Can someone help me find the solution or coordinates of these equations algebraically ?

y= -x^2 +4
y= 3x+4

Answers

Answer 1

Answer:

The solutions are (0, 4) and (-3, -5).

Step-by-step explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2  + 4 = -9 + 4 = -5.


Related Questions

Evaluate 5 + 1.3 • 8.7

Answers

Step-by-step explanation:

16.31

.......................

Answer:

16.31

Step-by-step explanation:

You want to start with multiplying because of PEMDAS, so

1.3 x 8.7

so 7 x 3 = 21, and carry the two, then 7 x 1 = 7 + 2 = 9.

at the bottom you now have that it equals 9.1

so, now you start your next line and put a 0.

then, 8 x 3 = 24, of course carry the 2, and 8 x 1 = 8 + 2 = 10.

you will now have 10.40 under that

you then add 9.1 + 10.40 to get your answer of

11.31

lastly, just simply add

11.31 + 5

and you get your final answer of 16.31

The difference between a and b is 12. The number a is 5 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of aand b?

Answers

Answer:

a+b=12

3b+5=a

Step-by-step explanation:

The area of a square is 36 square centimeters. A rectangle has the same perimeter as the square. The length of the rectangle is twice the width what is the area of the rectangle in sq cm?

Answers

Answer:32sq cm

Step-by-step explanation:

area of square 36

sides are then 6 by 6

6+6+6+6=24

24 can be made into 4+4+8+8 8 is twice as much as 4 8x4=32

What is the rate of change of a function over a specified interval?

Answers

Answer:

The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.

Step-by-step explanation:

hope this helps plz mrk brainliest

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What is the slope of the equation y=5/4 x -7/4

Answers

Answer:

5/4

Step-by-step explanation:

The slope intercept form for a linear equation is y = mx + b. The variable's (x) coefficient, which is represented as m, is the slope of any linear equation.

Answer:

5/4

Step-by-step explanation:

Got it right

Find the surface area of the figure. Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, thus

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:65

Step-by-step explanation:

2x+15=145. Because opposite angles are equal

2x+15=145

Collect like terms

2x=145-15

2x=130

Divide both sides by 2

2x/2=130/2

x=65

Find the area for this problem. Will mark brainliest.

Answers

Answer:

166.5

20 characters bla blah

Answer:

166.5cm²

Step-by-step explanation:

18.5×9=166.5

In a board game, when you land on a specific square, you must roll a die. If the result is an odd number, you receive four times the result, in dollars. If the result is even, you must pay five times the result, in dollars.
Determine the expectation.

a. 5 - 4
b. 4 x ( 1 + 3 + 5) x 1/2 - 5 ( 2 + 4 + 6) x 1/2
c. 0
d. 5 x 1/2 - 4 x 1/2

Answers

Answer:

Option B is correct.

It represents exactly the expectation.

Hope this helps!

:)

Answer:

The answer is B

STEP BY STEP EXPLANATION BOIZ:

if its an odd number four times the result   = 4 x (1 + 3 + 5)

If result is even you must pay five times the result = 5(2 + 4 + 6)

So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer

Hope dis helped :3  o(* ̄▽ ̄*)ブ

Help! I need to idenfity the clusters, strays, and gaps!!

Answers

that’s easy just look at the point on the graph and see where they are places me

What are the zeros of the function shown in the graph?

Answers

Answer: x = 2, -4

Step-by-step explanation:

The zeros of a function are where the function crosses the x-axis, in this case, the function crosses the x-axis at 2 and -4, so 2 and -4 are the zeros of this function.

Hope this helps.

Answer:

By definition, the zeros of a function f(x) are all the values x for which f(x) = 0. In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x. Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.

1) Find a quadratic equation that has solutions x = 0 and x = 5 Give your answer
without brackets.

2) Find a quadratic equation that has two solutions x = 7
Give your answer without brackets.

