Answer:
A. This is a functional relationship
Step-by-step explanation:
y=8x−5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 8
y-intercept: (0,−5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
x | Y
0 | -5
5/8 | 0
Graph...
On the graph, you can see each x value corresponds with only one y value.
Answer:
the conversion rate to convert miles per hour to minutes per hour is 1 miles per hour = 60 minutes per mile
Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting <em>r</em> things out of <em>n</em> things = 
The number of ways of selecting the first 4 crayons for first child = 
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child = 
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.
H(x) = 4x⁴ - 5x³ + 2x² - x + 5
Take the coefficients, we have:
4 -5 2 -1 5
From the first coefficient to the second coefficient, there's a change of sign from positive to negative (positive four to negative five)
From the second coefficient to the third coefficient, there's a change of sign from negative to positive (negative five to positive two)
From the third coefficient to the fourth coefficient, there's a change of sign from positive to negative (positive two to negative one)
From the fourth coefficient to the fifth coefficient, there's a change of sign from negative to positive (negative one to positive five)
The changing of sign happened four times, and it means h(x) has four positive real zeros or less (even numbers of zeros), so h(x) could have either four or two real zeros.
The maximum number of solutions for a polynomial of degree four is four solution, so there are no negative zeros.
When you add, you subtract the exponents. When you divide, you subtract the exponents.
When you have multiplication and division in one expression, you do it from left to right.
7^2 times 7^5 = 7^ (2+5) = 7^7
7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2
7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8
Put it in a calculator.
614656.
That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!
If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.
