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tresset_1 [31]
3 years ago
13

Find the equation of the line in slope intercept form that has a slope of -2 and passes through the point (6,3). Demonstrate tha

t your answer is correct (y=-2x+15)
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

y=-2x+15

Step-by-step explanation:

First, write out the equation in slope-intercept form, with what you already have:

y=-2x+b

Let "b" represent the y-intercept.

To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":

3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b

Therefore, your y-intercept is 15.

That means your equation is slope-intercept form <em>is</em> y=-2x+15.

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You get paid $7.25 per hour for doing yard work. You earned $79.75 last week. Which equation shows how to calculate the number o
Masteriza [31]

7.25x = 79.75
7 0
3 years ago
Read 2 more answers
Which is the inverse of the function f(x) = x - 9?АО1f-1(x) =x + 9B.f-'(x) = x + 9CO $-+(x) = 9 - *D.F-'-) =-X-9
kirill [66]

To solve for the inverse of the function given;

f(x)=x-9

We begin by re-writing the function as follows;

y=x-9

To now find the inverse, we interchange y for x, and vice versa, as shown below;

\begin{gathered} y=x-9 \\ \text{Now becomes;} \\ x=y-9 \end{gathered}

We now find the value of y;

\begin{gathered} x=y-9 \\ \text{Add 9 to both sides;} \\ x+9=y-9+9 \\ x+9=y \\ y=x+9 \\ \text{Therefore;} \\ f^{-1}(x)=x+9 \end{gathered}

ANSWER:

The correct answer is option B;

f^{-1}(x)=x+9

8 0
1 year ago
How do you write a composition about my pet​
galina1969 [7]

Answer:

like this for example

Step-by-step explanation:

my pet is a dog named Tipsy. Tipsy is an adorable brown dog that has a few black spots spread across his body and tail. Tipsy is a kelpie crossed with a border collie, and he has fluffy velvety ears. Even though Tipsy has a very strong body frame, he has a very gentle face and is always a friendly dog to those whom he knows. If a stranger approaches out house, however, Tipsy can get very aggressive. He always barks loudly to attract our attention to the approaching stranger.

Tipsy loves many things. Among these is to nuzzle his wet nose in my hands and in the hands on my parents and siblings. He craves attention most of the time because he is scared of being abandoned or ignored. I actually came across Tipsy while he was still a puppy. It appears his owner had abandoned him on the road. I found him wondering in our neighborhood. I informed my parents about the puppy. I wanted to keep him. They communicated with the local authorities so the authorities could allow us to adopt the pet.

Tipsy loves food, especially bones. Once we have fed him his regular food, we always give him a few bones on which to chew. Tipsy can actually spend whole afternoons chewing bones because he loves them so much. Whenever Tipsy is worried, he looks at us with desperate eyes that appear like he is sad. He does so while wagging his tail from one side to the other. Whenever we see him exhibiting these signs, we immediately prepare him a quick meal and some bones for him to eat.

Tipsy has also made it a habit to play with our cat, Toppy. Sometimes, Tipsy plays with and pours out the cat’s water, something that always leaves the cat giving him a vicious glare. Sometimes, the cat even meows as if to let Tipsy know that he is not very impressed with Tipsy for pouring out his water. Whenever, my dog plays with the cat’s water, I see him lifting his head as some of the cat’s water pours out from his tongue, like the way water drops from a waterfall.

Tipsy also likes the chipping sound made by the birds that reside on the trees in our compound. Whenever Tipsy hears these sounds, he raises his ears and points them towards the direction where the chirping sound is originating. One can always observe the way his eyes light up with excitement whenever the birds begin making their soothing noises.

My Pet descriptive essay writing tips:

Since this is a description essay, one is supposed to describe the unique characteristics of one’s favorite pet which in this case is a dog. Since most dogs have a name, it is prudent that one begins this description by providing the name of the dog followed by the species to which the dog belongs. Once this is done, one can begin describing the things that the dog likes and those that it does not appreciate. For instance in this essay, the writer has described the way the dog loves food and what it does whenever it needs to eat some food.

6 0
3 years ago
Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
allsm [11]

Answer:

Answer:

Kaya's answer is correct.

Step-by-step explanation:

The number of dots in successive figures are

8, 16, 24.

So Kaya's solution 8n is correct.

When n = 1, first square = 8*1 = 8 dots

n = 2: second square = 8*2 = 16

n = 3, 3rd square = 8*3 = 24.

If I have interpreted Kianna's formula correctly

for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2

= 0.

7 0
4 years ago
22 less than the quotient of an unknown number and 35 is -25.
Agata [3.3K]
-22+(x/35)=-25
add 22 to both sides
x/35=-3
multiply both sides by 35 to cleaf raction
x=-105

number was -105
6 0
4 years ago
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