Answers

1) You need to work this problem backwards.

x=0 and x=5 and those are the roots so the factoring must have looked something like this:

(x-0)(x-5) Then you would FOIL it:

x^2-5x-0-0 Then simplify:

x^2-5x.

2) Do the same thing with this problem.

x=7 and x=7

(x-7)(x-7)

x^2-7x-7x+49

x^2-14x+49

I hope that this helps.

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

three-fourths the square of a number

Answers

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Can someone help with step by step

Answers

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?

Answers

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Matt is correct

Step-by-step explanation: length x width x height so it's D

one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both

Answers

Answer:

y = -6.5 and x = 2

Step-by-step explanation:

Let one negative number be -y and another number be x

We are given that one negative number is 4.5 more than another number

So, -y=x+4.5

We are also given that The sum of the squares of these numbers is 46.25.

So,[tex]x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\[/tex]

x=-6.5,2

When x = -6.5

-y=x+4.5

-y=-6.5+4.5

-y=-2

y=2

When x = 2

-y=x+4.5

-y=2+4.5

-y=6.5

y=-6.5

So, y = -6.5 and x = 2

(DO NOT GIVE ANSWER!
Please just explain how to get the answer, thank you! )
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?

Answers

Answer:

----

Step-by-step explanation:

My answer was wrong...

No way to delete...

Find the area of the shaded region.

Express the area in factored form.

Answers

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

HELP PLEASE
Hudson has xx nickels and yy dimes. He has at most 13 coins worth at least $1 combined. Solve this system of inequalities graphically and determine one possible solution.
I NEED THE 2 INEQUALITIES, AND THE ANSWER

Answers

Answer: $ 12.05

Step-by-step explanation:

Answer:

Step-by-step explanation:

IF I HAVE 130 POP CORN AND I TAKE AWAY 30 WHATWOULD THE AWNSER BE A.30 B. 100 C.20 D.130 I AREADY KNO IT YALL JUST HAVE TO GUESS IF YALL WANT A BRAINLEST

Answers

Answer:

b. 100

Step-by-step explanation:

Answer:

B. 100

Why are you doing this?

In the circus, a lion has been trained to jump through a ring of fire that has a radius of 4 feet. What is the rings circumference? Use 3.14 for

Answers

Answer:

25.12

Step-by-step explanation:

1) use the formula: circumference=2×3.14×radius

2) then plug in the radius,which is 4

which is now 2×3.14×4

3) plug that into a calculator in which you will have 25.12 as your answer

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

this is the other part! please help!

Answers

Answer:

Line B

Step-by-step explanation:

Line b is the the correct answer because the line has the most dots near or on it

Yea I say it’s line b

Math question down below

Answers

Answer:

6 and 3/4

Step-by-step explanation:

add all of the ones before 2 1/2

I really need help figuring out what x and y are

Answers

Answer:

x = 44, y = 37

Step-by-step explanation:

∠1 and ∠ 4 are adjacent angles and are supplementary, thus

3x + 4 + x = 180

4x + 4 = 180 ( subtract 4 from both sides )

4x = 176 ( divide both sides by 4 )

x = 44

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

∠ 1 and ∠ 3 are vertical angles and congruent, thus

4y - 12 = 3x + 4 = 3(44) + 4 = 132 + 4 = 136 ( add 12 to both sides )

4y = 148 ( divide both sides by 4 )

y = 37

The slope intercept equation

Answers

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

50 Pts, Please help me, dont answer if you dont know how to help me please. id appreciate it, will give brainliest.

Answers

Answer:

Isnt the best way to explain a question

Step-by-step explanation:

But mostly the first row would be F,M,F,F,M

Please round 0.02623 to the nearest hundred.
||||
Thank you guys! please answer soon!

Answers

Answer:

0.03

Step-by-step explanation:

6 is greater then 5, so you add 1 to 2 making 0.03

Answer:

0.03

Step-by-step explanation:

the digit after the first 2 is a 6 and you always round up so it would be 0.03.

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