Answer:
-4 and -16
Step-by-step explanation:
Let x = first number
Let y = second number
Given:
- The two numbers multiply to 64
⇒ xy = 64
Given:
- The two numbers add to -20
⇒ x + y = -20
Rewrite x + y = -20 to make x the subject:
⇒ x = -20 - y
Substitute into xy = 64 and solve for y:
⇒ (-20 - y)y = 64
⇒ -20y - y² = 64
⇒ y² + 20y + 64 = 0
⇒ (y + 4)(y + 16) = 0
⇒ y = -4, y = -16
As x + y = -20
If y = -4 then x = -16
If y = -16 then x = -4
Therefore, the two numbers are -4 and -16
If she ran 4 miles and walked 5 the ratio is 4:5. To get to x:10, we multiply by 2 because 10 is double 5. That would give us 8 miles that she ran.
If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).
If g(x) is a function defined by text:
<em>Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
</em>Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.
The answer is D. -24 - 49i/13