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2 years ago

What is the y-intercept of the function,represented by the table of values below?

Mathematics

1 answer:

Sliva [168]2 years ago

3 0

Answer: Choice A) 8

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If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4

Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.

Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8

Or you can use a graphical method to find the y intercept

Either way, the answer is 8. This is where the graph crosses the y axis.

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A data set consists of these points: (2, 4), (4,7), (5, 12). malinda found the

WITCHER [35]

The complete question is

"A data set consists of the following data points: (2,4),(4,7), (5, 12)

The line of best fit has the equation y = 2.5x - 1.5. What does this equation predict for a value of x = 7?

O A. 16

O B. 19

O C. 20.5

O D. 175

0 0 0

a. no. both a and b are incorrect.

b. no. the value for b is incorrect.

c. no. the value for a is incorrect.

d. yes. this is the correct equation."

The equation predict for a value of x = 7 in equation y = 2.5x – 1.5 is (x, y) = (3, 16). Option B is correct.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

"A data set consists of the following data points: (2,4),(4,7), (5, 12)

y = 2.5x - 1.5

Puy x = 7

y = 2.5(7) - 1.5

y = 17.5 - 1.5

y = 16

The equation predict for a value of x = 7 in equation y = 2.5x – 1.5 is (x, y) = (3, 16). Option B is correct.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

4 0

1 year ago

Sabra went for a long hike and burned 845 calories in 3 1/4 hours.Nelson decided to go for a bike ride. He burned 1,435 calories

sergey [27]

Answer:

Nelson burned the most calories per hour

Explanation:

To solve this question, we will get the amount calories burned by each in one hour and then compare the two values

To do this, we will divide the total amount of calories burned by the total time

1- For Sabra:

We are given that she burnt 845 calories in $3\frac{1}{25}$ (which is equivalent to 3.25) hours

Therefore:

Calories burnt in an hour = $\frac{845}{3.25}=260$ calories/hour

2- For Nelson:

We are given that he burnt 1435 calories in $4\frac{7}{8}$ (which is equivalent to 4.875) hours

Therefore:

Calories burnt in an hour = $\frac{1435}{4.875}=294.36$ calories/hour

3- Comparing the two values:

From the above calculations, we can deduce that Nelson burned the most calories per hour

Hope this helps :)

3 0

3 years ago

What is the answer????

Vinvika [58]

Measure of angle 1 is 117°
measure of angle 2 is 72°

4 0

3 years ago

I need someone to explain how to solve this please!

Paladinen [302]

(x+3)/2x+5 + (3x-5)/(3x+5)

LCM = ( 2x+5)( 3x+5)

[( x+3)( 3x+5) + ( 3x -5)( 2x+5)]/( 2x+5)( 3x+5)

= (3x^2 + 5x +9 x +15 + 6x^2 + 15x -10x -25)/( 2x+5)( 3x+5)

=( 9 x^2 + 19x -10)/( 2x +5)(3x+5)

A) option

4 0

2 years ago

identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)

MariettaO [177]

Answer:

y +5 = (-2/3)(x -4)

Step-by-step explanation:

The point-slope form of an equation of a line with slope m through point (h, k) is ...

... y -k = m(x -h)

You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...

... y -(-5) = (-2/3)(x -4)

... y +5 = (-2/3)(x -4)

7 0

2 years ago