Answer:
f(x) = x² - 10x + 27
Step-by-step explanation:
Given the x- intercepts of f(x) are x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are
(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is
(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then
f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= (x - 5)² - 2i² ← i² = - 1
= x² - 10x + 25 + 2
= x² - 10x + 27
inverse function of f(x)=100+4x
Answer:
[tex]f(x)^{-1} =\frac{x}{4} -25[/tex]
Step-by-step explanation:
This is the inverse function of f(x)=100+4x
An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?
Answer:
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Step-by-step explanation:
Total earned = 15,385
Adults = $25
Children = $15
Let
Adults = A
Children = C
The number of adults who attendee the show was 41 more than the number of children who attended the show
A = C + 41
25A + 15C = 15,385
Substitute
A = C + 41
25(C+41) + 15C = 15,385
25C + 1,025 + 15C = 15,385
40C + 1,025 = 15,385
40C = 15,385 - 1,025
40C = 14,360
Divide both sides by 40
C = 14,360 / 40
= 359
C = 359
Substitute C = 359 into
A = C + 41
A = 359 + 41
= 400
A = 400
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Corey is reading a graph of equivalent ratios. If one of the ratios is represented as (3, 5), which could be another ratio?
Answer:
another ratio is 3:5=6:10 or 9:15
Explanation:
3:5×2=6:10
3:5×3=9:15
Answer:
(9,15) aka C
Step-by-step explanation:
3 times 3 is 9 and so you multiply the same number to the y-coordinate. 5 times 3 is 15!
Solve and graph the inequality
Problem and solutions are below
Answer: D
Step-by-step explanation: The > points to the right so the line goes that way and, in order to get rid of the fraction you multiply 5 * -4 = -20 so
Z > -20
You have found a jackpot, say what ever you want
Answer:
haha
Step-by-step explanation:
doing this for points
Answer:
jackpot
Step-by-step explanation:
a cube has a volume 512 cubuc feet. what is the side length?
Answer:
The cube is a 8x8x8
so a side length is 8
Please help me with this.
Answer:
v=8
Step-by-step explanation:
12=12+v−8/2
12=12+1/2
v+−4(Distribute)
12=(1/2v)+(12+−4)(Combine Like Terms)
12=1/2v+8
Step 2: Flip the equation.
1/2v+8=12
Step 3: Subtract 8 from both sides.
1/2v+8−8=12−8
Step 4: Multiply both sides by 2.
2*(1/2v)=(2)*(4)
v=8
Write a linear equation given the graph
Answer: Y= 1/-1x+4
Step-by-step explanation: Y equals 1 over negative 1 x plus 4
What is the value of k?
M
115°
Y
Z
(4k+5)
(6k + 10)
Answer:
please add the image coz it's not clear
An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles, using this property we get, the value of k is: k = 10.
Here, we know that, an exterior angle is equal to the sum of the two opposite inside angles.
The picture shows an exterior angle of 115 degrees.
It's two opposite inside angles are the two equations.
This means:
(4k +5) + (6k+10) = 115
Combine like terms:
10k + 15 = 115
Subtract 15 from both sides:
10k = 100
Divide both sides by 10:
k = 100/10
k = 10
Hence, The value of k is: k = 10.
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complete question:
attached
PLEASE HELP MEEEEEE ILL GIVE MAX POINTS AND BRAINIEST TYSMMM <33333
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
Simplify completely: (3 - 5i)(6 + i)
Answer:
9+6i
Step-by-step explanation:
3+6=9
5+1=6
At a baking competition, 0.5 dishes were cooked by Room 102, 3/10 were cooked by Room 104, and 1/5 were cooked by Room 106. What fraction of the dishes were cooked by Rooms 102 and 104? Express your answer in the simplest form.
The fraction of the dishes were cooked by Rooms 102 and 104 is 4/5
Addition of fractionDishes cooked by Room 102 = 0.5 = 1/2Dishes cooked by Room 104 = 3/10Dishes cooked by Room 106 = 1/5Fraction of the dishes were cooked by Rooms 102 and 104 = 1/2 + 3/10
= (5+3) / 10
= 8 / 10
= 4 / 5
Therefore, the fraction of the dishes were cooked by Rooms 102 and 104 is 4/5 in the simplest form
Learn more about fraction:
https://brainly.com/question/11562149
2. Describe the graph of the line y = 15. .
Answer:
it is a horizontal line resting at 15 on the y axis
Step-by-step explanation:
because there is no x on the left side of the equation, it must be flat. it is 15, so that is where it lies
The graph of the function y=15 is the horizontal line resting at 15 on the y-axis
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the function y=15 is the horizontal line resting at 15 on the y-axis because there is no x on the left side of the equation, it must be flat. it is 15, so that is where it lies.
Therefore the graph of the function y=15 is the horizontal line resting at 15 on the y-axis. The graph is attached with the answer below.
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While playing football, John lost 4 yds, then gained 15 yds, then lost 4 yds. How many yards did he gain from the three plays?
Answe
Step-by-step explanation:
(03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 1 2 3 4
Output (y) 5 5 7 9
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
In the diagram shown below PS is perpendicular to RT and the two lines intercept at W. Ray WQ is drawn. Which of the following statements about angle pairs in incorrect?
