Answer:
(3, -31)
Step-by-step explanation:
Factor 4 out of the first two terms:
y=4x^2-24x+5 becomes y=4(x^2 - 6x) +5
Next, complete the square of (x^2 - 6x): It is x^2 - 6x + 9 - 9
Insert this into y=4(x^2 - 6x) +5 in place of x^2 - 6x:
y=4(x^2 - 6x) +5 => y=4(x^2 - 6x + 9 - 9) +5, or
y=4( (x - 3)^2 - 9 ) + 5, or
y = 4(x - 3)^2 - 36 + 5, or:
y = 4(x - 3)^2 - 31
Compare this to: y = a(x - h)^2 + k
We see that the coordinates of the vertex (h, k) are (3, -31), and that a = 4.
In 2016 the U.S. Census Bureau estimated the population of the United States at 322 million. If the annual rate of growth was about 0.81%, find the expected population at the time of the 2030 census. Round your answer to the nearest ten million.
Answer:
388,000,000
Step-by-step explanation:
So as we have 322 million
we want to take 0.81% of it and add to the total each year so
322,000,000*0.81%=2,608,200
322,000,000+2,608,200=324,608,200
and now do that for 22 more years so
We get 387,649,305.98 as our population
387,649,305.98 -------> 388,000,000
A little help thank u have a nice day :)
Please help I’ll give brainleist.
Answer:
B
Step-by-step explanation:
4 represents the number of bounces
and 1/2 represents the decreases in the height of bounce
HAVE A GREAT DAY!
Please help
Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to the line -2x + 4y = 8.
1. y = -1/2x +13/2
2. y = 1/2x - 3/2
3. y = -1/2x - 7/2
4. y = 1/2x + 3/2
Answer:
4. y = 1/2x + 3/2
Step-by-step explanation:
First, we need to change the line that's parallel into slope-intercept form.
-2x + 4y = 8
4y = 2x + 8
y = 1/2x + 2
If it's parallel, then it remains the same. So our slope is 1/2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = 1/2x + b
-1 = 1/2(-5) + b
-1 = -5/2 + b
3/2 = b
y = 1/2x + 3/2
Could someone help me out with this
Hey! It's me again! You told me to answer this, so I will deliver ☺
Answer:
15/21
Step-by-step Explanation:
Because 1/3 and 2/7 do not have the same denominator, we will have to multiply them to get one that they'll both share.
In this case, you multiply both denominators, 3 and 7, to get 21.
We do the same with the numerators, but in a different way.
We're gonna multiply the numerators by the OTHER fractions' denominators this time. So, we do this:
1 x 7 = 7
2 x 3 = 6
We end up getting these fractions:
7/21
6/21
And now, we just subtract 6 from 21, to get 15.
And you get 15/21.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
The measure of the angles of a triangle are shown in the figure below solve for X
Answer:
7=x
Step-by-step explanation:
When converting the equation of a line
into Standard Form, which of the
following is an important "rule" to
remember?
Ax + By = C
Answer:
Step-by-step explanation:
In the standard form Ax + By = C, the A can only be any positive integer and B and C can be any integer.
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!
Answer:
OQ=33
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
Which value is the log being taken of in the equation: log4 (x − 5) = 3?
Answer:
Step-by-step explanation:
I don't get what you're talking about but imma just do the log of each number
4=.602
5=.699
3=.4771
Which inequality is NOT true when x = -2?
Answer:
Step-by-step explanation:
x > -2
x < -2
legs and hypotenuse
Answer:
Step-by-step explanation:
For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.
Find the circumference of the circle.
A circle has diameter 9 centimeters.
9
Answer:
2.86478897565 or 3 (if rounded to the nearest whole number)
Step-by-step explanation:
How we find circumference by using diameter is divide the diameter by pi
SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)
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Find the distance between the points A(2, 3) and B(4, 1).
Answer:
sqrt(8) or 2.828
Step-by-step explanation:
You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value
Answer:
sqrt(8) units
Step-by-step explanation:
Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d=distance, and (x1, y1) and (x2, y2) are the points.
d=sqrt((4-2)^2 + (1-3)^2)
=sqrt(2^2 + (-2)^2)
=sqrt(4+4)
=sqrt(8)
A and B are sqrt(8) units apart.
