Step-by-step explanation:
Since -5, -3 and 1 are the zeroes of f(x),
(x + 5), (x + 3) and (x - 1) are factors of f(x).
=> f(x) = a(x + 5)(x + 3)(x - 1),
where a is a real constant.
We are given that when x = 0, f(x) = -45.
=> a(0 + 5)(0 + 3)(0 - 1) = -45
=> -15a = -45, a = 3.
Hence, f(x) = 3(x + 5)(x + 3)(x - 1)
= 3x³ + 21x² + 21x - 45.
Answer:
The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45.
(x+5), (x+3) and (x-1) are the factors of f(x).
Form : f(x)=a(x+5)(x+3)(x-1)
When f(x)=-45 and x=0, we get a=3
Equation of the cubic polynomial in standard form is :---
[tex]f(x) = 3(x + 5)(x + 3)(x - 1)\\ =3 ( {x}^{2} + 8x + 15)(x - 1) \\=3({x}^{3} + 8 {x}^{2} + 15x - {x}^{2} - 8x - 15) \\ =3({x}^{3} + 7{x}^{2} + 7x - 15)\\=\boxed{3{x}^{3}+21{x}^{2}+21x-45}[/tex]
3x³+21x²+21x-45 is the right answer.Given f(x) = (4 - x)”, what is the value of f(16)?
Answer:
Step-by-step explanation:
Plug in 16 for x. (4-16) then the answer is -12
Helllpppp!!!! i need halp with mafs
Answer:
Step-by-step explanation:
Vertical line should intersect the graph, which represent function, no more than once.
Answer:
(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)
Chang Knows one side of a triangle is 13cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5cm and 8cm
6cm and 7cm
7cm and 2cm
8cm and 9cm
Answer:
Option D: 8cm and 9cm. Is your answer.
Answer:
8 cm and 9 cm
Step-by-step explanation:
the two shorter sides must equal more than the longest side.
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.
A Caleb's experiment had 100 bacteria and Jenna's experiment had 250 bacteria.
B Caleb's experiment had 100 bacteria and Jenna's experiment had 2,500 bacteria.
C Caleb's experiment had 500 bacteria and Jenna's experiment had 500 bacteria.
D Caleb's experiment had 250 bacteria and Jenna's experiment had 500 bacteria.
Answer: B
Step-by-step explanation:
The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)
Given m||n, find the value of x.
t
>m
(8x-27)
(7x-4)
Answer:
x = 23
Step-by-step explanation:
(8x - 27) and (7x - 4) are corresponding angles and are congruent, so
8x - 27 = 7x - 4 ( subtract 7x from both sides )
x - 27 = - 4 ( add 27 to both sides )
x = 23
Answer:
x = 23
Step-by-step explanation:
1. Jenny and Gary bought some crayons and makers. Jenny bought 4 crayons and 5 markers for $6.71. Gary bought 5 crayons and 3 markers for $7.12. Find the cost of each.
Answer:
ons are in the crayon box.If there are 4 rows of 19 crayons,
Step-by-step explanation:
Pleaseeeee help thanks
Answer:
1 freedom of speech
2 bear arms mean that i can own and carry a gun to protect me, myself and my property.
3 search warent
4 the tar and feather used on blacks.
5 fouth
6 it is passed down to mayors
7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.
sorry bout my bad grammer
Step-by-step explanation:
Alex has $30,000 in his savings account that earns 10% annually.
Part A
How much interest will he earn in one year?
Interest = $____
Part B
If Alex spends 20% of the interest received on buying furniture for his new house, what amount did he spent on furniture?
Answer: $_____
need the answer asap!!!!! 63 points!!!!
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
g(x) = f(x +4) = 10^x+4
So the graph of the function g is the graph of function 4 units to the right
B is the answer
Ayla has 104 stuffed animals in her room. The ratio of teddy bears to cats is 5 to 3. How many teddy bears does she have?
Answer:
65 teddy bears
Step-by-step explanation:
Total stuffed animal = 104
Teddy bear : cats = 5 : 3
Total parts = 5+3 = 8
Number of teddy bears = [tex]\frac{5}{8}*104[/tex]
= 5 * 13
= 65
Answer:
she has 65 teddy bears
Step-by-step explanation:
if she has 104 stuffed animals and the ratio is 5/3 then to get the awnser you need 5/8
5/8*104
you get 65
HELP!! A,b,or C need it asap
Answer:
the answer is b
Step-by-step explanation:
Will Give Brainliest
Last week Jim’s gross pay was $1,248 working 40 regular hours and 8 overtime hrs at double pay.
What was Jim's regular hourly rate?
PLEASE ANSWER THIS IS URGENT PLEASE
Answer:
Step-by-step explanation:the answer to your question is 3/28
Answer:
3/28 or [tex]\frac{3}{28}[/tex]
Step-by-step explanation:
[tex]\frac{2}7}[/tex]÷[tex]\frac{8}{3}[/tex]
to divide fractions, flip the second one and multiply them.
[tex]\frac{2}{7}*\frac{3}{8}[/tex]
2 * 3 = 6
7 * 8 = 56
[tex]\frac{6}{56}[/tex]
simplify by dividing both sides by 2
[tex]\frac{3}{28}[/tex]
The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?
B: How much will you pay for the video game after the discount?
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint
formula, and solve the two equations for x and y.)
midpoint (-2, -16), endpoint (-7.-9)
Given:
One endpoint of a line segment = (-7,-9)
Midpoint of the segment = (-2,-16)
To find:
The other endpoint of the given line segment.
Solution:
Let (a,b) be the other endpoint of the given line segment.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using this formula, we get
[tex](-2,-16)=\left(\dfrac{-7+a}{2},\dfrac{-9+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-7+a}{2}=-2[/tex]
[tex]-7+a=-4[/tex]
[tex]a=-4+7[/tex]
[tex]a=3[/tex]
And,
[tex]\dfrac{-9+b}{2}=-16[/tex]
[tex]-9+b=-32[/tex]
[tex]b=-32+9[/tex]
[tex]b=-23[/tex]
Therefore, the coordinates of other endpoint are (3,-23).
Luke, Kira, and Ali each served 23 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution
Complete Question:
Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
A. Luke cut his cake into how many slices?
B. Kira cut her cake into how many slices?
C. Ali cut her cake into how many slices.
Answer:
A. 6 slices.
B. 9 slices.
C. 12 slices.
Step-by-step explanation:
Given the following data;
Number served by Luke = 4 slices
Number served by Kira = 6 slices
Number served by Ali = 8 slices
We would solve for the number of slices each of them divided their cakes into.
For Luke, serving 2/3;
[tex] \frac {4}{\frac{2}{3}} = \frac {4 * 3}{2} [/tex]
[tex] \frac {4}{\frac{2}{3}} = \frac {12}{2} [/tex]
[tex] \frac {4}{\frac{2}{3}} = 6 \; slices [/tex]
For Kira, serving 2/3;
[tex] \frac {6}{\frac{2}{3}} = \frac {6 * 3}{2} [/tex]
[tex] \frac {6}{\frac{2}{3}} = \frac {18}{2} [/tex]
[tex] \frac {6}{\frac{2}{3}} = 9 \; slices [/tex]
For Ali, serving 2/3;
[tex] \frac {8}{\frac{2}{3}} = \frac {8 * 3}{2} [/tex]
[tex] \frac {8}{\frac{2}{3}} = \frac {24}{2} [/tex]
[tex] \frac {8}{\frac{2}{3}} = 12 \; slices [/tex]
Therefore, it is possible because;
A. Luke cut his cake into 6 slices.
B. Kira cut her cake into 9 slices.
C. Ali cut her cake into 12 slices.
what is -2(3x^2-7x+4)+(x+1)(x-7)
Answer:
−5^2x2+8x−15
Step-by-step explanation:
Hope it helps!
Vanessa tried to solve an equation step by step.−12=4(f-6)
Step 1. -12=4f−24
Step 2. 12=4f
Step 3. 4=f
Find Vanessa's mistake.
It step 3 I got The same question on khan academy
What is the slope of the line that passes
through the points (-3,5) and (9, -1)?
Answer:
m=-1/2
hope this helps
Answer:
-1/2
Step-by-step explanation:
9+3=12 and -1-5=-6
-6/12=-1/2
PLS HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!!! 100 POINTS!!!!!!!!!
Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?
(3, -5)
(-5, 3)
(-5, -3)
(5, 3)
Answer:
(3, -5)!
Hope this helps! :D
8 is what percent of 400?'
Your answer
Answer:
2
Step-by-step explanation:
8:400*100 =
(8*100):400 =
800:400 = 2
The solution of the equation that 8 is what percent of 400 is 2, i.e. 8 is 2 percent of 400.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The equation of percentage can be calculated as:
Consider, the unknown variable as x,
According to the given data in the question,
[tex]8 = \dfrac{x}{100} \times 400[/tex]
The equation can be simplified as:
8 = 4x
Divide both side by 4 to get the value of x,
x = 2
The solution of the equation that 8 is 2 percent of 400.
Learn more about equations here :
https://brainly.com/question/14686792
#SPJ6
Find the slope of the ordered pairs (2,5) (4,13)
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]
SOLVE AND ILL MARK BRAINLIEST!!!
Answer:
Gabrielle, because she gets 16.2 miles per gallon, where as Jerimiah only gets 15 miles per gallon.
Step-by-step explanation:
i need help with a question
Answer: dp
Step-by-step explanation:
yall help please
Sandeep sat 11 tests in January 2020.
Each test was marked out of 60.
Here are his test results .
45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42
Find the interquartile range of these test results.
Given:
The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.
To find:
The interquartile range of these test results.
Solution:
We have, the set of data values.
45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42
Arrange the data in ascending order.
35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47
Divide the data in two equal parts.
(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)
Divide each parenthesis in two equal parts.
(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)
Here,
First quartile: [tex]Q_1=38[/tex]
Third quartile: [tex]Q_3=45[/tex]
Now, the interquartile range is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=45-38[/tex]
[tex]IQR=7[/tex]
Therefore, the interquartile range of these test results is 7.
Please answer this :):(:)
Answer:
the answer would be 3/40
Answer:
3/40
Step-by-step explanation:
Scale factor = 9/10*12 = 3/40
The graph of a linear function is shown on the grid.
What is the rate of change of y with respect to x for this function?
Answer:
Step-by-step explanation:
Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2
Help me pleaseeeee somebody ASAP
Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
table 1 has a total bill of $87.50 and leaves a 15% tip
table 2 has a total bill of $56.30 and leaves a 22% tip
table 3 has a total bill of $74.25 and leaves a 19% tip
determine which table leaves the largest tip and how much money she will make in the tips from the three tables
Billy's Bikes charges $9 an hour to rent a bike plus a $19 flat fee. If Ben
spends $73, how many hours did he rent the bike for?
Answer:
6
Step-by-step explanation:
Make an equation Set x as number of hour
19+9x=73
9x=54
x=6
Step-by-step explanation:
73-19 flat fee=54
54÷9=6 hrs
