Answer:
Step-by-step explanation:
a. the question can be factored as (x-5)(x-1) so the 2 x intercepts are 5 and 1
b. yes the function has a line of symmetry every parabola does and it is at when x is 3
x. the function has a minimum value because the equation has x^2 which is 1x^2 1 is a positive meaning that the function opens upward which means it has a minimum value
Answer:
A)
(1, 0) and (5, 0)
B)
Yes.
The equation is x = 3.
C)
Yes.
In this case, we have a minimum.
Step-by-step explanation:
We are given the function:
[tex]f(x)=x^2-6x+5[/tex]
Since the highest degree is two, we can immediately determine this to be a quadratic.
A)
The x-intercepts of a function are whenever the function equates to 0. Hence:
[tex]0=x^2-6x+5[/tex]
We can factor:
[tex](x-1)(x-5)=0[/tex]
Zero Product Property:
[tex]x-1=0\text{ or } x-5=0[/tex]
Solving yields:
[tex]x=1 \text{ and } x=5[/tex]
So, our x-intercepts are at (1, 0) and (5, 0).
B)
Since this is a quadratic, it indeed has a line of symmetry.
Recall that the line of symmetry for a quadratic equivalent to the x-coordinate of the vertex.
In the given function, a = 1, b = -6, and c= 5.
Hence, the x-coordinate of the vertex is:
[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(-6)}{2(1)}=\frac{6}{2}=3[/tex]
So, the line of symmetry is x = 3.
C)
Every parabola has a minimum/maximum value.
This depends on the sign of the leading coefficient.
If the leading coefficient is positive, then we have a minimum since our parabola will be curving upwards.
And if the leading coefficient is negative, then we have a maximum since our parabola will be curving downwards.
Since our leading coefficient here is 1, hence positive, we have a minimum value.
what percent is 52.8 of 55? also how did u get itttt
Answer:
The answer is 96%.
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 55, so we can write it down as 100%=55.
4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.
5. Now we have two simple equations:
1) 100%=55
2) x%=52.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=55/52.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 52.8 is what percent of 55
100%/x%=55/52.8
(100/x)*x=(55/52.8)*x - we multiply both sides of the equation by x
100=1.0416666666667*x - we divide both sides of the equation by (1.0416666666667) to get x
100/1.0416666666667=x
96=x
x=96
now we have:
52.8 is 96% of 55
Every day of the week. Jordan eams $4 per hour for delivering newspapers He also earns a weekly bonus of $14 if he arrives on time to work each day Last week Jordan arved on time to work every day and earned a total of $108 for h hours of work Based on this situation, which belongs to p in the form px + q = ?
Answer:
(D) Jordan worked a total of 21 1/2 hours.
Step-by-step explanation:
Solution: m=money made
h=hours worked
m=$4(h)+$10
$96=$4(h)+$10 subtract the 10
$86=$4(h) divide by 4
21.5=h
WILL MARK YOU BRAINLIEST
Answer:
m = 132⁰
Step-by-step explanation:
...............
What is 11x -2 (3x + 6)
Answer: 14x+4
Step-by-step explanation
Add the expressions.
11x -2+3x+6
Remove parentheses.
11 x -2+3x+6
Add 11 x and 3x
14x-2+6
Add -2 and 6
14x+4
If a woman has 10000 apples and sells 109 how many apples does she have left??
Answer:
Step-by-step explanation:
you had to subtract
10,000-109=9,891 left
Answer:9891
Step-by-step explanation
Solve the quadratic equation x2−5x=−20 by completing the square.
Answer:
x = [tex]\frac{5}{2}[/tex] + [tex]\sqrt[i]{55}[/tex]/2
What is the slope of the line?
Answer:
slope of the line is one
Step-by-step explanation:
goes up one, over one.
The slope is 1
To find slope, you first find two points on a graph. Pick one of the two and count to the other one and that gives you your slope! I hope I helped! :)
can anyone please help me:)!
You and your 4 friends plane a surprise party. Each of you contributed the same amount of money "m" for food. a) Wright an algebraic expression for the total amount of money contributed for money? b) Evaluate you expression if each person get $5.25 PLEASE HELP ME OF U KNOW I WILL THANK U IF YOU WRITE THE ANSWER FOR MR THANK YOU
Answer:
a) 5m
b) $26.25
Step-by-step explanation:
You and your 4 friends plane a surprise party. Each of you contributed the same amount of money "m" for food.
a) Write an algebraic expression for the total amount of money contributed for money?
Let the total Amount of money each person contributed be = m
Since each person contributed the same amount , and there are 5 people(you and 4 friends)
The total amount of money contributed = 5 × m
= 5m
b) Evaluate you expression if each person get $5.25
From the answer in question a, we have algebraic expression = 5m
m = $5.25
Total cost = 5 × $5.25
= $26.25
is 1 1/2 equal to 1 to 2? why or why not
Answer:
No
Step-by-step explanation:
1 to 2 is 1/2
Answer:
No. See below.
Step-by-step explanation:
I've never heard anyone say this out loud. However, on Brainly, it is always interpreted as 1 1/2 = 1.5. So it is 1 plus 1/2.
1 to 2 is a ratio. For every set of car keys I have 2 house keys.
1 to 2 can be written either as 1/2 or 1:2 depending on how touchy your instructor is.
So no. 1 1/2 is not the same as 1:2
Eight times the sum of a number and 2 equals 3.
Answer:
8(x+2)=3
Step-by-step explanation:
Which number line can be used to find the distance between (-1, 2) and (-5, 2)?
Answer:
A
Step-by-step explanation:
I'm assuming this is in terms or the x axis so:
-1, -5
They are both pieces of the coordinates that are used to find the point in terms of the x axis
A (the first one)
Answer:
aaaaaaaaaa
Step-by-step explanation:
what information can you automatically find just by looking at a function in standard form
Answer: The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equation.
3-(-2+4i)-(5i)
how would i simplify this
Answer:
5-9i
Step-by-step explanation:
3+2-4i-5i
5-9i
please solve this question ASAP 10th Class CBSE Board
Answer:
hloooooooooooooooooooo
Your bedroom wall is 150 inches wide.You want to hang two posters,each 27 inches across,with an equal space between each poster and the wall edges.
Answer:
32
Step-by-step explanation:
let the space be x
x + 27 + x + 27 + x = 150
3x + 54 = 150
3x = 96
x= 32
Helppppppppppppp pLs
Answer:
The expression that has a value greater than 4³ is 3⁴, because 3⁴ is equal to 81 while 4³ is equal to 64
how do i write an equation of a quadratic formula when given the roots and y intercept? is there a formula i can plug the numbers in or something?
9514 1404 393
Answer:
y = -3x^2 +3x +6
Step-by-step explanation:
For roots p and q, the equation can be written as ...
y = a(x -p)(x -q)
The value of 'a' must be determined so that the product apq is equal to the y-intercept. One could say that the formula is ...
y = (y-intercept)/(pq)·(x -p)(x -q)
For your given values of p = 2, q = -1, y-intercept = 6, this becomes ...
y = 6/(2(-1))(x -2)(x +1)
y = -3(x^2 -x -2) . . . . . simplifying a bit
y = -3x^2 +3x +6
What is the value of y ,if y = 1/x ,take x= -2/3
2/3
1/2
-3/2
-2/3
Answer:
I have made in above picture
The ratio of the length to the width of a rectangle is 9:4. The width of the rectangle
is 52 mm. Write and solve a proportion to find the length. Please help!! :(
Let the length be 9x and width be 4x.
4x = 52
x = 13
Length = 9x = 117 mm
Read the problem in the box below. See if you can figure out the most logical
answer.
Dancing Pools sells swimming pools in 4 sizes. The small pool is
72 feet long and 18 feet wide. The medium pool is 80 feet long and
20 feet wide. The large pool is 88 by 22. If the new superduper
Coffeetable pool is 96 feet long, how wide will it be?
Answer:
I believe the answer would be 24
Step-by-step explanation:
the sequence of the pool length is by 8's
72 + 8= 80
80 + 8= 88
88 + 8= 96
and the same goes to the width and it goes by 2's
18 + 2= 20
20 + 2= 22
22 + 2= 24
6x + 15 = 8x + 45
Problem:
What value of x makes this equation true?
A -15
B 15
C 17
D-18
Answer:
the answer is A -15
Step-by-step explanation:
Hope this helps!
Answer:
-15
Step-by-step explanation:
6x+15=8x+45
or,6x-8x=45-15
or,-2x=30
or,x=30/-2
or,x=-15
plz help it’s a test question and I’m stuck 30pts
Answer:
A
Step-by-step explanation:
Select the answer that correctly orders the set of numbers from greatest to least.
0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction
A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25
B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction
C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25
D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25
Answer:
I think the answer would be C, I hope it helps! :) please mark me the brainiest
6. Name the first step in solving 2x - 5 = 37.
a. Add 5 to each side.
b. Divide each side by 2x.
c. Subtract 5 from each side.
d. Multiply 2x to each side.
what is x and y -6x+8y=26
Answer:
x=-13/3
y=13/4
Step-by-step explanation:
x + y = 1 and 5x - 4y = -7 How would I solve by substitution?
Calculate each unknown side length.
Round your answer to the nearest tenth.
11 in.
yin.
xin.
8.8 in.
10 in.
I need to know the correct answer thank you
Answer:
x>-1
Step-by-step explanation:
What is the volume of a square pyramid that is 8 feet tall with base edges of 3 feet ?
A.) 24 cubic feet
B.) 36 cubic feet
C.) 48 cubic feet
D.) 72 cubic feet
Answer:
i got it right on my test it is 24 cubic feet
Step-by-step explanation:
