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3 years ago

Why equation is represented by the equation on the graph

Mathematics

2 answers:

Anni [7]3 years ago

6 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have given a line.

We have to find the equation of line.

y = mx+c is the equation of line where m denotes slope and c is y-intercept of line.

y-intercept is a point on graph where value of x is zero.

From graph,we observed that

y-intercept is 2.

c = 2

Now, select any point that is passes through the line.

(x,y) = (2,0)

Putting values in equation of line, we have

0 = m(2)+2

2m = -2

m = -1

Hence, slope is -1,

y = (-1)x+(2)

y = -x+2 is equation of line given on the graph.

Nina [5.8K]3 years ago

4 0

Answer: Option D

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2

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List all the elements of the sample space for the following experiment: You spin a spinner with four equal sections labeled 1, 2

telo118 [61]

Answer:

Option B.

Step-by-step explanation:

When we spin a spinner the sample space for a spinner having four equal sections labeled 1, 2, 3, 4 will be {1, 2, 3, 4} and for tossing the dime is {H, T}.

Now if we toss a dime and spinning the spin is done simultaneously then sample space will have the elements {(1, H), (2, H), (3, H), (4, H), (1, T), (2, T), (3,T), (4, T)}

Therefore Option B. is the correct option.

4 0

3 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

Please select the best answer thanks

Tasya [4]

I need a correct answer of Edith each sentence for pronoun usage.
1. The instructor made clear to everyone what they had to do to pass the class.
2. Marcie signed up for advanced classes without consulting her advisor, which was a big mistake.
3. The computer did not allow access to students which tried to register before registration opened.
4. Many people shy away from the old because they think of it as being senile and withered.
5. It did not get above freezing today, so it is still too dangerous to drive on the back roads.
6. We always wait until the day before Christmas to buy a tree because they are discounted by then.
7. To end the strike, the union approved the agreement and told their members to go back to work.
8. Everybody agreed to do the maintenance ourselves rather than pay someone to do it.
9. Physical activity is good for you, but people lack the discipline to exercise as much as they should.
10. Mr. Roberts told his son that he didn't know to dance.

4 0

3 years ago

Jermaine has just painted a large mural. It is 8 1/2 feet wide. The wall he wants to place it on is 11 3/4 feet wide. About how

PolarNik [594]

First turn 1/2 to 2/4 so you have a common denominator.
Next turn the mixed numbers into improper fractions:
11 3/4 --> 47/4 and 8 2/4 --> 34/4
Subtract:
47/4 - 34/4 = 13/4
Divide:
13/4 = 3.25
3.25/2 --> 1.625 or 1 5/8
Therefore, he will have to place it 1 5/8 feet from each side

Hope this helps!

6 0

3 years ago

When you divide me by 5,remainder is 4.

ICE Princess25 [194]

Clue one tells you it ends in a 4 or 9.
Clue two tells you it has to be 9.
Clue three tells you x + 9 = 10
The number is 19

6 0

3 years ago