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Aleksandr [31]
3 years ago
13

21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

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Tell whether the equation has one, zero, or infinitely many solutions.2(x − 3) + 4 = 1x − 5.
tankabanditka [31]

Answer:one solution

Step-by-step explanation:

x=-3, TeR

3 0
3 years ago
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Ulleksa [173]

Answer:

The equation of line is 5(y-4) = 2( x+2)

2 x-5 y+24=0

Step-by-step explanation:

<u>Step 1:-</u>

Given slope is m = \frac{2}{5} and passes through (-2,4)

y-y_{1}= m(x-x_{1} )

y-4 = \frac{2}{5}(x-(-2))

5(y-4) = 2( x+2)

2 x-5 y+24=0

8 0
4 years ago
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
1-5. Evaluate each absolute value expression. Can you help me with this and if you can explain it to me thanks you
mihalych1998 [28]

Well when it comes to absolute value remember that whatever number is inside the two straight lines will always come out as a positive.

a) [54] would still be 54

b)-[-7 3/5] so first you get the absolute value which comes out to 7 3/5 but because there is a negative sign out side of the two parallel lines, the answer would be -7 3/5

c)[3]-[-1] the absolute value of 3 is 3 and the absolute value of -1 is 1. So the expression would be 3-1 which comes out to 2

d)[2.2-5.13] 2.2-5.13 would equal -2.93 but since it is in the absolute value, the answer would come out as 2.93

Hope this helps!

3 0
3 years ago
We wish to construct a 90% confidence interval on the mean of a population known to be normally distributed based on a sample of
sergiy2304 [10]

Answer:

Margin of error = 0.773

Step-by-step explanation:

We are given the following information in the question.

Sample size, n = 20

Sample mean = 8

Sample standard deviation = 2

90% Confidence interval

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729  

Margin of error:

t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

1.729(\frac{2}{\sqrt{20}} ) = 0.773  

7 0
4 years ago
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