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Anastaziya [24]
3 years ago
6

Which of the following graphs best represents the solution to the following systems of equations?

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0
Let's solve for x.
3
x
+
5
y
=
10
Step 1: Add -5y to both sides.
3
x
+
5
y
+
−
5
y
=
10
+
−
5
y
3
x
=
−
5
y
+
10
Step 2: Divide both sides by 3.
3
x
3
=
−
5
y
+
10
3
x
=
−
5
3
y
+
10
3
Answer:
x
=
−
5
3
y
+
10
3
You might be interested in
Factor out the greatest common factor. 6x^5-15x^2+12x=?
jok3333 [9.3K]

Answer:

Factor GCF: 3x(2x⁴ - 5x + 4)

Step-by-step explanation:

Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.

5 0
3 years ago
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2
Yuliya22 [10]

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.

Answer: The correct option is B) about 34%

Proof:

We have to find P(4.2

To find P(4.2, we need to use z score formula:

When x = 4.2, we have:

z = \frac{x-\mu}{\sigma}

          =\frac{4.2-5.1}{0.9}=\frac{-0.9}{0.9}=-1

When x = 5.1, we have:

z = \frac{x-\mu}{\sigma}

          =\frac{5.1-5.1}{0.9}=0

Therefore, we have to find P(-1

Using the standard normal table, we have:

P(-1= P(z

                               =0.50-0.1587

                               =0.3413 or 34.13%

                               = 34% approximately

Therefore, the percent of data between 4.2 and 5.1 is about 34%

7 0
3 years ago
HELP PLEASE
scoundrel [369]
Isolating the x^2 is the simplest way. it would only be three steps.
8 0
3 years ago
Read 2 more answers
See question in screenshot below.
alexgriva [62]

The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3

<h3>What is an exponential equation?</h3>

An exponential equation is an equation that has exponents that consists of variables.

The given equation is <em>y</em> = 2ˣ

The equation for the transformation is; <em>y</em> = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives  the following simultaneous equations;

When <em>x</em> = 0, <em>y</em> = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When <em>x</em> = 1, <em>y</em> = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

Learn more about the solutions to simultaneous equations here:

brainly.com/question/26310043

#SPJ1

3 0
1 year ago
You sell lemonade around town and you can make $0.30 from each bottle of lemonade. The total amount of money you earn is 0.3b, w
noname [10]

Answer:

$9

Step-by-step explanation:

Cost per bottle of Lemonade = $0.30

Let b represent the number of bottles that you sell which is given as:

30 bottles

Equation for solving

= 0.30 × b

= 0.30b

Hence,

Total cost for 30 bottles of Lemonade is:

0.30 × 30

= $9

Hence, you can make $9 from selling 39 bottles of Lemonade.

6 0
2 years ago
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