Answer:
[tex](-3,-2)[/tex]
Step-by-step explanation:
First, you need to get one like term in each equation the same in order to eliminate. To do less damage to the equation, we'll use the x terms.
To get the x terms the same, multiply both equations by the opposite x term:
[tex]-3(2x+5y)=-3(-16)\\\\2(-3x+7y)=2(-5)[/tex]
Simplify by multiplying. Use the distributive property for the left side (remember, two negatives make a positive and a negative multiplied by a positive will always be negative):
[tex]-3(2x)-3(5y)=-3(-16)\\\\2(-3x)+2(7y)=2(-15)\\\\\\-6x-15y=48\\\\-6x+14y=-10[/tex]
Now subtract all like terms. The x terms cancel out:
[tex]-6x-(-6x)=0\\\\-15y-14y=-29y\\\\48-(-10)=58\\\\-29y=58[/tex]
Now solve the new equation for y. Isolate the variable by using inverse operations. The term can be seen as -29×y. In order to isolate the variable, use division (opposite of multiplication). Divide both sides by 29:
[tex]\frac{-29y}{29} =\frac{58}{29} \\\\-1y=2[/tex]
Make the variable positive. Multiply both sides by -1:
[tex]-1(-1y)=-1(2)\\\\y=-2[/tex]
The value of y is -2. Insert this value into either original equation:
[tex]2x+5(-2)=-16[/tex]
Solve for x. Simplify multiplication:
[tex]2x-10=-16[/tex]
Use inverse operations to get like terms on the same side of the equation. Add 10 to both sides (addition is the opposite of subtraction) to cancel out the -10 on the left:
[tex]2x-10+10=-16+10\\\\2x=-6[/tex]
Isolate the variable using inverse operations. The x term can be seen as 2×x. Division is the opposite of multiplication, so divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-6}{2} \\\\x=-3[/tex]
The value of x is -3. Therefore, the solution to the system is:
[tex](-3_{x},-2_{y})[/tex]
:Done
simplify
4m+2mn+m^2+m+3m^2
Answer:
4m^2+ 5m +2mn
Step-by-step explanation:
The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
The expression given is 4m + 2mn + m² + m + 3m².
We have to simplify the above expression.
What are the variables ?
A variable is a term which represents an unknown number or unknown value or unknown quantity.
As per the question ;
The expression given is 4m + 2mn + m² + m + 3m²
Let's simplify this by adding similar variables ;
4m , m are same variables
i.e., 4m + m = 5m
Similarly ,
m² and 3m² are same variables
i.e., m² + 3m² = 4m²
So ,
The value after simplification will be ;
4m + 2mn + m² + m + 3m²
= 4m²+ 5m + 2mn
Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
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Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an
Answer:
A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.
Answer:
do you have a pic of the circle
Step-by-step explanation:
If -2x+4= 8, will x be positive or negative? Without solving the equation, explain how you know.
Answer:
x is negative
Step-by-step explanation:
I know x will be negative without solving the equation because we can see that both sides equal positive 8 and for -2x to be positive the x value must be negative. when two negative values are multiplied they change into positive. If the x value was Positive this equation would be false.
Hope this helps you
Answer:
Yes, x will be negative.
We are given:
-2x + 4 = 8
This means that "something", in this case -2x, added to 4, equals 8
The only thing that can add to 4 and equal 8 is 4.
So, that means -2x has to equal 4, which is a positive number.
Negative x negative = positive.
-2 is already a negative number, so x has to be a negative number.
Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
62 personsStep-by-step explanation:
Step one:
given data
total budget=$2500
we are told that the hall charges $60 for cleanup, the amount is a fix charge
and per person is $39
let the number of persons be x
The model for the situation is described by y=mx+c
Step two:
2500=39x+60
solve for x
2500-60=39x
2440=39x
divide both sides by 39 we have
x=2440/39
x=62.56
The greatest number of people that they may invite and still stay within their budget. is 62
What is the length of the unknown side?
Answer:
20！
Step-by-step explanation:
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in the graph below.
What is the constant of proportionality,
E/H, for this situation?
+/-
.
Answer:
Pay Rate = Constant of Proportionality = E/h
Step-by-step explanation:
Recall this formula: Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)
Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.
Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:
E = (Hourly Pay Rate)*h
The relevant constant of proportionality is found by dividing E by h:
Pay Rate = Constant of Proportionality = E/h
If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x
Answer:
solve the second equation for x
The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval
Answer: average y = -8 average y =2
ARC : -4
Step-by-step explanation:
Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Given
The graph of [tex]y = f(x)[/tex]
See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]
The line segment is represented by a green line
To determine the average rate of change using the line segment; we have the following values.
When [tex]x =5; y = 8[/tex]
When [tex]x =7; y = 0[/tex]
So, the average rate of change (m) is:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
Where:
[tex]\Delta y = y_2 - y_1[/tex]
[tex]\Delta y = 0-8[/tex]
[tex]\Delta y = -8[/tex]
[tex]\Delta x = x_2 - x_1[/tex]
[tex]\Delta x = 7 - 5[/tex]
[tex]\Delta x = 2[/tex]
So, we have:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Read more about average rate of change at:
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Banks provide a number of services including all of the following except __________.
A. Payday Lending
B. Safety Deposit Boxes
C. Checking Assets
D. Cashier's Checks
Answer:
A. Payday Lending
Explanation:
Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.
Banks prefer to offer loans to people who have a steady income and a certain amount of salary.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141
Answer: 15,99s
when the rocket hit the ground => y = 0
=> -16x² + 247x + 141 = 0 (*)
a = - 16 b = 247 c = 141
Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions
=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]
or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]
Step-by-step explanation:
plz help
What is the intersection of a plane and a solid figure called?
three-dimensional figure
cross section
two-dimensional figure
base
Answer:
B
Step-by-step explanation:
The intersection of both a solid figure and a plane is called a cross section
Answer:
cross section
Step-by-step explanation:
i had this same question on ossadayware
EFGH is a parallelogram. Find the given side length. Please help
Answer:
EF=35
EG=22
Step-by-step explanation:
EF
7y-14=2y+21
5y=35
y=7
EF=7(7)-14=49-14=35
EG
15x+7=12x+10
3x=3
x=1
EG=15(1)+7=15+7=22
Answer:
(a). 35 units ; (b). 44 units
Step-by-step explanation:
(a). 7y - 14 = 2y + 21 ⇒ y = 7
EF = 7(7) - 14 = 35 units
(b). EJ = JG
15x + 7 = 12x + 10 ⇒ x = 1
EG = 2 × (15(1) + 7) = 44 units
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m6
1. AD BC
2. DC AB
3. none
Answer:
Its DC and AB
HEEEEEELP MEEEEEEE PLZZZZ WILL CHOOSE BRAINLIEST
Answer:
no jami can not mow 1 1/2 in 1 hour
Step-by-step explanation:
well 1/6 * 9 = 1.5
8 * 9 = 72
i would take her 1 hour and 12 minutes to mow
matt is playing a game. he gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. what is the final score?
Answer:
-9 points
Step-by-step explanation:
He starts at 0 but gains 7 [7] then loses 10 [-3] gains 2 [-1] and loses 8 [-9]
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.
Pls and thank you
Answer:
yr point is A
Step-by-step explanation:
If a point is on the bisector of an Angle , then it is equidistant from two sides .
The Meaning of Bisector is to divide something or anything into two equal Halves.
The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.
Option A
equidistant from the two sides of the angle.
i jst taken the quiz
Answer:
equidistant from the two sides of the angle.
Step-by-step explanation:
E=RIGHT FOR AP-EX
please help quick :) (I'll give brainliest, whatever it's called.)
A relation contains the points (−2, 0), (−1, −1), (0, 2), (1, 0), and (1, −2). (show work if you can)
A. The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
B. The relation represents y as a function of x, because one value of y is associated with two values of x.
C. The relation does not represent y as a function of x, because one value of x is associated with two values of y
D. The relation represents y as a function of x, because each value of x is associated with a single value of y.
Answer:
C. The relation does not represent y as a function of x, because one value of x is associated with two values of y
Step-by-step explanation:
I chose choice c because in the relation we can see that the x-value 1 repeated but their y-values are different, one has 0 as its y-value and one has -2 as its y-value. In a function, this can't happen so it's not a function.
Hope this helps you
Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,
Answer:
-1029
Step-by-step explanation:
24, 11, -2...
f(n) = 24 - 13n
f(81) = 24 - 13(81) = 24 - 1053 = -1029
how do I find the factor of the trinomial
x²+x-20
Answer:
(x+5)(x-4)
Step-by-step explanation:
Answer:
(X-4) (X+5)
Step-by-step explanation:
look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5
What is the factorization of x^2-4x+3?
Answer:
D. (x - 3)(x - 1)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 4x + 3
The factors of 3 that sum to -4 are -1 and -3.
So,
[tex] \longrightarrow [/tex] x² - x - 3x + 3
[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)
[tex] \longrightarrow [/tex] (x - 3)(x - 1)
IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss
A.
{4,7,8}
B.
EMPTY SET
C.
{2,5,6,7,4,8}
D.
{2,5,6}
Answer:
C - {2,5,6,7,4,8}
Step-by-step explanation:
It's just because these are the numbers that they don't have in common.
You from irv guessing from your username?
Answer:
Step-by-step explanation:fhh
Find the angle measure.
The measure of angle XYZ is
Answer:
∠XYZ = 102Step-by-step explanation:
1st step is to solve x from ΔWXY
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
2nd step is to substitute x = 8 into ∠XYZ
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent
PLS HELP!!! find the length of side a
Answer:
2
Step-by-step explanation:
the slope is always 1/2 so 5-3
Answer:
a = 4
Step-by-step explanation:
a = ?
b = 5
c = 3
a = √ (c^2 - b^2)
a = √ (3^2 - 5^2)
a = √ 25 - 9
a = √ 16
a = 4
what is 5/2x-7=3/4x+14? help please
Answer:
x=12
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y = 8x - 1
Answer:
y = - 1
you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1
Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)
Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
4/25
Step-by-step explanation:
Its 4/25 as a fraction
Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. Please help
Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff
Step-by-step explanation:
let's add up the cost of the stuff she buys:
- a flat cost of $6.50
- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)
- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15
with that being said:
6.50 + 5.75 + 1.15x ≤ 18
solve for x
since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #
Answer:
Andrea can buy 5 candy bars.
Step-by-step explanation:
First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.