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LenKa [72]
4 years ago
6

Solve for q. √3q + 2 = √5

Mathematics
1 answer:
34kurt4 years ago
8 0

Answer:

q = 0.0186

Step-by-step explanation:

To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.

So

\sqrt{3q} + 2 = \sqrt{5}

\sqrt{3q} = \sqrt{5} - 2

We find the square of both sides of the equation. So

(\sqrt{3q})^{2} = (\sqrt{5} - 2)^{2}

3q = 0.0557

q = \frac{0.0557}{3}

q = 0.0186

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Find the valid value(s) for x:<br> x2 +5x+6<br> = 1<br> x+3
-BARSIC- [3]

Answer:

x=-1

Step-by-step explanation:

x+3≠0

x≠-3

x²+5x+6=x+3

x²+5x+6-x-3=0

x²+4x+3=0

x²+x+3x+3=0

x(x+1)+3(x+1)=0

(x+1)(x+3)=0

x+3≠ 0

so x+1=0

x=-1

6 0
3 years ago
W−6 =−4w−11 <br> what is w?
ziro4ka [17]

Answer:

w=-1

Step-by-step explanation:

w-6=-4w-11

5w=-5

w=-1

7 0
3 years ago
Read 2 more answers
What is the 11th term of the sequence<br> 1, 2, 4, 8, 16, ...?
iris [78.8K]

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

5 0
3 years ago
An art dealer is trying to determine whether the age of a painting plays a significant role in its price at auction. She collect
klasskru [66]

Answer:

-0.20

Step-by-step explanation:

Given the data:

Age at auction (x) ____price sold (y)

391

51

32

84

47

104

88

43

470

51

Y:

76.9

95.4

86.3

49.3

80

57

47.8

80

70

86.9

General formula for a simple linear regression :

y = ab + c

Where ;

y = predicted variable ; a = slope / gradient

b = predictor / independent variable ; c = intercept

From the result obtained from the calculator :

y = -0.01246X + 74.65552

Correlation Coefficient is used to measure the strength of relationship between linear variables.

The regression Coefficient obtained is - 0.20

This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.

5 0
3 years ago
Are the expressions 12a + (6+3a) and 3(5a + 2) equivalent show your work and explain
bezimeni [28]
12a + 6 + 3a = 15a + 2
15a = 15a - 4
0 = - 4
8 0
3 years ago
Read 2 more answers
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