The quadratic equation that contains the three points is y = -x² + 3x + 40
A quadratic equation is in the form:
y = ax² + bx + c
At point (-4, 12):
12 = a(-4)² + b(-4) + c
16a - 4b + c = 12 (1)
At point (2, 42):
42 = a(2)² + b(2) + c
4a + 2b + c = 2 (2)
At point (3, 40):
40 = a(3)² + b(3) + c
9a + 3b + c = 40 (3)
Solving equation 1, 2, and 3 gives:
a = -1, b =3, c = 40
y = -x² + 3x + 40
Hence the quadratic equation is y = -x² + 3x + 40
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The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
A cone has a height of 10 meters and a diameter of 20 meters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer: 235.5 cm³
Step-by-step explanation: Volume of a cylinder is the area of the circular base times the height of the cylinder:
V = π r² h
Given r = 5 cm and h = 3 cm:
V = (3.14) (5 cm)² (3 cm)
V = 235.5 cm³
1. Find the AREA of the circle.
Answer:
Step-by-step explanation:
If you leave π as π, it should be 169π square feet
If you do π as 3.14, it should be 530.66 square feet.
If you do π as 22/7, it should be 531 1/7 square feet.
Hope that helps! :)
Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (To the nearest whole inch)
Answer:
The listed size is 32 inches
Step-by-step explanation:
Given
See attachment for television
Required
The listed size
The listed size is calculated by the diagonal of the television.
This is calculated as using Pythagoras theorem as follows:
[tex]Diagonal^2 = Length1^2 + Length2^2[/tex]
Where:
[tex]Length1 =28in[/tex]
[tex]Length2 =15.7in[/tex]
So, we have:
[tex]Diagonal^2 = 28^2 + 15.7^2[/tex]
[tex]Diagonal^2 = 784 + 246.49[/tex]
[tex]Diagonal^2 = 1030.49[/tex]
Take positive square roots of both sides
[tex]Diagonal = \sqrt{1030.49[/tex]
[tex]Diagonal = 32[/tex] --- approximated
Hence, the listed size is 32 inches
BRAINLIEST TO WHO EVER ANSWERS THIS RIGHT
for brainiest:):):):):):):):):):)
**PLZ HELP IM TERRIBLE AT MATH**
Calculate the pay for the following day of a
weekly time card given a wage of $13/hr.
Name
Week of:
Morning
In Out
Monday 08:00 12:15
Afternoon
In Out
13:00
17:15
pay = $[?]
Round your answer to the nearest hundredth.
Answer:
120.9
Step-by-step explanation:
I dunno if this is right or wrong but this is what a calculated somehow please tell me if this is wrong or not
Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2
Step-by-step explanation:
do u have a picture? its mixed up
Answer:
2x • (2x2 + 1) • (5x - 3)
Step-by-step explanation:
5.4 Find roots (zeroes) of : F(x) = 2x2 + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1
Final result :
2x • (2x2 + 1) • (5x - 3)
Answer for brainliest no files
Answer:
Step-by-step explanation:
B
Answer:
D. Mia drives 2 miles per day more than Joseph
Step-by-step explanation:
Joseph drives 227.5 miles in 5 days
So, his unit rate = 227.5/5= 45.5 miles per day
Mia drives 332,5 miles in 7 days
So, her unit rate = 332.5/7= 47.5 miles per day
Difference =47.5 - 45.5 = 2 miles per day
So,
Mia drives 2 miles per day more than Joseph.
Could someone help me, please?
Answer:
∠ACD≅∠CAB
Alternate interior angles are congruent if lines are parallel
Step-by-step explanation:
Un móvil sale con una rapidez de 5m/s y alcanza una rapidez de 40m/s en 10s. Determine la distancia recorrida.
Answer:
d = 225 m
Step-by-step explanation:
Initial speed, u = 5 m/s
Final speed, v = 40 m/s
Time, t = 10 s
Acceleration,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2[/tex]
Let d is the distance covered. Using second equation of motion to find it i.e.
[tex]d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m[/tex]
So, it will cover 225 m.
HELP NEEDED PLEASE!!!! This math question confuses me. I thought the line didn't pass through any other point but I cant figure it out so please help me!
Answer:
B
Step-by-step explanation:
So wiggly, remember that slope is change in y/change in x, or in simpler terms, y/x. Thinking of this, y/x must simplyfy to -3. Or, you can think of it as -3/1.
So know that we have rewrote this as a slope of -3/1, lets use it. Where do we start? Well, we must start at point A, which is at 2 x and 7 y.
Now, going to the RIGHT(+1x) and going DOWN(-3y) we will go from 2x and 7y to 3x and 4y.
Are we on a point yet? Nope, lets do this again.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 13x and 4y to 4x and 1y.
Are we on a point yet? Still no, lets try this one more time.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 4x and 1y to 5x and -2y.
Are we on a point? YUP. We cna see that point B is at 5x and -2y.
Hope you get it right ;)
X^3-10x^2+24x=0 solve using Quadratic
HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?
