Now we know it's a dilation. So we can use any two points. I chose V and V'.

V: (3,6)

V': (2,4)

So how we get from 6 to 4?

$4(x)=6\\x=\frac{6}{4} \\x=1.5$

You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.

Therefore, the dilation factor is 1.5.

3 0

1 year ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each point

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

2 years ago

Combining like term 6k+7k

Nadya [2.5K]

13k is the answer :)

8 0

2 years ago