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EleoNora [17]
3 years ago
12

So right now i'm doing prodigy and I got this question and I can't find out what it is can I have some help the question is The

sum of two numbers is 11 and their difference is 3
Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

x = 7

y = 4

Step-by-step explanation:

The sum of two numbers equaling 11 can be written as

x + y = 3

The difference of the two numbers equaling 3 can be written as

x - y = 3

Where x and y represent the unknown numbers

So now we have a system of equations

\left \{ {{x + y = 11} \atop{x - y = 3}} \right.

We can solve for y in the 1st equation by subtracting x on both sides

x + y = 11

y = 11 - x

We can plug the expression for y into the 2nd equation and solve for x

x - (11 - x) = 3

x - 11 + x = 3

2x - 11 = 3

2x = 14

x = 7

Now we can plug 7 for x into any of the equations and solve for y

1st equation:

7 + y = 11

y = 4

2nd equation:

7 - y = 3

-y = -4

y = 4

So, x = 7 and y = 4

Hope this helped!

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Elmer has a collection of 300 fossils. Of these, 21% are fossilized snail shells.
sergeinik [125]

Answer:

63

Step-by-step explanation:

You need to find 21% of 300.

To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by moving the decimal point of the percent two places to the left.

21% of 300 =

= 21% * 300

= 0.21 * 300

= 63

6 0
4 years ago
For the given functions f and g find f•g and state it’s domain<br> f(x) = 3x - 6; g(x) = 8x +4
o-na [289]

f.g and its domain is 24x²-36x-24; all real numbers.

Given, f(x) = 3x - 6; g(x) = 8x +4.

We need to find the value of f.g

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

The domain of a function; In mathematics, the domain of a function is the set of inputs accepted by the function.

Now, (f.g)(x)=(3x-6)(8x+4)

=24x²-48x+12x-24

=24x²-36x-24

Therefore, f.g and its domain is 24x²-36x-24; all real numbers.

To learn more about the domain of a function visit:

brainly.com/question/13113489.

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6 0
2 years ago
Find the surface area of the hexagonal prism
arsen [322]

Answer:

4,636.8 \:  {in}^{2}

Step-by-step explanation:

Surface area of the hexagonal prism

= Area of base * Height

= 6*Area of one triangle *height

= 6( \frac{1}{2}  \times 8 \times 6.9) \times 28 \\  \\  = 6(4 \times 6.9)28 \\  \\  = 6 \times 27.6 \times 28 \\  \\  = 4,636.8 \:  {in}^{2}

5 0
3 years ago
PLEASE HELP why isnt 3,4 , 5,10 ,3,12 a function
myrzilka [38]
Functions have one output for every input. So that means one x-coordinate for one y-coordinate. In this case, (3,4) and (3,12) have the same x-coordinate, so it can't be a function.
3 0
3 years ago
Please answer!!
HACTEHA [7]

Answer:

See below

Step-by-step explanation:

f(x)=3x^2+6x-24\\\\f(x)=3(x^2+2x-8)\\\\f(x)+3(9)=3(x^2+2x-8+9)\\\\f(x)+27=3(x^2+2x+1)\\\\f(x)=3(x+1)^2-27

Here, we can see that the vertex of the parabola is (-1,-27) when we compare to the equation y=(x-h)^2+k with vertex (h,k).

A second point you could plot is the y-intercept, when x=0:

f(0)=3(0+1)^2-27\\\\f(0)=3-27\\\\f(0)=-24

So, your y-intercept is (0,-24).

8 0
2 years ago
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