Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other teams in the playoffs, with season average scores of 87, 92, and 119. Central City High has played 7 games with an average score of 91. What score range could they have in their eighth and last regular season game to have the second highest season average score in the tournament?
Answer:
99<x<315
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
edg. 2021
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35
Answer: 20.5
Step-by-step explanation:
subtract 0.05 from each answer until you get 20 terms then add those terms up
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240
Answer:
200
Step-by-step explanation:
100/250= 0.4
0.4* 200= 80
Can someone please actually help me with my math assignments
Which of the following values are solutions to the inequality
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
work out area of this semi circle with diameter 10
Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
Is 12 even or odd? Pick you choice
Answer:
Even
Step-by-step explanation:
What is the correct answer for both ?
Answer:
19. Option A
20. Option B
Step-by-step explanation:
cal d gradient B(4,-7), c(-6-5) and d two point find d gradient
Answer:
d = - 1/5
Step-by-step explanation:
slope form: m= y2-y1/x2-x1
m= -5-(-7)/-6-4
m= 2/-10
m= - 1/5
1/4(z 3z) 7=−z 1 please help with this ive been stuck
Answer:
z=0
Step-by-step explanation:
if the equation was 1/4(3z)7=-1z
1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?
Answer:
There are 4 possible scenarios where given relation could not be a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
Step-by-step explanation:
From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
What fraction of a metre is 20cm?
Answer:
1/5
Step-by-step explanation:
A metre is 100cm, thus
20cm/100cm= 1/5
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
Is this true or false? Ill give brainliest
i think true because 0,4 on there is correct and so is 2,0
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
What is the value of x? Please provide an explanation, thanks!
Answer:
x=97/5Step-by-step explanation:
let y be the opposite angle,
6x-11 + y = 180( sum of opposite angles)
y=180+11-6x
y=191 - 6x
thus, 81+x+5+191-6x=180(angle sum property)
-5x=-97
x=97/5A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
36x-2 + 34x+2 = 180 solve
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
[tex]x = \frac{18}{7} [/tex]
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
brainly.com/question/9695343
#SPJ6
Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined
Answer:
Zero
Step-by-step explanation:
it is to correct answer because I did this before and one of my classes also subscribe to my channel bye