Answer:
100
Step-by-step explanation:
10*5*4=200
200/2=100
Answer: T=4
Step-by-step explanation:
Answer:
the numbers are 7 and 11
Step-by-step explanation:
If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...
18 + smaller = 25
smaller = 25 -18 = 7
larger = 18 -7 = 11
The two numbers are 7 and 11.
_____
If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.
x + y = 18
2x + y = 25
Subtract the first equation from the second:
(2x +y) -(x +y) = (25) -(18)
x = 7
y = 18-x = 18-7 = 11
The numbers are 7 and 11.
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
(this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
Answer:
we have the equation y = (1/2)*x + 4.
now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:
f(4) = 6.
if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).
If we want to construct f(x), an easy example can be:
f(x) = y = k*x.
such that:
6 = k*4
k = 6/4 = 3/2.
then the function
f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)