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WARRIOR [948]
4 years ago
8

Can anyone help? Give the answer in four significant figures.

Mathematics
1 answer:
Llana [10]4 years ago
5 0
X + 0.5y = 3
x^2 - y = 15

from the first equation:-
0.5y = 3 - x
y = 6 - 2x

Substitute for y in second equation:-
x^2 - (6 - 2x) = 15
x^2 + 2x - 21 = 0
x  =  [-2 +/- sqrt((4 - 4*-21)] / 2
    = 3.6904 ,  -5.6904

Plugging in these into  first equation we get

3.6904 + 0.5y = 3  so y = 2(3-3.6904) =  -1.3808
-5.6904 + 0.5y = 3 so y = 2(3 + 5.6904) =  17.3808

Solution is  x = 3.690, y = -1.381  ;   x = -5.690, y = 17.38 ( to 4 s.f's)

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What is another way to name 1/4
Eva8 [605]
Another name for 1/4 is a quarter

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8 0
3 years ago
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Question 1 of 10<br> (x)=x2. What is g(x)?<br> y<br> f(x)<br> g(x)<br> -5<br> 6<br> (3, 3)<br> 5
never [62]

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that relates a dependent variable and an independent variable.

It is given that

f(x) = x²

It has been asked to determine the equation of g(x)

It can be seen from the graph the the vertex is same just the graph is scaled.

The point (3,3) is of g(x) , when the value of y at at x =3 is 9

Therefore the scale factor is 1/3

And we can do trial and error on the basis of the options given ,

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

To know more about Function

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6 0
2 years ago
Gt6tys56ytujr7dsy6rtuhgjfyhjfvchfgjvcxfdcgfhvn jhmc dghvbdcjghb
Kazeer [188]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Help me please solve the circled question show your work
Rasek [7]

<u>Part 1)</u> Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches

therefore

<u>the answer Part 1a) is</u>

84\ inches

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches    

therefore

<u>the answer Part 1b) is</u>

36\ inches

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5    

therefore

<u>the answer Part 2) is</u>

\$10.5

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

 we know that

<u>Find the cost of the bananas</u>

5\ pounds*0.80\frac{\$}{pounds}=\$4

<u>Find the cost of the apples</u>

5\ pounds*1.40\frac{\$}{pounds}=\$7

Sum the cost of the bananas and the cost of the apples

\$4+\$7=\$11

\$11 > \$10------> Janice's mother didn't give her enough money

She needs more money

She needs-------> \$11-\$10=\$1

therefore

<u>the answer part 3) is</u>

She needs  \$1 more


3 0
3 years ago
A right rectangular prism has a length of five centimeters a width of eight centimeters and a height of 4 cm what is the volume
lukranit [14]

Answer:

V=160cm^3

Step-by-step explanation:

V=lhw

V=5•4•8

V=20•8

V=160cm^3

^-^ your welcome

3 0
4 years ago
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