How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
Answers
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-by-step explanation:
You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.
An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...
0 = 2 -3x -2x^2
x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2
(x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square
(x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square
x +3/4 = ±5/4 . . . . . . . take the square root
x = -3/4 ±5/4 = -8/4, +2/4
The x-intercepts are -2 and +1/2.
__
A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...
y^2 = 2 -0 -0
y = ±√2
The y-intercepts are -√2 and +√2.
_____
A graphing calculator can give you a good idea of what the intercepts are.
Related Questions
The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?
Answers
8000 hope it helps :) :)
Answer:
8000
Step-by-step explanation:
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answers
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answers
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
find the nth term of 1,6,11,16
Answers
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
I put the question in a doc cuz its a screenshot, please help
Answers
Answer:
53 po ang tamang sagot po
Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
75/4
Step-by-step explanation:
b+2/3=11/4
3b+2/3=11/4
3b+2=11×3/4
3b=33-2/4
3b=33-8/4
3b=25/4
b=25×3/4
b=75/4
The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
b + 2/3 = 1 ¹/₄
Convert the mixed fraction into a fraction number, then we have
b + 2/3 = 5/4
Simplify the equation, then we have
b = 5/4 - 2/3
b = 7/12
The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
Answers
Answer:
100
Step-by-step explanation:
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answers
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
Is x+y=10 linear or non
Answers
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.
Answers
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.
Answers
Answer:
first one is yellow
Step-by-step explanation:
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answers
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
5p + 3 = 15
please convert this into a WORD PROBLEM
Answers
Answer:
What is the value of p if 5p+3=15
Answer:
When the product of 5 number and a number is added to 3 result is 15. Find the number.
what is the coefficient of the first term in the expression 8x+3y+4
a: y
b: 3
c: x
d: 8
Answers
Answer:
d
Step-by-step explanation:
the first term is 8x. 8 is the coefficient and x is the base. so the answer is 8.
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Answers
Answer: 35.113
Hope this helps!
it takes minutes to do 7 math problems how long does it take to do 20 math problems
Answers
Answer:
can you please explain that a little more
At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answers
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
A rock has a mass of 126 grams and a density
of 1.8 grams/cm.
Work out the volume of the rock.
Answers
Answer: 70 grams^3
Step-by-step explanation: volume = mass/density volume = 126/1.8 volume = 70 grams^3
The value of the volume of the rock will be;
⇒ Volume = 70 cm³
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mass of rock = 126 grams
The density of rock = 1.8 grams/cm
Now,
Since, We know that;
⇒ Volume = Mass / Density
Here, The mass of rock = 126 grams
The density of rock = 1.8 grams/cm³
Substitute all the values we get;
⇒ Volume = Mass / Density
⇒ Volume = 126 / 1.8
⇒ Volume = 70 cm³
Thus, The value of the volume of the rock will be;
⇒ Volume = 70 cm³
Learn more about the divide visit:
https://brainly.com/question/315081
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help pls <_> my sister needs it
Answers
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
A countertop is 13 feet long and 2 feet wide.
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
Answers
Answer:
A = 2.42 sq. meters
Step-by-step explanation:
13 feet = 13 × 0.305 = 3.965 meter
2 feet = 2 × 0.305 = 0.61 meter
A = lw
A = (3.965) × (0.61)
A = 2.41865 sq. meters
A = 2.42 sq. meters
In the expression 4ab + 5a
- 3c, what is the coefficient of the term 4ab ?
Answers
Answer:
4
Step-by-step explanation:
coefficients are the numbers in a term, and the letter is called constant
Answer:
4
Step-by-step explanation:
The numeric value of the term is called the coefficient of the term.
the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
Answers
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
PLEASE HELP THIS IS DUE TOMORROW
Answers
Answer:
Step-by-step explanation:
what equation is equal to 2x+3y=12
Answers
Answer:
y=-2/3x+4
Step-by-step explanation:
2x+3y=12 --- rewrite so it looks like y=mx+b
3y=-2x+12
y=-2/3x+4
NEED ANSWER ASAP PLEASE
Use the graph to answer the questions.
What is the price at which the supply and demand equalize (there will be no extra or shortage of product?)
a. $2
b. $8
c. $4
d. $6
What is the quantity at which the supply and demand of this product will equalize?
1. 400 units
2. 300 units
3. 600 units
4. 200 units
Answers
2. 300
adding more cuz character limit
Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?
Answers
Answer:
2 wings/dollar
Step-by-step explanation:
The unit cost is $4 / 8 wings, or $0.50/wing. This is equivalent to 2 wings/dollar.
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answers
Answer:
I think it's B.
Step-by-step explanation:
:)
how can you solve this (3/4 - 1/5)
Answers
Answer:
11/20
Step-by-step explanation:
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answers
Answer: 3/6 or 1/2
Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.
Answer:
1/2 cups of strawberries is required.
Step-by-step explanation:
1 pie = 1/6 cups of strawberries
=> 3 pies = 1/6 x 3
=> 3 pies = 1/2 cups of strawberries.
Hoped this helped.
Can someone help me with this I’m confused?
Answers
the answer is 2/6, but you can reduce it by 1/2 which is 1/3
