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3 years ago

Write an equation that will model the proportional relationships shown in the graph below graph.

Mathematics

1 answer:

wolverine [178]3 years ago

7 0

Answer:

y = 5x

Step-by-step explanation:

you can use the Slope-Intercept form of a line, which is:

y = mx + b where 'm' is the slope, and 'b' is the y-intercept

to find the slope, select any two points:

we can use (0,0) and (2,10)

now subtract the y-values and the x-values to get this fraction:

slope = 10-0 / 2-0

slope = 10/2 or 5/1

the y-intercept can be seen and is 0

therefore, equation of this line is:

y = 5x + 0 or

y = 5x

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I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

$32*-2=-64\\-64*-2=128\\128*-2=-256$

This means that the answer is B

3) The sequence is being multiplied by $\frac{1}{3}$ each time. This means that it is geometric.

The next 3 terms would be:

$3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}$

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

$f(x)=1.5(x-1)+15$

Now we can find the first 4 terms

$f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5$

This would mean that the answer is B

5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

$f(x)=4.5(10)^{x-1}$

Now we can find the first 4 terms

$f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500$

Unless you meant that the ratio was $\frac{1}{10}$ , the answer is D, none of the above

7 0

3 years ago

Suppose that a cyclist began a 374 mi ride across a state at the western edge of the state, at the same time that a car traveli

kherson [118]

This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0

4 years ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$