Answer:
exact form: 2 ^3√2
Step-by-step explanation:
Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality that relates the number of slices, x, to the number of calories, y?
A3.5x+1008y
Step-by-step explanation:
The value 5 is an upper bound for the zeros of the function shown below.
f(x)= x4 + x3 – 11.x2 – 9x + 18
A. True
B. False
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
[tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex]
We know the rational zeros theorem such as:
if [tex]x=c[/tex] is a zero of the function [tex]f(x)[/tex],
then [tex]f(c) = 0[/tex].
As the [tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex] is a polynomial of degree [tex]4[/tex], hence it can not have more than [tex]4[/tex] real zeros.
Let us put certain values in the function,
[tex]f(5) = 448[/tex], [tex]f(4) = 126[/tex], [tex]f(3) = 0[/tex], [tex]f(2) = -20[/tex],
[tex]f(1) = 0[/tex], [tex]f(0) = 18[/tex], [tex]f(-1) = 16[/tex], [tex]f(-2) = 0[/tex], [tex]f(-3) = 0[/tex]
From the above calculation results, we determined that [tex]4[/tex] zeros as
[tex]x = -3, -2, 1,[/tex] and [tex]3[/tex].
Hence, we can check that
[tex]f(x) = (x+3)(x+2)(x-1)(x-3)[/tex]
Observe that,
[tex]for x > 3[/tex], [tex]f(x)[/tex] increases rapidly, so there will be no zeros for [tex]x>3[/tex].
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
Step-by-step explanation:
A
1. X2+7X-8
I need help ASAP right answers only
Answer:
What r u asking to find. Show the directions
Step-by-step explanation:
Answer:
(x-1) (x+8)
Step-by-step explanation:
Use the sum-product pattern:
x^2+7x-8
x^2+8x-x-8
Common factor from the two pairs:
x^2+8x-x-8
x(x+8)-1(x+8)
Rewrite in factored form:
x(x+8)-1(x+8)
Solution:
(x-1) (x+8)
Write a linear function f with f(4)=−3 and f(0)=−2.
Answer:
f(x)=-1/4x-2
Step-by-step explanation:
m=-3-(-2)/4-0=-1/4= slope
b=y-intercept=-2,
so f(x)=-1/4x-2
A linear function f with f(4)=−3 and f(0)=−2 is
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Given :
a linear function f with f(4)=−3 and f(0)=−2.
f(0)=-2. It means y intercept is -2
Linear equation of a line is given by y=mx+b
where m is the slope and b is the y intercept
y intercept b is -2
Lets find out slope m . Lets use f(4)=-3 that is when x=4 the value of y is -3
[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]
Now we replace in the equation of line y=mx+b
[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]
Replace y with f(x) to get linear function
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Learn more: brainly.com/question/19065330
Which value of y
y
makes the equation 3(y−6)=42
3
(
y
−
6
)
=
42
true?
Answer:
20
Step-by-step explanation:
[tex]3(y - 6) = 42 \\ \\ y - 6 = \frac{42}{3} \\ \\ y - 6 = 14 \\ \\ y = 14 + 6 \\ \\ y = 20[/tex]
Help me find BE please.
Answer:
BE = 6
Step-by-step explanation:
Fact regarding the centroids of a triangle.
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, thus
BD = 2DE, that is
4 = 2DE ( divide both sides by 2 )
DE = 2
Thus
BE = BD + DE = 4 + 2 = 6
Brenton is a phone sales specialist who makes $33,000 per year plus an $8 fee for each sale he makes. If Brenton makes 15 sales per week, what are his annual earnings?
Answer:
Brenton's annual earnings are $39,240.
In Triangle JKL, <J is congruent to <L
What is the measure of <L
Answer:
∠L = 33.9°Step-by-step explanation:
∠K = 180 - 67.8
= 112.2°
∠J = ∠L = 180 - 112.2
2
∠J = ∠L = 33.9°
A student solved the problem below by first dividing 20 by 10. What mistake did the student make?
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
step by step answer don't us em for points bc if udo ill speak to moderators on u
Answer:
around 66% of their games
Step-by-step explanation:
So if we add 20 and 10 we get 30 which is the total amount of games played. We know that the team won 20 of the 30 games which we can reduce to 2/3. 2/3 is equal to 66.66 but most people just say 66% or you can round it up to 67%
Hope I helped!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using the equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second y=-16x^2+235x+133
Answer:
Step-by-step explanation:
Given tq equation of the height reached by the rocket as y=-16x^2+235x+133
The velocity of the object at its maximum height is zero
v = dy/dx = 0(at max height)
v =-32x +235
0 =-32x+235
x = 235/32
x = 7.34
Hence the rocket will reach its maximum height after 7.34seconds
Write a simplified expression for the area and perimeter of the figure.
a) The simplified expression for the perimeter is _____ units.
b) The simplified expression for the area is ______square units.
Answer: 4x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
Can someone tell me where to put the two points.
(0,7) , (7,8)
Y-intercept is at (0,7) and the slope is 1/7 so from the y intercept, go up 1 and over 7.
Multiply the trinomials.
