We will see that the vertex of the quadratic equation is at (1, 14)
How to find the vertex of a quadratic function?For a general quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The x-component of the vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 + 4x + 12[/tex]
Then the vertex is at:
[tex]x = -4/(2*-2) = 1[/tex]
To get the y-component of the vertex, we need to evaluate in x = 1.
[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]
Then we conclude that the vertex is at (1, 14), so the correct option is d.
If you want to learn more about quadratic equations:
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Which of the following ordered pairs does NOT represent a point that lies on the graph of the linear equation x + 5y = 15?
A. (10, 1)
B. (-5, 1)
C.(5, 2)
D.(-10, 6)
Answer:
D
Step-by-step explanation:
(-10,6) got it correct
A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place
Answer: The answer is v=25.1 cm³
Step-by-step explanation:
b=4
h= 2
r= 4/2 r =2 radius is half of the diameter
V=πr²h
v= π(2)²2
v= 25.132741228718
v=25.1 cm³
I really need help with this. This is for AP Calculus. I just need to find the derivative for this function.
Answer: 40x^4 + 56x^3 − 16x − 14
Step-by-step explanation:
1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.
3. Simplify
4. Multiply 4x^2 + 7x^1 times 6x^2
5. Multiply 2x^3 - 2 times 8x^1 + 7x^0
6. To multiply powers of the same base, add their exponents.
7. Simplify
8. Combine like terms
9. For any term t, t^1 = t
10. For any term t except 0, t^0 = 1
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP pls
Answer:
28.27
Step-by-step explanation: used to do acellus too
Helppppppppppp meeeeer
Answer:
the answer will be (A)
Step-by-step explanation:
i think the closest will be the first option..
(sorry that i made a mistake earlier)
hope it helps .. please mark brainliest ♡
Answer:
the answer is A
Step-by-step explanation:
5 - 9 round up
1 - 4 round down
Use the properties of limits and the facts given below to find each of the limits given
Answer:
where are the limit questions?
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.
What is the definition of probability?It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.
Given data;
Total outcomes rolling a pair of dice =6×6=36
Probability obtaining the total of 12 is;
P(A) = 1/36
P(A) = 1/36
P(A) = 1/36
Probability of obtaining the total is less than 5:
P(B)=6/36
the probability of rolling the sum of 12 OR less than 5 is calculated as;
P(sum of 12 OR 5) = 1/36 + 6/36
P= 7/36
Hence,the probability P (sum of 12 OR 5) is 7/36.
To learn more about the probability, refer to the link;
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Find the distance between the points (2, 8) and (-1, 9).
1.√10
2. √2
3.2√3
Answer:
1.
Step-by-step explanation:
distance = √(X2 - X1)^2 + (Y2 - Y1)^2
= √(-1 - 2)^2 + (9 - 8)^2
= √(-3)^2 + (1)^2
= √ 9 + 1
= √10
Answer:The distance is √10
Step-by-step explanation:
Is 1000 a sequence in 50 65 80 95
Answer: yes
Step-by-step explanation:
it’s the 41st term
Please help me!
How do you simplify the expression[tex]: x*4^8/4^5[/tex]
Answer:
64x
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b - c}[/tex], we can simplify the fraction.
Simplify:[tex]x*\frac{4^8}{4^5}[/tex][tex]x* 4^{8 - 5}[/tex] Use the exponent rule.[tex]x * 4^3[/tex] Simplify the power[tex]x*64[/tex] Simplify the exponent[tex]64x[/tex] SimplifyThe simplified expression is 64x.
If you knew that two angles complemantary and were given the measure of one of those angles would you be able to find the measurement of the other angles
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
What is the median in the box plot?
Answer:
The answer is 76.
Step-by-step explanation:
The median would be the middle number in a box and whisker plot.
(5, -7) and (6,-4)
What is the slope?
