When x = 2,what is the value of y for the equation – 3x + 2y = 10?
Answer:
y=x+5
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{y = 8}}}}[/tex]
☪ What is the value of y for the equation given below when x = 2 ?
-3x + 2y = 10☪ Step - by - step explanation :
[tex] \sf{ - 3x + 2y = 10}[/tex]plug the value of x ( i.e 2 )
➳ [tex] \sf{ - 3 \times 2 + 2y = 10}[/tex]
Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.
➳ [tex] \sf{ - 6 + 2y = 10}[/tex]
Move 6 to right hand side and change it's sign
➳ [tex] \sf{2y = 10 + 6}[/tex]
Add the numbers : 10 and 6
➳ [tex] \sf{2y = 16}[/tex]
Divide both sides by 2
➳ [tex] \sf{ \frac{2y}{2} = \frac{16}{2}} [/tex]
➳ [tex] \boxed{ \sf{y = 8}}[/tex]
——————————————————
✏ Now, let's check whether the value of y is 8 or not !
✑ Verification :
[tex] \sf{ - 3x + 2y = 10}[/tex]
→ [tex] \sf{ - 3 \times 2 + 2 \times 8 = 10}[/tex]
→ [tex] \sf{ - 6 + 16 = 10}[/tex]
→ [tex] \sf{10 = 10}[/tex]
L.H.S = R.H.S ( Hence , the value of y is 8 . )
——————————————————
☞ Additional Info :
✒ Sign rules of addition and subtraction of integers:
The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division of integers :
Multiplying or dividing positive integers gives a positive integer.Multiplying or dividing positive integer by any negative integer gives a negative integer.Multiplying or dividing a negative integer by a positive integer gives a negative integer.Multiplying or dividing a negative integer by a negative integer gives a positive integer.✒ Rules for solving an equation :
If any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ツ
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An object is thrown into the air. The equation for the object's heights at
time t seconds after launch is H(t) = -4.9t2 + 13.4t + 24.9, where H is in
meters.
Missing Part of the Question:
- The time required for the rocket to reach its maximum height
- The maximum height of the rocket
Answer:
a. Time to reach maximum height is 1.37 seconds
b. Maximum Height = 34.1 metres
Step-by-step explanation:
Given.
H(t) = -4.9t² + 13.4t + 24.9
Solving (a): Time taken to reach maximum height.
A quadratic equation is:
f(x) = ax² + bx + c
Where
a = -4.9
b = 13.4
c = 24.9
This required time is represented by the vertex and is calculated as thus:
t = -b/2a
Substitute values for b and a
t = (-13.4)/(2 * -4.9)
t = -13.4/(-9.8)
t = 13.4/9.8
t = 1.37 (approximated)
Hence the time to reach maximum height is 1.37 seconds
b. Maximum height
Here, we simply substitute 1.37 for t in
H(t) = -4.9t²+ 13.4t + 24.9
Maximum Height = -4.9 * 1.37² + 13.4 * 1.37 + 24.9
Maximum Height = -4.9 * 1.8769 + 13.4 * 1.37 + 24.9
Maximum Height = -9.19681 + 18.358 + 24.9
Maximum Height = 34.06119
Maximum Height = 34.1 metres (approximated)
Help ASAP!!!! Please will mark brainiest
Answer:
is the first one
Step-by-step explanation:
Find the value of x and give a reason for the relationship between the angles
Answer:
x = 19
Step-by-step explanation:
(5x + 2)° + 83° = 180°
✍️Reason: both are linear pair angles. Linear pair angles are supplementary.
Solve for x
5x + 2 + 83 = 180
5x + 85 = 180
Subtract 85 from both sides
5x = 180 - 85
5x = 95
Divide both sides by 5
x = 95/5
x = 19
If you earn $134 in 8 hours, how much do you earn per hour?
Answer:$16.75
Step-by-step explanation:
what is 12x12+3405-345+78-3?
Brainliest
Answer:
Dont know thanks me!!!
Step-by-step explanation:
Answer:
3279
Step-by-step explanation:
math
if i get off my online classes at 11:11 and get back on at 12:26 how much free time do i have?
Answer:
1 hr and 45 mins
Step-by-step explanation:
12:26-11:11 or 115, so an hour and 45 mins.
Hope this helps :D
Answer:
75 min
Step-by-step explanation:
I did 49+26 because from 11:11 to 12 theres 49 min and from 12 to 12:26 theres 26 min
what is an equation of the horizontal line that passes through, (5,-7)?
Aidan had 13 tropical fish and gave 8 of them to his brother then Aidan bought 6 more from the pet store each fish cost $9.45 how many fish does Aidan have now
Answer:
11 fishes
Step-by-step explanation:
Answer:27
Step-by-step explanation: add all the answers
Hai's teacher writes the equation 3x - 4 = 2(x + 3) + x. Hai concludes that the
equation has infinitely many solutions. Is Hai correct? Explain.
Answer:
Hai is incorrect, there is no solution to this equation.
Step-by-step explanation:
1.) Expand.
3x-4=2x+6+x3x−4=2x+6+x
2.) Simplify 2x+6+x2x+6+x to 3x+63x+6.
3x-4=3x+63x−4=3x+6
3.) Cancel 3x3x on both sides.
-4=6−4=6
4.) Since -4=6−4=6 is false, there is no solution.
Therefore, this equation has no solution
Christa is saving for a new tablet. It costs $70.45, including tax. She has already saved $35. How much more does she need to save?
Answer: Christa would need to save $35.45.
Step-by-step explanation:
70.45 - 35 = The amount Christa needs to save
70.45 - 35 = 35.45
please help me:)
For problems 13-19, transcribe the following expressions: (Write it out.)
Example: z + 4 = z plus 4
13. xy
14. 7/t - 4
15. 22 + t 2
16. 51 - x
17. x – y^2
18. 36/12 + 12
19. ab - 16
Can someone help me with my algebra?
Answer:
C. -3
Step-by-step explanation:
You can do this using two different methods.
First, slope is written rise over run, or y over x. We can find two points and count how much we need to rise and run. The graph already includes the points (2,-3) and (-1, 6), which we will use. If you carefully look at the graph, you can see that if you start from the point (2,-3), you can rise 9 and run -3 to get to the point (-1, 6), which brings me to the next step. As I stated in the beginning, slope is written rise over run. Therefore, the slope is 9/-3, which simplifies to -3, answer choice C.
Another way you can do this is subtracting the y's and subtracting the x's in the same order. The y's go over the x's, and is basically written as a fraction. For this method, we still need two points. We will use the same points as above and listed on the graph, points (2,-3) and (-1, 6). The y's are -3 and 6, and the x's are 2 and -1. Now, subtract.
-3-6 =-9=-3
2-(-1)= 3
As you can tell, both methods of solving for slope worked, and the answer is choice C.
I hope this helps you!! Have a great day ^^
Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?
Answer:
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
Step-by-step explanation:
Total birds = 313
Let
trumpeter swans = t
sand-hill cranes = s
chickadees = c
dusky grouses = d
t = 15 + s
c = 2d
d = 2t
t + s + c + d = 313
(15+s) + s + 2d + d = 313
15 + s + s + 2(2t) + 2t = 313
15 + 2s + 4t + 2(15+s) = 313
15 + 2s + 4(15 + s) + 30 + 2s = 313
15 + 2s + 60 + 4s + 30 + 2s = 313
105 + 8s = 313
8s = 313 - 105
8s = 208
s = 208 / 8
= 26
s = 26
t = 15 + s
= 15 + 26
= 41
d = 2t
d = 2(41)
= 82
c = 2d
c = 2(82)
= 164
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
write an equation to represent the linear relationship in the table
Answer:
I think
Y=129x-75
Step-by-step explanation:
Sorry if it's wrong I am not as good at math like I was before
Given
mZQPS = 47°
mZRPS = 3x – 38°
mZQPR = 72 - 95°
Find mZQPR:
Answer:
47
Step-by-step explanation:
-Ꮾb > 42 or Ꮞb + Ꮾ > 2
Answer:
b<-7 or b>-1
Step-by-step explanation:
explanation: -6b>42 turns into -42>6b then divide by 6 on both sides and you get -7>b
for the other inequality, you take 4b+6>2 and then subtract6 from both sides, from there you will get 4b>-4 and that will be b>-1
Three less than “x” is equal to 13.
Answer:X=16
Step-by-step explanation:
16-3=13
Answer:16
Step-by-step explanation:16-3=13
Need help with this please!!
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
Your mather bougth 20 kilos of mangoes and atis combined. Mango is P 60.00per kilos and atis is P 40.00 per kilos.If she paod P 1000.00 for 20 kilos, how many kilos of each kind mather bought A.)Ifx is number of kilos mango and number of kilos of atis then the eguation is ? B.) Eguation for the cost of fruits. C.) The system of eguations are ? D.) Solve by any method. E.) Check if your result will satisfy the problem.
Answer:
A) [tex]x+y=20[/tex]
B) Cost function is: [tex]3x+2y = 50[/tex]
C) [tex]x+y=20[/tex], [tex]3x+2y = 50[/tex]
D) [tex]x=10, y=10[/tex]
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = [tex]x[/tex]
Let number of kilos of atis bought = [tex]y[/tex]
Total number of kilos bought = 20
A) [tex]x+y=20[/tex]
Cost of mango per kg = 60
Cost of mango for [tex]x[/tex] kg = [tex]60x[/tex]
Cost of atis per kg = 40
Cost of mango for [tex]y[/tex] kg = [tex]40y[/tex]
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
[tex]60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)[/tex]
C) System of equations are:
[tex]x+y=20[/tex] ...... (1)
[tex]3x+2y = 50[/tex]...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
[tex]x = 10[/tex]
By equation (1):
[tex]\Rightarrow y =10[/tex]
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
[tex]3\times 10 +2\times 10[/tex] = 50 = RHS
Yes, the result satisfies the equations.
Answer:
What is it?
Step-by-step explanation:
Calculate the rate of change for the following data:
x y
-1 5
2 -4
7 -19
10 -28
-3
4
-9
6
Answer:
Step-by-step explanation:
The answer is -3
i just took the quiz and got it right
The rate of change for the given data is -3. Therefore, option A is the correct answer.
The coordinates from the given data are (-1, 5) and (2, -4).
What is rate of change and initial value of a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Here, (x1, y1)=(-1, 5) and (x2, y2)=(2,-4)
Rate of change = (-4-5)/(2+1)
= -9/3
= -3
The rate of change for the given data is -3. Therefore, option A is the correct answer.
Learn more about the rate of change and initial value here:
https://brainly.com/question/8223651.
#SPJ2
PLEASE HELP i don’t understand
Answer:
29.7
Step-by-step explanation:
y = 2.7x + 2.7
y = 2.7(1) + 2.7 = 5.4
y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1
y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8
y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5
y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
[tex]\approx \frac{11}{40}[/tex]
Step-by-step explanation:
Juice squeezed from first orange = [tex]\frac{4}{17}[/tex] = 0.235
Juice squeezed from second orange = [tex]\frac{3}{10}[/tex] = 0.3
Juice squeezed from third orange = [tex]\frac{9}{20}[/tex] = 0.45
Juice squeezed from fourth orange = [tex]\frac{3}{11}[/tex] = 0.27
Juice squeezed from fifth orange = [tex]\frac{7}{15}[/tex] = 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 [tex]\approx \frac{11}{40}[/tex]
Therefore, to make it 2 cups of orange juice for the family, about [tex]\approx \frac{11}{40}[/tex] cups of more juice is required.
Answer:
1 5/6
Step-by-step explanation: this is what i got from doing the math. please correct me if I'm wrong
The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1996 his card was worth $5.71 The value has increased by $1.98 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2002 ?
Answer:
Step-by-step explanation:
The number of years between 1996 to 2002 will be:
= 2002 - 1996
= 6 years
The relationship relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of:
y = 5.71 + 1.98x
where x = 6 years
y = 5.71 + 1.98(6)
y = 5.71 + 11.88
y = $17.59
The value of the card in 2002 is $17.59.
The relationship between x and y isn't proportional in this case.
What is the oblique asymptote
Answer:
y = x - 5
Step-by-step explanation:
I just got it right on edge2020
2/9x4/2=what. solve the equation
Answer:
0.44
Step-by-step explanation:
2/9 = 0.22
4/2 = 2
answer = 0.22 x 2
answer = 0.44
Answer:
4/9
Step-by-step explanation:
2/9 × 4/2
⇒ 2×4/9×2
⇒ 8/18
⇒ 4/9
hope this helps you!
cosA - sinA / cosA + sinA= sec2 A - tan2A
Answer:
please mark me brainlist
Step-by-step explanation:
SEC2A -TAN2A
1/COS2A - SIN2A/COS2A
1-SIN2A/COS2A
1-2SINACOSA/COS^2A-SIN^2A
COS^2A+SIN^2A-2SINACOSA/COS^2A-SIN^2A
(COSA-SINA)*(COSA-SINA)/(COSA-SINA)*(COSA +SINA)
(COSA -SINA)/COSA+SINA
The 24 girls in 20 boys to school gym clothes have to be split into groups for a team building activity. If each group must be identical, what is the maximum number of groups that can be made?
Answer: 4
Step-by-step explanation:
Given: Total girls = 24
Total boys = 20
If each group must be identical, then the maximum number of groups that can be made = GCD(24,20) [GCD= Greatest common divisor]
Since 24 = 2 x 2 x 2 x 3
20 = 2 x 2 x 5
GCD(24,20)= 2 x 2 = 4
Hence, the maximum number of groups that can be made = 4
HURRY PLEASE IM BEGGING
identify the pairs of supplementary angles (multiple answers “check all that apply”)
Answer:
f
Step-by-step explanation:
HELP! I’m not even ahlf way doen!