Answer:
The correct answer is B: Count by hand and D: Divide 20 by 2
Step-by-step explanation:
I just got it correct.
Use the Parent function and Function 2 to choose the best statement comparing the graphs to each other.
Parent Function: y = 1/5x^2
Function 2: y = 1/5x^2 +7
A. Function 2's graph is shifted down 7 units from the Parent Function's graph.
B. Function 2's graph is shifted up 7 units from the Parent Function's graph.
C. Function 2's graph is shifted left 7 units from the Parent Function's graph.
D. Function 2's graph is shifted right 7 units from the Parent Function's graph.
Answer:
the answer is A&d
Step-by-step explanation:
I took the quiz and got 100
Solve for m.
–9 + 6m = –3m − 1 + 10m
Answer:
m = -8
Step-by-step explanation:
-9 + 6m = -3m - 1 + 10m
-8 + 6m = 7m
-8 = m
Please help
I’m so confused
Please don’t use the link joke
Answer:
i think it's 2.2
Step-by-step explanation:
it looks like (5,11) is a point that the line crosses so when you divide 11 by 5, would get 2.2
Johanna used tiles to build a rectangular array with an area of 54 W. All the possible dimensions of the array
Answer:
4
Step-by-step explanation:
To Obtian the possible dimensions of the array :
List out the factirs of 54 and use a pair of each in multiplication to obtain 54 ; Theb number of multiplication pairs obtained is the number of possible dimensions of the array :
Factors of 54 : 1, 2, 3, 6, 9, 18, 27, 54
Muliplication pairs :
(6 * 9) = 54
(18 * 3) = 54
(27 * 2) = 54
(54 * 1) = 54
Hence, there are 4 possible dimensions of the array
Shelley's Cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. Considering this data, how many of the next 20 cupcakes sold would you expect to be coconut cupcakes?
Answer:
10 coconut cupcakes.
Step-by-step explanation:
Find the value of y.
120°
240 I'm pretty sure
cause the whole circle is 360 and the minor arc is 120 so subtract it
What is the volume of a hemisphere with a diameter of 60.9 in, rounded to the
nearest tenth of a cubic inch?
The volume of the given hemisphere is 59131.7 inches³.
What is a hemisphere?
Hemisphere is the exact one-half of the sphere.
given, diameter of the hemisphere is = d = 60.9 inches
Therefore, radius = d/2 = 60.9/2 inches = 30.45 inches.
Hence, the volume = (2/3) × π × r³ = (2/3) × π × (30.45)³ inches³ = 59131.7 inches³.
Learn more about the volume of the hemisphere here: https://brainly.com/question/23118911
#Tag #SPJ2
III Question 4 of 10 ( point) Question Attempt: 1 of Unlimited Susan makes house calls. For each, she is paid a base amount and makes additional money for each hour she works, The graph below shows her pay in dollars) versus the number of hours worked. Use the graph to answer the questions.
Answer:
a) $30
b) 30
Step-by-step explanation:
a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.
b) Every hour, the pay goes up 30. Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.
Angle ABC and angle CBD are complementary. What is the value of x? Record your answer as a whole number.
No links please please please.
Answer:
x=31
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
So, 2x+28=90.
To solve:
1. Subtract 28 from both sides
2x=90-28
2x=62
2. Divide both sides by 2
x=62/2
x=31
Which of these quadrilaterals are rectangles?
Quadrilateral
Rectangle/Not rectangle
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TUT
D
>
Co
MY
Со
Answer:
a square can be a rectangle so I would think that the first and second option would be rectangles.
Step-by-step explanation:
I hope this helped sorry if not
A Triangle has one 73 angle and a 58 angle. what is the measurement of the third angle?
Answer:49
Step-by-step explanation:
Normally, a car wash costs $6. Today, Marie found a coupon so she only has to pay 60% of the normal amount. How much will Marie have to pay?
Find the length of the third side. If necessary, round to the nearest tenth. 9 14
Answer:6
Step-by-step explanation:
Answer:
10.7 on deltamath
Step-by-step explanation:
HELP!!!
A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean
of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be
recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the
following statements is true?
O 20 is a statistic and 20.25 is a statistic.
20 is a statistic and 20.25 is a parameter.
o 20 is a parameter and 20.25 is a statistic.
O 20 is a parameter and 20.25 is a parameter.
Answer: 20 is a parameter and 20.25 is a statistic
Definition of parameter: a numerical characteristic of a population, as distinct from a statistic of a sample.
Definition of statistic: a fact or piece of data from a study of a large quantity of numerical data.
Hope this helps!
Answer:
C
Step-by-step explanation:
20 is a parameter and 20.25 is a statistic
Each quadrilateral below is a parallelogram . find the missing measures!
Answer:
Step-by-step explanation:
Help ASAP pls now and thank u
Answer:
A)25
Step-by-step explanation:
5 x 5 = 25
Answer:
B.......
because to work out the area of a sphere we use
4 pie (r)²