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Lana71 [14]
3 years ago
6

Need Help with #5 4 pts

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0
Answer = 10=21


When you’re multiplying numbers with exponents with the same base (10 is the base) all you have to do is add the exponents

18 and 3 are the exponents we’re dealing with, so we add them and get 21. The base stays the same

10^18 x 10^3 = 10^21

Answer = 10=21
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The table shows a linear function. <br>which equation represents the function?
Bas_tet [7]

Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

m = \frac{y_2-y_1}{x_2-x_1}

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

Simplify:

y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


8 0
3 years ago
Solve for j.<br> J + 22/8 =8
Monica [59]

Answer:

j=5.25

Step-by-step explanation:

j+22/8=8

j=8/1-22/8

j=64-22/8

j=5.25

Proof:

5.25+22/8=8

525/100+22/8=8

4200+2200/800=8

6400/800=8

8=8

7 0
3 years ago
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Mamont248 [21]

Answer:

(3) y=(x+3)

Step-by-step explanation:

I'm not sure what is the parent function, but in most graphs if you will shift it to the left or right (negative sign or positive sign, respectively), it will be inside a parenthesis and the opposite sign is the real movement.

For a cubic function these will be the movements:

f(x)=(x+/-h)^3+/-k

Only the opposite sign of h will be the real movement, while k's sign will automatically indicate the correct movement.

h= x-axis movement (horizontal, inside of the parenthesis in the equation)

k= y-axis movement (vertical, outside of the parenthesis in the equation)

Hope it helps

4 0
3 years ago
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ratelena [41]

Answer:

A

Step-by-step explanation:

There are 12 face cards in a deck out of 52, so 12/52 would be the probability

hope this helps :)

7 0
3 years ago
What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?
Kitty [74]
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2. 
7 0
3 years ago
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