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2 years ago

15

Brandon is measuring a crayon with a ruler. First. he gets 3 inches then he measures again and gets 8cm. Why are the lengths dif

ferent?

1 answer:

zlopas [31]2 years ago

6 0

Answer:

he flipped his ruler and is now using a different unit of measurement

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Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4

coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term $2\,x^4\,y^2$ contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term $9\,x^2\,y^5$ contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term $-3\,x^4\,y^4$ contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0

3 years ago

Read 2 more answers

The calculation of property tax is based on the

Tresset [83]

The assessment rate is a uniform percentage and varies by tax jurisdiction, and could be any percentage below 100%. After getting the assessed value, it is multiplied by the mill levy to determine your taxes due. For example, suppose the assessor determines your property value is $500,000 and the assessment rate is 8%.

5 0

2 years ago

You pick a marble and spin the spinner. How many outcomes are possible?

grigory [225]

Answer:

4 i think

Step-by-step explanation:

can you go one question to the left i need help

6 0

2 years ago

Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around

Zigmanuir [339]

Answer:

Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.

Step-by-step explanation:

18 ÷ 10 = 1.8 (Lisa's rate)

14 ÷ 8 = 1.75 (Marie's rate)

1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)

1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)

8 0

2 years ago