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andreyandreev [35.5K]
3 years ago
5

20 POINTS HELP ME PLEASE How many solutions does the system have

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

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Please help!
Aloiza [94]

Answer:

4 \sin( \frac{2}{7}x )  + 1

Step-by-step explanation:

Let use the basic function of sin first.

Since the midline is 1 and the max point is 5, the amplitude is 4.

The midline is 1 since the midline is at 0,1.

Since we know the distance of the max and midline x values

We can multiply that by 4 to find our period.

\frac{7\pi}{4}    \times 4 = 7\pi

Use the equation 2pi/b to find the b we would use in our equation.

\frac{2\pi}{b}  = 7\pi

The answer is

\frac{2}{7}

so our equation is

4 \sin( \frac{2}{7}x )   + 1

3 0
2 years ago
A cereal box says that now it contains 40% more. Originally, it came with 24 ounces of cereal. How much cereal does the box come
kondaur [170]

Answer:

36 oz

Step-by-step explanation:

multiply 24 by 104% because there is the original amount and 40% more

8 0
2 years ago
A chemist has 500 ml of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the gr
prohojiy [21]

Answer: The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

3 0
3 years ago
HELP PLEASE BE QUICK
rewona [7]

Answer:

Radius is 2 centimeters

Step-by-step explanation:

<u>4π is the area of a circle</u>

<u>Area of a circle = πr^2</u>

4π / π = πr^2 / π

sqrt(4) = sqrt(r^2)

2 = r

Answer:  Radius is 2 centimeters

4 0
3 years ago
Solve. −4/3x + 1/6 &lt; 7/9 PLEASE ANSWER IN THE NEXT HOUR!AND CHECK YOUR WORK AS WELL!
Anna35 [415]
-4/3x + 1/6 < 7/9

-4/3x < 7/9 - 1/6           7/9 - 1/6 = 42/54 - 9/54 = 33/54 = 11/18

-4/3x < 11/18

-x < 11/18 ÷ 4/3            11/18 ÷ 4/3 = 11/24

-x < 11/24

x > -11/24
5 0
3 years ago
Read 2 more answers
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