Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
个,
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Answer:
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Step-by-step explanation:
the distance between -2,4 and 2,6
Can someone help me please
Answer:
Step-by-step explanation:
(h, k) = (4, 8)
(y - k) = a(x - h)²
(y - 8) = a(x - 4)²
y = a(x - 4)² + 8
plug in one of the x intercepts (or any other known point on the curve)
0 = a(2 - 4)² + 8
0 = a(4) + 8
a = -2
y = -2(x - 4)² + 8 fourth option.
Answer:
y= -(x-4)^2+8
Step-by-step explanation:
negative graph since the turning point is +ve 4..thus the equation will be (x-4)^2 the y axis is 8 units up therefore the above equation is the answer
I need help find the value of x
The slope of line
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
Answer:
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
Find the whole number equal to the fraction below. Enter your answer in the
space provided
Answer:
7
Step-by-step explanation:
42/6= 7
---
its a sort of memorization thing youll know when you do enough of them.
if not, you can divide by smaller parts.
3*2=6 so you can divide 42 by 2, and then 3 if that is easier
42/2
=21
then divide by 3 =7
Answer: 7
Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.
20 charecters lol pls solve
Answer:
-3x+12
Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x
OMG HELP RN I GIVE BRAINLIST
Which of the following correctly describes the solutions to the inequality?
A.
There are 5 solutions. The solutions are the numbers between 4 and 8.
B.
There are an infinite number of solutions. The solutions are all numbers less than 3.
C.
There are 6 solutions. The solutions are the numbers between -2 and 3.
D.
There are an infinite number of solutions. The solutions are all numbers greater than 3.
Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.
Answer:
112cm^3
Step-by-step explanation:
Formula for volume of a cone is:
[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
r = radius and h = height
To find the radius you divide the diameter by 2:
12.9 ÷ 2 = 6.45
Now substitute values into the formula:
[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]
Which equals 112cm^3
How to perform aerial math for following:
5.1 x 3.5 X 0.5+9.4
Help me with this plzzzzzzzzz
Answer:Hi
Step-by-step explanation:
PLS HELP ME
what is mZA?
Answer:
35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think
20% percent tip on 8 dollar
Answer:
9.60 dollars tip is $1.60
Step-by-step explanation:
The volume of a rectangular prism can be computed using the formula V = lwh.
What is the width of a prism that has a volume of 1664 cubic cm a length of 16 cm and a height of 8 cm?
11 cm
13 cm
26 cm
768 cm
Answer:
13cm
Step-by-step explanation:
substitute values we have into the formula:
1664 = 16 x w x 8
rearrange:
1664/16×8 = w
which equals 13
Answer:
13
Step-by-step explanation: just took the test :)
A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?
Answer:
(any real number, 5)
Step-by-step explanation:
Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)
A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.
Use this information to complete the statement. Round all answers to the nearest hundredth.
The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Answer:
0.59 and 41%
Step-by-step explanation:
Plato/Edmentum
The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
For this situation, the number of positive responses is 1486 out of a total sample size of 2500.
Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.
[tex]\hat p = \frac{x}{n}[/tex]
= [tex]\frac{1468}{2500}[/tex]
= 0.59
So, the approximate sample proportion is 0.59.
Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.
This value of the same as 41%.
So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Learn more about the sample proportion here:
https://brainly.com/question/33593792.
#SPJ4
Please I need help with this
help me plsssssssssssssssssssssssssss
Answer:
This answer would be c
Step-by-step explanation:
Can someone please explain this problem to me? i would really really REALLY appreciate it omg
Answer:
f(0) = 3
f(-2) = -15
Step-by-step explanation:
You just have to plug in the value in f(b) into the b of the equation.
So for f(0) --> 2(0)^3 - |0-4| + 7
2(0) - |-4| + 7
0 - 4 + 7 = 3
------------
for f(-2)
2(-2)^3 -|-2-4| + 7
2(-8) - 6 + 7
-16 -6 + 7 = -15
Using Converting The Percentages First Into Fractions, Determine The Following
a) 10% of 120
b) 25% of 16
c) 30% of 20
d) 40% of 25
e) 75% of 48
f) 60% of 140
g) 90% of 50
h) 12.5 of 32
Answer:
a)12
b)4
c)6
d)10
e)36
f)84
g)45
h)4
Plz help me i will give u 50pts^_^ and brainliest<3
Answer:
y/x^2=-2x+3
Step-by-step explanation:
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
Pls help! The question is: You are riding a bike up Elm Trail towards Deer trail. You plan to make a left turn on to Deer trail. What is the angle measure of the turn?
Answer:
110
Step-by-step explanation:
there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110
Answer:
110
Step-by-step explanation:
Which function does f(-1/2) ≠ -1
Answer:
anything but 2
Step-by-step explanation:
f(-1/2)
If you plug in 2, you'd get -1. But if you plug in other values, it won't be equal to -1.
Solve the following system of equations by elimination
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
{(23,4),(-3,8),(-25,-21),(20,13),(21,-14)} what is the domain and range
Answer:
Step-by-step explanation:
The domain: { - 25, - 3, 20, 21, 23 }
The range: { - 21, - 14, 4, 8, 13 }
(-1,-3); slope 5
PLEASE HELP
The larger I grow, the less you can see!
What am I??
Answer: The darkness is the correct answer
Step-by-step explanation:
As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.
identify a possible explicit rule for the nth term of the sequence 9, 17, 25, 33, 41
Answer:
The explicit formula for the nth term of the sequence is [tex]a_n=9+8(n-1)[/tex]
Step-by-step explanation:
Recall:
The explicit formula for a sequence is [tex]a_n=a_1+(n-1)d[/tex] where [tex]a_n[/tex] is the [tex]n[/tex]th term, [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference
Given:
First term --> [tex]a_1=9[/tex]
Common Difference --> [tex]d=8[/tex]
Substitute:
[tex]a_n=9+(n-1)(8)[/tex]
[tex]a_n=9+8(n-1)[/tex]
T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
coordinates of R?
Answer:
help
Step-by-step explanation: