What is 1.3 repeating as a mixed number?

On a number line, suppose point E has a coordinate of 4, and EG = 11. What are the possible coordinates of point G?

navik [9.2K]

Answer:

-7, 15

Step-by-step explanation:

The positive difference between E and G is 11.

<h3>Solution</h3>

G - E = 11

G = 11 + E = 11 + 4

G = 15 . . . . . . . . . . . . . when G is right of E

__

E - G = 11

E - 11 = G = 4 - 11

G = -7 . . . . . . . . . . . . when G is left of E

Possible coordinates for G are -7 and 15.

4 0

2 years ago

For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7

kirill [66]

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Explanation:</h2>

An exponential function is given by the following form:

$y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base$

Here we know two points:

$(0,6) \ and \ (3,750)$

$\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}$

Finally, our exponential function is:

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Learn more:</h2>

Behavior of functions: brainly.com/question/12891789

#LearnWithBrainly

5 0

3 years ago

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line de

vodomira [7]

Answer:

x = $25.8^{o}$ and y = $51.4^{o}$

Step-by-step explanation:

Known that he sum of angles on a straight line is $180^{o}$ . From the diagram;

2y + x + y = $180^{o}$

x + 3y = $180^{o}$ ................ 1

Also,

2x + x + 2y = $180^{o}$

3x + 2y = $180^{o}$ .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = $180^{o}$ ............. 4

7y = 360

y = $\frac{360}{7}$

y = $51.4^{o}$

substitute the value of y in equation 1,

x + 3y = $180^{o}$

x + 3(51.4) = $180^{o}$

x + 154.2 = $180^{o}$

x = $180^{o}$ - 154.2

x = $25.8^{o}$

Thus, x = $25.8^{o}$ and y = $51.4^{o}$

6 0

3 years ago

There 400 members at the school band. Of those, 220 were girls. Expressed as a percentage, how many more girls than boys were th

GuDViN [60]

220/400 = 55%
100%- 55% = 45%
there were 45% more girls than there were boys.

3 0

3 years ago

A town has a population of 12,000 and grows at 3.5% every year what will be the population after seven years

valkas [14]

Answer:

15,267

Step-by-step explanation:

The population is multiplied by 1+3.5% = 1.035 each year. After 7 years, it will be multiplied by 1.035^7:

12,000×1.035^7 = 15,267

The population will be 15,267 after 7 years.

6 0

3 years ago