Answers
Using the given quadratic function, it is found that:
a) The vertex is (-2.5, -15.5).
b) The y-intercept is of -3.
c) The solutions are x = -0.28, x = 5.28.
What is the quadratic function?It is modeled by:
f(x) = 2x² - 10x - 3.
Which means that the coefficients are a = 2, b = -10, c = -3.
What is the vertex of the function?It is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Hence:
[tex]x_v = -\frac{-10}{4} = -2.5[/tex]
[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]
The vertex is (-2.5, -15.5).
What is the y-intercept of the equation?It is the value of coefficient c, hence it is of -3.
What are the solutions?[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]
[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]
[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]
The solutions are x = -0.28, x = 5.28.
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Related Questions
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Answers
Answer:
y=5x-5
Step-by-step explanation:
The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.
The following statement is a Contingency: (P and (P => Q)) => Q T True F False
Answers
The statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.
What is a contingency statement?Contingency is a statement in which there are some true and some false values for every value of its propositional variables.
The statement given is (p and (p => q)) => q), or in more symbolic way, it is: ((p ∧ (p → q)) → q)
Now, let we evaluate it for p = False, and q = False.
Then we get:
(p → q) = T (as False implied False)
Now, (p ∧ (p → q)) is F and T which is F
Then, ((p ∧ (p → q)) → q) is F → F which is True, or T.
Thus, p = F,and q = F makes ((p ∧ (p → q)) → q) = T
Similarly, the truth table for the statement (p and (p => q)) => q) or simply ((p ∧ (p → q)) → q) is:
p q ((p ∧ (p → q)) → q)
F F T
F T T
T F T
T T T
Since all the values are true, thus, this isn't a contingency.
Thus, the statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.
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Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
Answer:
QR ≈ 9.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos49° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{6}{QR}[/tex] ( multiply both sides by QR )
QR × cos49° = 6 ( divide both sides by cos49° )
QR = [tex]\frac{6}{cos49}[/tex] ≈ 9.1 ( to the nearest tenth )
I need help please. What is the similarity statement for the triangle pair?
A. ΔXYZ~ΔNEW
B.ΔXZY~ΔNWE
C.ΔYZX~ΔNWE
D. ΔZYX~ΔENW
Answers
Prove that the value of the expression
(16^3–8^3)(4^3 +2^3) is divisible by 63.
Answers
Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
Please help me with math area finding
Answers
Answer:
832.5
Step-by-step explanation:
if you multiply the height by the base and then divide by 2 you will get this answer (it's the formula)
let a=x2+4. use a to find the solutions for the following equation:(x2+4)2+32x2=48
Answers
esas son las respuestas segun yo pero revisalas para ver si estoy en lo correcto
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2? (2 points)
15
22
17
28
Answers
Answer: 15
Step-by-step explanation:
20 ÷ 4 + (6 x 2) − 2
Start by solving the parenthesis
20 ÷ 4 + (12) − 2
Now using order of operations we know to do division before addition/subtraction
5+12-2
Solve addition/subtraction from left to right
17-2
15
Pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
Answers
Answer:
$19.90
Step-by-step explanation:
Cost at Best Computers
$299 x (100 - 40)%$299 x 60%$299 x 0.6$179.40Cost at Val-U-Mart
$299 x (100 - 30)% - $10$299 x 70% - $10$299 x 0.7 - $10$209.30 - $10$199.30Money saved
199.30 - 179.40$19.90Help i will give thanks to the first to answer
Answers
Answer:
The value of the expression is 21
Step-by-step explanation:
You need to plug 5 into z
Expression:
5z-4
5(5) - 4
Notice that 5 shall be multiplied meaning 5 x 5
25-4
= 21
It's 21 since 5 times 5 is 25 subtracted 4 is 21
thought it was something else
Madison's favorite part of pizza is the crust. Pizza sizes are determined by their
diameter. Which size pizza should Madison order to get 37.68 inches of crust?
Answers
Answer:
Step-by-step explanation:
Find the percent of change 7 players to 10 players
Answers
70%
hope it really helps...!!!
given sin(theta) = -8/17 and pi (Picture of the problem below) (answers in picture below)
Answers
Answer:
(d) 240/289
Step-by-step explanation:
The trig identity for the sine of a double angle can be used to find the desired value.
sin(2θ) = 2sin(θ)cos(θ)
__
The cosine of this 3rd-quadrant angle is negative:
cos(θ) = -√(1 -(-8/17)²) = -(√(289 -64))/17 = -15/17
Then the desired sine value is ...
sin(2θ) = 2(-8/17)(-15/17) = 240/289
_____
Additional comment
The attached calculator result comes from the principal value of the arcsine function resulting in a 4th-quadrant angle for negative sine values. Double that angle will still be a 4th-quadrant angle. When the translation is made to the appropriate quadrant, the desired double angle will be a 1st-quadrant angle with a positive sine.
Find the solution to the system of equations.
3x + y + z = 6
3x - y + 2z=9
y+ Z=3
O A. x = 2, y=-1, z = 5
O B. x = 1, y = 0, z = 3
O C. x = 5, y = -2, z = 6
O D. x = 2, y = 1, z = 4
Answers
Answer:
B. x = 1, y = 0, z = 3
Step-by-step explanation:
Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...
x = 1, y = 0, z = 3
__
There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.
A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.
Many calculators will solve the system of equations after you enter it as presented in the problem statement.
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
Answers
Answer:
a on edg
Step-by-step explanation:
i just did the question
The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
In this case, the given function is:
F(x) = (x - 4)/(x - 3)
The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.
Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.
The denominator becomes zero when:
x - 3 = 0
x = 3
So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
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The complete question:
F(x) = (x - 4)/(x - 3)
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
The number of ways 4 chairs can be arranged.
Answers
Answer:
24 arrangements.
Step-by-step explanation:
ive done this before
Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Kevin have.
Answers
Answer:
x + (5x-9)
Step-by-step explanation:
x stands for the number of coins Nancy has
Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9
To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9
x + (5x-9)
But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. A ramp formed the angles shown to the right. What are the values of A and B?
Answers
Answer:
A=167⁰, B=13⁰
Step-by-step explanation:
A=167⁰
B=13⁰
I HOPE IT HELPED YOU
Answer:
a° = 167°, b° = 13°
Step-by-step explanation:
since the angles in a triangle add to 180°, we can work out b°
90° (right angle) - 77° = 167°
180° - 167° = 13°
since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answers
Answer:
x²-5x+6 =0
x²-3x-2x+6 =0
x(x-3)-2(x-3)=0
(x-2)(x-3) =0
x-2 =0, x-3 = 0
x=2 , x = 3
x = 2 or 3 answer
what is the digit 9 in this number 195,487
Answers
Hope this helps
Answer:
In this case the number 9 would be located in the tens of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Use the information shown in the line plot. What is the total weight of the 4 heaviest melons?
Answers
Answer:
22.5 lbs
Step-by-step explanation:
the four heaviest melons are 5 1/2, 5 1/2, 5 1/2, and 6 pounds
when you add those together
5.5 + 5.5 + 5.5 + 6
you get
22.5 lbs
The sum of 15 and twice a number is -31. Find the number
Answers
Answer:
-23
Step-by-step explanation:
15 + 2n = -31
15 + 2n - 15 = -31 - 15
2n = -46
n = -23
With that in mind, try to answer the question.
If the diameter of the moon is 3476 km, what is the circumference of the moon,
in kilometers? (Round your answer to the nearest thousand kilometers.)
Answer
Answers
Answer:
10920.176064km
Step-by-step explanation:
Circumfrence = 2*pi*radius
radius = diameter/2
r = 3476/2
c=2(pi)r
c=2(pi)(3476/2)
c=10920.176064
Which inequality doesn't belong?
5/4≤2 8.5≥0.95 8.5≤7 10.00≤100
Answers
Answer:
8.5 < 7
Step-by-step explanation:
8.5 is less than 7.
doesn't verify mathematically.
Help please thank you
Answers
5 gallon / 20 hours = x gallons / 48 hours
Cross multiply
20x = 5*48
20x = 240
X= 12
Answer:
12 gallons
Step-by-step explanation:
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Answers
Answer:
The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
An electronics store reduced the price of a TV from $1100 to $946. What was the percent of decrease?
Answers
Answer:
14%
Step-by-step explanation:
946/1100 = 0.86
1 - 0.86 = 0.14 = 14%
Answer: 14%
Answer:
14% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
Percentage Decrease = [ (1100 - 946) / |1100| ] × 100
Percentage Decrease = [ (154) / |1100| ] × 100
Percentage Decrease = [ 0.14] × 100
Percentage Decrease = 14
Find the slope of the line passing through the points (-4, 1) and -9,5)
Answers
The slope of the line is -0.8.
The formula for distance is...
y2−y1 5−1
______= ________
x2−x1 −9− −4
And so when simplified we get
4
__
-5
Giving us -0.8.
PLEASE HELP BEST ANSWER GETS BRAINLY
Answers
Answer:
it is the third one 1,133.54 in²
Step-by-step explanation:
38÷2=19 = R
19²×3.14 = 1,133.54 in²
Pleeeeeeeeeseee help meee!!!
Answers
Answer:
y= 44
Step-by-step explanation:
you know 4y so just
×11 and you get 44