Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.​

Answers

Answer 1

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

[subtract 2x] 3x = 0

Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Check this with the other equation.

y = 2(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Your answer is correct!

(0, 4)


Related Questions

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

The measure of the other leg of the right triangle is equal to 8 cm.

Let the other leg of the right triangle be the opposite side.

Given the following data:

Adjacent = 6 cmHypotenuse = 10 cm

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]

Opposite = 8 cm

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need to pass this class please help!

Answers

Answer:

a=65

Step-by-step explanation:

in a right angle theres 90 degrees.

90-25=65

That’s a complementary angle. Which means it adds up to 90 degrees. So to find the missing angle. Take what you have for both angles and add them up to equal 90 degrees:
25+a=90
a=65
Now to double check if the two angles add up to 90 degrees:
25+65=90
65 is the missing angle

PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?

Answers

Answer:

5

Step-by-step explanation:

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip

Answers

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

Learn more about equations here;

https://brainly.com/question/25180086

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Match each type of investment with its disadvantage.
T-bills
Property
A-rated bonds
Stocks
lesser return
arrowRight
higher risk
arrowRight
costly and time-consuming
arrowRight
no steady cash flow
arrowRight

Answers

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Please help will give brainliest

At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²

Answers

Answer:

(A) V = π(8)²h

Would a prism with a volume of 36 be the same if built with centimeter cubes, inch cubes, or foot cubes?

Answers

Answer:

Yes

Step-by-step explanation:

It is given that a prism is built that have a volume of 36.

Now if the prism is rebuild with either centimeter cubes or the inch cubes or foot cubes will have the same volume of 36 as the volume here is constant. The centimeter cubes used to build the prism will be smaller in size and will require more of the cubes to build the cube for a volume of 36.

Similarly, if we take inch cubes or the foot cubes, to build a prism having a volume of 36, we need to take less number of the cubes accordingly.

how do i solve this??​

Answers

You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

ms tyc does yoga. she worked out a total of 255.5 minutes last week.she exercised 7 days.how many minutes does she exercise each day?

Answers

Answer:

36.5

Step-by-step explanation:

255.5/7 = 36.5

HELP ME PLSS BRAINIEST

Answers

(x-7)^2 = 12
Explaination: it’s the answer trust me on this one :D
I just need points but u already got ur answer so yeah have a nice day :)

If 6c-d=17, then d=

Answers

Answer:d=7

Step-by-step explanation:

Easy math

There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.

Answers

Answer:

3/13

Step-by-step explanation:

Here is the full question

There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.

Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6

probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel

7/14 x 6/13 = 3/13

Pls need help thank you

Answers

Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 6 +n + 5b. Jake says that 5 is a coefficient and 6 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made? (Used, two separate answers as needed)

Answers

Answer:

Jake doesn't include 1 as constant.

Step-by-step explanation:

The given expression is  6+n+5b.

Jake says that 5 is a coefficient and 6 is a constant.

In this case, the coefficient is 5.

Constants are 6 and 1.

And variables are n and b.

Hence, Jake doesn't include 1 as constant.

Briooooo wat is dis answer I need HELP

Answers

Answer:

Mehmed II

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

a^2-36=5a

A. {4,-9}
B. {5+√61/2, 5-√61/2}
C. No solution
D. {9,-4}

Answers

Answer:

D

Step-by-step explanation:

Given

a² - 36 = 5a ( subtract 5a from both sides )

a² - 5a - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the a- term (- 5)

The factors are - 9 and + 4 , since

- 9 × + 4 = - 36 and - 9 + 4 = - 5 , then

(a - 9)(a + 4) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 9 = 0 ⇒ a = 9

a + 4 = 0 ⇒ a = - 4

solution is { - 9, 4 } → D

Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?

Answers

Answer:

172,872÷6=28,812.33 I believe this is the answer

Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1

Answers

Answer:
Correct answer: aₙ = a₁ · 2ⁿ⁻¹
Step-by-step explanation:
Given: Geometric sequence
64, 128, 256, 512, .....
First term a₁ = 64
Second term a₂ = a₁ · 2 = 128
Third term a₃ = a₂ · 2 = a₁ · 2² = 256
Fourth term a₄ = a₃ · 2 = a₁ · 2³ = 512
...................................................
n - th term aₙ = a₁ · 2ⁿ⁻¹
God is with you!!!

Find the measure of the missing angle *

Answers

Answer:

≈ 49.9° and ≈ 71.0°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )

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

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )

which function represents the data

Answers

There is nothing attached
Where is the photo????

Helpppppppp pleaseeeeeeee and can you give an explenations also?

Answers

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

17.65 - 3.619 in nearest tenth​

Answers

ok

guys

ok

guys

ok

LOL

LOL

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17.65-3.619=14.031
Round to nearest tenth 14.0

PLEASE HELP ME WITH THIS QUESTION!!

Answers

Answer: Never produce a rational numbers

Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.

What is the factored form?

Answers

Answer:

(b − 10)(b^2 + 10b + 100)

Step-by-step explanation:

The measures of the exterior angles of an octagon are x°, 2x°, 4xº, 5x°, 6x°, 8xº,
9x", and 10x°. Find the measure of the smallest exterior angle.

Answers

Answer:

Step-by-step explanation:

The sum of the measures of the exterior angles of a any polygon = 360.

So,  x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360

        45x = 360

            x = 8°

The measure of the smallest exterior angle would be equal to

What is Octagon ?

In geometry, a Octagon is a eight - sided polygon. For a [n] sided polygon -

Sum of interior angles = (n - 2) × 180°Each interior angle of a regular polygon = [(n − 2) × 180°/n]Sum of exterior angles = 360°

According to the question, we have - A Octagon and the measures of the exterior angles of an octagon are x°, 2x°, 4x°, 5x°, 6x°, 8x°, 9x° and 10x°.

The sum of the exterior angles of the octagon will be 360°.

Therefore, we can write -

x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360°

45x = 360°

x = 360/45

x = 8

The smallest exterior angle would be equal to [x]° =

Therefore, the measure of the smallest exterior angle would be equal to

To solve more questions on Polygons, visit the link below -

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help will be very appreciated :)

Answers

Answer:
Angles 2,5, and 6 are all 138.
Angles 1,3,4, and 7 are all 42.

Explanation: 180-138=42

Answer:

1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees

Step-by-step explanation:

since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.

The price per night for a hotel room is different at three different hotels. Hotel Nights Price (in dollars) A AA 3 33 192 192192 B BB 5 55 300 300300 C CC 7 77 455 455455

Answers

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65


Which section of the graph is decreasing?

Answers

Answer:

I would go with answer B

Step-by-step explanation:

The starting of the decreasing is B and slowly decreases down to C

What is |-26|?

(a) -26,

(b) 26,

(c) 0,

(d) 1

Answers

Answer:

(b)26

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?

Answers

Answer:

13000m

Step-by-step explanation:

Given data

Total distance travelled=  65,000

Number of days= 5 days

Hence the distance covered per day is

= 65,000/5

=13000m

Therefore the distance covered per day is 13000m

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