Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
The equation of parabola is
. If a is positive and
is always greater than zero or equal to zero, then x is also greater or equal to zero. This means that parabola is determined for non-negative x and for all real y.
Tha canonical equation of parabola is
, where p>0. The branches of this parabola go up in positive y-direction. When you change x to y and y to x, then the branches of parabola go in positive x-direction, that is right.
Answer: correct choice is A.
Answer:
B
Step-by-step explanation:
it is known that 8 tomato plants were planted in total
( 2 rows with 4 plants each equal to 8 plants in total)
however there is X amount of rows of squash with 7 plants in each row
therefore in an equation it would be y= 7x+8
Answer:
Depends on which function is which...
Step-by-step explanation:
The blue graph is the same as the yellow graph but raised up 1 unit. That means either:
blue function rule = yellow function rule + 1
or
yellow function rule = blue function rule - 1
Your picture doesn't say which function is <em>f</em> and which is <em>g</em>.
If, just to pick a possibility, the blue function is <em>g</em>(<em>x</em>), then
g(x) = f(x) + 1
If the blue function is <em>f</em>(<em>x</em>), then
g(x) = f(x) - 1