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:
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:
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
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].
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
answer and work please
What are the steps to graphing y=-3x+1
Answer:
The equation is in the form of y = mx + b which make it really easy to graph.
m = the slope
b = the y-intercept
You can make the first point at the y-intercept.
Where x = 0 and y = 1, or plot the point ( 0, 1 ).
Next we use the slope to start plotting new points.
The slope is -3 which, in rise over run form, is [tex]\frac{-3}{1}[/tex]. Since -3 is negative we go down 3 units from the y-intercept and 1 to the right because it's positive. This makes a point at ( 1, -2 ). Then from that point go down 3 and 1 to the right again to get ( 2, -5 ).
We can continue using the slope to plot more points and then draw a continuous line through them to finish graphing the linear function.
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
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:
Martine spent LaTeX: \frac{2}{3}2 3 of her money on a book. She has $6.50 left. How much did she spend on the book?
Answer:
4.33
Step-by-step explanation:
Can someone please help
Answer:
2(3x-20)
Step-by-step explanation:
2(3x-20) that's your answer..
The scores on two standardized tests are normally distributed. The first test had a mean of 58 and a standard deviation of 6. The second test had a mean of 78 and a standard deviation of 5. What score would you need on the second test to equal a score of 66 on the first test? Give answer to the nearest whole number.
Answer:
84.67
Step-by-step explanation:
Given that :
First test:
Mean (m) = 58
Standard deviation (s) = 6
A score of 66 on the first test :
Z score (standardized score) :
Z = (66 - 58) / 6
Zscore = 1.3333
Second test:
Mean (m) = 78
Standard deviation (s) = 5
Using the Zscore pertaining to 66 in the first test :
Z = (x - m) / s
1.3333 = (x - 78) / 5
1.3333 * 5 = x - 78
6.66667 = x - 78
x = 6.6667 + 78
x = 84.67
Consider the isosceles triangle. left side (2x+8)units bottom of triangle (4x-10)units right side of triangle (2x+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Complete Question
Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Answer:
d. (8z + 6) units
Step-by-step explanation:
The formula for the Perimeter of a Triangle is :Side A + Side B + Side C
Hence,
(2z + 8)units + (4z - 10) units + (2z + 8)units
= (2z + 8 + 4z - 10 + 2z + 8)units
Collect like terms
= 2z + 4z + 2z + 8 - 10 + 8
= 8z + 6 units
The expression that represents the perimeter of the triangle is (8z +6) units
what is an equation of the line that passes through the poins (-6,2) and (-4,-1)
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Answer:
solving we get Solution set = {4,0}
Step-by-step explanation:
We are given system of equation:
[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]
Multiply eq(1) by 2 and eq(2) by -3
[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]
We get y=0,
Now finding x by putting value of y in eq(1)
[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]
So, solving we get Solution set = {4,0}
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!
What is the hypothesis in this conditional statement?
It is true that 7y - 5 = 9; thus, y = 2.
Answer:
yes
Step-by-step explanation:
heres why
Step 1: Add 5 to both sides.
7y−5+5=9+5
7y=14
then ima divide 14 by 7 which equals 2
14/7y =2
so its true
The histogram shows the heights in meters of trees in a certain section of a park. How many trees are less than 20 meters tall? A. 16, B. 9, C. 4, or D. 15
Answer:
The histogram shows the heights in meters of trees in a certain section of a park.
How many trees are less than 20 meters tall?
Answer: From the given histogram, we clearly see:
There is 1 tree with height less than 8 meters
There are 1 + 2 = 3 trees with height less than 12 meters
There are 3 + 2 = 5 trees with height less than 16 meters
There are 5 + 4 =9 trees with height less than 20 meters.
Therefore, the correct option is B. 9
Step-by-step explanation:
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
can someone please answer this question fast ?
the question is in the picture down
Answer:
Yes, Always
Step-by-step explanation:
If M is the midpoint of line KL, then M, K, and L are collinear.
As you notice in the diagram, to be collinear means part of the same line.
please mark brainliest
Answer:
Always
Step-by-step explanation:
I am not drawing a scech for you have a brain
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.
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
When solving a system of two linear equations
algebraically, how can you tell if the system has exactly one
solution?
Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
PLZ HELP, ILL GIVE BRAINLIEST
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
Step 4: x = twenty-three over seven
Step 1: He should have added 25 to each side.
Step 1: He should have divided both sides by −7.
Step 3: He should have divided both sides by −7.
Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by -7.
Step-by-step explanation:
He divided by 7 not -7.
Hope this helps. Pls give brainliest.
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
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:
Mikael runs with a speed of 3 m/s for 45 seconds. How far does Mikael run? 15 m 30 m 90 m 135 m
Answer:
Step-Distance = (speed) x (time)
(3 m/sec) x (45 sec) = 135 meters by-step explanation:
Answer:
The correct answer is D.) 135 m
Step-by-step explanation:
I just did the instruction on edge 2021 and got it right
Couldn't show it all but I need help
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
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.