Step-by-step explanation:
f(x) = a [x - (-2)] [x - (-1)] (x - 3)
with a ≠ 0.
f(x) = a(x + 2)(x + 1)((x - 3)
Use f(4) = 10 to find a.
10 = a(4 + 2)(4 + 1)(4 - 3) = 30a
a = 1/3
f(x) = (1/3)(x + 2)(x + 1)(x - 3)
A polynomial function with the stated properties is x³+7x²+7x-1=0.
What are the zeros of the polynomial function?The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.
Given that, the third-degree polynomial function with zeros of -5, -3, and 1, and a y-intercept of -14.
Here, x=-5, x=-3 and x=1
So, x+5=0, x+3=0 and x-1=0
Now, P(x)=(x+5)(x+3)(x-1)
P(x)=(x²+8x+15)(x-1)
P(x)=x²(x-1)+8x(x-1)+15(x-1)
P(x)=x³-x²+8x²-8x+15x-15
P(x)=x³+7x²+7x-15
y=x³+7x²+7x-15
y-intercept is -14, so -14=x³+7x²+7x-15
x³+7x²+7x-1=0
Therefore, a polynomial function with the stated properties is x³+7x²+7x-1=0.
To learn more about the polynomial function visit:
https://brainly.com/question/12976257.
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Which equation represents the relationship between x and y?
Answer:
y=x+3
Step-by-step explanation:
The slope is 1 and the y-intercept is (0,3).
a new car is purchased
sam stevens a mechanical engineer earns an annual salary of $74,500 what is his bi weekly salary
Please help
_____________
______
___________
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i cant see anything???????
1. Put the following equations into linear equation, slope intercept format. y-5x=10+x
In order to get slope-intercept form, we have to get the y alone. So we have to add 5x to both sides.
y-5x=10+x
y=10+x+5x
Now simplify.
y=10+6x
We need to switch the 10 and 6x around.
So the answer is y=6x+10
---
hope it helps
Answer:
slope intercept form y=6x+10.
use ma th wa y calculator to help you.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
The owner of a new restaurant is designing the floor plan, and he is deciding between two different seating arrangements. The first plan consists of 21 tables and 23 booths, which will seat a total of 155 people. The second plan consists of 21 tables and 19 booths, which will seat a total of 139 people. How many people can be seated at each type of table?
Answer and I will give you brainiest
Answer:
First one divide 155/21 second 139/21
Step-by-step explanation:
help me please!! ill mark brainliest
Answer:
B
Step-by-step explanation:
12x18x2= 432 So your answer will be 432
The ratio of two numbers is 4:7 .If the greater
number is 49, find the smaller one.
Answer:
28
Step-by-step explanation:
good luck
Answer:
17 I think hope it is right
Can anyone help me with this one please:)
Answer:
Look below
Step-by-step explanation:
So you know a point and the slope, now you can substitute the values of the point for the equation.
Answer: y = (5/2)x + 7
Step-by-step explanation:
Plug in given numbers into the following equation:
y = mx + b
Solve for b:
-3 = (5/2)(-2) + b
-3 = -10 + b
b = 7
Correct answer gets brainliest and 5 stars!!
Answer: A
Step-by-step explanation: There are 3 black stars and 4 striped stars. Therefore 4:3 is the ratio.
An item is regularly priced at $55. Scott bought it on sale for 35% off the regular price.
how much did scott pay
Answer:
$35.75
Step-by-step explanation:
.35 • 55
19.25
This is the amount off.
55-19.25
35.75
Answer:
19.25
Step-by-step explanation:
you set up a proportion x/55=35/100
you cross multiply the divide by the 100
then you subtract 19.25 from 55 which = 35.75
Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer in form (b)x. (2,2/3) and 3,5/9 The equation is f(x)=
Answer:
[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,\frac{2}{3})[/tex]
[tex](x_2,y_2) = (3,\frac{5}{9})[/tex]
Required
Write the equation of the function [tex]f(x) = ab^x[/tex]
Express the function as:
[tex]y = ab^x[/tex]
In: [tex](x_1,y_1) = (2,\frac{2}{3})[/tex]
[tex]y = ab^x[/tex]
[tex]\frac{2}{3} = a * b^2[/tex] --- (1)
In [tex](x_2,y_2) = (3,\frac{5}{9})[/tex]
[tex]y = ab^x[/tex]
[tex]\frac{5}{9} = a * b^3[/tex] --- (2)
Divide (2) by (1)
[tex]\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}[/tex]
[tex]\frac{5}{9}/\frac{2}{3} = b[/tex]
[tex]\frac{5}{9}*\frac{3}{2} = b[/tex]
[tex]\frac{5}{3}*\frac{1}{2} = b[/tex]
[tex]\frac{5}{6} = b[/tex]
[tex]b = \frac{5}{6}[/tex]
Substitute 5/6 for b in (1)
[tex]\frac{2}{3} = a * b^2[/tex]
[tex]\frac{2}{3} = a * \frac{5}{6}^2[/tex]
[tex]\frac{2}{3} = a * \frac{25}{36}[/tex]
[tex]a = \frac{2}{3} * \frac{36}{25}[/tex]
[tex]a = \frac{2}{1} * \frac{12}{25}[/tex]
[tex]a = \frac{24}{25}[/tex]
The function: [tex]f(x) = ab^x[/tex]
[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]
s = 112° find RTS
I need help with this I have an assignment due in two hours and I still cant figure it out
Answer:
34
Step-by-step explanation:
*A triangle has an interior angle of 180 degrees
We know that one of the angle is 112 degree
180 - 112 = 68 degrees
We also know that the triangle is an isosceles triangle which means both sides and both angles are the same ( we can determine that it's an isosceles because of the two lines)
68 / 2 = 34
R = 34 degrees
T = 34 degrees
S = 112 degrees
Which system of equations has a solution of approximately (0.7, –1.4)?
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question,
"Which system of equations has a solution of approximately (0.7, -1.4)?"
A). x - y = 2 and x + 2y = -2
B). x - 2y = -2 and x + y = 2
C). x - y = 2 and x - 2y = -2
D). x + y = 2 and x + 2y = -2
"If the given point (0.7, -1.4) is the solution of the system of equations, it will satisfy both the equations"
To check whether the statement given above is true or false we will substitute the values of x and y in the given equations,
A). x - y = 2
0.7 - (-1.4) = 2.1
≈ 2
x + 2y = -2
0.7 + 2(-1.4) = -2.1
≈ -2
True.
B). x - 2y = -2
0.7 - 2(-1.4) = 3.5
x + y = 2
0.7 - 1.4 = -0.7
False.
C). x - y = 2
0.7 - (-1.4) = 2.1 ≈ 2
x - 2y = -2
0.7 - 2(-1.4) = 3.5
False.
D). x + y = 2
0.7 - 1.4 = -0.7
x + 2y = -2
0.7 + 2(1.4) = 3.5
False.
2.Choose a solution statement and write a scenario to represent it. Then, modify the scenario so the resulting interpretation is one of the other four solution statements.
Answer:
top right
Step-by-step explanation:
Someone please help me I’m actually struggling so much rn.
Answer:
Step-by-step explanation:
okay don't feel bad, you actually got it right, let me help you with some holes!
You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1
the vertical change is -1 horizontal change is 3 so by rise/run=-1/3
-1/3 is the slope
for the second problem this is confusing but just read and try to analyze
vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)
The y intercept is the point where the line hits the y axis, so at point (0, 5)
The function is y=mx+b
m is the slope
b is the y intercept
so y=-1/3x+5
A person invested
$7,900 in an account growing at a rate allowing the money to double every 8 years. How much money would be in the account after 5 years, to the nearest dollar?
Answer:
12183
Step-by-step explanation:
13 POINTS 13 Points 13 POINTS 13 Points 13 POINTS 13 Points 13 POINTS 13 Points
Answer:
8
Step-by-step explanation:
because 16-8≈ 8Answer:
8 points
Step-by-step explanation:
17+36=z-37 what is z
Answer:
Its 90
Step-by-step explanation:
what the square of 8^2
Answer:
8^2 = 64
unless you mean 8^2's square root then it is 8
Step-by-step explanation:
Answer:
8^2 = 64
Step-by-step explanation:
Gavin’s unpaid credit card balance is $2103.23. His APR is 14.4%.
What is his new balance if he made one new transaction for $390?
OPTIONS:
A: $2016.10
B: $2128.47
C: $2518.47
D: $2796.10
Answer:
c
Step-by-step explanation:
XD
Answer: 2518.47
Step-by-step explanation:
New balance = unpaid balance+ new transactions+finance charge
Step 1.
Calculate the periodic rate= APR/12
14.4% to a decimal is .144
Periodic Rate: .144/12 = 0.012
Step 2.
Calculate the finance charge= Unpaid balance x periodic rate
Finance Charge: 2103.23 x 0.012= 25.23876
Step 3.
Calculate the new balance= unpaid balance+ new transactions+finance charge
New Balance: 2103.23+ 390 + 25.23876= 2518.46876
First to answer gets brainliest
Answer:
Your answer is A, or -200.
Since your slope is going down, you know that the number is going to be a negative value. Then, check where the line hits a direct point. You would notice that it hits every 200 number values, which means that your answer is A.
What is the measure of AngleSRT?
Triangle S R T. Angle S is 53 degrees and angle T is 48 degrees.
69 degrees
79 degrees
99 degrees
101 degrees
Answer:
Angle SRT is equal to 79 degrees
Step-by-step explanation:
The reason this is so is because for every single triangle all the angles must add up to 180 degrees. So take 180 minus angle T, and then minus angle S and you get 79.
Answer:
B
Step-by-step explanation:
just need to keep my streak up
When my phone is FULLY charged to 100% battery, I can stream video for 48 minutes. How long can I stream video when my battery is at: a) 50%? b) 25%? c) 20%? d) 10%? Show your thinking for using a tape diagram, double number line, or ratio table.
Answer:
50% is
Step-by-step explanation:
A display screen at the airport shows the arrival and departure information of flights. Which data type is suitable to show the arrival of a flight? How can you display a list of flights in the ascending order (latest departure first) of their departure time?
The
data type is suitable to show the arrival of a flight. The
operation can help display flights in the ascending order of their departure time.
Answer:a)24minutes b)12 minutes c)9.6minutes d)4.8 minutes
Step-by-step explanation:
x 50 x 25 x 20 x 10
___=_____ _____=______ _________=________ ____=_____
48 100 48 100 48 100 48 100
x(100)=48(50) x(100)=48(25) x(100)=48(20) x(100)=48(10)
100x=2400 100x=1200 100x=960 100x=480
__________ __________ __________ _________
100 100 100 100 100 100 100 100
x=24minutesat50% x=12minutesat25%x=9.6minutesat20% x=4.8minutesat10%
i need the range for this.
Answer:
(-3, 3)
Step-by-step explanation:
Answer:
x = ( 7 ,3 )
x'= ( -6 , -3 )
Step-by-step explanation:
hope it is helpful to you
You spent 1/3 of your birthday money on 6 video games. If each video game cost the same amount, what fraction of your birthday money did each video game cost?
(fractions)
Answer:
It should be 1/18
Step-by-step explanation:
Zero Product Property
Help asap
(n-5)(n+3)=0
PLS HELP HERE THE QUESTION: enter the fraction that is equivalent to the expression 1/5 + 1/5 + 1/5 2o0 points ASAP
Answer:
3/5
Step-by-step explanation:
1/5 + 1/5 + 1/5 is 3/5
add the 1 three times then don't add the denominator because it wont change in addition
Answer: 6/10
Step-by-step explanation:
1/5+1/5+1/5=3/5
3/5=6/10
X+7/2=-1
(Show all work)
Answer:
[tex]x + \frac{7}{2} = - 1 \\ x = - 1 - \frac{7}{2} \\ x = \frac{ - 2 - 7}{2} \\ x = \frac{ - 9}{2} \\ [/tex]
I hope this help you
Answer:
[tex]x = - \frac{9}{2} [/tex]
Step-by-step explanation:
(1. Subtract 7/2 From Both Sides
[tex]x = - 1 - \frac{7}{2} [/tex]
(2. Simplify -1 - [tex]\frac{7}{2} to - \frac{9}{2} [/tex]
[tex]x = - \frac{9}{2} [/tex]
Decimal Form: -4.5
Four points are labeled on the number line.
Answer:
What does it mean? Also I think the picture didn't go through
Step-by-step explanation:
But I found its L or Point Q -0.5
Sorry if this doesn't help ;-;
Have a nice day
Answer:
I don’t know
Step-by-step explanation: