Answer:
PR is an altitude
QT is a median.
Step-by-step explanation:
The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
Answer:
A (0,0)
Step-by-step explanation:
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Option A is correct.
The correct question in the attached figure
Let
x-------------> <span>the number of granola bars
y-------------> the pounds of fruit
we know that
if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1
if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4
</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48
<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure
<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12 the solution for the number of granola bars is the interval [0,12]
Answer:
11 quarters
Step-by-step explanation:
First, I subtract : 3.45 - .70 = 2.75
Then, divide : 2.75 by 25 ( a quarter ) = .11
Check : 11 x 25 = 2.75 -------------> 2.75 + .70 = 3.45
Hope this helps :)