Answer:
infinitely many solutions
There are ''Infinitely many solutions'' in this system of equations.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = -2x + 2 .. (i)
⇒ 2y + 4x = 4 .. (ii)
Now, Solve the expression as;
Multiply by 2 in (i);
⇒ 2y = 2 (-2x + 2)
⇒ 2y = -4x + 4
⇒ 2y + 4x = 4
Clearly., Both equations are same.
Hence, There are ''Infinitely many solutions'' in this system of equations.
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What expression can be used to determine the total cost of buying g pounds of granola for $4.85 per pound and s pounds of sugar for $0.83 per pound?
Answer:
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Step-by-step explanation:
Given that:
Cost per pound of granola bars = $4.85
Cost per pound of sugar = $0.83
Let,
y be the total cost.
According to given statement;
y = 4.85g + 0.83s
Hence,
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope:
The both equations given are parallel. So, they have same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept
Using slope m = -2/3 and point (-3,5) we can find y-intercept
[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]
So, we get b = 3
Now, the equation of required line:
having slope m = -2/3 and y-intercept b =3
[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false
Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
true
Step-by-step explanation:
Hinata is an atlethe.She swims every 6 days and runs every 4 days. If she does two activities today, how many days will she do the two activities again the same day, what is the LCM AND GCF
Answer:
87
Step-by-step explanation:
if the shaded area is 16 cm ^ 2 , then the length in the figure is?
Answer:
If the shaded area is 16 cm^2, then the length in the figure is
[tex] \sqrt{16} = 4 \: cm[/tex]
4 cm is the right answer.First to answer gets brainliest
Answer:
y = 4x - 9
Step-by-step explanation:
Take 2 points:
(0,-9) and (4,7)
Find the slope:
(7 - (-9))/(4 - 0)
16/4 = 4
so we have y = 4x + b
Now find b:
Insert a point for y and x:
7 = 4(4) + b
7 = 16 + b
b = -9
y = 4x - 9
Mrs. Honeycutt has 20 students in her class and 6 of the student are members of the math club what is the ratio of the students who are not in the math club to the total number of students in Mrs. Honeycutt class?
Answer:
20-6=14 students not in math club
14:20
if it wants you to simplify it then: 7:10
Step-by-step explanation:
I hope this helps :)
Which of these two numbers is the largest?
4.12 or 4.21
What’s the answer?
Answer:
4.21
Step-by-step explanation:
12 is less than 21 therefore its bigger
The larger number is 4.21
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = A
Let the second number be = B
Now , the value of A = 4.12
And , the value of B = 4.21
Now , we can clearly see the value of B is greater than A
So , the equation will be
Therefore , the value of B > A
And , 4.21 > 4.12
Hence ,The larger number is 4.21
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Can someone help me solve this for extra credit in school--- please?
Answer:
y = - 3x + 2
Step-by-step explanation:
y = - 3x + 5
Slopes of parallel lines are equal
( - 1, 5)
y - 5 = - 3(x + 1)
y = - 3x + 2
2. 1. Calculate the interest if the principal is $300, the interest rate is 7% and the time is 2 years.
Answer:
$42
Step-by-step explanation:
Given
Principal (P) = $300
rate of interest (R) = 7%
Time (7T) = 2 years
Interest (I) = ?
We know
I = PTR / 100
= 300 * 7 * 2 / 100
= $ 42
Hope it will help :)❤
2x + 4 - 3x + 2 + 3x
Answer:
factor the expression:2(x+3
simply the expression:2x+6
Step-by-step explanation:
tell me if you don't get it
(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
the statements that must be true about the graph of f.
a.
The y-intercept of the graph is at (0,c).
b.
The graph has an x-intercept at (c,0).
C.
When a < 0 the graph is open downward.
d.
The graph has two x-intercepts.
e.
If b = 0, then the vertex is on the y-axis.
Answers:
a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.If the value of a is less than zero then the parabola is open downward. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.
a. The y-intercept of the graph is at (0,c). This is incorrect.
b. The graph has an x-intercept at (c,0). This is incorrect.
c. When a < 0 the graph is open downward. This is correct.
d. The graph has two x-intercepts. This is incorrect.
e. If b = 0, then the vertex is on the y-axis. This is incorrect.
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Find the missing angle
Answer:
80
Step-by-step explanation:
180-80-20=80
Will give The Big Brain Crown for right answer
Answer:
B
Step-by-step explanation:
pls give me brainliest!!<3
Answer:
I believe the answer is 1/2
Step-by-step explanation:
y1 - y2 / x1 - x2
0 - 3 / -6 - 0
-3 / -6
3 / 6
1 / 2
Find the fifth term in the sequence
that is defined as follows:
an = 3n - 5
Answer:
The fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]
Step-by-step explanation:
We need to find the fifth term in the sequence that is defined as follows:
[tex]a_n = 3n - 5[/tex]
For finding the fifth term we have to put n=5 and solve the sequence
Putting n=5, and solving the sequence
[tex]a_n = 3n - 5\\Put\:n=5\\a_5=3(5)-5\\a_5=15-5\\a_5=10[/tex]
So, the fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
Answer: 40
Step-by-step explanation:
Assume Julio's number is x.
The expression would be:
-7 * (x - 15) = -175
x - 15 = -175/-7
x = -175/-7 + 15
x = 40
A quadrilateral has no right angles, and two pair of congruent, parallel sides. What is the figure
Answer:
rhombus, or a parallelogram
Step-by-step explanation:
What is 8grams as a fraction of 4kg (but as a simplified fraction)
Answer:
1/500
Step-by-step explanation:
4kg = 4000 grams
8 / 4000 simplifies to 1/500
Step-by-step explanation:
What is 8grams as a fraction of 4kg (but as a simplified
I’ll mark u brainlist if u will answer the question above.
Answer:
it's C. 5
Step-by-step explanation:
When x = 2
y = 13 - 4 * 2
= 13 - 8
= 5
Hope it will help :)❤
Pl help is for homwork
Answer:
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
Given equations are:
a + b = 8 Eqn 1
0.95a + 1.10b = 8.05 Eqn 2
As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.
Multiplying Eqn 1 by 0.95
0.95(a+b=8)
0.95a+0.95b=7.60 Eqn 3
Subtracting Eqn 3 from Eqn 2
(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60
0.95a+1.10b-0.95a-0.95b=0.45
0.15b = 0.45
Dividing both sides by 0.15
[tex]\frac{0.15b}{0.15}=\frac{0.45}{0.15}\\b = 3[/tex]
Hence,
Sabrina bought 3 pounds of bananas.
The Boyle family drove at an average speed of 60 miles per hour. They drove for 4 hours. How far did the Boyle family drive?
Answer:
240 miles?
Step-by-step explanation:
Can someone please help me with this?
Answer:
the answer is c
Step-by-step explanation:
please help me before i fail!!! Solve for X
7^7/7^3 = 7^x
Answer: x = 4
Step-by-step explanation:
First, we must divide the two, its in a fraction, and as you should know, when we divide exponents, you subtract the exponent on the numerator by the exponent on the denominator. So in this case we are doing 7 - 3 which is equal to 5.
[tex]7^5 = 7^x[/tex]
[tex]7^5 = 7^5[/tex]
Then we still need to subtract [tex]7^1[/tex] from [tex]7^5[/tex].
So our answer is [tex]7^4[/tex]
Answer: x = 4
Select the better deal in the pair. Then give the unit rate for the better deal.
$210/7g or $264/8g
Fifty people who watch television were recently polled as to
which type of program they preferred. The results are shown in
the table.
What percent of those surveyed preferred to watch new programs?
Answer:
A) 10%
Step-by-step explanation:
take the number who like to watch news and divide by 50 (total number)
5/50 = 0.1
multiply by 100 to get percent
.1 x 100 = 10
10%
Drag the tiles to match the behavior of the graph of a function with the slope of its graph.
negative slope zero slope positive slope
Answer:
positive, negative, zero
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
The answer is x = 12.
Step-by-step explanation:
We can solve this using proportion.
[tex] \frac{x}{2} = \frac{66}{12 } \\ \\ \frac{132}{12} = \frac{12x}{12} \\ \\ x = 11[/tex]
Can someone help me please!
Answer:
divide the numerator by the denominator
A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
Answer:
the group rents is 11 person tubes and there is 4 cooler tubes
Step-by-step explanation:
The computation is shown below:
The equation are as follows:
x + y = 15
y = 15 - x
And, the cost of person tube is $20
The cost of the cooler tube is $12.50
The total spending is $270
Now the equation is
20x + 12.50y = 270
Now put the value of y in the above equation
20x + 12.50(15 - x) = 270
20x + 187.50 - 12.50x = 270
20x - 12.50x + 187.50 = 270
7.50x + 187.50 = 270
7.50x = 270 - 187.50
7.50x = 82.50
x= 11
Now put the value of y in any of the equation
y = 15 - 11
= 4
So, the group rents is 11 person tubes and there is 4 cooler tubes
Order each value from least to greatest ---- one being the least and five being the greatest.
Answer:
3 2 5 4 1 in that order :D
Step-by-step explanation: