solve the system by graphing y=2x^2+3x+1. Y=2x+1
the solution to the system of equations by graphing is [tex]\( (0,1), (-5/2,6) \)[/tex]
The correct option is (C).
The generated image above represents a graphical solution to the system of equations given:
[tex]\[ y = 2x^2 + 3x + 1 \][/tex]
[tex]\[ y = -2x + 1 \][/tex]
However, the graph does not clearly show the exact points of intersection between the parabola and the line. To find the solutions accurately, we would typically set the two equations equal to each other and solve for [tex]\( x \)[/tex]:
[tex]\[ 2x^2 + 3x + 1 = -2x + 1 \][/tex]
Solving this equation algebraically will give us the [tex]\( x \)[/tex]-coordinates of the points of intersection. The corresponding [tex]\( y \)[/tex]-values can then be found by substituting these [tex]\( x \)[/tex]-values back into either of the original equations.
Since I cannot perform this algebraic computation at the moment, you can solve the equation using the following steps:
1. Move all terms to one side of the equation to set it to zero.
2. Solve the resulting quadratic equation, either by factoring, completing the square, or using the quadratic formula.
3. Substitute the [tex]\( x \)[/tex]-values back into one of the original equations to find the [tex]\( y \)[/tex]-values.
Therefore, the correct option that represents the solution to the system of equations by graphing is:
C. [tex]\( (0,1), (-5/2,6) \)[/tex]
complete question given below:
Solve the system by graphing. y=2x^2+3x+1 y=-2x+1
A. (1,3), (4,7)
B. (1,3), (1/2,3)
C. (0,1), (-5/2,6)
D. (-5,5), (4,-2)
what is the area of the figure?
How do you convert 10/6 into a mixed number
If s is true and j is false, is the following true or false (~s v j) ^ (s v~ j)
Anna saves 5/8 of her money. What percent of her money does Anna save?
Zero point zero six divided by one hundred twenty two
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours or 1 hour 36 minutes
Step-by-step explanation:
We have been given an equation [tex]t=\frac{1}{500}d[/tex], where d represents distance traveled in miles and t represents time in hours.
To find the time taken by the flight to travel 800 miles, we will substitute [tex]d=800[/tex] in our given equation as:
[tex]t=\frac{1}{500}\times 800[/tex]
[tex]t=\frac{800}{500}[/tex]
[tex]t=\frac{8}{5}[/tex]
[tex]t=1.6[/tex]
1 hour equals 60 minutes.
0.6 hours = 0.6*60 minutes = 36 minutes.
Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.
Using the equation, it is found that it will take 1.6 hours for the airplane to travel 800 miles.
The equation that relates the time in hours needed to travel d miles is given by:
[tex]t = \frac{1}{500}d[/tex]
In this problem, we want the time needed to travel 800 miles, thus [tex]d = 800[/tex], and:
[tex]t = \frac{1}{500}(800) = \frac{800}{500} = 1.6[/tex]
It will take 1.6 hours for the airplane to travel 800 miles.
A similar problem is given at https://brainly.com/question/24316569
Two more than four times the sum of yesterday's high temperatures in degrees Fahrenheit and 7 is equal to the current temperature in degrees Fahrenheit.
a. Write an expression for the current temperature using t as yesterday's high temperature in your expression.
b. simplify the expression
c. if yesterday's high temperature was 3 degrees Fahrenheit, what is the current temperature?
Which expression is equivalent to-8+7.25-6+0.5
The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.
Explanation:To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.
First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.
The equivalent expression is hence -6.25.
Name all segments skew to GF.
D is the wrong answer.
500 - 137 = to what
how do you write S is the set of natural numbers that are less than 8 in roster form
In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:
{1, 2, 3, 4, 5, 6, 7}
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive ?
PLEASE HELP I WILL GIVE 50 POINTS
Using the distributive property, an expression equivalent to 48 + 30 is
5(6 + 8).
(6)(8) + (3)(10).
(3)(16) + (6)(5).
6(8 + 5).
Answer:
Step-by-step explanation:
78
The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m. The problem: (2,1), m=2
how can you evaluate |-5|
A 32 mb memory stick can hold up to 491 images. How many images can 7 memory sticks hold?
To find out how many images 7 memory sticks can hold, multiply the number of images one memory stick can hold by the number of memory sticks.
Explanation:To find out how many images 7 memory sticks can hold, we need to multiply the number of images one memory stick can hold by the number of memory sticks. In this case, each memory stick can hold 491 images, so to find out how many images 7 memory sticks can hold, we calculate:
Number of images = Number of memory sticks × Number of images per memory stick = 7 × 491 = 3437 images
Therefore, 7 memory sticks can hold 3437 images.
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Jeremy is practicing some tricks on his skateboard. One trick takes him forward 5 feet, then he flips around and moves backwards 7.2 feet, then he moves forward again for 2.2 feet. A: What expression could be used to find how far Jeremy is from his starting position when he finishes the trick? B: How far from his starting point is he when he finishes the trick?
Answer: 5ft - 7.2ft +2.2 ft = 0
When he finishes the trick he will be in the starting point.
Step-by-step explanation:
Hi, to write the expression we have to analyze the information given:
Forward: 5 feet Backwards: 7.2 feet Forward: 2.2 feetSo, we simply have to sum the tricks that takes him forward and subtract the tricks that take him backwards.
Mathematically speaking:
5ft - 7.2ft +2.2 ft = 0When he finishes the trick he will be in the starting point, because the expression equals 0.
Feel free to ask for more if it´s necessary or if you did not understand something.
Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to collect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Rachel collects 3/4 or 75% of Bryce's goal if they both meet their goals in the canned goods drive
The question involves determining what fraction of Bryce's goal Rachel collects if they both meet their personal goals for a canned goods drive. Bryce's goal is to collect 32 items, and Rachel's goal is to collect 24 items. To find the fraction of Bryce's goal that Rachel collects, you divide Rachel's goal by Bryce's goal.
Here's the calculation:
Rachel's collection / Bryce's collection = 24 / 32 = 3/4
This means that Rachel collects 3/4 or 75% of the number of items that Bryce collects
math question down below
Identify the like terms.
2a, –2b, 2ab, –13ab
A.
2a, –2b, 2ab
B.
2ab, –13ab
C.
2a, 2ab
D.
2a, –2b
how do you write the number 7.04 in expanded form?
Your heart beats 240 times in 4 minutes what is your heart rate in beats per second
Eric conducted a survey of the cars in four parking lots and wrote the following observations: 15 of the 36 cars in lot 1 were blue 43 of the 92 cars in lot 2 were blue 12 of the 30 cars in lot 3 were blue 32 of the 52 cars in lot 4 were blue based on the survey, which parking lot had the greatest present age of blue cars
The percentage of blue cars in the lot is the ratio of the number of blue cars to the total number of cars in each lot ; Hence, lot D has the greatest percentage of blue cars
Percentage of blue cars in each lot :
Number of Blue cars / total number of carsLot A :
% blue cars = 15 / 36 = 0.4167
Lot B :
% blue cars = 43 / 92 = 0.4673
Lot C :
% blue cars = 12 / 30 = 0.40
Lot D :
% blue cars = 32 / 52 = 0.615
Therefore, lot D has the greatest percentage of blue cars.
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Suppose the Willard gold nugget was turned into 4 equal sized gold bricks. If one of the bricks was sold how many ounces of the Willard nugget would be left?
The number of ounces left after one brick is sold is 591.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Willard gold nuggets = 788 ounces
The number of equal-sized bricks = 4
Now,
The number of ounces in each of the 4 bricks.
= 788/4
= 197 ounces
Number of bricks sold = 1
The remaining ounces.
= 788 - 197
= 591 ounces
Thus,
The number of ounces left is 591.
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Solve for c.
a=11+4b−4c
A)c=a+b-11/-4
B)c=a+4b+11/-4
C)c=a-4b-11/-4
D)c=a-b+11/-4
the answer is c
i hope it helped!
A scooter travels 30 feee in 2 seconds.
What is the speed of the scooter in feet per second?
(If you get the question right you will be marked as brainliest.)
We have that for the Question "A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
" it can be said that the speed of the scooter in feet per second is mathematically given as
V=15ft/s
From the question we are told
A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
Generally the equation for the speed of the scooter in feet per second is mathematically given as
[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]
V=15ft/s
Therefore
the speed of the scooter in feet per second is mathematically given as
V=15ft/s
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Goldbach''s Conjecture is a famous conjecture that has never been proven true or false. The conjecture states that every even number. except 2, can be written as the sum of two prime numbers. For example, 16 can be written as 5 + 11.
is 660 ten times as many as 600?
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