Winston is making steaks for his 7 friends. If each steak is 7.2 oz, how much steak is Winston making?
Answer:
3.15 lbs or 50.4 oz
Step-by-step explanation:
multiply steak oz by the number of steaks
7.2 * 7 = 50.4
to convert oz to lbs divide by 16
50.4/16 = 3.15
your answer is 50.4 oz or 3.15 lbs
hope this helps:)
3) Jasmine says "I am 45 kilos". Yolander says, " I am 53 kilos". Both are measured to
the nearest kilogram.
What is the greatest possible difference between their masses? Show how you
worked out your answer.
spanish 45 kilis la respuesta seria que los yolander son 53kilos
1. Find the synonym in this sentence that hints at the meaning of the underlined word:
Nelly was astounded-the party was a complete surprise.
surprise
party
complete
Nelly
Answer:
Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "
Answer:
surprise
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
Answer:
If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.
11. Find the equation for the circle with center (−2,−3) and passing through (1,5).
Answer:
(x +2)² + (y+3)² = 73
Use the distance formula to find radius:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]
[tex]\rightarrow \sf \sqrt{73}[/tex]
Eqaution of circle:
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-3))² = (√73)²
(x +2)² + (y+3)² = 73
Write the standard form of the equation of the line described
through: (4,0) parallel to y=4
Answer:
y = 0.
Step-by-step explanation:
The line y = 4 is a horizontal line, parallel to the x-axis.
The point (4,0) is on the axis so the rquired equation is:
y = 0.
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
How many people out of 100,000 will survive until age 90?
Answer:
21,526 people
Step-by-step explanation:
A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads
Answer:
[tex]5 \times 5 = 25 [/tex]
[tex]25 \times 30 = 750[/tex]
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 11.7
B) 3.8
C) 10.3
D) 5.5
Answer:
C
Step-by-step explanation:
a^2 + b^2= c^2
3.9^2 +b^2=11^2
15.21+b^2= 121
b^2= 105.79
b= 10.28542
round to 10.3
(4x+3)(6x-3) = 0
What is the positive solution to the problem?
Answer:
The positive solution is 1/2
Step-by-step explanation:
(4x+3)(6x-3) = 0
We can use the zero product property to find the zeros
4x+3 =0 6x-3 =0
4x =-3 6x = 3
x = -3/4 x = 3/6
x = -3/4 x = 1/2
The positive solution is 1/2
Factor this trinomial
X^2 + 3x - 4
Answer:
(x - 1)(x + 4)
Step-by-step explanation:
What multiplies to (-4) but adds to (3)?
These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.
x² + 3x - 4 -----> (x - 1)(x + 4)
You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.
(x - 1)(x + 4) -----> x² - 1x + 4x - 4 -----> x² + 3x - 4
Write the equality in the given diagram below
Answer :
[tex]x < 2[/tex]
0
1
2
3
7
8
9
10
4 5
+
6
+
+
Which of the following could be the number shown on the number line?
O A. √24
B. 27
C. 20
O D. 26
Answer:
A
Step-by-step explanation:
because the point number are segment
Given the function graphed below, find the average rate of change over the
interval x= 2 to x = 4. I’ve been stuck on this question for a little bit . Can’t seem to wrap my head around it
Answer:
Approximately 0.3.
Step-by-step explanation:
I can only estimate the value of the function when x = 2. it looks like it's about 2.4.
Average rate of change = [(f4) - f(2)] / (4 - 2)
= (3 - 2.4) / 2
= 0.6/2
= 0.3.
does someone mind helping me with this problem? Thank you!
Anyea
Step-by-step explanation:
Answer:
180 inches squared (^2)
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length by the width (15*12)
Don't forget it is squared! Good luck!
if g(x) = 3x+1 what is g(2)?
Answer:
7
Step-by-step explanation:
Substitute 2 into x
g(2)= 3(2)+1
= (3x2)+1
= 6+1
= 7
