Answers
2: c
Step-by-step explanation:
3: a
by Supplementing each answer Into the equation
Step-by-step explanation:
what don't you understand about this ? did you never solve 2 equations with 2 variables ?
it is really easy. there are 2 main approaches :
1. substitution. you use one of the two equations to express one variable by an expression purely in the other variable. then you use that in the other equation (resulting in one equation with one variable) and solve it. with that result you go back to the other equation and calculate the other variable.
2. equation arithmetic. when the terms of at least one of the variables are similar in both equations, you can multiply (if needed) one or both equations (left and right side !) by a fitting number and then add it subtract one equation from the other, so that you are left with one equation in one variable, which you solve. with that result you go back to any of the original equations and calculate the other variable.
there would be a third option for questions like this :
3. trial and error. simply put the point coordinates as x and y into both equations, and see for what point(s) both remain true.
but in order to show you the methodical approaches, we will use substitution for question 2 and equation arithmetic for question 3.
2)
2x + y = 5
-x + 2y = 5
I use the first equation to transform. and I get
y = 5 - 2x
with that I go into the second equation :
-x + 2(5 - 2x) = 5
-x + 10 - 4x = 5
-5x = -5
x = 1
and with that I get
y = 5 - 2×1 = 5 - 2 = 3
so, C (1, 3) is the right answer.
3)
2x + y = 7
-x + y = 1
let's subtract the second equation from the first :
2x + y = 7
- -x + y = 1
------------------
3x + 0 = 6
3x = 6
x = 2
with that I go into one of the original equations :
-2 + y = 1
y = 3
so, A (2, 3) is the right answer.
Related Questions
Diane has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12. Green grapes cost $3/lb and red grapes cost $2/lb.
Answers
Answer:
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Step-by-step explanation:
12 ≥ 3x + 2y
Money available ≥ cost of green grapes + cost of red grapes
To turn this into slope-intercept form,
12 ≥ 3x + 2y
2y ≥ -3x + 12
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Graphed - see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.
Answers
I NEED HELP please, take 50 points if you answer It and a 50/50 at a brainiest.
"The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Which graph represents this wage increase for x < 12?"
-normally I'd just double-check this but. . . you get it.
Answers
Red dots are starting co-ordinates and whites are ending co-ordinates .
So the graph must have red dots at the start of line and not mandatory for at the end of line.
x<12It should not be at end
Check option B
x ends at first point .And also the interval is 2
so Option B is correct
Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
–1.5
–0.5
0.5
1.5
Answers
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
The slope of the line through these two data points is 1.5.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
x represents the time and y represents the temperature in degrees Fahrenheit.
temperature of –2°F at 8 a.m. Hence:
-2 = 8m + b (1)
it was 4°F at 12:00 p.m. Hence:
4 = 12m + b (2)
Solving equations 1 and 2 simultaneously gives:
m = 1.5, b = -14
The slope of the line through these two data points is 1.5.
Find out more on linear equation at: https://brainly.com/question/14323743
The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?
Answers
Answer:
225
Step-by-step explanation:
25:75=75:?
25*3 is 75, so 75*3 is ?
75*3 is 225
Hope this helps!
Let me know if it does
Answer: 225 cats
Step-by-step explanation:
25 dogs x 3: 75 cats x 3
75 dogs: 225 cats
Heyy help me do this question please and thanks
Answers
Answer:
[tex]2.757*10x^{-4}[/tex]
Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?
Answers
Answer:
Betty is 15.
Mike is 5.
Step-by-step explanation:
We can let Betty's age be b and Mike's age be m.
Since Betty's age is 3 times of Mike, then
[tex]b=3m[/tex]
In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.
Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].
We know that [tex]b=3m[/tex], so we can substitute that:
[tex]3m+5=2(m+5)[/tex]
Expand:
[tex]3m+5=2m+10[/tex]
Subtract 5 from both sides:
[tex]3m+5-5=2m+10-5[/tex]
[tex]3m=2m+5[/tex]
Subtract 2m from both sides:
[tex]3m-2m=2m+5-2m[/tex]
[tex]m=5[/tex].
Mike is 5 years old.
Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]
Find the exact length of the third side.
10
8
Answers
Answer: 6
Step-by-step explanation:
The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse. Unfortunately, due to a lack of a diagram, I am forced to infer.
Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.
Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.
Jodie wants to raise money for a school trip by selling raffle tickets at a basketball game. She sells each ticket for 50 cents, and she sells two and a half rolls of tickets. If each roll of ticket has 200 tickets, how much money did Jodie make?
Answers
Answer:
250 dollars
Step-by-step explanation:
t = tickets
t = 200
Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500
500 tickets x 50 cents = 25000 cents
convert cents to dollars (move decimole point over left 2 units)
25000 = 250 dollars
Order the following fractions from least to greatest
Answers
Answer:
1/8, 2/9, 3/7, 5/8, 4/5
Step-by-step explanation:
mark brainlist
Answer: he is right I don't want to still his win
Step-by-step explanation:
mark him brainiest
How do you solve for x?
2(x - 3)^2 - 32 = 0
Answers
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]x = - 1 \\ x = \: 7[/tex]
Step-by-step explanation:
[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]
divide both sides[tex](x - 3 {)}^{2} - 16 = 0[/tex]
use a²- b² =(a - b ) (a + b) to factor the expression[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]
calculate the difference and the sum[tex](x - 7) \times (x + 1) = 0[/tex]
when the product of factors equals 0 ,at least one factor is 0[tex]x - 7 = 0 \\ x + 1 = 0[/tex]
solve the equation for x[tex]x = 7 \\ x + 1 = 0[/tex]
the equation has 2 solutions[tex]x = - 1 \\ x = 7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answers
Answer:
D. 31 toys
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:[tex] \frac{377}{12} [/tex]
[tex] = 31.4166666667[/tex]
[tex]nearest \: whole \: number = 31[/tex]
hence, she'll have 31 toys left to give her little brother.
answer= option D
Y=6 z=7 h=0 what is y+h
Answers
Evaluate
[tex] \sf \longmapsto \: y + h[/tex]
When
[tex]y = 6[/tex][tex]z = y[/tex][tex]h = 0[/tex]Let's start.
[tex] \sf \longmapsto \: y + h[/tex]
Put the values[tex] \sf \longmapsto6 +0[/tex]
Answer[tex] \sf \longmapsto6[/tex]
But there is no use of z = 7 . Z is excluded from y+h.Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )
Answers
Answer:
116 remainder 1
116 1/3
116.333
Step-by-step explanation:
Answer:
116 with a remainder of 1
Step-by-step explanation:
Picture below shows step by step work
Hopefully this helps!
Brainliest please?
Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.
Questions: Underline the correct answer.
1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).
Answers
We want to see underline the correct part in each statement.
1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).So, Jean and Jericho are playing on a seesaw.
Jean is heavier than Jericho.
Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.
If we define:
W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.We must have:
W₁*d₁ = W₂*d₂
Then:
1) This situation illustrates (direct, inverse) variation.
d₁, the position of Jean, varies inversely with respect to Jean's weight.
2) The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
(by the equation above)
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
By the given equation, we see that d₁ must be smaller than d₂.
And the last two are trivial:
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).
If you want to learn more, you can read:
https://brainly.com/question/18320907
If -2 - 4x = -8x + 3x,
then what is X-2?
Answers
Answer:
-0.8
Step-by-step explanation:
-2 -4 = -8x + 3x
-6 =-5x
x = 1.2
so x-2 =
1.2 -2 = -0.8
Find the area! Explain all thinking!! Thank you! <3
Answers
Answer:
80
Step-by-step explanation:
you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!
hope this helped :D
Please lmk, thank you.
Answers
Answer:
True
Step-by-step explanation: I gotchu friend
Yall i need help asap! please help
Answers
3) 1010000
4) 1582
I helped
A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
Answers
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
https://brainly.com/question/20054245
Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
what is (x-2) (3x-4)=
a.3x² - 6x-8
b.3x² - 2x - 8
c.3x² + 10x + 8
d.3x² - 10x + 8
Answers
Answer:
D. 3x^2-10x+8
Step-by-step explanation:
[tex] \: \: \: \: \: [/tex]
D. 3x²- 10x + 8hope it helps
refer to the attachment
[tex] \: \: \: \: \: [/tex]
Sorry, ignore the other question I had on here, that was a typo. How do you find the positive/negative intervals of f(x) = 3/(x + 5) ? Please show in full detail!!
Answers
Answer:
Positive interval: x is in (-5, infty)
Negative interval: x is in (-infty, -5)
Step-by-step explanation:
A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.
Positive interval: x is in (-5, infty)
A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.
Negative interval: x is in (-infty, -5)
A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.
Selena and Demi run a gift delivery business. Selena charges a delivery fee that is $18, and she also charges $6 per gift delivered. Demi charges $16, and she also charges $8 per gift delivered. How many gifts have to be delivered before they charge the same amount?
Answers
Answer:
1 gift
Step-by-step explanation:
Cost per gift + delivered cost
Selena $6x + $18
Demi $8x + $16
$8x + $16 = $6x + $18
$2x - $16 = $18
$2x = $18 - $16
$2x = $2
x = 1
What is the period of the trigonometric function f(t) = 3sin(t/2)?
A) 2Pie
B) 3pie
C) 4pie
D) pie/2
Answers
10 Jim was thinking of a number. Jim subtracts 14 from it and gets an answer of 43.9. What was the original number?
Answers
57.9 add 14 to the answer and you get your number
Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answers
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
based on the information in the table is the cost of the pizza proportional to the number of toppings?
Answers
What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22
Answers
Step-by-step explanation:
I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD
Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.
Answers
Step-by-step explanation:
x, y are the 2 numbers
x + y = 24
x - y = 5
x = y + 5
and that in the first equation
y + 5 + y = 24
2y = 19
y = 9.5
x = y + 5 = 9.5 + 5 = 14.5
the 2 numbers are 9.5 and 14.5.
The lenght of a rectangle exceeds it width by 2cm. If area of the rectangle is 80 cm The lenght of the rectangle is ?
Answers
Answer:
[tex]x4 - (9x5)[/tex]
yan npo wag puro brainly
Answer:
The answer is l =40cm