What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
Answers
f(x) - 10 = x² + 4x
perfect square:
x² + 4x + 4 ⇒ (x + 2)²
(x + 2)² = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4
f(x) - 10 + 4 = x² + 4x + 4
f(x) - 6 = (x+2)²
f(x) = (x+2)² + 6
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NOT A MULTIPLE CHOICE QUESTION, I NEED AN ANSWER FOR ALL!!!I. The Bread Machine (25 points)In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider: quality of homemade vs. bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.A. The bread machine you are interested in costs $100 with tax. The ingredients to make one loaf of bread cost $0.80.What is the rate of cost of one loaf of bread?B. What is your start up cost? (cost of machine)C. Write a linear equation, y = mx + b for the total cost.D. Graph the equation on the graph provided. You may use either Point Plotting or Slope-Intercept. Be sure to locate at least 3 points. You may want to do this in pencil in case you decide to use more points later in the problem.
A ratio is defined as: A. a comparison between three sets. B. a comparison between two sets. C. a set of equal ratios. D. two equal numbers.
terms in the sequence?
A)6, 2, -2,-6
B) 6,2,0,-2
C)10, 6, 2,-2
D)14, 18, 22, 26
Answers
Answer:
A)6, 2, -2,-6
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = a +dn-d
a(n) = a-d + dn
a(n) = 10 - 4n
So d=-4
to get a: (a-d)=10
a=10-4=6
The first four terms:
a(1) = 6 +(1-1)-4=6
a(2) = 6 +(2-1)-4=2
a(3) = 6 +(3-1)-4=-2
a(4) = 6 +(4-1)-4=-6
it will be A
hope this helps
Answers
The answer to this problem is 9/4 or 2.25.
B) 10 gallons of the 12% and 10 gallons of the 7%
C) 8 gallons of the 12% and 12 gallons of the 7%
D) 2 gallons of the 12% ad 18 gallons of the 7%
Answers
Answer: 12 gallon of 12% sugar and 8 gallon of 7% sugar.
Step-by-step explanation:
Let we use x gallon of 12% of sugar mixture and y gallon of 7% of sugar mixture.
Thus, According to the question,
The resultant mixture having quantity 20 gallon,
Therefore, x + y = 20 ------(1)
Also, Sugar in x gallon mixture + sugar in y gallon mixture = sugar in resultant mixture.
Again according to the question,
Resultant mixture has 10% of sugar.
Therefore, 12% of sugar in x gallon + 7% sugar in y gallon = 10% sugar in 20 gallon
0.12 x + 0.07 y = 0.2
12 x + 7 y = 200 --------(2)
7× equation (1),
We get, 7x + 7y = 140 -----(3)
Equation(1) - equation (3)
5 x = 60
x = 12
By putting the value of x in equation (1),
12 + y = 20
⇒ y = 8
Thus, He will add 12 gallon of 12% sugar mixture and 8 gallon of 7% sugar mixture for obtaining 20 gallon of 10% sugar mixture.
Therefore, First Option is correct.
12 × 0.12 (this is 12%) = 1.44
8 × 0.07 (this is 7%) = 0.56
1.44 + 0.56 = 2.00
Therefore, the correct answer is A.
Answers
Answer:
444
Step-by-step explanation:
3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 12 )^2 + 4 ]
= 3 [ 144 + 4 ]
= 3 [ 148 ]
= 444
Step-by-step explanation:
3(15-3)²+4
3(12)²+4
3×144+4
432+4
436 Answer
Answers
Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)
Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)
p q
A 3 4 ⇒ 3 + 4 = 7
B 6 1 ⇒ 6 + 1 = 7
C 9 -2 ⇒ 9 + (-2) = 7
Notice that the sequence has an equation of p + q = 7.
Answer:
C
Step-by-step explanation:
p+q=7
Answers
Answer:
D
Step-by-step explanation:
it's a positive line so it's not A or B. C would be under 1 and the line is above 1 making it D
Answer:
b or c not sure which
Step-by-step explanation:
good luck rise/run so 2/3