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Kay [80]
3 years ago
11

Find the quadratic equation for y=4x^2-5

Mathematics
2 answers:
marta [7]3 years ago
8 0

Answer:

y=4/x^3

Step-by-step explanation:

Yuliya22 [10]3 years ago
7 0

1) if you want to find the roots:

For this case we have the following quadratic equation:

y = 4x ^ 2-5

To find the solutions we do y = 0:

4x ^ 2-5 = 0

We add 5 to both sides of the equation:

4x ^ 2 = 5

DIviding between 4 to both sides of the equation:

x ^ 2 = \frac {5} {4}

We apply square root to both sides:

x = \pm \sqrt {\frac {5} {4}}\\x = \pm \frac {\sqrt {5}} {2}

Thus, the roots are:

x_ {1} = \frac {\sqrt {5}} {2}\\x_ {2} = - \frac {\sqrt {5}} {2}

Answer:

x_ {1} = \frac {\sqrt {5}} {2}\\x_ {2} = - \frac {\sqrt {5}} {2}

2): if you want to write the equation in vertex form:

The general quadratic equation is:

y = a(x-h)^2+k

where,

a: is the leading coefficient

(h,k): is the verex of the quadratic equation

Comparing with the original equation we have

y = 4x ^ 2-5

So, the vertex is:

(h,k)=(0,-5)

Answer

The quadratic equation in vertex form is:

y = 4x ^ 2-5

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Cost price:-

\\ \sf\longmapsto 35\times 20

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Now

Return=823-700=123

Rate of return

\\ \sf\longmapsto \dfrac{123}{700}\times 100

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7 0
2 years ago
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aliya0001 [1]
When simplified all of them equal 3/1. They are asking you to just chose 4 of them. Hope that helps!
4 0
3 years ago
Solve the system by substitution.
tino4ka555 [31]
As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
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3 0
3 years ago
Giving brainlist to whoever answers
Setler79 [48]

Answer:

m<A=94

Step-by-step explanation:

(2x+10)+(2x+2)=180

4x+12=180

-12 -12

4x=168

/4 /4

x=42

m<A= 2x+10

m<A=2(42)+10

m<A=84+10

m<A=94

Check:

Add m<A and m<B which should equal 180.

m<B=2x+2

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m<B=84+2

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Answer:

peanuts=2/5

chocolate chips=1/8

coconut=3/10

rest=sprinkles

2/5+1/8+3/10

lcm=40

<u>16 + 5 + 12</u>

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=33/60

60/60 -33/60

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=9 /20 apples are covered with sprinkles

9/20 x 120

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Step-by-step explanation:

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