(4x2-x-4)(2x?+x+12)
A. 8x4 + 12x3 + 4x2 - 6x - 48
B. 8x4 + 2x3 + 4x2 – 16x – 48
C. 8x4 + 12x3 + 39x2 - 6x - 48
D. 8x4 + 2x3 + 39x2 – 16x - 48
Answer:
C.) I believe
Step-by-step explanation:
PLEASE HELP, MARKING BRAINLIEST!!!!
If 30/t = 18/r, then t/r =
Answer:
30/t = 18/r
30 = 18t/r
30r = 18t
18t = 30r
18t/18 = 30r/18
t = 5/3r
--------------------
30/t = 18/r
30r = 18t/r
30r = 18t
30r/30 = 18t/30
r = 3/5 t
---------------------
r = 3/5t, t = 5/3r
Gym membership costs $20 to join and then $15 per month. Find the slope and y-intercept for the data.
slope:
y-intercept:
Answer:
slope: 15
y-intercept: 20
y=15x+20
Step-by-step explanation:
Proving the Sum of the Interior Angle Measures of a Triangle Is 180°
I already solved the problem on my own so here is the answer, and a free 20 points.
Answer:
thanks
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
The average distance between the Earth and the Moon is 384 400 km.
Express it in standard form.
Answer:
[tex]3.84\times10^8\ m[/tex]
Step-by-step explanation:
It is given that,
The average distance between the Earth and the Moon is 384 400 km.
We need to express in in standard form.
1 km = 1000 m
It means,
384400 km = 384400000 km
or
= [tex]3.84\times10^8\ m[/tex]
Hence, the average distance between the Earth and the Moon is [tex]3.84\times10^8\ m[/tex].
What’s a swimmer's favorite kind of math? Dive-ision!
Hope your having a great day!!!
Answer:
I hope you're having a great day too! And thanks for the joke :)
Step-by-step explanation:
You have 20 coins. There are all either a quarter or a dime. The value of the coins is $3.65.
You have ____ quarter and ____ dimes
Answer:
11 quarters and 9 dimes
Step-by-step explanation:
because 11 quarters = $2.75
and 9 dimes = $0.90
$2.75
+ $0.90
____________= $3.65 with only 20 coins :)
Find the mean for Nate's test scores:
90, 84, 54, 78, 84
Answer:
78
Step-by-step explanation:
Add up all the numbers then divide by how many there are so, 90+84+54+78+84=390divided by 5= 78
answer and work please
Kevin brought 15 chicken wings for 31.50 how much would it cost for 7 wings.
Answer:
$14.70
Step-by-step explanation:
31.50/15=2.10
2.10*7=14.70
Can someone please help
Answer:
2(3x-20)
Step-by-step explanation:
2(3x-20) that's your answer..
Zach lives in Salina, Kansas. Gina lives 45 miles east in Junction City, Kansas. Gina and Zach both leave their houses at the same time, heading east on I-70. Zach drives 65 miles per hour and Gina drives 55 miles per hour. Zach wants to determine how long it will take before he catches up with Gina.
Answer:
4.5 hours
Step-by-step explanation:
Given that Gian lives 45 miles east of Salina where Zach lives.
At the same time, both start driving in the same direction towards the east, Zach drives 65 miles per hour and Gina drives 55 miles per hour.
Let A and B are the initial locations of Zach and Gina respectively, after t hours they meet at point C which x miles east of point B as shown in the figure.
Distance traveled by Gina = BC= x miles
As distance = speed x time, so
[tex]x= 55 \times t \cdots(i)[/tex]
Similarly, distance traveled by Gina = AC= (45+x) miles
As distance = speed x time, so
[tex]45+x= 65 \times t \\\\[/tex]
[tex]\Rightarrow 45+55t= 65 \times t[/tex] [ using equation (i)]
[tex]\Rightarrow 10t= 45 \\\\[/tex]
[tex]\Rightarrow t = 45/10 = 4.5[/tex] hour
Hence, the required time is 4.5 hours.
What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground? Nearest tenth of a degree.
Answer:
8.5 degreesStep-by-step explanation:
The set up will give a right angles triangle;
Given
The height of the ramp (opposite) = 6 foot
distance away along the ground = 40 feet (adjacent)
Required
Angle of depression theta
Using the TOA identity;
tan theta = opposite/adjacent
tan theta = 6/40
tan theta = 0.15
theta = tan^-1{0.15}
theta =8.53 degrees
hence the angle of depression to nearest tenth of a degree is 89.5 degrees
what is an equation of the line that passes through the poins (-6,2) and (-4,-1)
first to reply gets brainliest, only if u reply correct
Answer: D
Step-by-step explanation: If you plug in the formula, it works.
Answer:
D
Step-by-step explanation:
can someone please show their work for 4m-5(3m+10)=126
Answer: -16
Step-by-step explanation:
4m-15m-50=126
-11m=126+50
-11m=176
m=176/-11
m=-16
Yolanda Downey’s checking account balance was $182.63. She made a deposit of $218.55 and wrote checks for $25, $30.17, and $46.07. Record each transaction and keep a running balance on the worksheet. What was the new balance in Yolanda’s check register?
Answer:299.94
Step-by-step explanation:youre welcome
Couldn't show it all but I need help