HELP plsssssssss i willgive brainiest
Answer:
26. connoisseur
27. engulf
28. emulate
29. stupefy
30. rudimentary
Step-by-step explanation:
Rewrite the function to complete the square f(x) = x^2 + 4x + 41
Answer:
f(x)=(x+2)^2+37
Step-by-step explanation:
Got it right on Khan :)
The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = x² + 4x + 41.
The quadratic function is converted into square form by adding and subtracting the square of the half of the coefficient of x.
f(x) = x² + 4x + 41
Transform into square form. Then the quadratic function will be
f(x) = (x² + 4x + 4) + 41 – 4
f(x) = (x + 2)² + 37
The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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PLEASE HELP ASAP WILL MARK BRANLIEST
did i get the right answer or is it wrong?
Answer:
62.2Step-by-step explanation:
4n × 2 + 43
[By putting the value of n = 2.4]
= (4 ×2.4) × 2 + 43
= 9.6 × 2 + 43
= 19.2 + 43
= 62.2 (Ans)
Answer:
4(2.4) x 2 + 43
= 9.6 x 2 + 43
= 19.2 + 43
= 62.2
Step-by-step explanation:
You got it wrong it is 62.2
1. A 42 inch television is 40.6 inches wide. Using the diagram below, determine the
height of the
television. Round your solution to the nearest hundredth.
42 in.
40.6 in.
Answer:
184.85 square mm
Step-by-step explanation:
The area of a sector of a circle is , where r is the radius and is the angle in radians subtended by the arc at the centre of the circle.
Since, diameter = 40.6 mm
So, radius(r)=20.3 mm and = radians
So, area of sector=
=
Step-by-step explanation:
Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40
Answer: 10 bottles
Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10
Question 7: The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg. How
much more does Anne's cat weigh?
A) 28 kg
B) 2 kg
C) 8 kg
D) 9.3 kg
Answer: C
Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!
The value of weight of Anne's cat will be 28 kg. Then the correct option is A.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.
Let 'x' be the weight of Anne's cat. Then the equation is given as,
5 / 7 = 20 / x
Simplify the equation, then we have
5 / 7 = 20 / x
1 / 7 = 4 / x
x = 28 kg
The value of weight of Anne's cat will be 28 kg. Then the correct option is A.
More about the ratio link is given below.
https://brainly.com/question/13419413
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HELP PLEASE 15 POINTS
Angle C, it sounds obvious but they correspond to the angle in the same order as them, as both E and C are in the middle it has to be C.
Answer:
C
Step-by-step explanation:
ΔDEF ≅ ΔBCA
It's asking which one is similar to ∠E
∠E ≅ ∠C
Write the number two and a half million in figures?
Answer:
2,500,000
Step-by-step explanation:
here's the answer
have a great day or night
There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could
you eat?
Answer:
Step-by-step explanation:
are the numbers linear or nonlinear
x- 0, 3, 6, and 9
y- -3, 9, 21, and 33
Answer:
I'm not really,
sure but I think non linear
Step-by-step explanation:
sorry if I'm wrong
Find the radius of the sphere with the given volume. (15 points)
Please show your work!
Answer:
r = 1/2
Step-by-step explanation:
sphere volume = 4/3πr³
4/3πr³ = 1/6π
divide both sides of the equation by π:
4/3r³ = 1/6
multiply both sides by 6:
24/3r³ = 1
reduce:
8r³ = 1
divide both sides by 8:
r³ = 1/8
r = 1/2
b. Canada had about
as many total medals as Australia
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Answer: The united states has the most metals out of all of the countries.
Explanation:
I hope this helped!
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60+(55-45)+9 find the total
Can someone PLEASE help me with this problem?
Answer:
3/5 of a foot
Step-by-step explanation:
1/5+2/5=3/5
A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer
Answer:
475 children
Step-by-step explanation:
A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer
Step 1
We find the total number of visitors the restaurant had over the weekend. This is calculated as:
Let the total number of visitors = x
4/9 × Total number of visitors = 380 Adults
4/9 × x = 380
4x/9 = 380
Cross Multiply
4x = 9 × 380
x = 9 × 380/4
x = 855 visitors.
Step 2
The number of visitors that were children is calculated as:
Total number of visitors - Number of Adults
= 855 visitors - 380 Adults
= 475 children
Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)