Slope from graph Khan academy

Find 3 solutions that satisfy the equation -5x=10+2y

Dominik [7]

Answer:

(2, -10)

(4, -15)

(6, -20)

Step-by-step explanation:

First you should simplify the equation.

-5x=10+2y

-5x-10=2y

-2.5x-5=y

Then put in any number in for x. since we have a decimal I'll make the numbers I put in even the keep the solution whole numbers.

Putting in 2 gives you -10 so (2, -10) is a solution.

Putting in 4 gives you -15 so (4, -15) is a solution.

Putting in 6 gives you -20 so (6, -20) is a solution.

3 0

2 years ago

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.

Jobisdone [24]

Answer:

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

Step-by-step explanation:

We have the function, $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

It is clear that the parent function is $g(x)=\cos x$ .

So, we see that,

The amplitude of the function f(x) is $\frac{1}{4}$ , which gives, $\cos x => \frac{1}{4}\cos x$ .

Also, g(x) is translated $\frac{\pi}{3}$ units to the left, which gives, $\frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3})$ .

Further, the function is translated 1 unit downward, resulting in $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

So, the correct options are,

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

6 0

3 years ago

Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account an

Brrunno [24]

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

6 0

2 years ago

Sylvie bought 13 bagels and a container of cream cheese.Each bagel cost the same price.The cream cheese cost $2.95.Sylvie spent

Taya2010 [7]

Ok, first set this up as an equation with your given variables. You know that Sylvie bought 1 container of cream cheese, which is $2.95, and you know that Sylvie spent $7.50 (my best assumption is this is the subtotal) on the cream cheese and 13 bagels. As an equation, it would come out as:

$7.50=2.95+13(b)$

To start solving the algebraic equation, wou can subtract 2.95 on both sides, resulting as

$4.55=13 (b)$

Now, to get "b" by itself, you must divide 13 on both sides, resulting as

$.35=b$

This will answer your question as the cost of 1 bagel would be $0.35 per bagel.

5 0

3 years ago

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The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of t

hichkok12 [17]

Answer:

True

Step-by-step explanation:

The area of a regular polygon is found by multiplying 1/2 times the apothem times the perimeter. The area for a single triangle is 1/2 times the height (which is the same as the apothem of a regular polygon) times the base (which is one of the sides of the regular polygon which you are multiplying by to find the perimeter of the polygon).

7 0

3 years ago

Read 2 more answers