Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Write the equation of a line that includes the point (22, 12) and

STatiana [176]

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

7 0

4 years ago

Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?

Veseljchak [2.6K]

She is correct
Slope:3
Y-intercept:0,4

3 0

3 years ago

A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the exi

erik [133]

Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

= 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

= 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.

6 0

3 years ago

Onsider the arithmetic series: 1 + 9 + 17 + 25 + ... write a formula for the sum of the first n terms in this series.

Burka [1]

We can see this is a summation of multiples of 8 plus 1, which starts at 1.

This can be written in the following way:
$\Sigma_{m=0}^{n}(8m+1)$

Lets verify the summation expression by doing the sequence for the first 4 elements (hence $n=3$ , as it starts from 0):
$\Sigma_{m=0}^{3}(8m+1)=[8(0)+1]+[8(1)+1]+[8(2)+1]+[8(3)+1]=$
$1+9+17+25$

As you can see, the generalization is correct.

4 0

3 years ago

‼️PLEASE HELP ME‼️<br><br> The solution of the linear inequality 3x + 10 < 6x + 9<br> is [ __,__)

jek_recluse [69]

Answer:

x= 1/3 its a fraction but i couldnt put the answer in fraction form.

Step-by-step explanation:

5 0

3 years ago