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Leya [2.2K]
1 year ago
13

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

Mathematics
1 answer:
bija089 [108]1 year ago
3 0

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}

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Andre took 6 kicks and made 4 goals: 4 out of six. Tom wants to take more than 20 kicks and make a equivalent fraction to Andre.
Zanzabum

Answer:

Tom can either take 24 kicks and make 16 goals or 30 kicks and make 20 goals.

Step-by-step explanation:

Andre made 4 goals out of 6 kicks.

Tom wants to take more than 20 kicks and to make an equivalent fraction to Andre.

<u>Possibility 1:</u>

Let Tom makes 24 kicks.

To get 24, we need to multiply the denominator of Andre's fraction by 4.

So, \frac{4}{6} =\frac{16}{24}

Therefore, Tom can take 24 kicks and make 16 goals.


<u>Possibility 2:</u>

Let Tom makes 30 kicks.

To get 30, we need to multiply the denominator of Andre's fraction by 5.

So, \frac{4}{6} =\frac{20}{30}

Therefore, Tom can take 30 kicks and make 20 goals.



8 0
2 years ago
Answer Asap Will mark brainlest if it's right.
julsineya [31]

Answer:

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3 0
2 years ago
Tasha wanted a Burger from Burger King. The burger she wanted cost 10$. But Tasha only has 5$. How much money does she need in o
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4 0
3 years ago
All zeros of polynomial function 3x^4 +14x^2 -5
Marizza181 [45]

Answer:

Correct answer:  x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

Step-by-step explanation:

Given:

3 x⁴ + 14 x² - 5 = 0   biquadratic equation

this equation is solved by a shift  x² = t and get:

3 t² + 14 t - 5 = 0

t₁₂ = (-14 ± √14² - 4 · 3 · 5) / 2 · 3 = (-14 ± √196 + 60) / 6

t₁₂ = (-14 ± √256) / 6 = (-14 ± 16) / 6

t₁ = -5   or  t₂ = 1 / 3

the solution t₁ = -5 is not accepted because it cannot be x² = -5

we accepted  t₂ = 1 / 3

x² =  1 / 3  ⇒  

x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

God is with you!!!

5 0
2 years ago
A land developer is splitting up 1.19 hectares of land to form 9 identical properties. To the nearest tenth of a hectare, what s
OlgaM077 [116]

In this question , it is given that the land is 1.19 hectares. And the land developer splitting it into 9 identical properties . So to find the size of each property, we need to divide 1.19 by 9 and on doing that, we will get 0.13 hectares .

So the size of each property is 0.13 hectares .

4 0
3 years ago
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