Answer:
f(x) = x² - 5x + 6
Step-by-step explanation:
Given a root of a polynomial x = a then the factor is (x - a)
Here the roots are x = 3 and x = 2 , thus the corresponding factors are
(x - 3) and (x - 2)
The polynomial is then the product of the factors, that is
f(x) = (x - 3)(x - 2) ← expand using FOIL
= x² - 5x + 6
The zeros of the quadratic x^2+4x=-2x+16 are x=-8 and x=2. What does this tell you about the graph of this quadratic function?
a. The parabola crosses the x-axis at x=-8 and x=2.
b. The parabola touches the x-axis only at and x=2.
c. The parabola does not touch or cross the x-axis.
d. The parabola crosses the x-axis at x=-8 and x=2 but you can ignore the zero x=-8 because it is negative.
The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).
What are zeros and graph of an quadratic equation?Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.
To find zeroes we can use quadratic formula that is
x = (-b ±√(b²-4ac))/2
Graph of the quadratic equation are points ( x , y(x) )
where y(x) = ax² +bx +c
when x= t is zero of quadratic equation ax² +bx +c = 0
then y(t) = 0
(t, 0) points are points on the x-axis.
Given an quadratic equation
x²+4x=-2x+16 has roots x =-8 and x =2
This can we written as x² +6x -16 =0
The graph of this quadratic equation is given by (x, y(x))
where y = x² +6x -16 which is a parabola
for x= -8 and x= 2 , y(-8) =y(2) = 0
Then (-8,0) and (2,0) are points on this parabola which are at x-axis
Therefore, the parabola y = x² +6x -16 crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.
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What is 9% of 31? Do not round, write the exact amount
Answer:
2.79
Step-by-step explanation:
What is the value of each digit in 28.6597
Answer:
1. 20 (tens)
2. 8 (ones)
3. 0.6 (tenths)
4. 0.005 (Hundredths)
5. 0.0009 (thousandths)
6. 0.00007 (ten thousandths)
i hoped this helped!
Step-by-step explanation:
The accepted method for representing both integer and non-integer numbers is the decimal numeral system.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given the decimal number is 28.6597. The value of each digit in the decimal number will be calculated as,
1. 20 (tens)
2. 8 (ones)
3. 0.6 (tenths)
4. 0.005 (Hundredths)
5. 0.0009 (thousandths)
6. 0.00007 (ten thousandths)
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What is the fraction to this equation 0.020
Pls help fast.
Answer: 1/50
Step-by-step explanation:
0.020 = 20/1000 = 1/50
eleven times one number is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers.
Answer:
haha...the first number is 55 & the second number is 102.
if am right, pls sende more of this question or even more complicated quest of this type.
expand and simplify (x-1)(x-3)
Answer:
x squared -3x-1x+4= x squared -4x+4
230.071 in expanded form
200+30+0+0.70+0.01
Hope it's right
Answer:
Expanded Notation Form:
200
+ 30
+ 0
+ 0.0
+ 0.07
+ 0.001
Expanded Factors Form:
2 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 7 × 0.01
+ 1 × 0.001
Expanded Exponential Form:
2 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 7 × 10-2
+ 1 × 10-3
Word Form:
two hundred thirty and seventy-one thousandths
Step-by-step explanation:
You start at (3,-2). You move down 1 unit and up 3 units. Where do you end?
Answer:
3,0
Step-by-step explanation:
The y coordinate goes down one unit to -3, then up 3 units to 0.
-40-2(3m+1/2)=7m-2 what does m equal
Answer: [tex]m[/tex] = −3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Expand.
−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2
Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.
−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2
Step 3: Add 6[tex]m[/tex] to both sides.
−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]
Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.
−41 = 13[tex]m[/tex] − 2
Step 5: Add 2 to both sides
−41 + 2 = 13[tex]m[/tex]
Step 6: Simplify −41 + 2 to −39.
−39 = 13[tex]m[/tex]
Step 7: Divide both sides by 13.
−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]
Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.
−3 = m
Step 9: Switch sides.
[tex]m[/tex] = −3
~I hope I helped you! :)~
In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.
Answer:
3 days.
Step-by-step explanation:
Based on the information provided we see that roughly 60% of the days in January have 6ft+ waves then we would need to use this value to calculate the number of days that are good for surfing. We calculate this by multiplying the number of days that you can surf by 60% using the equation below as r being the actual total amount of days....
r = 6 * 0.60%
r = 3.6
As we can see that there are roughly 3 days that see this amount of wave activity between the 6 chosen dates. We have to round down because we are talking about full days and 3.6 does not meet a fourth full day.
1. The video store rented 42 videotapes on
Monday, 35 on Tuesday, 51 on
Wednesday, and 32 on Thursday. What
was the average number of videotapes
initially rented per day from Monday to
Thursday if all were one-day rentals?
A. 37
B. 38
C. 40
E. 54
Answer:
C. 40
Step-by-step explanation:
average = (42 + 35 + 51 + 32)/4 = 40
Answer: C. 40
RrrrrrrRawrrrr
RAWRRR
Answer:
nsbdhdhshsnsnsbdbxbxb
Step-by-step explanation:
bshdhdhdhdhd
Solve the equation and enter the value of x below.
x + 29 = 49
X =
Answer:
x = 20
Step-by-step explanation:
x + 29 = 49
- 29 - 29
x=20
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?
