Angles ABC and CBD are complementary - they add up to 90°. This means
(4x + 52°) + (8x - 10°) = 90°
Solve for x :
12x + 42° = 90°
12x = 48°
x = 4°
It follows that angle CBD has measure
4 • 4° + 52° = 16° + 52° = 68°
The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 5 x g(x) 0 0 1 1 2 5 3 1 4 0 which of the following statements best compares the maximum value of the two functions? the maximum value is the same for both functions. f(x) has a greater maximum value than g(x). g(x) has a greater maximum value than f(x). the maximum values cannot be determined.
Then the maximum value of both the quadratic functions is the same. Then the correct option is A.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic functions f(x) and g(x) are described as follows:
f(x) = −4x² + 5
x g(x)
0 0
1 1
2 5
3 1
4 0
The value of x for which f(x) will be maximum
[tex]\begin{aligned} \dfrac{d}{dx} \ f(x) = 0\\\\\dfrac{d}{dx} \ (-4x^2 + 5) = 0\\\\-8x =0\\\\x = 0 \end{aligned}[/tex]
Then the maximum value of f(x) will be
f(x) = −4(0)² + 5
f(x) = 5
Then the maximum value of both the functions is the same.
More about the quadratic equation link is given below.
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Answer:
The maximum values is the same for both functions.
Step-by-step explanation:
I took the test on flvs and got it right. And it should be correct too on other places like flvs. Hope this helps.
(please don't report me for advertisement of other websites. I believe how I have put it doesn't break that rule.)
Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?
The value of the quadratic equation is given by the formula. Then the value of x is 0.8968 and negative 2.23.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation for the expression is given below.
3x² + 4x = 6
3x² + 4x - 6 = 0
we know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Then we have
[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]
More about the factorization link is given below.
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-2/3(x+12)+2/3x= -5/4x +2
show your work thanks! :)
Answer:
Step-by-step explanation:
Here is a cube.
Area = 4x(squared)
The area of a face of the cube is 4x(squared).
Write an expression for the total surface area of the cube. Write your answer as simply as possible.
Answer:
Step-by-step explanation:
A cube has 6 faces. Area of one face is 4x². To find the total suface area of cube, multiply 4x² by 6
Area of cube = 6 * 4x²
= 24x²
find the slope of the line through the given points 4,2 and 6,4
Answer:
2/2 = 1
Step-by-step explanation:
Slope intercept equation:
y2 - y1 / x2 - x1 = slope
Instructions: Use the image and your knowledge of the
isosceles triangle to find the value of x.
Answer:
Step-by-step explanation:
In Isosceles triangle base angles (angles oppoiste to equal sides) are congruent.
x + x + 98 = 180 {Angle sum proeprty of triangle}
2x + 98 = 180 {Subtract 98 from both sides}
2x = 180 - 98
2x = 82 {Divide both sides by 2}
x = 82/2
x = 41
Answer:
x = 41°
Step-by-step explanation:
An isosceles triangle has 2 opposite sides equal.
Therefore the angle opposite x is also x
Hence:
x + x + 98° = 180° (angles in a triangle add up to 180°)
2x + 98° = 180°
2x = 180° - 98°
2x = 82°
2x/2 = 82°/2
x = 41°
After trick-or-treating, Juan counted his candy. He collected 25 pieces of candy and noticed that 2/5 of the candy was chocolate. How many pieces of Juan’s candy were chocolate?
f(x) = -2(3)^ x-2
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is_
The end behavior of f(x) is -
f(3) =
f(4) =
hi my name not Jeff. ok?
Step-by-step explanation:
hi im not jeff
Alex simplified the expression 7+(3x 1. 4)+5+2+(5x1. 4) to find the area of the figure on the grid.
What error did Alex make?
He found the perimeter of the figure instead of the area.
He added the lengths of the lines creating the indentation instead of subtracting them.
He used 5x1. 4 and 3 x 1. 4 as the length of each diagonal line instead of 5 and 3.
He added the five lengths together instead of multiplying them.
The error Alex made while simplifying the expression 7+(3x 1. 4)+5+2+(5x1. 4) is "he found the perimeter of the figure instead of the area".
How to find area of an object?The area of an object is the product of the length and width of the objects.
Alex added the dimensions of the grid instead of multiplying them.
7+(3x 1. 4)+5+2+(5x1. 4)
For instance,
Area of a rectangle = length × widthPerimeter of a rectangle = 2(length + width)Therefore, Alex found the perimeter of the figure instead of the area".
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Johnny’s monthly expenses and income are listed below. calculate johnny’s debt-to-income (dti) ratio. johnny's monthly debt and income housing: rent $950.00 renter's insurance $25.00 credit: student $250.00 car $239.00 credit card
Answer:
c
Step-by-step explanation:
What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
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James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server 30% of that amount. How much did each person pay if they shared the price of lunch and the tip equally?
Answer:
The answer is that they both payed $9.00.
Step-by-step explanation:
The both payed $60.00, and 30% of that is $18.00.
( $60.00*.03=$18.00)
$18.00 divided by two (two people, James and Sarah) is $9.00.
So they both payed $9.00 individually.
can someone pls help me answer this question? hurry.
Answer:
12a −24b −4
Step-by-step explanation:
What is the solution to the system of equations?
4x+y=5
x-2y=6
O(2,-2)
O (-2,2)
O (1/2,4)
Answer:
(x, y) = (1 7/9, -2 1/9)
Step-by-step explanation:
If all you want is a solution, an appropriate calculator can provide that. The attachment shows the result of using a graphing calculator. (We have to know the fraction equivalents of the decimal values shown.)
The solution to the system is ...
(x, y) = (1 7/9, -2 1/9)
__
The solution is approximately (2, -2).
Which integer has the greatest value (-17,-7,-3,-23)
Answer:
that would be -3 becuase it's the least negative out of all the choices
Step-by-step explanation:
What is the x-intercept of 4x+6y= 24
Answer:
i think its between 2-5
Step-by-step explanation:
Sal recorded the number of crackers in each snack-sized package he opened. a number line goes from 5 to 15. the whiskers range from 7 to 15, and the box ranges from 7 to 10. a line divides the box at 9. which statement must be true according to the box plot? the data is symmetric, and the lowest number of crackers in a package was 7. the data is symmetric, and the lowest number of crackers in a package was 8. the data is skewed, and the lowest number of crackers in a package was 7. the data is skewed, and the lowest number of crackers in a package was 8.
The statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
What is a number line?A number line is drawn with numbers equally spaced or sections running the length of it.
A number line should be drawn horizontally and can be extended in any direction indefinitely.
The number line shows the number of crackers lies between 7 and 13. Which is numerically as 7,8,9,10,11,12,13.The number of the digit on the number line skewed is 7.
Hence statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
To learn more about the number line refer to the link;
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Answer:
the answer is C
Step-by-step explanation:
Because im js swag
PLEASE HELP 75 POINTS
Answer:
A because a prism is the only solid they can be used in that way
The stock market rose and fell over a
period of five days:
9. 8,-3. 5, 20. 5, 8. 6, -7. 7
Overall what was the net change in the
market?
Answer:
If your stock gains over 20% from the ideal buy point within 3 weeks of a proper breakout, hold it for at least 8 weeks.
Step-by-step explanation:
the money doesn't get redistributed to someone else.
Find the value of x in the equilateral triangle.
Х
3 in
Answer:
x≈3.35, or the square root of 11.
Step-by-step explanation:
Use the pythagorian therom. 3²+1.5²=x²
(Half of 3 is 1.5 and the line splits it in half)
PLEASE HELP!!
Solve x^2=81 and x^2-18x=7.
Please show your work!
Answer:
x² = 81 , x = ± 9
x² - 18x = 7 : x = 9 ± √(22)
Step-by-step explanation:
x² = 81
simply take the square root of both sides
x = ± 9
x² - 18x = 7
This question is a bit more complicated as there is a variable with a power as well as a variable with no power. To solve for x we are going to have to put the equation in quadratic form then solve using the quadratic equation
x² - 18x = 7
put the equation in quadratic form by subtracting 7 from both sides so that the equation is equal to 0
x² - 18x - 7 = 0
we can now solve for x using the quadratic equation
recall the quadratic equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
where the value of a,b and c are derived from the equation
remember the equation is in quadratic form ax² + bx + c = 0
so ax² + bx + c = 0 : x² - 18x - 7 = 0
knowing this we can assign variables, a = 1 , b = -18 and c = -7
now we plug in the variables into the quadratic equation
recall equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
a = 1 , b = -18 and c = -7
plug in values
[tex]x=\frac{-(-18)+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]
remove parenthesis
[tex]x=\frac{18+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]
simplify exponent
[tex]x=\frac{18+\sqrt{324-4(1)(-7)} }{2(1)}[/tex]
simplify multiplication in square root and on denominator
[tex]x=\frac{18+\sqrt{324+28} }{2}[/tex]
simplify addition
[tex]x=\frac{18+\sqrt{352} }{2}[/tex]
simplify radical
[tex]x=\frac{18+4\sqrt{22} }{2}[/tex]
simplify fraction
[tex]x=9+or-\sqrt{22}[/tex]
and we are done!
If a1= 5 and an = 2an-1 + 5 then find the value of a4.
Answer:
a₄ = 75
Step-by-step explanation:
using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ + 5 = 2(5) + 5 = 10 + 5 = 15
a₃ = 2a₂ + 5 = 2(15) + 5 = 30 + 5 = 35
a₄ = 2a₃ + 5 = 2(35) + 5 = 70 + 5 = 75
Answer:
[tex]a_4=75[/tex]
Step-by-step explanation:
Given:
[tex]a_1=5[/tex][tex]a_n=2(a_{n-1})+5[/tex][tex]\implies a_2=2(a_1)+5=2(5)+5=15[/tex]
[tex]\implies a_3=2(a_2)+5=2(15)+5=35[/tex]
[tex]\implies a_4=2(a_3)+5=2(35)+5=75[/tex]
Given line segment AB with endpoints A(-1, 7) and B(11, -1)
Find the length of AB
The length of the segment AB is the number of units on AB, and the length of segment AB is 14.4 units
How to determine the length of segment AB?The points are given as:
A = (-1,7)
B = (11,-1)
The length of the segment is then calculated using:
AB = √(x₁ - x₂)² + (y₁ - y₂)²
So, we have:
AB = √(-1 - 11)² + (7 + 1)²
Evaluate the exponent
AB = √144 + 64
Evaluate the sum
AB = √208
Evaluate the exponent
AB = 14.4
Hence, the length of segment AB is 14.4 units
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Solve this equation for
ab – ac = 1 for b
Answer:
a= 1/b-c
Step-by-step explanation:
Simplify the following completely and show your work: -5x2(2x2 - 4x - 12)
Answer:
80+40x
Step-by-step explanation:
-5x2(2x2-4x-12)
-10(2x2-4x-12)
-20-20+40x+120
-40+120+40x
80+40x
A single stem rose is $3.99. What would be the price of 36 roses?
What does folding paper have to do with exponents? (Currently struggling please help
Answer:
The thickness of the paper doubles each fold: it's an exponential growth.
Step-by-step explanation:
if a cars gas tank has 15 gallons of gas in it and the gauge says it the tank is 75% full how many gallons can the entire tank hold
will make brainliest help please.
Answer:
D) As the amount of nutrients in the soil increases, the rate of plant growth increases.
Step-by-step explanation:
When there is more nutrients in the soil it makes the plant healthier and grow more. Also all of the other ones have no correlation to eachother or effect on another.
What is a fraction that is more than 1/10 but less than 1/2