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3 years ago

Find the second term of the arithmetic series described by a1=0.25, an=4, and sn=8.5 answer: a2=

Mathematics

1 answer:

Elis [28]3 years ago

8 0

Answer:

Step-by-step explanation:

an=4=a1+(n-1)*d=0.25+(n-1)*d

so (n-1)*d=4-0.25=3.75

Sn=a1*n+(n-1)*d

a1*n+3.75=8.5

0.25*n+3.75=8.5

-3.75 -3.75

0.25*n=8.5-3.75=4.75

n=4.75:0.25

n=19

so a19=a1+(19-1)*d=4

0.25+18*d=4

-0.25 -0.25

18*d=3.75

d=3.75/18

d=0.208

so a2=a1+0.208=0.25+0.208=0.458

a2=0.458

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Molodets [167]

Answer:

y=-3x+6

Step-by-step explanation:

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3 years ago

Find the slope of the line below. Enter your answer as a fraction of

Levart [38]

Answer:

$\boxed{\sf{\dfrac{3}{10}}}$

Step-by-step explanation:

Use the slope formula.

<h3 /><h3>What is a slope?</h3>

Slope is a surface with one end higher than the other and with no steps. It proceeds at an angle. The path sloped down to the beach.

So, the property possessed by a line or surface that departs from the horizontal.

<u>Slope formula:</u>

$\longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }$

(-6,-2) (4,1)

y₂=1
y₁=(-2)
x₂=4

x₁=(-6)

<u>Rewrite the problem down.</u>

$\sf{\dfrac{1-\left(-2\right)}{4-\left(-6\right)}}$

<u>Solve.</u>

1-(-2)=1+2

1+2=3

4-(-6)=4+6

4+6=10

$\boxed{\sf{\frac{3}{10} }}$

Therefore, the slope is 3/10, which is our answer.

To learn more about slope:

brainly.com/question/24241142

brainly.com/question/66944

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4 0

1 year ago

f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer

Eva8 [605]

Answer:

$x=-8$ if $f(x)=-1$

Step-by-step explanation:

Given --> $f(x)=-\frac{3}{4}x-7$

Substitute $f(x)=-1$ into the equation and solve for $x$ :

$-1=-\frac{3}{4}x-7$

$6=-\frac{3}{4}x$

$24=-3x$

$-8=x$

So, when $f(x)=-1,x=-8$

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2 years ago

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vlada-n [284]

Answer:

1.) 3/4

2.) 1/3

3.) 3/7

4. 2/5

Step-by-step explanation:

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3 years ago

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?

Serhud [2]

Answer:

The equation of the line would be y = -2x + 10

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = -2(x - 1)

y - 8 = -2x + 2

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3 0

3 years ago