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2 years ago

10

Question 6 Express this decimal as a fraction. 1.21 = ✓ DONE

1 answer:

algol [13]2 years ago

8 0

Answer: 1 and 21/100

Step-by-step explanation: Using the place value chart, we can see that 1.21 means 1 unit, 2 tenths, and 1 hundredth.

Think of 2 tenths and 1 hundredth as 21 hundredths.

So we have 1 and 21/100 which can

be written as the mixed number $1\frac{21}{100}$ .

I have attached the place value chart below.

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34 cajas

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2 years ago

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A bet offering 4:1 odds pays __________. A. $4 for each $1 bet B. $1 for each $4 bet C. $3 for each $1 bet D. $3 for each $1 bet

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A) $4 for each $1 bet

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1 year ago

Figures are similar. Find x.

katrin [286]

Answer:

24.3

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2 years ago

Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

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2 years ago

kifflom [539]

$\\ \sf\longmapsto \dfrac{x^2-1}{x^2+5x+4}\leqslant 0$

Solving denominator

$\\ \sf\longmapsto x^2+5x+4>0$

$\\ \sf\longmapsto x^2+4x+x+4>0$

$\\ \sf\longmapsto x(x+4)+1(x+4)>0$

$\\ \sf\longmapsto (x+4)(x+1)>0$

$\\ \sf\longmapsto x>-4\:or x>-1$

Hence x $\neq$ -1
x can't be 0 as it makes function undefined

$\\ \sf\longmapsto -4$

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2 years ago