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3 years ago

Help! I need help with these problems. please help.

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

Answer:

1. medium

2. 20%

3. 12.48

4. Noah

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Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

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3 years ago

What are the solutions to the equation f(x)= g(x)?

PIT_PIT [208]

Answer:

2 solutions

Step-by-step explanation:

We are given the equations of f(x) and g(x).

To find f(x) = g(x), we just let those two equations equal each other

$x^{2} -4x+5=x+1$

Group all like terms,

$x^{2} -3x+4=0$

Factorise,

$(x-4)(x+1)=0$

$x=4, x=-1$

Therefore, there are two solutions

Hope this helped!!

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3 years ago

A computer repairman makes $25 per hour. Which equation models the situation?

Leona [35]

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bit. $^{}$ ly/3a8Nt8n

4 0

3 years ago

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Why does a logarithmic equation sometimes have an extraneous solution?

jonny [76]

The main reason behind this is using properties of logarithm .

when solving

log_2(x+2)+log_2(x-3)=3

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

(-2)²=(2)²

But

-2≠2

Same happens in case of logarithm

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2 years ago

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How do I solve: 15 - w/4 = 28 (this is 2 step equations)

kenny6666 [7]

First we need to isolate the variable so we add 15 to both sides which is
w/4=43 then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43

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3 years ago

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