Answer:
see below
Step-by-step explanation:
See the attachment.
The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.
The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.
The minimum value of the function is at x=2, so is ...
y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2
Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.
James ate 4/5 of his banana and Eric ate 7/9 of his banana. Who ate more of their banana?
actually it will be easier for you to know it if you convert it into decimal.
So
James = 4/5 = 0.8
Eric = 7/9 = 0.78
So James ate more
Answer:
James ate more of his banana
Step-by-step explanation: You would convert the fractions into the same denominator. And then you can compare.
36/45 35/45
Solve by graphing. Round each answer to the nearest tenth. 6x2 + 31x = 12
Answer:
-5.5 and 0.4 (first option in your list)
Step-by-step explanation:
Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex] and the expression [tex]y=12[/tex] and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)
From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.
Use the distributive property to remove the parentheses.
-2(5u - 3x-6)
Answer:
I think it would be: -10u - 6x 12
Step-by-step explanation:
(step 1) -2(5u - 3x-6) "First you need to times -2 by 5, 3 and -6"
that should give you -10u - 6x 12
Any one can help with this Venn Diagram question?.Please note that there is an another language, ignore except if you can understand it.
Answer:
(i) 30
(ii) 8
Step-by-step explanation:
Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.
Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.
We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.
Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.
We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.
Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).
We know that BMW got 36 votes, so:
20 + x + x + 2x = 36
20 + 4x = 36
4x = 16
x = 4
We know that Citroën got 34 votes, so:
20 + x + x + z = 34
20 + 4 + 4 + z = 34
28 + z = 34
z = 6
We know that Audi got 48 votes:
y + 2x + x + z = 48
y + 2(4) + 4 + 6 = 48
y + 18 = 48
y = 30
Finally, we know that the total number of voters is 100.
20 + 20 + x + x + 2x + y + z + n = 100
20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100
92 + n = 100
n = 8
Different Question. Please explain your answer
Answer:
(x-6)^2 + (y+8)^2 = 25
Step-by-step explanation:
The equation for a circle can be written as
(x-h)^2 + (y- k)^2 = r^2
where (h,k) is the center and r is the radius
The diameter is 10 so the radius is 10/2 =5
the center is 6,-8
(x-6)^2 + (y- -8)^2 = 5^2
(x-6)^2 + (y+8)^2 = 5^2
(x-6)^2 + (y+8)^2 = 25
can someone help me find this answer?
Answer:
(0, - 23 )
Step-by-step explanation:
Find the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-25}{-36+72}[/tex] = [tex]\frac{-24}{36}[/tex] = - [tex]\frac{2}{3}[/tex] , thus
y = - [tex]\frac{2}{3}[/tex] + c
To find c substitute any ordered pair into the equation
Using (- 54, 13 ) , then
13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept
Thus coordinates of y- intercept = (0, - 23 )
what is fifty five plus seventy two divided by three
Hey There!!~
Answer: 42
Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below. Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom. The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 127 divided by 3 calculated using Long Division is
Answer: 42 and Remainder 1.
Hope This Helps!!~
[tex]Itsbrazts[/tex]
Hey There!! ~
The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.
Hope It Helps!~ [tex]ItsNobody[/tex]~
2
How can the additive inverse be used to evaluate the problem below?
Vx
-3-(-6)
Because 3+(-6) is an equivalent expression, the answer is –3.
Because 3+(-6) is an equivalent expression, the answer is 3.
O Because -3+6 is an equivalent expression, the answer is -3.
Because -3+6 is an equivalent expression, the answer is 3.
An additive inverse of a number (x) is a number which when added to x results in being 0.
The given problem is -3 - (-6)
The additive inverse of -6 is 6
-3 -(-6) = -3 + 6 = 3
Communities property: 6-3 = 3
The answer is:
Because -3+6 is an equivalent expression, the answer is 3
What the Answer please?
Answer:
x = 151
Step-by-step explanation:
In the figure given, x is an exterior angle of the ∆.
According to the exterior angle theorem, x = the sum of the two opposite interior angles of the ∆.
One of the opposite angles measures 101°, while the second opposite angle equal 50°, since line l is parallel to m, alternate interior angles are equal.
Therefore, x = 101 + 50 = 151°
Graph the line whose x-intercept is 5 and whose y-intercept is -6.
Answer:
See attached image
Step-by-step explanation:
We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.
Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is [tex]\frac{6}{5}[/tex]. We also know the y-intercept is -6, so the equation is [tex]y=\frac{6}{5}x - 6[/tex].
Hope this helped!
1620( 1 + 0.08/365 )^1825
Answer:
2.416,65
Step-by-step explanation:
1620( 1 + 0.08/365 )¹⁸²⁵
1620( 1 + 8/100 / 365 )¹⁸²⁵
1620( 1 + 8/36500 )¹⁸²⁵
1620(9127 / 9125 )¹⁸²⁵
2.416,65
The length of a rectangle is 10m greater than the width. The area is 24m^2
Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2
Write a literal equation that represents x% of z is equal to y.
Answer:
zx - 100y = 0
Step-by-step explanation:
Since, x% of z is equal to y
[tex] \therefore \: \frac{x}{100} \times z = y \\ \therefore \: \frac{xz}{100} = y \\ \therefore \: zx = 100y \\ \therefore \: zx - 100y = 0[/tex]
The literal equation that represents x% of z is equal to y will be xz = 100y.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
x% of z is equal to y.
Then the literal equation that represents x% of z is equal to y will be given as,
x% of z = y
xz / 100 = y
xz = 100y
The literal equation that represents x% of z is equal to y will be xz = 100y.
More about the percentage link is given below.
https://brainly.com/question/8011401
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What is the difference between -3 and -12? -15 15 -9 9
Answer:
positive 9 hope this helped and a brainliest would be appreciated
Step-by-step explanation:
Ali and Steve share some sweets in the ratio 2:7
Steve gets 30 more sweets than Ali.
Work out how many sweets Steve gets.
Answer:
Step-by-step explanation:Let Ali's number of sweets be x
so let Steve's number of sweet be x + 30
hence the equation is x/(x + 30)= 2/7
or, 7x = 2(x + 30)
or, 7x= 2x +60
or,7x-2x=60
or, 5x=60
or, x=60/5
or, x=12
Alif gets 12 sweets
x+30
or, 12+30
=42
Ans:Steve gets 42 sweets.
Find the product: 377(10, 000).
Answer:
37, 700, 000
Step-by-step explanation:
377(10,000) = 377 x 10,000
= 37, 700, 000
an easy way to see it is to just add the number of zeros from 10,000 to 377. since there are four zeros, you put four zeros behind 377.
[it's not mathematical but it helps u see the answer better. and it only works with numbers that start with 1]
The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
(60,47,73)
Step-by-step explanation:
−6x+14<−28 AND 3x+28≤25
Answer: -1≥ x > 7 or x>7 and x ≤ -1
Step-by-step explanation:
-6x + 14 < -28
-14 -14
-6x < -42
x> 7
AND
3x + 28 ≤ 25
-28 -28
3x ≤ -3
x ≤ -1
x>7 and x≤ -1
Answer
x>7 and x<-1
Step-by-step explanation:
1a.) -6x+14<-28
2a.) subtract 14 from 14 and -28 (what you do to one you do to other)
3a.) you are left with -6x<-42
4a.) divide by -6 eache side of "<"
5a.) you HAVE to flip the sign when you divide by a negative
6a.) x>7
1b.) 3x+28<25
2b.) subtract 28 from 28 and 25 (what you do to one you do to other)
3b.) 3x<-3
4b.) divide both sides by 3
5b.) x<-1
Directions: Danny earns $12.25 per hour. He works 27 hours in a week. What is his
weekly wage? Round your answer to the nearest dollar.
Answer:
$331
Step-by-step explanation:
$12.25 per hour
27 hours
$12.25 • 27 = $330.75
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed
Answer:
d
Step-by-step explanation:
The speed is the independent variable because when it changes all the others change because it changed
The correct option is D. speed.
Given, As a person increases cycling speed, the rate of calorie burned, distance traveled, and energy also increase.
We have to find the Independent variable.
Since, Calories burned, distance traveled and Energy generated all are dependent on the speed of cycling. As the speed increases calories burned will be more.So speed is the independent variable here and the other variables all are dependent variable.
Hence the correct option is D. speed.
For more details follow the link:
https://brainly.com/question/11897796
Twice the difference of a number and 5 is equal to 9.
Use the variable w for the unknown number.
Answer:
n = 19/5
Step-by-step explanation:
2(n - 5) represents "twice the difference of a number n and 5" and is equal to 9:
2(n - 5) = 9.
Performing the multiplication:
2n - 10 = 9, and so
2n = 19, or n = 19/5
Answer:28 hope this helps
Step-by-step explanation:
please help quickly.
Answer:
Is the letter c
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
If the angles of a triangle add up to 180 degrees. The second angle is 15 degrees larger than the smallest angle. The third angle is 3 times as big as the smallest angle then 35 degree is the measure of the smallest angle.
The sum of three angles is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle.
What is angle sum property of triangle?The sum of three angles of a triangle is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle x=?
x+(x+15)+3x=180
2x+15+3x=180
5x+15=180
5x=165
Divide both sides by 5.
x=35
Therefore the smallest angle is 35 degree.
To learn more about angle sum property click here:https://brainly.com/question/21364160
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In a certain year, exactly 1,481 fewer women than men applied to U.S. medical schools. If 29,250 men applied, what was the total number of
people who applied to U.S. medical schools in this year?
Suson caves 5% of her allowance cach week.
This week her allowance was $10
How much money did she save?
Write it in an algebraic expression and evaluate
Answer:
(10 - .05)w
w= weeks she saves
Last year Frankie deli made an 11 foot 6 inch submarine this year they plan to make another one 2 feet and 3 inches longer how many feet long will this sandwich be?
Answer:
13 feet 9 inches
Step-by-step explanation:
11ft+2ft=13
6in+3in=9in
suppose point p(4,-9) is translated accoring to the rule (x,y). (X+3,Y-2) what are the coordinates of p? explain
Answer:
(7,-11)
Step-by-step explanation:
We are given the rule of: [tex](x,y)\rightarrow(x+3,y-2)[/tex].
Apply the rule to point P:
[tex](4,-9)\rightarrow(4+3,-9-2)\rightarrow\boxed{(7,-11)}[/tex]
P' should be (7,-11).
Hope this helps.
I have one half of a circle and I want to divide it by 1/6 how many pieces would I have
17. The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth
$2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include
in the mixed bag?
A. Cashews: 0.10 lb.; peanuts: 0.40 1b.
B. Cashews: 0.42 lb.; peanuts: 0.08 1b.
C. Cashews: 0.40 lb.; peanuts: 0.10 1b
D. Cashews: 0.27 lb.; peanuts: 0.23 1b.
E. Cashews: 0.23 lb.; peanuts: 0.27 1b.
F. Cashews: 0.08 lb.; peanuts: 0.42 1b
Answer:
E
Step-by-step explanation:
Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.
So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.
In other words, the total pounds as an equation is:
[tex]c+p=0.5[/tex]
Also, the price would be:
[tex]5.5c+2.3p=(p+c)2.8[/tex]
Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).
And we already determined that p+c is 0.5. Thus, substitute:
[tex]5.5c+2.3p=(0.5)(2.8)[/tex]
Simplify:
[tex]5.5c+2.3p=1.4[/tex]
Now, we can solve the system of equations. Isolate a variable from the very first equation:
[tex]c+p=0.5[/tex]
Subtract p from both sides:
[tex]c=0.5-p[/tex]
Now, substitute this into the equation earlier:
[tex]5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4[/tex]
Distribute:
[tex]2.75-5.5p+2.3p=1.4[/tex]
Combine like terms:
[tex]2.75-3.2p=1.4[/tex]
Subtract both sides by 2.75:
[tex]-3.2p=-1.35[/tex]
Divide everything by -3.2:
[tex]p=0.412875[/tex]
Now, find c:
[tex]p+c=.5[/tex]
Substitute:
[tex]c+0.421875=.5[/tex]
Subtract:
[tex]c=0.078125[/tex]
Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.
Our answer is E.
Cynthia typed 372 words in 6 minutes what's her typing rate in words per minute
Answer:
x = 62 words
Explanation:
→ We write the data problems.
372 words .............6 minutes
→ We must find: What's Cynthia typing rate in words per minute?
372 words .............6 minutes
x words ..................1 minute
x = 372 words * 1 minute/ 6 minutes
x = 62 words