How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand

Answers

Answer 1

9514 1404 393

Answer:

x-intercepts: -2, +1/2y-intercepts: ±√2

Step-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.

How Would You Find The Intercept For The Equation Y^2=2-3x-2x^2? I Need The Steps To Understand

Related Questions

Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.

Answers

Answer:

Figure B

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).

To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.

In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.

In Figure B,  if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.

Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.

Convert 55.1% to a fraction in simplest form and a decimal.

Answers

Answer:

551/10      0.551

Step-by-step explanation:

Answer:

Fraction = 551/1000

Decimal = 0.551

Step-by-step explanation:

55.1% to fraction = 55.1/100 or 551/1000

55.1% to decimal = 0.551

-Chetan K

645 plus 763 to the nearest hundredth

Answers

Answer:

1408

What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong

3. Stacy went to a pet store to buy bridles for her horse farm. She is buying the bridles for 27 horses. Each bridal is $184. How many dollars will all of the bridles cost her?

Answers

Answer:

the answer is $4968

Step-by-step explanation:

$184 x 27= 4968

Answer:

you would do this 27 x 184 = and get the answer which is $4968.

Step-by-step explanation:

hope it helps.

How to predict the charge of monatomic ions.

Answers

Answer:

by gaining or losing electrons

Step-by-step explanation:

hope it helped

brainliest pls

A 3-pack of light bulbs costs $3.27. What is the unit price

Answers

Answer:

0.91$

Step-by-step explanation:

Help please I really need it!!!

Answers

Answer:

They are similar

Step-by-step explanation:

If a triangle has the same two angle as another one it means that they are similar triangles. this is because all triangles have 180 degrees shared between all of the angles in them. that is the case for these triangles.

hope this helps!

y = 7 - 3x x=4 what is the ordered pair

Answers

Answer:

(4, -5)

Step-by-step explanation:

[tex]y=7-3x\\y=7-3(4)\\y=7-12\\y=-5[/tex]

Please Help Will mark brainliest

Answers

the answer to your question is 0.83

helpppppppppppppppppppppppppppppppp

Answers

Answer:

x ≤ -14

Step-by-step explanation:

Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $334 million in ticket sales. If Singer B took in $26 million less than Singer A, how much did each tour generate?

Answers

195 million dollars

Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.

Answers

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

Select all the options that have the same value as 3 1/2% of 20

Answers

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.

What is the distance between the points (3,7) and (15,6) on a coordinate plane ?

Answers

Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

What is the area of this tile

Answers

ANSWER: 4in^2
Explanation: 4x1=4

Answer:

4in^2

Step-by-step explanation:

1x4=4 and then ^2 because it's square inches

Write equation for the graph

Answers

Answer:

the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis

so now we have rule to use to find the equation

y/4+x/1=1

y/4=1-x

y=4-4x

and this is the equation

. A coach divided his team into two proups of equal size. 5/8 of the first group drinks at least 2 glasses of water a day. 75% of the second group drinks at least 2 glasses of water a day. What fraction of the team drinks at least 2 glasses of water a day?
a 1/2
b 5/8
c 11/6
d 3/4

Answers

Answer:

b is the answer of the question because it is the only answer

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)

Answers

Answer:

C

Step-by-step explanation:

When

f(x+3) would indicate a Shift 3 units to the left

f(x-3) indicates a Shift 3 units to the right

y+3=f(x) indicates a Shift 3 units up

y-3=f(x) indicates a Shift 3 units down

Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C

An investor invested a total of ​$3,000 in two mutual funds. One fund earned a 7​% profit while the other earned a 3​% profit. If the​ investor's total profit was ​$142​, how much was invested in each mutual​ fund?

Answers

Answer:

Step-by-step explanation:

x= fund that got 7%

y= fund that got 3%

x+y=3000

.07x+.03y=142

y=3000-x

.07x+.03(3000-x)=142

.07x+90-.03x=142

.04x=52

x= 1300

x+y=3000

1300+y=3000

y=1700

1300 in the fund that earned 7%

1700 in the fund that earned 3%

I need help. Please

Answers

Answer:  Choice A

A diagram is shown below.

====================================================

Explanation:

First we make a copy of AB. Then we tack on a copy of CD onto AB. Check out the diagram below to see what I mean. The segments AB and CD glue together to form the larger segment AD. We can say AB+CD = AD. Dividing that larger segment in half will locate the midpoint and it will help us average the lengths of AB and CD. It's the visual or geometric meaning of what "average" means.

To find the midpoint of any segment, we involve the process of finding the perpendicular bisector. Recall that "bisect" means to "cut in half". The perpendicular bisector of XM is point Y, and XY is exactly half that of segment AD.

------------

Check out the diagram below.

Figure 1 is the two segments separated, and figure 2 has us glue them together to form segment AD. Segment AD is renamed to XZ. Finding the perpendicular bisector of XZ leads to point Y at the midpoint and [tex]\text{XY} = \frac{\text{AB+CD}}{2}[/tex], which is shown in figure 3.

find the measure of angle y, 38,41,19

Answers

If this is DMS then the answer is 38.68861111 degrees

find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

[tex]90=b+65\\b= 25[/tex]

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

[tex]180=80+b\\b=100[/tex]

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

[tex]244+23+b=360\\b=93[/tex]

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

I think it’s 6) 25 7) 60 8) 93 9) 46 hope this helps :D

Additional questions!!! Please help, due today!!!

Answers

Answer:

A.

Step-by-step explanation:

?

PLEASE HELP URGENT!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

3x^2-2x+4-5x^2+6x-8 = -2x^2-8x+12

5(6a +1) = 7(4x + 3) w/steps

Answers

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!

The line passes through (10,5) and (5,20)

Answers

Answer:

0

Step-by-step explanation:

Equation of the line

(5 15) and (10 20)

Slope of the line is m =(20-15)/10-5 =5/5 =1

The line passes through (5 15)

Y-15=1(x--5)

x-y= --10

The equation of the line is

x-y+10=0

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

help me with this please!?!?!?!?!

Answers

Answer:

17/4

Step-by-step explanation:

add the fractions

can you convert the following
1/8 to decimal and percent
and show work

Answers

Answer:

0.125 as a decimal and 12.5% as a percentage

Step-by-step explanation:

1 divided by 8 to get decimal and for percent take the value and multiply it by 100

а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3

Answers

Answer:3√3

Step-by-step explanation:

tanx=opp/adj

tan60=x/3

make x the subject: 3 × tan60= x

x= 3√3 or 5.196 in decimals

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