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3 years ago

What are the possible values of x given that log2(x2+5x+14)3?

Mathematics

2 answers:

Colt1911 [192]3 years ago

8 0

Answer:

o.90309x^2 + 4.51545x + 12.64326

TiliK225 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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Hatah and his 3 friends are each running an equal part of a la mile race.

Lana71 [14]

Answer:3.5 miles

Step-by-step explanation:

8 0

3 years ago

M+2/3=1/4m-1 what the formula used to find the value of m?

zimovet [89]

Answer:

The value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

Solution:

Given, expression is $m+\frac{2}{3}=\frac{1}{4 m}-1$

Now, we have to solve the above given expression.

$\text { Now, } \mathrm{m}+\frac{2}{3}=\frac{1}{4 m}-1$

By multiplying the equation with m, we get

$\begin{array}{l}{m^{2}+\frac{2}{3} m+m=\frac{1}{4}} \\\\ {m^{2}+m\left(\frac{2}{3}+1\right)=\frac{1}{4}} \\\\ {m^{2}+\frac{5}{3} m=\frac{1}{4}}\end{array}$

$\begin{array}{l}{12 m^{2}+20 m=3} \\ {12 m^{2}+20 m-3=0}\end{array}$

Now, let us use quadratic formula

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in our problem, a = 12, b = 20, c = -3

$\begin{array}{l}{m=\frac{-20 \pm \sqrt{20^{2}-4 \times 12 \times(-3)}}{2 \times 12}} \\\\ {=\frac{-20 \pm \sqrt{400+144}}{24}} \\\\ {=\frac{-20 \pm \sqrt{544}}{24}} \\\\ {=\frac{-20 \pm 4 \sqrt{34}}{24}=\frac{-5 \pm \sqrt{34}}{6}} \\\\ {=\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}}\end{array}$

Hence the value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

7 0

3 years ago

Is 3/12 rational or irrational?

klio [65]

3/12 is rational because it ends in 0.25

8 0

3 years ago

3456 ÷ 42 (show your work)

saul85 [17]

Answer:

82 with a remainder of 12.

6 0

3 years ago

Can someone help with this qs pls? 4 − (−4)^−3

11Alexandr11 [23.1K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Solve ⇨ 4 - (- 4)^-3

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: 4 - ( - 4 ) ^ { - 3 }$

Calculate -4 to the power of -3 and get -1/64.

$\dashrightarrow \sf \: ( - 4) ^{3 } \\ = \sf-\frac{1}{4 ^{3} } \\ = \sf - \frac{ 1}{4} \times - \frac{ 1}{4} \times - \frac{ 1}{ 4} \\ = \sf \: - \frac{ 1}{64}$

Come back to the equation & substitute -4³ as -1/64.

$\sf \: 4-\left(-\frac{1}{64}\right) \\$

The opposite of -1/64 is +1/64.

$\sf \: 4+\frac{1}{64} \\$

Add 4 and 1/64 to get 257/64 (take 64 as the LCM).

$\boxed{ \boxed{ \bf\frac{257}{64} = 4.01}}$

4 0

2 years ago

What are the possible values of x given that log2(x2+5x+14)3?​

What are the possible values of x given that log2(x2+5x+14)3?