Answer:
Step 1: Identify a, h, and k.
a=0.5, h= -2, k= -4
Step 3: The axis of symmetry is the line x= -2
Step 4: h(-4)= -2 h(-6)= 4
The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)
Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.
Answer:
the world would be filled with people
we would all be dead
Step-by-step explanation:
Answer:
6. C. 16.64 km
7. B. P 216.00
8. B. P 565 425
9. C. 0.27
10. D. 24.6875
11. B. 3 kg
12. B. ratio
13. A. Proportion
14. D. 6:10
15. B. 2:3
Step-by-step explanation:
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Speed = 5.12km/hr
Time = 3.25 hr
To find the distance;
Distance = speed * time
Distance = 5.12 * 3.25
Distance = 16.64 km
7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?
Quantity = 48 pencils
Cost price = P 4.50
To find the total selling price;
Total = quantity * cost price
Total = 48 * 4.50
Total = P 216
8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they
pay?
Quantity = 125.65 m²
Cost price = P 4500
Total price = 125.65 * 4500
Total price = P 565425
9. What is 2.7/10 = 0.27
10. What is 98.75/4 = 24.6875
11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar
contain?
Mass = 63 kg
Amount = 21 jars
Each jar = 63/21 = 3 kg
12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
13. Proportion: It is a statement that two ratios are equal.
14. What ratio is equal to 3:5?
We would multiply both ratio by 2
3:5 * 2 = 6:10
15. What ratio is proportional to 4:6?
We would divide both ratio by 2
4:6 / 2 = 2:3
Answer:
D. 1/5^15
Step-by-step explanation:
When an exponent is negative you need to get the reciprocal to make it positive.
Answer:
<em>x = 0.05</em>
<em>x = 1.57</em>
Step-by-step explanation:
The given equation is:
Moving all terms to the left side:
Now we define a function:
The solutions of the equation are the values of x such that y=0.
Since the function cannot be solved by algebraic methods, we use a graphing tool.
Those points where the graph crosses the x-axis are solutions of the equation.
Please refer to the graph in the figure below.
We can clearly identify there are two solutions at
x = 0.05
x = 1.57
