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lara [203]
3 years ago
6

The solution for a system of two linear equations is (0, 0). Which equation below could be one of the equations in the system? A

. B. Y = –3x C. Y = 4x – 5 D. Y = 5 – x
Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

y = -3x

Step-by-step explanation:

For the equation to be a part of a system, the point (0,0) must be a part of the line. Since y = -3x is proportional meaning b = 0, its y-intercept is (0,0). This means it must cross through and include (0,0). This is a part of the system.

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Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest t
mezya [45]

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

     \frac{area}{width}=length

     \frac{105}{7}= 15

      Length=15

2: Pythagorean theorem

      a^{2} +b^2=c^2

       7^{2}+15^2=c^2

       49+225=c^2

        275=c^2

         \sqrt{275} = \sqrt{c^2\\}

          16.55≈c

           Rounded to nearest tenth

              16.6

6 0
3 years ago
How much is three more than the square of 8?
kari74 [83]
3² equals nine, so the square root of eight has to be less than three.
The square root of eight is 2.82 rounded to the nearest hundredth. So 3 is approximately 0.18 more than the square of eight.

Hope this helps

~DragonGirl :)

7 0
3 years ago
Read 2 more answers
PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW work !! Jeans are on sale for 40% off the jeans Justin wants to buy them m
Harman [31]
Okay, if the jeans were originally $80, take 40% off of that (40% of 80 is 32) so you’d get 48. Now take 48 and multiply by 1.07 (to get 107% of the $48, to find a percentage you can move the decimal place left 2 digits and multiply), so Justin would pay $51.36 in total.
8 0
3 years ago
Divide 30 cm into ther ratio 2:4
pantera1 [17]
In the ratio 2:4

=10:24
6 0
3 years ago
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