Answers
Answer:
graph 1: f(x) = 3*x^2 - 5*x
graph 2: f(x) = 3*x^2 + 5
graph 3: f(x) = -3*x^2 - 5
Step-by-step explanation:
This is ratter easy if we know some of the main rules for quadratic equations.
For a quadratic equation:
y = f(x) = a*x^2 + b*x + c
if a > 0, then the arms of the graph will open upwards.
if a < 0, then the arms of the graph open downwards.
With this in mind we can look at the graphs, only one of them have arms that open downwards, then the function that matches with this graph should be the only one with a leading coefficient smaller than zero, which is:
f(x) = -3*x^2 - 5
Now, when we have functions like:
y = f(x) = a*x^2 + c
c is the value of y at the vertex.
In graph 2 we can see that the arms open upwards, and that the y-value at the vertex is positive (it is above the horizontal axis)
Then the function of graph 2 should have a positive leading coefficient and a positive constant term.
The function is:
f(x) = 3*x^2 + 5
Then the remaining function is the one that corresponds to graph 1
f(x) = 3*x^2 - 5*x
Then we have:
graph 1: f(x) = 3*x^2 - 5*x
graph 2: f(x) = 3*x^2 + 5
graph 3: f(x) = -3*x^2 - 5
Related Questions
The length of a rectangular pool is
L yards, and it's width is 4 yards
shorter than it's length. Write an
expression for perimeter of that
pool.
Answers
Answer:
4L-8
Step-by-step explanation:
Formula: L+L+(L-4)+(L-4)
=L+L+L-4+L-4
=4L-8 (hope this explains you the problem)
There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could
you eat?
Answers
Answer:
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
Answers
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
When converting the equation of a line
into Standard Form, which of the
following is an important "rule" to
remember?
Ax + By = C
Answers
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.
Find the perimeter of the figure to the nearest hundredth.
Answers
50.274in
Explanation:
Half circle perimeter
9/2 = 4.5
2 * pi * 4.5 = 28.27433388230814
28.27433388230814 + 5 + 12 + 5 = 50.27433388230814
Answer = 50.27433388230814
Rounded to nearest hundredth = 50.274
I hope I helped. Brainliest would be appreciated
Find the radius of the sphere with the given volume. (15 points)
Please show your work!
Answers
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
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
Answers
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
#SPJ2
Which cannot be represented by a linear
function?
A. the area of a square, given its side length
B. the price of fruit, given the weight of the fruit
C. the number of steps on a ladder, given the
height
D. the number of inches, given the number of
Answers
Rewrite the function to complete the square f(x) = x^2 + 4x + 41
Answers
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
#SPJ2
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.
Answers
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
I need help with letter B, thanks
Answers
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
Answer:
b) 58
Step-by-step explanation:
b)
Formula for all of them:
A = bh
Big rectangle:
A = bh
A = (8)(6)
A = 48
Right rectangle:
A = bh
A = (2)(3)
A = 6
Bottom rectangle:
A = bh
A = (2)(2)
A = 4
Combined:
48 + 6 + 4
58
A little help thank u have a nice day :)
Answers
(−4,0)
Radius: 5
hello, please help i’ll give u okayyy ly!!!! <3
Answers
Step-by-step explanation:
Isoceles triangle.
It is a isoceles triangle since we know that one triangle angle measure is 80 we can solve the rest.
Since line AB and CD is parallel and line AC is the transversal, Angle A measure is 50 via the alternate interior angle postulate.
We can then using the triangle interior theorem to find the third angle.
80+50+x=180
130+x=180
x=50
So the third angle measure is 50.
Using the definition of a isoceles triangle, the triangle has two congruent measures so it is a isoceles triangle.
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
Answers
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
If measured at the same moment, the length of a person's shadow varies directly with the height of the person. If a 3 foot child casts a 5 foot shadow, what is the length of the shadow of a 6 foot adult?
Answers
Answer:
10 ft
Step-by-step explanation:
let l be length of shadow and h the height of a person
Given l varies directly with h then the equation relating them is
l = kh ← k is the constant of variation
To find k use the condition h = 3, l = 5 , then
5 = 3k ( divide both sides by 3 )
[tex]\frac{5}{3}[/tex] = k
l = [tex]\frac{5}{3}[/tex] h ← equation of variation
When h = 6 , then
l = [tex]\frac{5}{3}[/tex] × 6 = 5 × 2 = 10 ft
are the numbers linear or nonlinear
x- 0, 3, 6, and 9
y- -3, 9, 21, and 33
Answers
Answer:
I'm not really,
sure but I think non linear
Step-by-step explanation:
sorry if I'm wrong
Can someone PLEASE help me with this problem?
Answers
Answer:
3/5 of a foot
Step-by-step explanation:
1/5+2/5=3/5
Please help I’ll give brainleist.
Answers
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!
Answer problem fast pls
Answers
Answer:
m<A: 62
m<B: 54
Step-by-step explanation:
180 - 116 = 64
3x - 13 + 2x + 4 + 64 = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 25
m<A:
3x - 13
3(25) - 13
62
m<B:
2x + 4
2(25) + 4
54
Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40
Answers
Answer: 10 bottles
Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10
legs and hypotenuse
Answers
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.
The measure of the angles of a triangle are shown in the figure below solve for X
Answers
Answer:
7=x
Step-by-step explanation:
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!
Answers
Answer:
OQ=33
Step-by-step explanation:
60+(55-45)+9 find the total
Answers
I hope this helped
Use PEMDAS
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.
Answers
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:
HELP PLEASE 15 POINTS
Answers
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
Find the distance between the points A(2, 3) and B(4, 1).
Answers
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.
Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
Answers
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)
Could someone help me out with this
Answers
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! ☺
Which inequality is NOT true when x = -2?
Answers
Answer:
Step-by-step explanation:
x > -2
x < -2