Answer:
D. angle SWT and angle QWT are complementary
Step-by-step explanation:
The angles formed at W when the two lines, PS and RT, which are perpendicular to each other intercept at W are right angles.
Thus, let's analyse each given statements to see which is true or not true about the angle pairs formed:
Statement 1: "angle PWQ and angle QWT are complementary".
m<PWT = 90°.
m<PWQ + m<QWT = m<PWT (angle addition postulate)
m<PWQ + m<QWT = 90° (definition of complementary angles)
Therefore, statement 1 is CORRECT.
Statement 2: "angle PWR and angle TWP are supplementary".
m<PWR = 90°
m<TWP = 90°
m<PWR + m<TWP = 180° (definition of supplementary angles)
Therefore, statement 2 is CORRECT.
Statement 3: "angle RWQ and angle TWQ are supplementary".
<RWQ and <TWQ are angles on a straight line and are a linear pair.
m<RWQ + m<TWQ = 180° (definition of supplementary angles)
Therefore, statement 3 is CORRECT.
Statement 4: "angle SWT and angle QWT are complementary".
m<SWT = 90°
Therefore, m<SWT + m<QWT ≠ 90°
The sum of both angles does not give 90°. Therefore, statement 4 is INCORRECT.
Given g(x) = 4x−8, find g(1/2).
Answer:
4(1/2) = 2
2-8 = -6
-6 is your answer
hope this helps!
For finding g(1/2) you need to substitute the value of x= 1/2
Thus , g(1/2):
[tex] = 4 \times \dfrac{1}{2} - 8[/tex]
[tex] = 2 - 8[/tex]
= [tex]\red{\bold{\large{-6}}}[/tex]
Zeroes of p(x)=x^-2x-3 are
Answer:
x=3 x= -1
Step-by-step explanation:
(x-3)(x+1)
x-3=0. x+1=0
x=3 x= -1
Bryan has $15 to spend on taxi fare. The
ride costs $5 plus $2.50 per mile. How
many mile can Bryan go without spending
all $15?
Answer:
3 full miles; anything less than 4 miles
Step-by-step explanation:
5 + 2.50x = 15
subtract 5 from both sides
2.50x = 10
divide both sides by 2.50
x = 4
4 miles is how long he can travel by spending all $15
Anything less will cost him less than $15
Answer:
4 miles
Step-by-step explanation:
well we have a budget of 15$. We use 5$ for the ride so we have 10$ left. 10/2.5 is 4.
someone please answer asap
Answer:
alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior
Answer:
Corresponding angles, i.e they are in the congruent matching sides
If angle 2 = 48, determine the measure of angle 5.
Answer:
Angle 2 = 48
we are going to divide 48 by 2 to get the Angle 1
Angle 1 = 24
then Angle 5 = (5×24)
Angle 5 = 120
AACB = ADCE
ZB = 61°, ZC = 57°, and ZD = 2x
D
E
A
с
X = [?]
B
Answer:
x = 31
Step-by-step explanation:
Given that the triangles are congruent, then corresponding angles are congruent, then
∠ D = ∠ A
The sum of the 3 angles in a triangle = 180° , thus
∠ A = 180° - (61 + 57)° = 180° - 118° = 62°
Thus
2x = 62 ( divide both sides by 2 )
x = 31
On a 30-question test, Janice answered four-fifths of the questions correctly. Which of the following is the number of questions she answered correctly?
(1) 24
(2) 25
(3) 26
(4) 28
Hi!
Your answer should be: (4) 28.
Hope this helps!
Yours truly,
~~~PicklePoppers~~~??????????????????.?..
if 5y - 8 < 12, what is the maximum possible value of 10y ?
Answer: The maximum possible value of y is 30 ;)
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
PLZZZZZZ HELP I WILL. ARY YOU BRAINLIEST
Answer:
ITS THE FIRST ONE
Step-by-step explanation:
THE OUTPUTS ARE THE Y-VALUES
THE Y-VALUES ARE 4, -1, 3, -3
THEREFORE, THE ANSWER IS THE FIRST OPTION. {-3, -1, 3 4}
Please help! Solve for m in the mathematical formula y=m x+b.
Answer:
[tex]\frac{y-b}{x}[/tex]=m
Step-by-step explanation:
y=mx+b
-b -b
y-b=mx
[tex]\frac{y-b}{x}[/tex] = [tex]\frac{mx}{x}[/tex]
[tex]\frac{y-b}{x}[/tex]=m
0.02 divided by 924.3
Answer:
46215
Step-by-step explanation:
Explain while solving absolute value
inequalities, when should "and" be used and
when should "or" be used?
Answer:
Step-by-step explanation:
I have "and" but not "or"
"and" is when your talking about the decimal point for example:
1.2
one, and, two tenths
In 2005, MusicMart sold 14,550 CDs. In 2010, they sold 12,000 CDs. What is the rate of change in the number of CDs sold?
A) -2550 per yr B) -510 per yr C) -425 D) -2400 per yr
Answer:
B) -510 per yr
Step-by-step explanation:
2005 = 14,550 CDs sold
2010 = 12,000 CDs sold
Difference in years = 2010 - 2005
= 5 years
Difference in CDs sold = 12,000 - 14,550
= - 4,550
Rate of change in the number of CDs sold = change in the number of CDs / change in years
= -4,550 / 5
= -510 per year
The correct answer is B) -510 per yr