Answer:
y = - x² + 5x - 4
Step-by-step explanation:
Given that the zeros are x = 1 and x = 4 , then the corresponding factors are
(x - 1) and (x - 4) , then
y = a(x - 1)(x - 4) ← a is a multiplier
= a(x² - 5x + 4)
To find a substitute the coordinates of any other point on the parabola into the equation.
Using (2, 2), then
2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )
a = - 1
Thus
y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )
1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?
35,500-27,500= 8000 meaning $8,000 is the profit and the percentage is %35
For the equation y=12x-4
Answer:
12 is the slope and -4 is the y-intercept
Answer:
12 is the slope and -4 is the y-intercept
Step-by-step explanation:
What is an equivalent expression for (x + 7)(x + 1).
Answer:
x2−8x 7
Step-by-step explanation:
Multiply: 68.1 x 0.8 ___________________ explain it plz
Answer:
54.48
Step-by-step explanation:
Answer:
54.48
Step-by-step explanation:
68.1
x 0.8
54.48
I NEED HLPE BAJSBFJFHF
Answer:
a. 16
Step-by-step explanation:
Consider these 3 values.
[tex] \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} [/tex]
Factor 16,27 and 35.
[tex] \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} [/tex]
Pull out two same numbers out of the root.
[tex]4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} [/tex]
Rational only when there are no square roots after simplify/evaluating.
Thus a. 16 is only rational here.
Algebra 1 Q. Checkpoint: Function concepts HWA The organizers of the Clark County Fair keep track of daily revenue from ticket sales. The function f(x) gives the revenue from ticket sales on day x of the fair. The revenue is measured thousands of dollars. What does f(4) > f(1) tell you? The revenue from ticket sales on day 4 was greater than $1,000. The fair had greater revenue from ticket sales on day 4 than on day 1. On day 1, the revenue from ticket sales was less than $4,000. $4,000 in ticket revenue is greater than $1,000 in ticket revenue. Submit.
1000*1.40=482892 algebra 6x+73=8228
Answer:
The fair had greater revenue from ticket sales on day 4 than on day 1.
Step-by-step explanation:
What is the postulate?
What is the volume of the figure?
Answer:
106
Explain how you found your answer:
What is the equation of the vertical line that goes through the point (3,-2)?
Find the value of m so that the line y = mx - 5 will pass through the point (-2,3).
Answer:
Step-by-step explanation:
b/c there is a -5 we know that the line will pass through point (0,-5) and we also want the line to pass through (-2,3) so use those two points to find the slope
m = 3-(-5) / -2 -0
m = 3+5 / -2
m = -8/2
m = -4
wich fractions are equivalent to 40% check all that apply
Answer:
[tex]\frac{2}{5} = \frac{8}{20} = \frac{4}{10} = \frac{16}{40} = 40\% = \frac{40}{100} [/tex]
hope this helps.
Solve the following:
x + 14 <2
Answer:
x is anything greater than -12
Step-by-step explanation:
I’m need the solution ASAP
Answer:
C and D, x = 5
Step-by-step explanation:
To solve this problem, you add 9.2 to both sides then divide both sides by 5.5. The Addition Property of Equality states that if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. This is the first step to solve the problem. The Division Property of Equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is the second step to solve the problem. To solve the problem, add 9.2 to both sides, that gets us 5.5x = 27.5. Now, we divide both sides by 5.5. That gets us x = 5.
Nyanna solved the equation
8(x – 3) + 7 = 2x(4 – 17) incorrectly.
Find the error in her solution. Use the sketch tool and
explain your reasoning.
Answer:
1/2
Step-by-step explanation:
Or, 8(x-3)+7= 2x(4-17)
Or, 8x-24+7=2x(-13)
Or, 8x-17= -26x
Or, 34x=17
x=1/2
Terry made 7 chicken pot pies during the month of October. He baked each pie individually for 18 minutes at one temperature. Then he baked each pie for another 20 minutes at a lower temperature. About how many minutes did Terry spend baking chicken pot pies in October?
Group of answer choices
Answer:
he spent 166 minutes baking pot pies in October
Whats values x= 2+/- i are the the roots of the quadratic equation?
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
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Substitute x = 2y - 2 into the expression 5x
(1 Point)
Answer:
Substituting x= 2y-2 in 5x
5(2y-2)
10y-10
10(y-1)
all you have to do is replace the x with 2y-2
x=2y-2
5(2y-2)
10y-10
you can further factorise
10(y-1)
10 percent of a number equals 40 what is the number
Answer:
The number is 400
Step-by-step explanation:
10 percent of 400 would be 40 because you divide by 10
3 + 7 Is what
A) 10
B) 18
C) 37
Answer:
A)10
Step-by-step explanation:
hope it helps u
What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians
Answer:
2.5
Step-by-step explanation:
What is the value of g(-3) if f(x)=2x-1 and g(x)=-x+1?
Answer:
it's answer is 4
Step-by-step explanation:
given
g(x) = - x + 1
g(-3) = -(-3) + 1
= 3 + 1
=4
Hope it will help you :)❤
What is the distance between the points R(5, 7) and S(-2, 3)?
Answer:
Step-by-step explanation:
D
The distance between points is √65.
What is distance?The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.
The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.
Given coordinates
R(5, 7) and S(-2, 3)
to find the distance between
the formula of distance for coordinates is
d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]
here y₂ = 3, y₁ = 7
x₂ = -2, x₁ = 5
substitute value in equation we get
d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]
d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]
d = √(16 + 49)
d = √65
Hence the distance is √65.
Learn more about distance;
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Round 1.453 to the nearest tenth.
Answer:
1.5
Step-by-step explanation:
Answer: 1.5 hope this helps if you Wana know how I got that then mark me brainest
Step-by-step explanation:
What is the value of y when x = 4
Answer:
Can not be determined
Step-by-step explanation:
In order to find the value of y for x = 4 you need to have a relation between x and y, which is not given. So you can't determine the value of y.
(10) Find the values of x, y, and z. The diagram is not to scale.
Answer:
y = 67 degrees
x = 86 degrees
z = 94 degrees
Step-by-step explanation:
This is easy...
38 + 56 = x
94
180 - 94 = 86
86 + 38 + 56 = 180
so x = 86 degrees
___________________
180 - 86 = 94
z = 94
___________________
94 + 19 = 113
180 - 113 = 67
67 + 94 + 19 = 180
so y = 67 degrees
In which step was the first mistake made when solving this equation.
What’s the solution for k/2=4
Answer: k=8
Step-by-step explanation:
k/2 = 4
k = 4 x 2
k = 8
Check: 8/2=4
Answer:
[tex]k=8[/tex]
Step-by-step explanation:
[tex]\frac{k}{2} = 4[/tex]
Multiply both sides by 2 to isolate k
[tex]\frac{k}{2}(2) = 4(2)\\k=8[/tex]
I hope this helps!
Find a.
Round to the nearest tenth:
2 cm
с
150
1050
a =
= [? ]cm
Answer:
a = 1.8 cm
Step-by-step explanation:
Here. we want to find the value of a
To do this, we are going to use the sine rule
it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle
From the diagram, we have that;
The angle facing a is;
180-15-105 = 60
So, we have that
a/sin 60 = 2/sin 105
a = 2sin 60/sin 105
a = 1.794 cm
3 + (-7) = ?
Need helpppp
Answer:
The answer would be -4
Step-by-step explanation:
If you think about it like -7+3 it can help you figure out what sign to use :)
Please help, fast! 50 points!
Answer: e?
Step-by-step explanation:
Answer:
28
Step-by-step explanation: