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Ad libitum [116K]
2 years ago
9

What is the equation of the line.

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Answer:

y = 1/2x - 1

slope = 1/2

y-intercept is

(0,-1)

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What's y+24 over 4 equals to 8<br>​
trapecia [35]

Answer:

y = 8

Step-by-step explanation:

8 + 24 = 32

32/4 = 8

6 0
4 years ago
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Maggs invests $10,250 at a rate of 9%, compounded weekly. To the nearest whole dollar, find the value of the investment after 7
Setler79 [48]
Number of weeks in a year: 52
Weeks in 7 years: 52 x 7 = 364 

Final amount = Initial amount x (1 + interest)^(time period)

Final amount = 10,250 x (1.09)³⁶⁴
Final amount = $4.3 x 10¹⁷
6 0
4 years ago
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Gregory brought 11 pumpkins to school for pumpkin-carving contest. Each pumpkin
Zigmanuir [339]

Answer:

Step-by-step explanation:

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5 0
3 years ago
The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
3 years ago
Translate each of the following into an expression or equation:
Harrizon [31]

Answer:

You have to translate these sentences into expressions.  I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it.  Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6

Step-by-step explanation:

Why?  We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3.  In this case we would input: 3*x, or 3x.  7 more than that number is 3x+7.  Five times a number decreased by six: 5x-6 .  Remember: it is simply 5*x which simplifies to 5x.  Decreased is take away, so take away 6, and get 5x-6

Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)

I hope you understand!! It is very simple after you start to get the hang of it!!

4 0
3 years ago
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