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Artyom0805 [142]
1 year ago
13

Call line that passes through the point x, y with a y intercept of b and a slope of m can be represented by the equation y=mx +

b. a line is drawn on the coordinate plane that passes through the .3, -6 and has a slope of four the y-intercept of the line is
Mathematics
1 answer:
Sergio039 [100]1 year ago
3 0

Answer: (0, -7.2)

Step-by-step explanation:

Substituting into point-slope form, the equation is

y+6=4(x-0.3)

The y-intercept is when x=0, so substituting in x=0,

y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2

So, the y-intercept is (0, -7.2).

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Find the sum of the geometric sequence. three divided by two, three divided by eight, three divided by thirty two, three divided
Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0
3 years ago
what is the equation of the following line? Be sure to scroll down first to see all answer options. ( -1/2, -3) ( 0, 0)
dlinn [17]
I got y = 1/5x fo this one.............
5 0
3 years ago
Read 2 more answers
A restaurant records the number of tables served each night, and the results have the values: minimum = 3, lower
natulia [17]

Answer: A. The first one

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Just #35 please piecewise functions
saveliy_v [14]

Answer: No, the friend is correct. In any function, each input value can only lead to one output value. When you input 3 for the x-values, you would get two output values because 3 is included in both equations. To fix this, you need to have the 3 not included in one of the equations.

For example, you could say y=\left \{ {{2x-2, x\leq 3} \atop {-3, x > 3}} \right. or y=\left \{ {{2x-2, x < 3} \atop {-3, x\geq 3}} \right. because the input value of 3 would not be included twice.

If you look at the attached screenshot, you will see that if you keep your friend's function, inputting 3 will result in two outputs of 4 and -3, so therefore, y=\left \{ {{2x-2,x\leq 3} \atop {-3,x\geq 3}} \right. cannot represent a piecewise function.

3 0
1 year ago
A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the
ExtremeBDS [4]

Given:

Volume of Large cube = 1 cubic unit

Volume of small cube = \dfrac{1}{27} cubic unit

To find:

The difference between the edge length of the large cube and the edge length of the small cube.

Solution:

Let the edges of large and small cubes are a_1 and a_2 respectively.

We know that, volume of a cube is

V=(edge)^3

Volume of Large cube = 1 cubic unit

(a_1)^3=1

Taking cube root on both sides, we get

a_1=1

So, edge of large cube is 1 unit.

Volume of small cube = \dfrac{1}{27} cubic unit

(a_2)^3=\dfrac{1}{27}

Taking cube root on both sides, we get

a_2=\dfrac{1}{3}

So, edge of large cube is \dfrac{1}{3} unit.

Now, difference between them is

d=a_1-a-2

d=1-\dfrac{1}{3}

d=\dfrac{3-1}{3}

d=\dfrac{2}{3}

Therefore, the difference between the edge length of the large cube and the edge length of the small cube is \dfrac{2}{3} unit.

6 0
3 years ago
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