a) 2
b) 2
c) 6
d) 15
e) 2
f) 3
How many solutions to y=2x-3 y=-x+3
Answer:
One solution, as there is only one intersection between these two lines.
x = 2, and y = 1 (point of interesection (2, 1) )
y = 2x-3
y = -x + 3
first step is to substitute the y of one equation into the other and solve for x.
- x + 3 = 2x - 3
___________
+x. +x
_____________
3 = 3x-3
_____________
+3 +3
____________
6 = 3x
_____________
÷3 ÷3
_______________
2 = x
______________
x = 2
_______________
We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.
x = 2 -> y = 2(x) - 3
2(2) - 3 = 4 - 3 = 1
y = 1
____________
x = 2 -> y = -(x) + 3
-(2) + 3 = -2 + 3 = 1
y = 1
You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answer:
9x
Step-by-step explanation:
You have to subtract both of the numbers and simplify it.
Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4
Answer:
n-2
Step-by-step explanation:
What represents 60=5 x 12?
Answer:
multiplication
Step-by-step explanation:
just a lil some some so please help me
Answer:
The answer to this is agree . Hope it helps.
Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?
Answer:
156 miles
Step-by-step explanation:
155.79-16.95=138.84
138.84/0.89=156
Explain to Alana why she might not want to blast her boss on social media just yet.
If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?
Answer:
It's the first one
Step-by-step explanation:
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?
Answer:
10:15
Step-by-step explanation:
w(x)=5/6x-3;w(x)=-18
Answer:
x = -18
Step-by-step explanation:
Step 1: Define
w(x) = 5/6x - 3
w(x) = -18
Step 2: Substitute and Evaluate
-18 = 5/6x - 3
-15 = 5/6x
x = -18
. If the difference between a number and its reciprocal is 24/5, find the number.
Answer:
The answer is 5/25 you just switch it
Answer:
number is 5
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus
n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]
Multiply through by 5n to clear the fractions
5n² - 5 = 24n ( subtract 24n from both sides )
5n² - 24n - 5 = 0 ← in standard form
(n - 5)(5n + 1) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 5 = 0 ⇒ n = 5
5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]
However, n > 1 , thus n = 5
That is the number is 5
The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh? *
Answer:
120 pounds
Step-by-step explanation:
15 boxes = 45 pounds
45/15= 3
1 box= 3 pounds
40 x 3 = 120
40 boxes would weigh 120 pounds
hope this helps :)
Answer: 120 lbs.
Explanation: One box weighs 3 pounds (divide 45 by 15). 3 times 40 equals 120. So the total weight is 120 pounds.
Plz mark brainliest:)
What is the solution to this equation?
2x + 3 = x − 4
Answer:
x = −7
Step-by-step explanation:
2x + 3 = x − 4
Subtract 3 from both sides of the equation
2x = x −7
Subtract x from both sides of the equation
x = −7
Answer:
X=7
Step-by-step explanation:
Step 1
Having all the
x
terms on one side of =
Subtract
2 x
from both sides
2 x − 2 x + 3 = 3 x − 2 x − 4
0 + 3 = x − 4
Swap round
x − 4 = 3
Step 2
Have just
x
on the left of =
Add
4
to both sides
x − 4 + 4 = 3 + 4
x = 7
Solve
13x - 15 = 12x + 16
Answer:
x = 31
Step-by-step explanation:
I will make the explanation easy for you to understand.
Step 1: Subtract 12x from both sides.
13x − 15 − 12x = 12x + 16 − 12x
x − 15 = 16
Step 2: Add 15 to both sides.
x − 15 + 15 = 16 + 15
x = 31
Hope it helps!!!
Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).
The midpoint is
Answer:
[tex]Midpoint = ( -1 , 4.5)[/tex]
Step-by-step explanation:
[tex]\frac{-3 + 1}{2}[/tex] [tex],[/tex] [tex]\frac{3+6}{2}[/tex]
[tex]\frac{-2}{ 2}[/tex] [tex],[/tex] [tex]\frac{9}{2}[/tex]
[tex]Midpoint = (-1, 4.5)[/tex]
Hope this helps
plz mark brainliest
The midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
The midpoint is calculated by using the formula:- ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2.
Given points are R(-3,3) and S(1,6). The midpoint of the given points are calculated as below:-
M = (-3+1 ) / 2 , ( 3 + 9 ) / 2
M = ( -1,4.5)
Therefore, the midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).
To know more about a midpoint follow
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choose the figures that are polygons
Answer:
I'm pretty sure figure A is the only one correct and also figure D
Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 8 84.5 676
Total 242 10389
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years
The product of negative three and a number is equal to the sum of the number and four.
-3x=x+4
-x
-4x=4
x=-1
x is equal to -1
Answer:
-3x = x + 4
umm yea! this is correct i checked it!
Yeah, I'm stupid.
Someone explain cause I'm not understanding
We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.
90 = 4v + 2 + 9v - 3
Now, let's solve for v. Combine like terms.
90 = 13v - 1
Add 1 to both sides.
91 = 13v
Divide both sides by 13
7 = v
What is the slope of the graphed line
Answer:
3/9 or 1/3
Step-by-step explanation:
change in y over change in x is the slope
youre going up 3 and right 9, so 3/9 which simplifies to 1/3
the perimeter of the pentagon below is 63 units. Find the value of x
Answer:
7
Step-by-step explanation:
2x+10+11+(x+2)+(3x-2)=63
2(7)+10+11+(7+2)+(3(7)-2)=63
x=7
7 is the value of x
What are sides of a pentagon with different sides ?
If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.
Given,
side 1 = 2x
side 2 = 10
side 3 = x+2
side 4 = 11
side 5 = 3x-2
Sum of all the sides of the pentagon,
2x+10+(x+2)+11+(3x-2)=63
2x+10+x+2+11+3x-2=63
6x+21=63
6x=63-21
6x=42
x=42/6
x=7
Read more about pentagon here :
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These steps were used to construct the perpendicular bisector of segment DE.
Which statement MUST be true?
PHOTO ABOVE
Answer:
haha imagine math
Step-by-step explanation:
Answer: MD=ME
Step-by-step explanation:
Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”
HELP ME PLEASE
after you spend this amount time on deductibles, co-payments, and co-insurance for in-network care and services, your health plan pays 100% of the costs of covered benefits
A. co-insurance
B. premium
C. policy
D. max out of pocket
Answer:
i think its co-insurance
Step-by-step explanation:
the percentage you must pay for care after you've met your deductible
When finding the slope, it is important to identify _____ coordinates.
A. estimated
B. exact
C. any
Answer:
b the exact coordinates
What is the lower quartile? (CAN ANYONE HELP:))
Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog
Answer:
1.434 miles
Step-by-step explanation:
if 1.5 miles isnt an option select 1 mile
What is the distance between the two endpoints in the graph below? If
necessary, round your answer to two decimal places.
(3,5)
O A. 13.46 units
B. 11 units
C. 10 units
66,-6)
D. 14.21 units
Answer:
14.21
Step-by-step explanation:
It's actually 14.21 on A p E x
On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.
Answer:
6720
Step-by-step explanation:
Can someone help me with this? Please-
Answer:
C
Step-by-step explanation:
Graph each system. Tell whether the system has no solution or infinitely many solutions.
x+ 2y= 10
2x + 4y= 10
Answer:
No solution, they will never meet at any point.
Step-by-step explanation: