Answer:
See below
Step-by-step explanation:
Part AThe graph is attachedPart B|2x - 4| = mx + 1It has only one solution when the line mx + 1 is parallel to one part of |2x - 4|.
As per graph, we see m = 2 makes it parallel to y = 2x - 4. This is the only solution.
---------------------------
Now, as I understand, you are looking for 2 solutions instead of one. It means the line mx + 1 will have 2 points of intersection with the line |2x - 4|.
One of those solutions is attached as well, where m = 1. And you may get many more options for this.
oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. what was the total average speed
90 miles + 120 miles = 210 total miles
1.5 hours + 3 hours = 4.5 total hours.
Average speed = total distance / total time
Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour
The total average speed for Oliver is 42 miles per hour
Given the following data:
Distance A = 90 milesDistance B = 120 milesTime A = 1.5 hoursTime B = 3 hoursTo find the total average speed:
First of all, we would determine the total distance and total speed:
[tex]Total \; distance = Distance\;A + Distance\;B\\\\Total \; distance = 90+120\\\\Total \; distance = 210\;miles[/tex]
[tex]Total \; time = Time\;A + Time\;B\\\\Total \; distance = 1.5+3\\\\Total \; distance = 4.5\;hours[/tex]
Mathematically, the average speed is given by the formula:
[tex]Average\;speed = \frac{Total\;distance}{Total\;time}[/tex]
Substituting the parameters into the formula, we have;
[tex]Average\;speed = \frac{210}{4.5}[/tex]
Average speed = 42 miles per hour.
Read more: https://brainly.com/question/17742679
I am a quadrilateral with all four sides congruent. My all interior angles are congruent. The sum of my interior angles is 360°. My area is equal to the square of my length. I am?
What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
28.26 cm
O
141.3 cm3
O
28.26 cm3
O 141.3 cm
Answer:
141.3 cm³
Step-by-step explanation:
V=πr2h=π·32·5≈141.37167cm³
Answer
Volume ≈ 141.37cm³
The scale on a map is 2cm =70 miles. If the distance between two cities measure 5.8cm on the map what is the actual distance
Answer:
203cm
Step-by-step explanation:
I think that's the answer bc 70divided by 2=35
35x5.3 =203cm
Find the value of this expression if x = 1 and
y=-7.
xy
-9
Answer:
the answer is 7/9............
given..
expression is x^2y/-9
value of x=1
value of y=-7
then.... putting value of x and y in the given equation...
we get .
={1^2*(-7)}/-9
={1*(-7)}/-9
=(-7)/-9
=7/9
Step-by-step explanation:
x²y/-9
1²(-7)/-9
-7/-9
7/9.
hope this helps you.
(T^3 - T)/a = b make T the subject of the formula
(t^3-t)/a=b because a t the simple of questions
35 divided by 8693 long division or decimal form thank u
Answer:
0.004026228
Step-by-step explanation:
[tex]\frac{35}{8690} \\\\[/tex]
we would add zeros past the decimal point to the 35 to get
35.0000/8690
then 8690 goes into 35000 4 times and so on so forth until you get the answer 0.004026228
its easier to explain with the long division form where you can show the subtraction and carrying completely
Can someone help with number 4 please
Answer:
.(0,4,3,1,2,5)..............
Don is 6 feet tall. At a given time of day, he measures his shadow to be 10 feet long.
At the same time, he measures the shadow length of a nearby tree to be 38 feet. How
tall is the tree?
Round your answer to the nearest whole foot.
Answer:
Ok, so with this problem, you would start with the equation 6/10=x/38.
Then, cross multiply:
38(6)=10x
After, you would:
38 x 6 = 228
Then:
228/10
Lastly:
x=22.8m which when rounded equals 23 ft.
which expression is equivalent to ([tex](x^{2} )^3[/tex]
[tex]x^{8}[/tex]
[tex]x^{6}[/tex]
[tex]x^{5}[/tex]
2
f(x) = -x2+x+6
-2
a
-1
4
0
b
1
6
2
с
a=
b =
C=
please help meeeeeeeee
Answer:
3.32 dollars/gallon
Step-by-step explanation:
Simply divide the cost by its corresponding amount in gallons
15.77 ÷ 4.75 = 3.32
19.92 ÷ 6 = 3.32
etc etc
Graph the line with slope -1/3 passing through the point (2, 1).
Answer:
Step-by-step explanation:
y = mx + b
y = -x/3 + b
1 = -2/3 + b
b = 5/3
y = -x/3 + 5/3
10 + 10+ 10 = 4x
What does x equal?
Answer:
x=7.5
Step-by-step explanation:
10+10+10=4x
30=4x
x=7.5
Answer:
x=7.5
Step-by-step explanation:
First you would simplify:
30=4x
Next isolate x:
30/4=x
again, simplify:
7.5=x or, 7 1/2=x
Suppose that an individual has a body fat percentage of 17.6% and weighs 139 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.
Answer:
24.5 pounds
Step-by-step explanation:
0.176*139= 24.5
If l || m, find the value of each missing variable(s).
Answer:
12
Step-by-step explanation:
13x-21=5x+75
8x=96
x=96/8=12
Answer:
x=12
Step-by-step explanation:
Since the 2 lines are parallel we can use the rules of transversals. These 2 angels are alternate side interior. This means that they are congruent and have the same measurement. Because they have the same measurement, we can set them equal to each other and solve for x.
First, set the expressions equal to each other13x-21 = 5x+75
Next, add 21 to both sides13x = 5x+96
Then, subtract 5x from both sides8x = 96
Finally, divide both sides by 8x=12
Question
Francie rode her bike for 2.5
hours at 12 miles per hour. How far did she ride?
Answer:
30 miles
Step-by-step explanation:
2.5 h
12 miles per hour
12x2.5=30
Hey , can you help please and thanks
Answer:
13/4 gallons per bucket or (as a mixed number) 3 and 1/4
Step-by-step explanation:
a gallon is made up of 4 quarts
so 13 qt/bucket* 1 gal/4 qts = 13/4 gal/bucket This label is because, since the quart labels are on opposite sides of the slash or division line this means we can cancel them which is why I multiplied it by 1 gal/4 gts instead of 4 qts/1 gal because even though both are true, one would cancel and one wouldn't.
Kiaya recorded the distance she rode her bike during four different workouts. She rode the same number of kilometers per hour during each workout.
Answer:
d
Step-by-step explanation:
What is 6% of 90? Helpp
Answer:
54
Step-by-step explanation:
6/100 = x/90
6×90=540
540/100=54
Place the numbers in order from greatest to least.
Answer:
C
Step-by-step explanation:
0.528 is the smallest number and C is the only one that starts with it
The total weight limit for a truck is 100,000 lb. The truck weighs 36,000 lb empty. What is the most that the truck's load can weigh?
Answer: 64,000} lbs
Step-by-step explanation: hope it helps ! <3!
Frida owed
$75
on
her credit card. Then she charged
$21
more. What was her new
balance?
Find the quotient of 2 2 3 and 3 1 2 Give your answer as a fraction in its simplest form.
The correct answer is: " [tex]\frac{16}{21}[/tex] " .
_______
Step-by-step explanation:
" [tex]2\frac{2}{3}[/tex] ÷ [tex]3\frac{1}{2}[/tex] " =
" [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex] " ;
_______
" [tex]2\frac{2}{3} = \frac{[(3*2)+2]}{3} = \frac{(6+2)}{3} = \frac{8}{3}[/tex] " .
_______
" [tex]3\frac{1}{2} = \frac{[(2*3)+1]}{2} = \frac{(6+1)}{2} = \frac{7}{2}[/tex] " .
_______
→ " [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex] " ;
[tex]} = \frac{8}{3}[/tex] ÷ [tex]\frac{7}{2}[/tex] ;
Note that "dividing by a value" results in the same value as "multiplying by the reciprocal of that value" ;
The reciprocal of: " [tex]\frac{7}{2}[/tex] " ; is: " [tex]\frac{2}{7}[/tex] " ;
_______
[tex]= \frac{8}{3} *\frac{2}{7}= \frac{(8*2)}{(3*7)} = \frac{16}{21}[/tex] ; which cannot be further reduced as a fraction.
_______
The correct answer is: " [tex]\frac{16}{21}[/tex] " .
_______
Hope this is helpful!
Best wishes to you!
_______
= Homework: Lsn 30- Review For Midterm #1 QL 2. A wheel made 200 revolutions at 275 revolutions per minute. How many minutes did it rotate? 7 63 How many minutes did the wheel rotate? 7 191 (Type a whole number, proper fraction, or mixed number)
9514 1404 393
Answer:
8/11 minutes
Step-by-step explanation:
To find the time, divide the quantity by the rate:
(200 rev)/(275 rev/min) = (200/275) min = 8/11 min
The wheel rotated for 8/11 minutes.
-7/10 + ? = -2 9/20 =
Answer:
-7/10 -13/10=-2
Step-by-step explanation:
?=x
-7/10+x=-2
x=-2+7/10
x=-20/10+7/10
x=-13/10
?=-13/10
So: -7/10-13/10=-2
need help with What is F(x)=a*b^x please explain the steps
9514 1404 393
Answer:
33(1,6)2f(x) = 3·2^xStep-by-step explanation:
The blanks you're to fill in explain the steps.
The y-intercept is the value of the function when x=0. It is where the graph crosses the y-axis.
f(0) = a·b^0 = a·1 = a
Reading the y-intercept from the graph, we see ...
The y-intercept is 3. The a-value of the function is 3.
__
The point when x=1 is ...
f(1) = a·b^1 = 3b
Reading the value from the graph, we find the point to be (1, 6). This means ...
3b = 6
b = 2 . . . . . . . divide both sides by 3
The point when x=1 is (1, 6). The b-value of the function is 2.
The equation of the function is f(x) = 3·2^x.
Which of the following is an infinite set?
A)The Set of numbers between 4 and 5
B){1,2,3,…………..1000}
C)The Set of positive integers less than 100
D)None of these
Answer:
The number of elements in a finite set A is denoted by n(A). Examples: If A is the set of positive integers less than 12 then. A = {1, 2, 3, 4, 5, 6, 7, 8, ...
4. (4)5 =
a. 12
b. 13
c. 14
d. 15
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex](4 {}^{3} ) {}^{5} [/tex][tex](4{}^{3 \times 5} )[/tex][tex]4 {}^{15} [/tex]therefore, the Correct choice is d) 15
Need helppppppppppppppppppppp
Answer: x = 45cm
Step-by-step explanation: 27/18 = 1.5
1.5 is your scale factor now do 30 x 1.5 and you will get 45