y = -5x2 - 10x - 15
Enter the correct answer.
Answer:
Vertex of parabola (-1, -10)
Step-by-step explanation:
For a given quadratic y = ax² + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k. If you've already learned the Quadratic Formula, you may find it easy to memorize the formula for k, since it is related to both the formula for h and the discriminant in the Quadratic Formula: k = (4ac – b2) / 4a.
Answer:
4x + 14
Step-by-step explanation:
From the question,
L =(x + 8)
W =(x -1)
Perimeter of a rectangle
= 2(L + B)
P = 2( x+8 + x-1)
Using distributive property
We have
2xx +2x8 + 2xx -2x1
2x + 16 +2x -2
2x + 2x +16 -2
4x + 14
4. Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?
5. You mix 7 tablespoons of vinegar for 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons of baking soda. How much vinegar do you use?
6. A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker? Explain.
7. The ratio of three numbers are 4:5:3. The sum of the numbers is 84. What are the 3 numbers?
8. You buy 10 pounds of bird seed at Store A for $11.50. Your friend buys 15 pounds of bird seed at Store B for $19.50. How much less would you spend by buying 20 pounds of bird seed at the store with the better deal?
[MA]:
3: 80 weeks.
4: 5 hours
5: 26.25 teaspoons
The explanation:
3.
1st week = 20 walls
2nd week = 20 + 20 = 40 walls
3rd week = 20 + 20 + 20 = 60 walls
4th week = 20 + 20 + 20 + 20 = 80
Therefore, in 4 weeks. 80 walls in total will be painted.
4.
6 km in 3 hours
10 km in x hours
Proportion:
6 - 3
10 - x
Cross multiplication:
6x = 3 * 10
6x = 30 \ divide by 6
x = 5
It will take 5 hours.
5.
Tablespoon of vinegar taken (v) = 7
Tablespoon of baking soda taken (b) = 4
Therefore, ratio between v and b: 7 : 4
Tablespoon of vinegar taken (v) = x
Tablespoon of baking soda taken (b) = 15
Therefore, ratio between v and b = x : 15
7 : 4 : : x : 15
Produce of extremes = Product of means
26.25 teaspoons
Writer's note: Hope this helps!
[xArtsy}
actual rate?
The actual rate of the mortgage is 5.27%.
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, we're taking two mortgages for a total of $100,000 for 30 years,
Now, we can find the actual rate of the mortgage by finding the weighted average of the two rates.
Hence, The weights in this case will be the proportion of loan taken at each rate;
We have
Rates Weights Rates × Weights
4.15 0.80 4.15 x 0.80 = 3.32
9.75 0.20 9.75 x 0.20 = 1.95
Hence, The actual rate of the mortgage is,
⇒ 3.32 + 1.95
⇒ 5.27%.
Learn more about the multiplication visit:
#SPJ5
Answer:
mine was 5.45$
Step-by-step explanation: