how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1

Answers

Answer 1

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)


Related Questions

A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *

Answers

Answer:

3.7 meters

Step-by-step explanation:

First, convert the fractions into decimals.

5 1/5 = 5.2

1 1/2 = 1.5

Then subtract them

5.2-1.5=3.7 meters!

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

hellp and u git a braintasic

Answers

Answer:

whats the question??  lol

Step-by-step explanation:

A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answers

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

0.12 to the nearest tenth

Answers

Answer:

0.1

Step-by-step explanation:

hope this helps

Answer: 0.1 / 0.10

Step-by-step explanation:

since the 2 is lower than 5 - it turns into 0

hope this helped ! :>

What is 95/18 as a decimal?

Please include an explanation and the correct answer!

I will give brainliest to the best answer!

I need it in the next 5 mins!

Thank you!

Answers

Answer:

5.27777777

repeating 7s forever

rounded to 2 decimal places is:. 5.28

Hey there!

In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)

Here’s the formula

a/b = a ÷ b = [decimal form]

ANSWERING YOUR QUESTION

95/18

= 95 ÷ 18

= 5.277778 ≈ 5.3 or 5.28

Therefore, your answer is: 5.277778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x

Answers

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

A is 4 but I’m not sure about b

If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?

Answers

Answer:

It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km

Step-by-step explanation:

I just need the answer to the first question (16) plz thx

A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range

Answers

Answer:

  a) g(0) = -4

  b) x = -2 or +2 for g(x) = 0

  c) domain: all real numbers; range: y ≥ -4

Step-by-step explanation:

a)

g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.

__

b)

g(x) = 0 where the graph crosses the x-axis. The x-values there are ...

  x = -2 and x = 2

__

c)

The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."

The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.

  y ≥ -4 . . . . range

HELP ME PLEASE I NEED HELP WITH THIS

Answers

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?

Answers

Answer:

112

Step-by-step explanation:

Oscar has baskets that each contain 25 apples. Each day 2 apples are
eaten from each basket. Oscar has (25 – 2d) apples left afterd days in
one basket. If Oscar has 7 baskets of apples, how many apples are left
after d days?

Answers

Answer:

  175 -14d

Step-by-step explanation:

There will be 7 times as many as in one basket.

 7(25 -2d) = 175 -14d . . . . total apples left

need help gotta turn in at midnight​

Answers

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

Can a right angle be formed by acute angles?

Answers

Answer:

Yes, 2 or more acute angles can be in a right angle based on the degree.

Step-by-step explanation:

A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.

What is the surface area of the rectangular prism below?

Answers

Answer:

is 736 units

Step-by-step explanation:

my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706

The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.

The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.

The area of a rectangle is given by:

area = length * breadth

The surface area of the rectangular prism is then given by:

surface area = 2 * (length * breadth + breadth * height + height * length)

Plugging in the values for the length, breadth, and height, we get:

surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units

Therefore, the surface area of the rectangular prism is A) 736 square units.

Here is a breakdown of the surface area of each of the faces:

Front face: 19 * 8 = 152 square units

Back face: 19 * 8 = 152 square units

Top face: 8 * 8 = 64 square units

Bottom face: 8 * 8 = 64 square units

Left face: 19 * 8 = 152 square units

Right face: 19 * 8 = 152 square units

The total surface area is the sum of the areas of all 6 faces, which is 736 square units.

To learn more about surface area here:

https://brainly.com/question/29298005

#SPJ2

someone pleeeeease help me

Answers

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

Can anyone solve and explain part b

Answers

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.

Answers

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

n = 15s = 0.67

Variable s

In regression, the variable s represents the average distance that the observed values fall from the regression line

The grade points

In this case, we have:

The observed grade points and The predicted grade points

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

Read more about regression at:

https://brainly.com/question/25472374

please answer i'll mark brainliest

Answers

Answer:

X=-10 Y=-3

Step-by-step explanation:

can anyone help me pls ??

Answers

Answer:

A

Step-by-step explanation:

Volume of a cylinder= πr² *height.height=volume÷πr²height=250÷π(which in this case we are using 3.14)3²height=8.85=A

the given cube has a mass of 173 grams, what is it’s density

Answers

Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.

Answers

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

The answer is 49/55!

Write
[tex] \frac{10}{12} [/tex]
in simplest form​

Answers

[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]

Answer:

5/6

Step-by-step explanation:

10 ÷ 2/12 ÷ 2=> 5/6

Conclusion:

Therefore, the simplified form of 10/12 is 5/6.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What proportion of US women have a height greater than 69.5 inches?

Answers

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].

The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69.5 - 65}{2.5}[/tex]

[tex]Z = 1.8[/tex]

[tex]Z = 1.8[/tex] has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at https://brainly.com/question/24663213

Which function has a more negative slope?

Answers

Answer:

  A.  Function 1

Step-by-step explanation:

The slope of Function 2 can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -(-2))/(3 -0) = -6/3

__

The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:

  y = mx + b . . . . . . equation with slope m and y-intercept b

The slope of Function 1 is -7/3.

-7/3 is more negative than -6/3, so Function 1 has the more negative slope.

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

Gabrielle's age is three times Mikhail's age. The sum of their ages is 20 . What is Mikhail's age?

Answers

Answer:

I think Mikhail's age is 5

The question say Gabrielle's age is 3 times his

so 5 × 3 = 15

15 + 5 = 20

help me with this pls

Answers

Answer:

Yes they both = 125

Step-by-step explanation:

if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.

Answers

Answer: Savers Lose

Step-by-step explanation: I had this question

The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.

Answers

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

Read more about quadratic functions at:

https://brainly.com/question/11631534

Other Questions
My midterm in Spanish i have 32 questions and im on 11 A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80when rounded to the nearest ten. Determine the integer side length. equivalent ratio tables The ratio between an exterior angle and the interior angle of a regular polygon is 1: 3. Find the number of sides of that polygon. Please help D: What is an allotrope?a) The same atom with a different number of neutronsb) A radioactive substancec) An alternative form of an elementd) Diamond Once the president has formally nominated an individual for a federal judgeship, the nominee Answer to this question What an object conveys about the important events, advancements, and people of a specific time period is calledtheO cultural significance.O historical anecdote.O historical significance.O cultural importance. Which numbers between 10 and 99 have digits that differ by 4 and add to 6 According to Hebrews 11, what did Abraham believe God would do if Isaac was slain as a sacrifice? Which three statements about the gilded age are true. Which formula represents a molecule having a nonpolar covalent bond?. How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts. x y0 01 32 53 9 Plz I need help! On these 3 questions! Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3) evaluate the expression for h= -6. A book with a. mass of 1 kg is sliding on a table. If the frictional force on the book is 5 N, calculate the books acceleration. Is it speeding up or slowing down? Which neurons are responsible forpassing the collected information toother neurons or can respond on theirown?A. interneuronsB. motor neuronsC. sensory neuronsD. glial neurons How can the introduction of a new species into an area effect the land, the flow of water, the atmosphere , and /or the other living things ? Mean for population data