Answer:
<h2>The answer is 87</h2>
Step-by-step explanation:
f(x) = x² + 14x - 5
To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula
That's
x - 5 = 0
x = 5
So we have
f(5) = 5² + 14(5) - 8
f(5) = 25 + 70 - 8
f(5) = 95 - 8
We have the final answer as
<h3>87</h3>
Hope this helps you
The ordered pairs already plotted have x-coordinates: -3, -2, 1, and 2.
A function cannot have two ordered pairs with the same x-coordinate.
The answer cannot have -3, -2, 1, or 2 as the x-coordinate.
Answer: First choice (-1, 2)
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
Answer:
$200
Step-by-step explanation:
4 different streets with 5 customers on each means 4*5 customers or 20 customers. If he has 20 customers and he gets $10 from each one, thats 20*10. he collected $200
Answer:
The maximum number of quarters that he could have is 13
Step-by-step explanation:
Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then
→ x + 10 >= 20
→ x >= 10 (1)
His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.
→ (x * 25) + (10 * 10) <= (4.25 * 100)
→ 25x + 100 <= 425
→ 25x <= 325
→ x <= 13 (2)
If we combine the equation 1 and 2:
10 <= x <= 13
The maximum value of x is 13
