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lisabon 2012 [21]
3 years ago
6

Aaron graphed the equation x= y2 on a coordinate plane, while Jody graphed the equation y = x2. The ordered pair (1, 1) satisfie

s both equations. Which statement about the ordered pair (1, -1) is correct?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

Order pair (1,-1) satisfies x = y² only

Step-by-step explanation:

Given that

Equation graphed by Aaron = x = y²

Equation graphed by Jody = y = x²

Given that the coordinate pair (1,1) satisfies both the equations. lets check it for both equations one by one.

For equation (1)

1 = (1)²

1=1

For equation (2)

1 = (1)²

1=1

Now lets check both equations for ordered pair (1, -1)

For equation (1)

1 = (-1)²

1=1

For equation (2)

-1 = (1)²

-1=1 (False)

So this ordered pair satisfies the equation (1) only.

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1) What can u do to get 2x alone on the left side?
CaHeK987 [17]

Answer:

1)

82.5 - <u>8</u><u>2</u><u>.</u><u>5</u> + 2x = 338.5 - <u>8</u><u>2</u><u>.</u><u>5</u>

<u>2</u>x = <u>2</u><u>5</u><u>6</u>

2)

2x ÷ <u>2</u> = 256 ÷ <u>2</u>

x = <u>1</u><u>2</u><u>8</u>

Step-by-step explanation:

1)

In order to get rid 82.5, you have to substract the same value on both side to get a 0 value.

2)

In order to find the value of x, you have to divide the value that is sticked with x which is 2. As you divide 2 by 2, you will get 1 as a single value of x so you have to divide 2 to both side too.

5 0
3 years ago
A rectangular card has an area of 120 over 1\4 square inches. The card is 6 over 1\2 inches wide. How long is the card???? if u
Anika [276]
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)

7 0
3 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

6 0
3 years ago
What is<br> 15/100<br> as a percentage?
Lunna [17]

Answer:

15%

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
3 years ago
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