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3 years ago

12

M

alt="m {2} - m - 2 = 0" align="absmiddle" class="latex-formula">

1 answer:

Serjik [45]3 years ago

4 0

Answer:

m=2-2

m=0

Step-by-step explanation:

U need to do substitution

So u carry both 2 from that side to cross the equal to sign. One becomes positive because it is carrying a negative sign at the other side

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Which solutions is the correct one?

Debora [2.8K]

Answer:

Apoint on negative x-axis

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3 years ago

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

3 0

3 years ago

How would I solve for this? What’s the answer?

9966 [12]

To find G of F first solve f(x) by replacing x with -7

F(x) = x^2 +6
= -7^2 +6
= 49 +6 = 55

So f(x) = 55

Now replace the X in the g(x) equation with 55

g(x) = x+8 / x

= 55+8 / 55

= 63/55

The last choice is the correct answer.

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3 years ago

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Ariel, who is 15, is 3 years more than<br> twice the age of Hilary. How old is<br> Hilary?

antoniya [11.8K]

Answer:

6

Step-by-step explanation:

15 - 3 = 12, divide that by 2 and your answer is 6.

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2 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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3 years ago