Answer:
(9/2,0) and (0,-1)
Step-by-step explanation:
y(0) = log(1)-1 = -1
y=0 when log(2x+1) = 1
2x+1 = 10
x = 9/2
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
Answer:
<h3>numbers of
Ostrich he keep =
725</h3>
<u>Step-by-step explanation:</u>
- Area of field = 30 × 155 + 90 × 45
- Area of field = 4650 + 4050
- Area of field = 8700 m²
numbers of Ostrich = 8700 ÷ 12
numbers of Ostrich = 725
Answer:
<h3>The answer is 0.5 m/s²</h3>
Step-by-step explanation:
To find the acceleration of an object given it's mass and the force acting on it can be found by using the formula

From the question
force = 5 N
mass = 10 kg
So we have

We have the final answer as
<h3>0.5 m/s²</h3>
Hope this helps you