Answer:
x = 2, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 4y = 18 → (1)
5x + 6y = 28 → (2)
Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x
15x + 20y = 90 → (3)
- 15x - 18y = - 84 → (4)
Add (3) and (4) term by term to eliminate x
2y = 6 ( divide both sides by 2 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(3) = 18
3x + 12 = 18 ( subtract 12 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Solution is (2, 3 )
Find the distance between X(-9,3) and Y(6,-4)
Answer:
[tex]d=\sqrt{274}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}[/tex]
Please answer step by step 3(2y-7)=
Answer:
Step-by-step explanation:
3(2y-7)=
Distribute
3 * 2y - 3 *7
6y - 21
Step-by-step explanation:
3(2y-7) = 6y-21
y = 21/6
y = 3
What is the value of n - 7 when n = 14?
21
2
7
9
Answer:
C) 7
Step-by-step explanation:
Plug in 14 for n in the equation.
n - 7
14 - 7
Subtract: 14 - 7 = 7
C) 7 is your answer.
~
Factor the trinomial:
3x2 + 13x + 12
Answer:
Step-by-step explanation:
(3x + 4)(x + 3)
3x^2 + 9x + 4x + 12
3x^2 + 13x + 12
Solve.
2(2z – 4) = 32
Answer:
Submit Answer
i need the answer, what is it? no explanation needed.
Answer:
9
Step-by-step explanation:
2(2z-4)=32
4z-4=32
4z=36
z=9
Round the decimal to the nearest whole number 5.8??
Answer:
6
Step-by-step explanation:
Because 5.8 is closer to 6 than it is to 5.
6
If you want to round to the nearest whole number, the answer would be 6. Remember, if the number right after the decimal is higher than 5, you want to round up, if the number is lower that 5, you will want to round down. I hope this helped!! :)
HELP!!!Find the measures of angles 1, 2, and 3. Show your work. Choose the correct measures of each angle. A. m∠1=77° m∠2=103° m∠3=77° B. m∠1=77° m∠2=103° m∠3=76° C .m∠1=75° m∠2=103° m∠3=75°
angle 2 = 103° ( vertically opposite angles )
angle 1 = angle 3
103° + 103° + 2 ( angle 1 ) = 360° ( angle 1 = angle 3 )
or, 206° + 2 (angle 1) = 360°
or, 2(angle 1) = 360 - 206
or, 2(angle 1) = 154°
or, angle 1 = 154/2 = 77°
Answer:angle 2 = 103° (vertically opposite angles)
angle 1 = angle 3 = 77° (vertically opposite angles)
OPTION A IS CORRECT.Given the conditional: If the game is field hockey, then the game is a team sport. Find the converse and determine its truth value.
Answer:
"If the game is a team sport, the game is field hockey"
Truth value → True
Step-by-step explanation:
The conditional statement is,
"If the game is field hockey, then the game is a team sport"
There are two statements,
Statement p → The game is a field hockey.
Statement q → Game is a team sport.
For the converse statement,
If p then q (q → p)
So the converse will be,
"If the game is a team sport, the game is field hockey"
Since, both the statements p and q are TRUE, truth value will be TRUE.
(Converse is false only when q is false and p is true)
A mathematical sentence without an equal sign. pick from one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Answer:
expression
Step-by-step explanation:
hope this helps
What is the rate of change of the function represented by the table?
Х
у
1
5
2
5
3
5
4
5
ОО
1
4
5
Answer:
First it is adding 15 then it starts adding 3 then 1
Step-by-step explanation:
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
From The Graph Below Determine the total percentage found of each substance expect hydrogen and helium
Answer:
80%
Step-by-step explanation:
Since we're excluding hydrogen and helium, we are looking for the % of nitrogen and oxygen.
From the graph, we can see that we found 75% oxygen (blue).
We can also see that of nitrogen, green, we found 5%.
We simply need to add these two together.
75% + 5% = 80%
Answer: 80%
equation of the line that passes through the point (-8,-1) and is parallel to the line x-4y=4x−4y=4?
Answer:
Step-by-step explanation:
x - 4y = 4
-4y = -x + 4
y = 1/4x - 1
y + 1 = 1/4(x + 8)
y + 1 = 1/4x + 2
y = 1/4x + 1
Select all of the following functions that are quadratic.
y = 2x2
3 = 2x2 – 8
y = –2 + 2x – 8
y + 3x = 2x2 – 8
y +3x2 = 2x + 3x2 – 8
Answer:
y = 2x2
y + 3x = 2x2 – 8
Step-by-step explanation:
The equations that are quadratic in nature are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c.
Given are the set of equations.
A quadratic equation is a equation of degree 2. The equation with degree 2 are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8Therefore, the equations that are quadratic in nature are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8To solve more questions on quadratic equations, visit the link below -
brainly.com/question/22412845
#SPJ2
Jack is fishing on a pier that is 2 feet above the water. When he casts his rod, the hook
on his line lands 8 feet below water. What is the total distance his hook traveled?
Answer:
10 feet
Step-by-step explanation:
2 + |-8| = 10
Hope this helps, have a great day:)
Tina worked 5 1/3 hours on Saturday and 6 1/4 hours on Sunday. How many total hours did she work these two days?
Answer:
11 7/12
Step-by-step explanation:
5 1/3 + 6 1/4 = 11 7/12
VERY EASY HELP QUICKLY PLEASE!! Write 6.012 as a mixed number in simplest form.
Answer:
6 3/250
Step-by-step explanation:
hope this helps ..;)
How would you record the temperature indicated on the thermometer?
Answer:
i would say closer to 15.1
Step-by-step explanation:
what is x for 3x-1-1=5x-(-x+3)
Help ASAP!!!! Please , 15 points
Answer:
im probably wrong but i think it's C
What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .
Answer: Since the second differences are constant, there is a quadratic relationship between and .
Step-by-step explanation:
Just #9 please I need help (30 points)
Answer:
Step-by-step explanation:
The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as
[-3 , 2]
We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.
The range is the set of possible output values, which are shown on the y-axis.
This is why our graph goes from (-3,8) to (2,3)
Please help! The yellow dot is something random I picked!!! Can you help me?I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
14s+107
Step-by-step explanation:
(2s+7)+(12s+100)
14s+107
The domain of a quadratic function is all real numbers and the range is y ≤ 2 how many x intercepts does the function have?
Answer:3
Step-by-step explanation:
Calculate the distance between the points (-8,1) and (0,7)
Answer:
10 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}[/tex]
Using the distance formula above,
distance between the 2 points
[tex] = \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units[/tex]
If t = -3, what is
[tex] \sqrt{6 - 25t} [/tex]
Answer:
[tex]9[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{6-25t}[/tex]
And we want to find the value of the expression when t is -3.
So, substitute -3 for t:
[tex]\sqrt{6-25(-3)}[/tex]
Multiply:
[tex]=\sqrt{6+75}[/tex]
Add:
[tex]=\sqrt{81}[/tex]
Evaluate:
[tex]=9[/tex]
So, our answer is 9.
And we're done!
Factor Completely.
3x^2-75
Answer:
3(x+5)(x−5)
Step-by-step explanation:
Answer:
3(x - 5) x (x + 5)
^
multiplication sign btw
Step-by-step explanation:
3(x^2 - 25)
3(x - 5) x (x+5)
hope it helped
brainliest is appreciated
What is the inverse of the following function? y = 12x −6
Answer:
f ^−1(x)=x/12+1/2
Step-by-step explanation:
(-6) to the power of negative 5 in fraction form ,
Answer:
-6430041/50000000000
Step-by-step explanation:
so -6 to the power of negative 5 is -0.00012860082 which as a fraction is -6430041/50000000000
Tony is 1/2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?
Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.
However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.
I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.
Another way to write that is 1/2 = x/.5
If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.
Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.
Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony
Step-by-step explanation: