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3 years ago

What is the 8th term in the arithmetic sequence defined by the explicit formula An = 2n + 7

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

Put 8 in the formula and do the arithmetic.

A8 = 2·8 +7 = 16 +7

A8 = 23

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Solve the equation 4(2x – 1) + 8 = 4x + 24. Factor out the greatest common factor, then solve.

DedPeter [7]

Answer:

Step-by-step explanation:

divide everything by 4

=(2x-1) +2 = x + 6

regroup

=2x = x + 5

x = 5

4 0

3 years ago

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Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 an

Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation $y=-x^2+4x-8$ .

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation $x=\frac{-b}{2a}$

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

$x=\frac{-4}{-2} \\\\x=2$

Now we can plug the x value where the maximum occurs to find the max value of the equation

$y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4$

This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

6 0

3 years ago

Dave has a job mowing lawns around his neighborhood. Each month he spends $35 on gas and mowes 6 lawns (charging $12 per lawn mo

PtichkaEL [24]

Answer:

$37

Step-by-step explanation:

12 * 6 -35 = $37

5 0

3 years ago

A rectangle prism has dimensions of 1/2, 2 and 7/2 inches. How many cubes with side edges of 1 inch will fit into the prism?

uysha [10]

Dimensions of the rectangular prism: a=1/2 inches, b=2 inches, c=7/2 inchesVolumen of the rectangular prism: Vr=abcVr=(1/2 inches)(2 inches)(7/2 inches)Vr=[ (1*2*7) / (2*2) ] inches^3Vr=14/4 inches^3Vr=7/2 inches^3
Side of the cube: s=1 incheVolume of the cube: Vc=s^3Vc=(1 inche)^3Vc=1 inche^3

Number of cubes will fit into the rectangular prism: nn=Vr/Vcn=(7/2 inches^3) / (1 inche^3)n=7/2n=3.5
3.5 cubes with side lengths of 1 inche will fit into the prism
Read more on Brainly.com - brainly.com/question/9194776#readmore

5 0

3 years ago

Read 2 more answers

I need help cause uh i’m dumb

ozzi

Answer:

$650

Step-by-step explanation:

9100-4500 = 4550

14-7 7

= 650

=$650

8 0

3 years ago