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konstantin123 [22]
3 years ago
10

Given the system of equation 7x-3y = 48 .......Eq 1 2x+ y = 35 ........Eq 2 __________ To solve this system by elimination and m

ultiplication , i can ...............................
Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer:

x = 11.75

y = 11.5

Step-by-step explanation:

By Elimination Method:

   7x - 3y = 48    ---- (1)

-

<u>    2x + y = 35   ----</u>-   (2)

Multiply equation (1) by 2 and equation (2) by 7

   14x - 6y = 96

-

<u>    14x + 7y = 245      </u>

<u>      0   -13y = -149</u>

-13y = -149

y = -149/-13

y = 11.5

From equation (2); replace y with 12

2x + y = 35

2x + 11.5 = 35

2x = 35 - 11.5

2x = 23.5

x = 11.75

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What is the inverse of the function g(x)=x^3/8+16
shtirl [24]

Answer:

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

Step-by-step explanation:

Inverse of a function:

Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.

In this question:

y = \frac{x^3}{8} + 16

Exchanging x and y:

x = \frac{y^3}{8} + 16

\frac{y^3}{8} = x - 16

y^3 = \frac{x-16}{8}

y = \sqrt[3]{\frac{x-16}{8}}

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

7 0
3 years ago
What is the approximate area of a circle enclosed by a piece of rope 50.24 inches long? (Use the fact that π ≈ 3.14 to make your
Nikitich [7]

Answer:

the approximate area of this circle is 200.96 inches long.

Step-by-step explanation:

To answer this problem we need to remember that the area of a circle is given by the formula:

Area = πr^2 where r is the radius.

and the perimeter is:

Perimeter = 2πr

Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.

Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.

Perimeter = 2πr

50.24=2(3.14)r

50.24= 6.28r

50.24/6.28= r

8= r

Thus, the radius of the circle is 8 inches long.

Now, we can use this value to find the area of the circle:

Area = πr^2

Area = π8^2

Area = 3.14 (64)

Area = 200.96

Therefore, the approximate area of this circle is 200.96 inches long.

3 0
3 years ago
What is the volume of this cone?
Andrej [43]

Answer:

Option A 41.9\ ft^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

In this problem we have

r=4/2=2\ ft, h=10\ ft

substitute the values

V=\frac{1}{3}\pi (2)^{2}(10)

V=41.9\ ft^{3}

6 0
3 years ago
Read 2 more answers
10. Use the data to determine the missing values in the five-number summary.
exis [7]

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

7 0
3 years ago
Choose all that rearrange the formula correctly.If
Sonbull [250]

Answer:

I sure hope none is an answer because none of these work!

Step-by-step explanation:

C = 59 (F - 32)

(C/59) = F - 32

F = C/59 + 32

So no :(

m = x + y + z3

y = m - x - z3

So no :((

s = r^2 - 1

r = sqrt(s+1)

So no :000

A = 12(a+b)

A = 12a + 12b

12b = A - 12a

b = A/12 - a

So no :00(((

m = x + y^2

y = sqrt (m-x)

AND no :|

5 0
3 years ago
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