To solve a system of equations by addition, also called elimination, the goal is to cancel out one of the variables by adding the equations together. However, in some cases, you will need to multiply one or both of the equations by a number in order to create a scenario where one of the variables will cancel out when the equations are added together. As long as you cancel a variable out, you will be able to add the equations together and solve for the variable. If you find one variable, you can find the other one easily.
Which graph represents the solution set of the system of inequalities?
{3y≤2x+6
{ 2x+y>0 in one bracket
Simplify.
6^2+3^2????
The area of a rectangle is greater than or equal to 115 square cm. The width of the rectangle is 5 cm and the Length of the rectangle is x cm. Select the possible value of x
I need help on think through math
what is the place value of the 8 in 0.829?
A city is paving a bike path. The same length of path is paved everyday. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved.
a. Explain how you know the situation can be modeled by a linear equation.
b. Write an equation that gives the distance (in miles) as a function of the number of days since the project began.
c. In how many more days will the entire path be paved?
The linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.
What is a linear equation?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.
It is given that:
A city is paving a bike path.
The same length of the path is paved every day. After 4 days, there are 8 miles of path remaining to be paved.
After 6 more days, there are 5 miles of path remaining to be paved.
The coordinates are (4, 8) and (6, 5)
The linear equation can be modeled:
[y - 5] = (5-8)/(6-4)[x-6]
y - 5 = -3/2[x - 6]
2y - 10 = -3x + 18
2y = -3x + 28
y = (-3/2)x + 14
Plug y = 0
(-3/2)x + 14 = 0
x = 28/3
x = 9.33 ≈ 10 days
Thus, the linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.
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On a field trip there were 5 girls for every 8 boys. how many girls attended the 130-student field trip?
Sonia graphs the equations y = -x^2 + 4x and y = x - 4 to solve the equation -x^2 + 4x = x - 4. Her graph is shown below.
What are the solutions of -x^2 + 4x = x - 4?
A.) -5 and 0
B.) -5 and 1
C.) -1 and 4
D.) 0 and 4
The solutions of -x^2 + 4x = x - 4 are -1 and 4
How to determine the solutions?The equation is given as
-x^2 + 4x = x - 4
When split, it becomes
y = -x^2 + 4x
y = x - 4
The graph represents the above equations.
So, the solution is the point of intersection of both equations
The equations intersect at x = -1 and x = 4
Hence, the solutions of -x^2 + 4x = x - 4 are -1 and 4
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Scoateti factori de sub radical, apoi calculati:
v3 + 2v27 - v75
A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain.
The total cost for 11 uniforms is
1.264
1364
1480
1488
The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms and the team will be left with $36 so option (B) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
Multiplication = to multiply any two or more numbers or variables called multiplication.
As per the given question,
Each uniform costs $124.
Number of uniforms needed to buy = 11
Cost of 11 uniform = 11 × 124 = $1364
The budget $1400 > $1364 therefore it is enough.
Hence "The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms".
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write the solution of the inqeuality in set- builder notation:
7 - 3d >_28
2(3p - 11)>_ - 16
list all subsets of the following sets
{1}
{-2, 2}
{dog, cat, fish}
Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run
Find the prouduct
3/18 × 7/21
Although Apples can grow in any of the 50 states, Pennsylvania is one of the top Apple-producing states. The ingredients at the right are needed to make 100 servings of apple dumplings. Suppose you and a partner want to make this recipe for 25 friends. Adjust the amount of each ingredient to make just 25 servings.
Divide the amount of each ingredient by 4.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
100 servings of apple dumplings.
The amount of each ingredient to make just 25 servings.
Divide the amount of each ingredient by 4.
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multiply (x+7) (x-7)
Make a table of ordered pairs for the equation.
y=−13x+4y=−13x+4
Then plot two points to graph the equation.
Solution-
The given equation,
[tex]y=-13x+4[/tex]
Then, we have to calculate two points that satisfy the equation,
Calculating y for x = 0,
[tex]y(0)=-13(0)+4=4[/tex]
So, point (0, 4) satisfies the equation.
Calculating y for x = 1,
[tex]y(1)=-13(1)+4=-13+4=-9[/tex]
So, point (1, -9) satisfies the equation.
Plotting the graph taking this two points, as shown in the attachment.
Dara went on vacation to New York City 2012. She bought a $20 pass to ride the subway . Each time she rode the subway it cost her $2.25 . If she rode the subway 7 times , how much money was left on her pass at the end of her trip ?
Solve the formula for the variable y.
z = 4x + 2y
A. y=z/2+2x
B.y=z/2 -4x
C.y=z/2-2x
D.y=z-2x
How do u get really smart
can someone check my answer? also tell me what property I used.
29,392.46
The 9 in the tens place is blank the value of the thousands place
2(x + 7) + 3x = 12 What is the first step in solving this equation for x? A) 2x + 14 + 3x = 12 Eliminate B) 2x + 7 + 3x = 12 C) 2x + 14 = 9 D) 5x = -2
Two expression with equal sign is an equation. To solve 2(x + 7) + 3x = 12, the first step in solving this equation for x is 2x + 14 + 3x = 12. Option A is correct.
What is equation?Two expression with equal sign is called as equation.
In given equation 2(x + 7) + 3x = 12 we need to solve the first step.
2(x + 7) + 3x = 12
For the first step, we need to multiply 2 with the expression in bracket,
So it will be
2x+14+3x=12.
Therefore option (A) is correct, For solveing 2(x + 7) + 3x = 12, 2x + 14 + 3x = 12 is the first step.
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Three boxes are stacked one on top of the other. One box is 3 feet 7 inches tall, one is 3 feet 10 inches tall, and one is 4 feet 9 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
WILL MARK BRANLIESTHELP ME PLZ
A jeweler needed two diamonds of exactly the same weight to make a ring. The first stone she selected weighed 0.642 carat, the second weighed 0.599 carat, and the third weighed 0.625 carat.
By how much did the heaviest stone outweigh the lightest?
0.043 carat
0.042 carat
0.041 carat
0.04 carat
what is the radious of a circle with a circumference of 13 ft?
Is this graph discrete or continuous
there 12 beads on the bracelet. 8 of the beads are purple. what percent of the beads are purple
There are 12 beads on the bracelet and 8 of the beads are purple. What percent of the beads are purple?
The fraction [tex]\frac{8}{12}[/tex] represents the number of purple beads on the bracelet out of all the beads on the bracelet.
To find what percent of the beads are purple, we can turn the fraction [tex]\frac{8}{12}[/tex] to a percent.
We can first reduce the fraction [tex]\frac{8}{12}[/tex] by dividing both the numerator and denominator by the Greatest Common Factor of 8 and 12 using 4.
8 ÷ 4 = 2
12 ÷ 4 = 3
Our reduced fraction is [tex]\frac{2}{3}[/tex]
2 ÷ 3 = 0.66666666666667
0.66666666666667 × 100 = 66.666666666667%
Therefore, 66.666666666667% of the beads on the bracelet are purple.
assembly starts at three o'clock and ends at quarter past three how many minutes does assembly last
Xin graphs the equation y= 4x-6. Select all the statements that are true. The graph is a curve line, The line passes through the origin, go on passes through the point(0,6) , The slope of the line is 4 , The Y intercept of the line is -6
Answer:
The slope of the line is 4.
The Y intercept of the line is -6.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
The given equation of line is
[tex]y=4x-6[/tex] .... (2)
On comparing (1) and (2) we get
[tex]m=4[/tex]
[tex]b=-6[/tex]
It means the slope of the line is 4 , The Y intercept of the line is -6. the graph of a linear function is a straight line.
The value of y is -6 at x=0, so the line do not passes through the origin.
Therefore, the correct statements are "the slope of the line is 4 and the Y intercept of the line is -6".
The solutions are
The slope of the line is 4
The y-intercept of the line is –6
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y coordinate of second point
y₁ = y coordinate of point one
m = slope
x = x coordinate of second point
x₁ = x coordinate of point one
Given data ,
Let the equation be y = 4x - 6
Now , the equation is of the form y = mx + b where m is the slope and b is the y-intercept
Therefore , the slope of the equation is m = 4
And the y intercept is -6
Hence ,
The slope of the line and the y-intercept of the line is –6
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What is the product in lowest terms?
8/15 x -3/10. ( / means fractions)
1.-4/25
2. -3/35
3. -2/25
4. -1/5
The correct answer for product in lowest term of the expression [tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex] is [tex]\dfrac{-4}{25}[/tex]. The correct option is 1.
To calculate the product of fractions in lowest terms, multiply the numerators together and multiply the denominators together, Then simplify the resulting fraction.
A fraction can be simplified in it's lower term , if both the numerator and denominator after simplification have no common factor other than 1.
The given fractions are:
[tex]\dfrac{8}{15}[/tex] and [tex]\dfrac{-3}{10}[/tex].
To simplify, Multiply both numerator and denominator.
[tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex]
= [tex]\dfrac{-24}{150}[/tex]
Simplify further, Divide both numerator and denominator by their greatest common divisor, which is 6.
[tex]= \dfrac{\dfrac{-24}{6}}{\dfrac{150}{6}}[/tex]
= [tex]\dfrac{-4}{25}[/tex]
The product of [tex]\dfrac{8}{15}[/tex] and [tex]\dfrac{-3}{10}[/tex] in lowest terms is [tex]\dfrac{-4}{25}[/tex]. The correct option is 1.
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