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3 years ago

kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?

Mathematics

1 answer:

Sav [38]3 years ago

4 0

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

5 0

3 years ago

Can you plz solve this

Lesechka [4]

Answer:

a) acute angle

b) obtuse angle

c) right angle

d) reflex angle

e) straight line angle

f) acute angle

Step-by-step explanation:

Acute angle

angle that is smaller than 90°
0° < θ < 90°

Right angle

angle that is 90°
shaped of a "L"

Obtuse angle

angle that is greater than 90° but smaller than 180°
90° < θ < 180°

Straight line angle

angle that is 180°
drawn in a straight line

Reflex angle

angle than is greater than 180°
θ > 180°

8 0

3 years ago

What does p equal when p=210e^(0.0069*20)?

Korolek [52]

p=210e^(0.0069*20)
'e' is a mathematical constant equal to 2.718281828459

0.0069*20 = .138

e^.138 =

2.718281828459^.138 =

 1.1479755503 
210 * 1.1479755503 =

 241.074865563

5 0

3 years ago

Let f(x) = x^2 – 81. Find f–1(x). Can someone double-check what I have?

Trava [24]

I hope this helps you

y=x^2-81

x^2=y+81

x=square root of y+81

f^-1 (x)= square root of x+81

5 0

3 years ago

Read 2 more answers

Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

$(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =$

$= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}$

$= 2^{-12} \times 2^{12} \times \dfrac{225}{64}$

$= \dfrac{225}{64}$

8 0

3 years ago