is there an ordered pair that is in the solution to both of these linear equations
Answers
Answer:
(- 4, 2 )
Step-by-step explanation:
y = 3x + 14 → (1)
2x - 3y = - 14 → (2)
substitute y = 3x + 14 into (2)
2x - 3(3x + 14) = - 14 ← distribute parenthesis on left side and simplify
2x - 9x - 42 = - 14
- 7x - 42 = - 14 ( add 42 to both sides )
- 7x = 28 ( divide both sides by - 7 )
x = - 4
substitute x = - 4 into (1)
y = 3(- 4) + 14 = - 12 + 14 = 2
solution is (- 4, 2 )
Related Questions
Does the following expression have a value greater than 2? - 3+ (+4) +2
Answers
Yes, the resulting value of the expression is 3 which is greater than 2.
Expression:
Expression is defined as a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
An expression contains the following:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Expression = -3 + (+4) + 2
Here we need to check the resulting value of the expression is greater than 2 or not.
For that, first we have to simplify the given expression,
Then,
=> -3 + ( 4 + 2)
=> -3 + 6
=> 3
Now, we have know that 3 is greater than 2.
So, the expression is greater than 2.
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The function g is defined as follows
g(x)=2x^2-7
If the graph is translated vertically downward by 3 units, it becomes the graph of a function h
FIND THE EXPRESSION OF h(x)
H(X)=
Answers
Here is how the function g is defined.
g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.
Given that,
Here is how the function g is defined.
g(x)=2x²-7
The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.
We have to find the function of h(x).
Translation of the quadratic function.
A quadratic function is presented in the form where in its standard form.
f(x)=a(x-h)²+k
Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.
h(x)=g(x)+k
Where g(x)=2x²-7 and k=3
h(x)=g(x)+3
h(x)=2x²-7+3
h(x)=2x²-4
Therefore, the function of h(x)=2x²-4.
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Jane has a carton of orange juice.
The carton is in the shape of a cuboid.
20cm-
6cm
10 cm
The depth of the orange juice in the carton is 8 cm.
Jane closes the carton.
Then she turns the carton over so that it stands on the shaded face.
Work out the depth, in cm, of the orange juice now.
Answers
The new depth of the orange juice is now 4cm
Calculating VolumeFrom the question, we are to calculate the depth of the orange juice after Jane turns the carton
First, we will determine the volume of orange juice in the carton.
The volume of orange juice in the carton = 10 cm × 6 cm × 8cm
Volume of orange juice in the carton = 480 cm³
Now, we will determine the depth of the orange juice when the carton stands on the shaded face
If carton stands on the shaded face,
The length becomes 20 cm
and
The width becomes 6 cm
Let the new depth of the orange juice be h
Then,
We can write that
480 = 20 × 6 × h
480 = 120 × h
h = 480/120
h = 4 cm
Hence, the new depth of the orange juice is now 4cm
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solve the equation t/4 = -6
Answers
Answer:
t = -24
Step-by-step explanation:
[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]
Al caer la tarde, la temperatura en seattle era de 7 C. A medianoche ‘ la temperatura había caído 15C cual era la temperatura a media noche
Answers
Answer:
hh jkj
Step-by-step explanation:
Answer:
al la trade la temperature en Seattle
Era de 7c a medical
Step-by-step explanation:
Approximate √18 to the nearest tenth and plot
the number on a number
line.
Answers
Answer: 4.2
Step-by-step explanation:
√18=
4.24=
4.24=4.2
If a patient drank 1/2-pint of apple juice and received 1 L via IV, what is the total amount of
fluids, in mL, they took in?
Answers
The total volume of fluid that the patient takes in is:
V = 1284.13 mL
What is the total amount of fluids, in mL, they took in?
We need to add the total volume of liquid that the patient consumes.
First, we need to rewrite both volumes in mL, remember that:
1 pint = 568.26 mL
Then for the 1/2-pint of apple juice:
1/2 pint = (1/2)*568.26 mL = 284.13 mL
And:
1L = 1000L
For the liter we have:
1 L = 1000ml
Then the total volume of fluid that the patient takes in is:
V = 284.13 mL + 1000ml = 1284.13 mL
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multiple choice question. with explanation needed.
Answers
Answer: 4
Step-by-step explanation:
|r|=-2 can i have some help with this
Answers
Answer:
Yes, is there more to the question?
Step-by-step explanation:
Algebra 1
1.1 Evaluating Expressions
Evaluate each using the values given.
1) z−5+ x; use x = 1, and z = -3
Answers
Evaluating Expressions-
z−5+ x= -7
x = 1, and z = -3
z−5+ x=-3 + (-5) + 1
= -3-5+1=-7
to assess an algebraic expression way to find the price of the expression while the variable is changed by using a given range.
to evaluating expression, we replacement the given range for the variable within the expression and then simplify the expression the use of the order of operations
What does “Evaluating Expressions” suggest?
Simplification of expressions can be performed with the help of operations’ order. It consists of changing the variable to discover the expression’s fee. The given number is substituted to evaluate expressions. After this, one needs to simplify it primarily based at the order of the operations
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Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
Answers
Answer:
Step-by-step explanation:
Answer:
no of batches of street made is 2345
srry i don't know
Step-by-step explanation:
URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?
Answers
Answer:
3.35kg
Step-by-step explanation:
Answer:
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
Step-by-step explanation:
Example 8
A school received a shipment of laptops and tablets purchased for $35,100 for their new
computer lab. Each tablet cost $375 and each laptop cost $850. If the school ordered 3 times as
many laptops as tablets, then which of the following is the number of laptops in the shipment?
Answers
The shipment contained 12 tablets and 36 laptops.
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the number of tablets and y represent the laptop.
Each tablet cost $375 and each laptop cost $850, hence:
375x + 850y = 35100 (1)
Also:
y = 3x (2)
From both equations:
x = 12, y = 36
The shipment contained 12 tablets and 36 laptops.
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f(c)=3c-8
g(c)=√14-c
Evaluate.
(fog)(-11) =
Answers
Answer: f(g(-11)) = out -23
Step-by-step explanation:
The value of the composite function (fog)(-11) is 3√14 - 41.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions.
In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.
Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).
So, g(-11) = √14 - 11.
Therefore,
(fog)(-11) = 3(√14 - 11) - 8.
(fog)(-11) = 3√14 - 33 - 8.
(fog)(-11) = 3√14 - 41.
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estimate the square root of 60 to one decimal place
Answers
Liam is 3 years older than his little sister Carin. Together they're 31 years old. How old is Liam? Solve the problem with an equation
Answers
Answer: Liam is 17
Step-by-step explanation: 17-14= 3. 17 + 14 = 31
5(6+5v)+5(-8-4v) pls explain how to do this
Answers
Answer:
-10 + 5v
Step-by-step explanation:
5(6 + 5v) + 5(-8 - 4v)
We distribute first
30 + 25v -40 - 20v
Then we can combine like terms: 30 plus (-40) is -10. 25v plus (-20v) = 5v.
-10 +5v
hello ! how's you're day, I hope it's doing good Im proud of ur work !
Answers
Answer:
thanks, I needed That
Step-by-step explanation:
brainliest
which of the following statements is not correct? fewer students in the sample listed volleyball as their favorite sport than football. more students in the sample listed lacrosse as their favorite sport than basketball. more students in the sample listed basketball as their favorite sport than volleyball. the highest percentage of teenagers in the sample listed soccer as their favorite sport.
Answers
The highest percentage of teenagers in the sample listed soccer as their favorite sport. this option is correct .
What does a statistical pie chart mean?
A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. A certain category is represented by each segment.Pie charts are circular charts with segments that each indicate a value and are used in data handling. Pie charts have portions (or "slices") that depict varying sizes of values. For instance, an entire class is represented by the circle in this pie chart.In this question pie chart is showing data of games .
So. by observing the chart we can say that ,
the highest percentage of teenagers in the sample listed soccer as their favorite sport.
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9. Bus A arrives every 12 minutes and Bus B arrives every 15 minutes. Both buses arrive
together at 9am, what time do they next arrive together
Answers
============================================================
Explanation:
12 = 3*4
15 = 3*5
The GCF of 12 and 15 is 3
LCM of x and y = (x*y)/(GCF of x and y)
LCM of 12 and 15 = (12*15)/(GCF of 12 and 15)
LCM of 12 and 15 = (12*15)/(3)
LCM of 12 and 15 = 60
-------------------
We can confirm this by listing out the multiples of each
multiples of 12 are: 12, 24, 36, 48, 60, 72, ...
multiples of 15 are: 15, 30, 45, 60, 75, ...
-------------------
Since the LCM is 60, this means their schedules line up every 60 minutes, aka 1 hour.
If they arrive together at 9 AM, then their next arrival time together is 10 AM which is the final answer.
Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 64 ft/sec.
When are the two cars 1 mile apart? (Round your answer to one decimal place.)
answer in seconds
Answers
50.76922
after 50.8 seconds because
50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
X(-11,0), Y(-11,-8), Z(-1,-4)
Answers
The triangle with vertices located at X(-11 , 0), Y(-11 , -8), and Z(-1 , -4) has its centroid located at (-23/3 , -4).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = X(-11 , 0)
Point 2(x2 , y2) = Y(-11 , -8)
Point 3(x3 , y3) = Z(-1 , -4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-11 + -11 + -1)/3 , (0 + -8 + -4)/3]
C(x ,y) = (-23/3 , -12/3)
C(x ,y) = (-23/3 , -4)
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multiply or divide write your answer in simplest form 3/6 x 7/10
Answers
Answer:
0.35
Step-by-step explanation:
3/6=1/2
7/10=0.7
1/2=0.5,0.5×0.7
=0.35
Answer: 7/20
Step-by-step explanation:
3/6*7/10= 0.35
First write down the decimal number divided by 1 like this:
0.35
1
As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator
0.35 × 100
1 × 100
=
35
100
Since the greatest common factor of 35 and 100 is 5, we can simplify the fraction and show the same amount
35 ÷ 5
100 ÷ 5
=
7
20
Therefore, 0.35 as a fraction is 7/20
how to solve? …………….
Answers
Solution:
[tex]3(2x+3)[/tex]
Hope this helps!
Tanisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $5.50 and a drink for $4. How much would it cost if they bought 4 bags
of popcorn and 6 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Answers
Hope this helps!
Can someone help me with these? ASAP please
Answers
a. Length of AB = 7 units
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Length of AB = 7 units
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Length of AB = 9 units
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
How to Find the Length of a Segment?Given two points on a coordinate plane, where the two points are on a horizontal or vertical line, the distance between the two points is the absolute difference between their coordinates.
a. Given:
A(10, -4)
B(3, -4)
C(-1, 2)
D(-1, 5)
Length of AB = |10 - 3| = |7|
Length of AB = 7 units
Length of CD = |5 - 2| = |3|
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Given:
A(-5, 6)
B(-5, -1)
C(-4, 3)
D(3, 3)
Length of AB = |6 - (-1)| = |7|
Length of AB = 7 units
Length of CD = |-4 - 3| = |-7|
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Given:
A(8, 3)
B(-1, 3)
C(5, 10)
D(5, 3)
Length of AB = |8 - (-1)| = |9|
Length of AB = 9 units
Length of CD = |10 - 3| = |7|
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
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j² 5k for j = -4 and k = -1
Answers
Answer: -80
Step-by-step explanation:
j = -4 and k = -1
j² 5k=
5kj²=
5(-1)(-4)²=
-5(16)=-80
Write down the inequality described by "negative three groups of x is less than two", and solve for x
Answers
Answer:
- 3x < 2
x < - 1
Explanation and Check part below
Explanation and Check part belowHope this helps :)
Step-by-step explanation:
1. To solve, first isolate the variable by doing the inverse operation which is in this case dividing by - 3 on both sides of the equation.
- 3x < 2
- 3 -3
x < - 1
2. Graph it if needed with an open dot because - 1 is not part of the set of solutions.
<--------○
<----l----l-----l----->
-2 -1 0
Check:
1. Substitute x with any number less than - 1 and solve.
- 3 (- 2) < 2
-6 < 2
True statement.
b. Find the change in temperature if the temperature rises from -18°F to 15°F.
Answers
The change in temperature is 33°F.
According to the question we have been given that there are two temperature readings which are, -18°F and 15°F.
We need to find the change in temperature that is we need to find the difference. And for that we will use distance formula.
The formula to find the distance between the two numbers p and q is
= |p-q|
Here , p = -18°F and q = 15°F
Putting the required values in the above formula we get
= |-18 - 15| °F
= |-33| °F
= 33°F
Hence the change in temperature is 33°F.
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There are 140 cars in a parking lot. Keisha looks at 15 cars and sees that two of them are red. Aproximately, how many red cars are in the parking garage?