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4 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

1 answer:

6 0

Hello,

$u_{1} =-5\\
 u_{2} =-5+d\\
 u_{3} =-5+2d\\
 u_{4} =-5+3d\\
...\\
 u_{10} =-5+9d=13\\
==\ \textgreater \ 9d=18 \\
==\ \textgreater \ d=2

$

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Drew wrote a four digit number less than 2000. The sum of its digit is 20. Only the digits in the ones place and hundreds place

jeka94

He wrote the number 1892, because:

The number needs to be less than 2000, with four digits. Because the first is half the last, it means that the number must be 1??2.

These two numbers add up to 3, and all together, they need to add to 20. 20-3=17. The remaining numbers need to add to 17.

The only two single digit numbers that can add to 17, are 8 and 9. Therefore, the number must either be 1892 or 1982.

The second digit needs to be even, meaning that the number has to be 1892.

I hope this helps.

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4 years ago

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The graph of the quadratic function y=-x^2-2x+3 is shown below

Karolina [17]

Answer:

The axis of symmetry is at $x=-1$

The graph has an x-intercept at $(1,0)$

The graph has a vertex at $(-1,4)$

Step-by-step explanation:

we have

$y=-x^{2}-2x+3$

Statements

case 1) The graph has root at $3$ and $1$

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at $-3$ and $1$

case 2) The axis of symmetry is at $x=-1$

The statement is True

Observing the graph, the vertex is the point $(-1,4)$

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

the equation of the axis of symmetry is $x=-1$

case 3) The graph has an x-intercept at $(1,0)$

The statement is True

see procedure case 1)

case 4) The graph has an y-intercept at $(-3,0)$

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point $(0,3)$

case 5) The graph has a relative minimum at $(-1,4)$

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point $(-1,4)$ represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at $(-1,4)$

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

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3 years ago

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Question 6 of 10

mamaluj [8]

Answer:

Step-by-step explanation:

I didn't learn jrf, but I believe that it is the amount of females that watch action movies divided by the total amount of females.

Amount of females who watch action movies= 99

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So, A seems correct.

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3 years ago

Perry currently has $180 dollars and is spending $6 per day nick has no money but is earning $8 each day after how many days wil

Delvig [45]

Answer:

After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends

where;

Initial amount that Perry has=$180

Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t

Replacing in the expression;

Total amount Perry will have after t days=(180-6t)

Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

where;

Initial amount that Nick has=$0

Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t

Replacing in the expression;

Total amount Nick will have after t days=(0-8t)=8t

Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

180-6t=8t

180=(8t+6t)

14t=180

t=(180/14)=12.86 days

After 12.86 days Nick and Perry will have the same amount of money

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4 years ago

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IrinaK [193]

Answer: 14x56=784

Step-by-step explanation:

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3 years ago