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jeka94
3 years ago
13

What is the first term in the sequence for which d = -2 and a7 = 3?

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

First term is 15

Step-by-step explanation:

Given data:

a_{7} =3\\d=-2

Now,

a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15

Therefore first term a =15

Correct option is (c)

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3 years ago
A and b are positive integers and a - b = 2. Evaluate the following:<br> 3b/3а
AlexFokin [52]

Answer and Step-by-step explanation:

a - b = 2

\frac{3b}{3a} = \frac{b}{a}

b = a - 2

a = b + 2

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a = a - 2 + 2

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If a equals 0, then the expression is undefined.

If b = 0, then the expression is 0.

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5 0
3 years ago
Use the distributive property to write the following expressions in expanded form. e ( f + g )
NemiM [27]

Answer:

ef + eg

Step-by-step explanation:

Distributive Property: a(b +c) = (a*b) + (a*c)

e(f +g) = e*f + e*g

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4 0
3 years ago
Graph the line that passes through the points (6,-4) and (3,-6) and determine
antoniya [11.8K]

Answer:

y = \frac23x - 8

Step-by-step explanation:

Hello!

First, let's plot the points and draw a straight line through them (image).

Remember that a coordinate is given in the format of (x,y).

<h3 /><h3>Parts of a Line</h3>

Equation format: y = mx + b

  • m = slope
  • b = y-intercept

The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is \frac23.

  • y = \frac23x + b

The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.

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The equation is y = \frac23x - 8.

5 0
1 year ago
Can somebody please help with this? ​
Digiron [165]

Answer:

x=8°

y= 96°

z= 96°

Step-by-step explanation:

Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.

Solve for z:

48+36+z=180°

84+z+180°

z=96°

Now that you have z you can solve for x by using only the bottom half of the circle.

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96+36+6x=180

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x=8°

Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.

y=96°

6 0
4 years ago
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