Answer:
T=78 feet (Tennis court)
360 feet (Football Filed)
Step-by-step explanation:
4T+48 = T+282
The length of the football field is 360 feet.
The length of the tennis court is 78 feet.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.
And, It is also 282 feet longer than a tennis court.
Let the length of the tennis court = x
So, The length of the football field = 48 + 4x
Here, The length of the football field is 282 feet longer than a tennis court.
So, We get;
⇒ 48 + 4x = 282 + x
⇒ 4x - x = 282 - 48
⇒ 3x = 234
⇒ x = 78
Thus, The length of the football field = 48 + 4x
= 48 + 4×78
= 48 + 312
= 360 feet
The length of the tennis court = x
= 78 feet
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Write 3/4 cup per 1/2 serving as a unit rate
Answer: Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has = 3/4 cup
1 serving will have = 3/4 1/2 = 3/4 x 2/1 = 6/4 = 6 ÷ 2/ 4 ÷ 2 = 3/2 = 1 1/2cups
One-fourth of a number is 22. Find the number.
Answer:
5.50
Step-by-step explanation:
I am smart
whats 8989898 x 675 lol
Answer: 6068181150 lol
Step-by-step explanation:
9998799098
Step-by-step explanation:
idrk
Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)
9514 1404 393
Answer:
y = 2/3x -23/3
Step-by-step explanation:
In a version of point-slope form this is ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
Expanding this, we have ...
y = mx +(k -mh) . . . . slope-intercept form
For the given point and slope, the equation is ...
y = 2/3x +9 -2/3(2)
y = 2/3x -23/3
Answer:
can you provide more information
Step-by-step explanation:
What property is this an example of ... 56 + 82 = 82 + 56?
Answer:
Inverse equations
Step-by-step explanation:
Answer: Commutative Property
Step-by-step explanation:
a + b = b + a
Is the relation represented in this table a function? Helppp
What is the result when 4x3 + 4x² + 13x + 6 is divided by 2x + 1?
Answer:
2x^2+x+6
Step-by-step explanation:
if the 4x3 meant 4x^3, then im pretty sure this is the correct answer
Need help with this problem
Answer:
y = -3x + 8
I've done the steps in the photo
Hope it helps (｡･ω･｡)
Answer:
y = - 3x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)
m = [tex]\frac{5+16}{1-8}[/tex] = [tex]\frac{21}{-7}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 5 ) , then
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = - 3x + 8 ← equation of line
Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.
Answer:
x is all real numbers.
Step-by-step explanation:
The domain of a function is a set of all real numbers.
I NEED HELP RIGHT NOW!!! PLEASE!
what is the value of 5 in 0.459
Answer:
Place value= hundreds place
or, 0.05
In the figure shown, t || X and k l w and m23 = 20° Choose the list which includes all of the other angles that measure 20°
1615
13 14
1\2
43
k
11 10
129
5 6
87
w
0 A 1
B. 1, 5, 7
C. 1. 14. 16
0 D. 1.5. 7. 9, 11, 14, 16
Answer:
D. 1, 5, 7, 9, 11, 14, 16
Step-by-step explanation:
The following angles has the same measure as <3 = 20°:
m<7 = m<3 (corresponding angles are congruent)
m<5 = m<3 (alternate interior angles are congruent)
m<1 = m<3 (vertical angles are congruent)
m<14 = m<3 (corresponding angles are congruent)
m<16 = m<3 (alternate exterior angles are congruent)
m<9 = m<14 = m<3 (corresponding angles are congruent)
m<11 = m<9 = m<3 (vertical angles theorem and corresponding angles theorem)
Therefore, angles labelled D. 1, 5, 7, 9, 11, 14, and 16 all have the measure of 20°.
for a walkathon a sponsor committed to give you a flat fee $5 plus $2 for every mile m you walk.
A.write an expression for the total amount you will collect from your sponsor at the end of the walkathon
B. then evaluate your expression for 20 miles walked
How do you write 31 billon in scientific notation
Answer:
3.10E+10 (3.10 x 10 10)
Step-by-step explanation:
If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
Answer:
a² - b²
Step-by-step explanation:
We can recognize (a + b)(a - b) as a difference of squares.
Step 1: Write expression
(a + b)(a - b)
Step 2: FOIL (Expand)
a² - ab + ab - b²
Step 3: Combine like terms
a² - b²
It’s due tomorrow please someone help
Answer:
15a is 32oz 18c is 10
Step-by-step explanation:
I WILL MARK BRAINLEST I NEED THIS NOW THOUGH...
Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)
Hint: 1 find slope y-y/x-X
2. Use first point for writing equation (2, 3)
Show Your Work
Answer:
Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)
The slope is 7-3/5-2
So the answer is 4/3
Hint: 1 find slope y-y/x-X
2. Use first point for writing equation (2, 3)
Show Your Work
Step-by-step explanation: