The system of equations graphed below has how many solutions?
A. Infinitely many
B. 2
C. 1 D. 0
Answers
========================================================
Explanation:
Each given equation is in the form y = mx+b, with m as the slope
The slope of each equation is m = -3/2
Since the lines have the same slope, but different y intercepts, we have two parallel lines.
Parallel lines never intersect, so we don't have any solutions.
A solution to a system is an (x,y) point that is on both lines at the same time, making both equations true simultaneously.
A system with no solutions is considered inconsistent.
Related Questions
Simplify -3(x + 3) + 4x
Answers
Answer: x2 + 34x - 13
Step-by-step explanation:
STEP
1
Trying to factor by splitting the middle term
1.1 Factoring x2+34x-13
The first term is, x2 its coefficient is 1 .
The middle term is, +34x its coefficient is 34 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 1 • -13 = -13
Step-2 : Find two factors of -13 whose sum equals the coefficient of the middle term, which is 34 .
-13 + 1 = -12
-1 + 13 = 12
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 + 34x - 13
365-380= please help me
Answers
Answer:
-15
Step-by-step explanation:
A car uses a gallon of gas for every 45 miles driven. Identify the
independent and dependent variables of this situation.*
O Dependent: miles; Independent: gallons
O Dependent: gallons, Independent: miles
Dependent: miles, Independent: hours
O Dependent: cars, Independent: gallons
Answers
Answer:
O Dependent: miles; Independent: gallons
Step-by-step explanation:
An independent variable is one which can stand alone. Its values is not affected(gets changed) by change in other variable.
Example : your age
value of your age will not change in other factor like how much you run, sleep etc.
A dependent variable is one which cannot stand alone. Its values gets affected(gets changed) by change in other variable.
Example : weight: weight of human is dependent on food you eat and hence more you eat more is the chance of weight being increased.
hence, weight is dependent variable.
_______________________________________________________
Given
A car uses a gallon of gas for every 45 miles driven.
thus, there are two variable, which as identified is
miles and gallons
given that
in 1 gallon , car gets driven 45 miles
so if there are n gallons car will get driven 45*2 = 90 miles
in there are n gallons, car will get driven 45*n= 45n miles
hence , miles is dependent on no of gallons hence
miles is dependent variable.
thus, we see there is relationship between miles and gallon as
miles = 45n, where n is the no of gallons
here no of gallons is independent variable as its value can stand alone, its value does not change with miles.
hence
gallons is independent variable.
thus,
correct choice is
O Dependent: miles; Independent: gallons
Write an equation of the line in slope-intercept form f(0)=2,f(2)=4
Answers
Answer: y=2x-2
Step-by-step explanation: First you plot those two points and make a line, then find the rest below. Slope formula is y=mx+b. M is the slope, rise over run, which is 2, and b is the y-intercept, where it meets the y-axis, which is -2.
Please answer worksheet 50 points!! And I’ll mark brainliest
Answers
Answer:
Whoops that you didn't add the worksheet but thanks for the points anyways?
Step-by-step explanation:
Hope you have a good day though. :)
Solve the inequality −5r + 6 ≤ −5r − 10.
Answers
Answer:
The answer is that there's no solution
Hope you find this helpful :)
how many people can he invite for 29.04?
Answers
Answer:
im gonna need more info
Step-by-step explanation:
Simplify (5.2 -4.5) - 5.5 + 4.8
Answers
Answer:
She moved the parentheses in step 2!
Step-by-step explanation:
(5.2-4.5)-5.5+4.8 Solve inside the parentheses first.
0.7-5.5+4.8 Solve in order
-4.8+4.8=0
3+4=7
5+3=15
2+6=23
4+7=?
Answers
Answer:
get a better math teacher
6. Which of the following values are the zeroes of the expression 2x(x - 5)(x+7)?
(1) {-7,0,5)
(3) {-5, -2,7}
(2) {-7, -2,5)
(4) {-5,0,7}
Answers
Answer:
Step-by-step explanation:
To get the zeros of the expression 2x(x - 5)(x+7), we are going to equate the expression to zero and find the corresponding value of x as shown;
2x(x - 5)(x+7) = 0
2x = 0
x-5 = 0
x+7 = 0
From 2x = 0
x = 0/2
x = 0
From x-5 = 0
x = 0+5
x = 5
From the equation x+7 = 0
x = 0-7
x = -7
Hence the values of the zeros are {-7, 0, 5}
Help please?????.thank you
Answers
180-16=164
can someone help me plz?
Answers
Answer:
1. 18g - 35
2. 16g - 25h
3. -4
Step-by-step explanation:
H is the circumcenter, or point of concurrency, of the perpendicular bisectors of ΔACE.
Triangle A C E is shown. Point H is the circumcenter of the triangle. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H B, H F, and H D are formed.
Which statements must be true regarding the diagram?
Answers
Answer:
∠HDC ≅ ∠HDE, AB ≅ BC, HC ≅ HE
Step-by-step explanation:
yup
The circumcenter describes the point of intersection of three perpendicular bisectors. Any point on the perpendicular bisector is equidistant from the endpoint of the segment. Hence, the true statements are :
HC ≈ HE∠HDC ≈ ∠HDEAB = BCThe intersection point H is equidistant from the vertices of the triangle A, C and E
Therefore, HA ≈ HC ≈ HE ; Hence, the expression ;
HC ≈ HEB is the midpoint of the line AC ; Hence, using the midpoint rule ; AB = BC
∠HDC ≈ ∠HDETherefore, only the three statements are true.
Learn more :https://brainly.com/question/16257505
Which value of n makes this equation true?
3n + 3/5 = 5n-1/9
A.
n=-16
B.
n=-2
c.
n= 2
D
n = 16
Answers
The value of n makes this equation true is -16.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
WE have been given an expression as;
3n + 3/5 = 5n-1/9
Combine the like terms;
3n + 3/5 = 5n-1/9
3n - 5n = -3/5 -1/9
-2n = -27 - 5 / 45
n = -16
The value of n makes this equation true is -16.
Learn more about finding the solution here:
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What are the factor of these numbers,
8
2x
5ab
12z
20xy
Can someone answer this? I need it now. Thanks
Answers
2x: 0
5ab : 5ab
12z: 5,2,1z
20xy: 2(10xy), 4(5xy)
Solve for x
9 (x +2) < 3(3-5)
Answers
Step-by-step explanation:
9x+18 < 9-15
1)9-15= -6
9x+18 < -6
9x+18= -5
9x= (-5) - 18
9x= -23
x= 23/9=2 5/9
X=2,55556
What does X equal.
6x+2=10x-16
Answers
Answer:
4.5
Step-by-step explanation:
6x+2=10x-16
-6x -6x
2=4x-16
+16 +16
18=4x
18/4=x
Add the following fractions 2/10 + 6/10
Answers
Answer:
8/10
Step-by-step explanation:
add the numerator but keep the denominators the same
you could also simplify to 4/5
Answer:
2/10 + 6/10
= 8/10
=4/5
Therefore the answer is 4/5
evaluate the expression when a=-7 and c=6. a-6c
Answers
Answer:
-43
Step-by-step explanation:
(-7) - 6(6)= -43
On which surface is the student unable to apply enough force to overcome the force of friction
Answers
Rough surfaces
Ex=carpet
The student unable to apply enough force to overcome the force of friction on rough surfaces.
What is Force?
A force is an influence that can change the motion of an object.
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.
We need to find the type of surface the student unable to apply enough force to overcome the force of friction.
A rough surface will have more friction because on the rough surface there will be more irregularities.
So rough surface is the student unable to apply enough force to overcome the force of friction.
Hence, the student unable to apply enough force to overcome the force of friction on rough surfaces.
To learn more on Friction click:
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Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?
x = –6
x = –3
x = 4
x = 8
Answers
What is an equation in slope intercept form of a line that passes through points (0,5) and (4,0)
Answers
Answer:
y = -5/4x + 5
Step-by-step explanation:
If you use rise/run it rises down 5 and runs to the right 4, therefore your slope is -5/4x and for your Y-intercept its 5 because (0,5) is already on the Y-axis, so your answer is y = -5/4x + 5
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}[/tex]
Therefore the slope is m = -5/4
Find the equation
Let [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Substitute m = -5/4 in the equation,
[tex]y=-\frac{5}{4}x+b[/tex]
Substitute any ordered pairs that are given. I'll use (4,0) instead.
Substitute y = 0 and x = 4
[tex]0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\[/tex]
Thus, the y-intercept is 5 (b is 5)
Therefore, the equation is [tex]y=-\frac{5}{4}x+5[/tex] #
Do you know the answer to this question????
Answers
Answer: the answer should be 95
Step-by-step explanation:
Brian scored 1/10 of the points at his basetball state championship game and joe scored 1/4 of the points together they scored 21 points write an exuation to represent the situation what was the total numbers the team scored? ~PLEASE HELP ASAP!~
Answers
Answer:
x/10 + x/4 = 21 /*40
4x + 10x = 840
14x = 840
x = 60 = total number of points the team scored
6th grade. A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe.
Fruit
Cups Used
Apples
5
Mangoes
3
Blueberries
2
Blackberries
1
If a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make?
Answers
Bob, Sally, and Billy Bob Joe are sharing jelly beans. Bob started with 77 jelly beans, Sally started with 12 jelly beans, and Billy Bob Joe started with 19 jelly beans. Bob gave 45 jelly beans to Sally. Sally gave 29 jelly beans to Billy Bob Joe, and Billy Bob Joe ate 30 jelly beans. How many jelly beans does Billy Bob Joe have left?
Answers
Answer:
Billy Bob Joe now has 18 jelly beans left
Step-by-step explanation:
Bob initially has 77 jelly beans, Sally initially has 12 jelly beans and Billy Bob Joe initially has 19 jelly beans.
If Bob gives 45 jelly beans to Sally, Bob now has 77 - 45 = 32 jelly beans and Sally now has 12 + 45 = 57 jelly beans.
Sally now gives 29 jelly beans to Billy Bob Joe. Sally now has 57 - 29 = 28 jelly beans and Billy Bob Joe now has 19 + 29 = 48 jelly beans.
If Billy Bob Joe now eats 30 jelly beans, he now has 48 - 30 = 18 jelly beans.
So, after eating 30 jelly beans, Billy Bob Joe now has 18 jelly beans left.
Answer:
18
Step-by-step explanation:
A sweater is on sale for 10% off. It is normally priced $50. What is the new price of the sweater
Answers
Which linear equation is best represented by the graph?
Answers
Answer:
y=2/3x-2
Step-by-step explanation:
A linear equation is in the form of y=mx+b
You need to find the slope and y-intercept.
The slope is 2/3 Up 2, over 3 to the right.
The y-intercept is (0,-2)
So the equation would be, y=2/3x-2
Hope this helps :)
Help!!!!
What is f(-5) if f(x) = |2x – 1] + 10?
Answers
Explanation
[2(-5)-1]+10
[-10-1]+10
-11+10
=1
To make a batch of sky blue paint, Claire mixes 2 cups of blue paint. Explain how to make a mixture that is a darker shade of blue than sky blue.