−3x−9y=18
4x+3y=12
Answer:
x = 6 , y = -4
Step-by-step explanation:
Solve the following system:
{-9 y - 3 x = 18 | (equation 1)
3 y + 4 x = 12 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = 12 | (equation 1)
-(3 x) - 9 y = 18 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{4 x + 3 y = 12 | (equation 1)
0 x - (27 y)/4 = 27 | (equation 2)
Multiply equation 2 by 4/27:
{4 x + 3 y = 12 | (equation 1)
0 x - y = 4 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = 12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 24 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 6 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 6 , y = -4
Evaluate the expression 5c-2 for c=5.
help
Answer:
= 23
Step-by-step explanation:
(5) (5) - 2 ( multiply )
= 5 * 5 = 25
( subtract ) 25 - 2 = 23
I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)
(17)
Answer:
[tex]h(-6) = -457[/tex]
Step-by-step explanation:
Given the function
[tex]h(x)= 72 x-25[/tex]
Put [tex]h = -6[/tex] to in the function
[tex]h(x)= 72 x-25[/tex]
[tex]h\left(-6\right)=\:72\left(-6\right)-25[/tex]
[tex]=-432-25[/tex]
[tex]=-457[/tex]
Therefore,
[tex]h(-6) = -457[/tex]
(18)
Answer:
[tex]g(2)=25[/tex]
Step-by-step explanation:
Given the function
[tex]g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3[/tex]
[tex]g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3[/tex]
[tex]= 20 + 8 - 3[/tex]
[tex]= 25[/tex]
Therefore,
[tex]g(2)=25[/tex]
PLEASE HELP ILL MARK U AS THE BRAINLEIST
Answer:
Slope Rise/Run
count from one point to another by going up or down then left or right if is down is negative if is left is negative but two negatives equal a positive
Have a nice day/night HAPPY THANKSGIVING!!!
Step-by-step explanation:
3(2x+5) distributive property
Answer:
6x+15
Step-by-step explanation:
Just do 3 times 2 so 6
Then 3 times 5 so 15
Five friends ate lunch together. They each paid the same amount the total cost of all five meals was $51.94 which included a 6% sales tax, what was the cost of one meal before tax was added?
Given:
Total number of friends = 5
Total cost of all five meals = $51.94
Sales tax = 6%
To find:
The cost of one meal before tax was added.
Solution:
Let x be the cost of all five meals before tax.
Then, Amount of tax = 6% of x
According to he question,
[tex]x+\dfrac{6}{100}x=51.94[/tex]
[tex]x+0.06x=51.94[/tex]
[tex]1.06x=51.94[/tex]
Divide both sides by 51.94.
[tex]x=\dfrac{51.94}{1.06}[/tex]
[tex]x=49[/tex]
So, the cost of all five meals before tax is $49.
Divide this cost by 5 to get the cost of one meal before tax was added.
[tex]\dfrac{49}{5}=9.8[/tex]
Therefore, the cost of one meal before tax was added, is $9.8.
41) A freight train traveled to New York and back. On the trip there it traveled 18 mph and on the return trip it went 15 mph. How long did the trip there take if there turn trip took six hours?
Answer:
3.5 hours so basically ur very smart and beautiful/handsome if asked this question and my God bless u and ur family and ur brain
Somebody help me with these 3.
Answer:6 ture 7 false 8 true Step-by-step explanation:
The answers you have selected i believe are correct
Step-by-step explanation:
6) True
7) False
8) True
The mean temperature for the first 4 days in January was -3°C.
The mean temperature for the first 5 days in January was -2°C.
What was the temperature on the 5th day?
Answer:
2°C
Step-by-step explanation:
5 × ( - 2 ) - 4 × ( - 3 ) = - 10 + 12 = 2
The temperature on the 5th day is 2°C .
-(x-10)=7
Solve and Explain.
Answer:
you need to solve for x
Step-by-step explanation:
the ez way for me is by flipping it so now it is -(7-10)=x and 10 -7=3
Answer:
-7=3
Step-by-step explanation:
Hope this helps :D
Help please I don’t know the answer to this
Answer:
ima just say 10 and 6 my G I'm kinda dumb but u could try it
Answer:
5pt=10cups
24qt=6gal
Step-by-step explanation:
5*2=10
24/4=6
why did my dog have diarrhea when it ate a strawberry?
Answer: I don’t know, because strawberries are seen as good for dogs and it provides them with extra vitamin c. Maybe he/she just didn’t like it or it didn’t sit well in the stomach.
Answer: Sometimes a dog may be allergic to a certain food. Vomiting, diarrhea and skin problems may be symptoms of an allergic reaction. Consult your veterinarian if any of those occur. Introduce only one type of fruit at a time to your dog. Hope this helps... Stay safe and have a great weekend...
Plz mark me brainliest... Hope this is what you are looking for...
:D
Zeno jumped 8 meters. Then he jumped half as far again (4 meters). Then he jumped half as far again (2 meters). So after 3 jumps, he was 8 + 4 + 2 = 14 meters from his starting place.
a. Zeno kept jumping half as far again. How far would he be after 4 jumps?
14/2 = 7
7/2 = 3.5
3.5/2 = 1.75
1.75/2 = 0.875
9514 1404 393
Answer:
15 meters
Step-by-step explanation:
Zeno's last jump was 2 meters, so another jump half as far adds 1 meter to the 14 m total.
After 4 jumps, Zeno would have jumped 15 meters from his starting place.
__
Comment on the question
The given distances give a total "after 3 jumps." The question asks for a total "after 4 jumps." It is not clear whether that is 4 jumps total, or 4 more jumps. In the above, we have assumed it is 4 jumps total.
Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days. Each day they found 9 shells. How many fewer shells did they find this year than last year?
Answer:
Step-by-step explanation:
Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63
Number of shells found this summer: 63
Number of shells found fewer this year than last year: 152 - 63 = 89
Hence, Jon’s family found 63 fewer shells than last year
Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
Let x be the number of shells they find this year than last year.
The value of x can be found as follows:
x = 152 - 7×9
x = 152 - 63
x = 89 shells
Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
Learn more about the arithmetic operation here:
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a. Write the equivalent fraction for 66%
b. Write the equivalent decimal for 89%.
Answer:
66/100 (or simplify to 33/50), 0.89
Step-by-step explanation:
16 cm
128°
16 cm
26°
26°
28 cm
What triangle is this called
Answer:
Obtuse Isosceles Triangle
Step-by-step explanation:
Find the slope of the line.
Answer:
4
Step-by-step explanation:
Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]
[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
Learn with an example
A triangle has angle measurements of 121°, 35°, and 24°. What kind of triangle is it?
acute
right
obtuse
Answer:
Obtuse
Step-by-step explanation:
because 121
Find the Value of x if the perimeter of the figure below is equal to it's area.
Answer:
2x + 5 = 3
Step-by-step explanation:
2x + 5 = x = -2 + 5
x = 3
What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?
Answer:
55
Step-by-step explanation:
the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 5y² + 4x
To calculate the value of expression at x = 2.5 and y = 3
Substitute the value of x and y in the expression:
=> 5y² + 4x
=> 5* 9 + 4 * 2.5
=> 45 + 10
=> 55
therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.
Learn more about expression here:
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Think about a moment when you felt stressed. Share how were you able to recognize that you were stressed? ( Can you guys help my math teacher asked us this but i really don't have any stressful moments)
Answer:
Ok, I'm actually really stressed right now. My crush asked me to the mid-semester dance, but I turned down his twin to go with my friends. I know them both REALLY well, and now I don't know what to do! My besties are pressuring me to say "YES" and I really want to, but it'll break my crush's twin's heart. And again, I know them both REALLY well! STRESSFUL TIMES! :)
Which of the following is in the solution set of the inequality x + 13 < 9?
A 22
B. -22
C. 4
D. -4
Answer: B.x = -22
x + 13 < 9
⇔ x < 9 - 13
⇔ x < -4
=> x ∈ {-∞; -4}
=> x = -22
Step-by-step explanation:
Answer:
Step-by-step explanation:
x + 13 < 9
x < - 4
(B). - 22
how many ways can you choose steak,fish, or chicken if you can only choose two meats?
Answer:
Steak and Fish
Steak and Chicken
Fish and Chicken
Step-by-step explanation:
These are the possible choices:
Steak and Fish
Steak and Chicken
Fish and Chicken
You can double-check this by looking at each meat, and making sure it was paired with both other types of meat.
I Hope That This Helps! :)
The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
circumference=
π*d
3.14x32
=100.48
PLEASE HELP MEEEEEEEEEEE
Answer:
y=-4x+1
Step-by-step explanation:
m=-4
h=1
Answer:
Step-by-step explanation:
b is the y intercept. Start with b. The graph shows that the point (0,b) is (0,1)
So far what you have is y = mx + 1
Now you have to deal with m
m = (y2 - y1)/(x2 - x1)
m = (1 - 0)/(0 - -1/2) = 1 /0.5 = 2 Use your calculator for this.
So the line is y = 2x + 1
As you move into the shaded area y > 2x + 1
I reproduced the graph to show that pointed the arrow in the right way. You can try it to see if it works by trying a couple of points. y should work out to be greater than 2x + 1
LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.
Answer:
25.2 feets
Step-by-step explanation:
Given that:
Rectangular shaped living room has the dimension:
21 feets by 14 feets
Length of diagonal :
Using Pythagoras :
A² = B² + C²
Diagonal² = 21² + 14²
Diagonal = √(441 + 196)
Diagonal = √637
Diagonal = 25.238
Diagonal = 25.2 feets ( nearest tenth)
Evaluate the expression below if m=-4, n= 3, and p=12
Answer:
26
Step-by-step explanation:
m=-4
n=3
p=12
m^2n+9p/√np
-4^2*3+9*12/√3*12
16*3+108/√36
48+108/√36
156/6
=26
(01.02 LC)
Solve
3x - 15
= 4x
2
Ox= 11
Ox=6
Ox= -3
Ox= -15
I need help
Match the vocabulary word with the correct definition.
Answer:
supplementary angles-either of two angles whose sum is 180°.
transformation- a change made to a shape or object
scalene triangle- a triangle with no equal sides
similar triangles-the same shape but not necessarily the same size
semi-circle- and arc measure up to 180 degrees
I hope this is good enough: