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Alexeev081 [22]
3 years ago
11

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

ANSWER

a =  \frac{5}{16}

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

7 - 1.2a - (2a - 1) = 7

Expand:

7 - 1.2a - 2a  + 1= 7

Group similar terms:

- 1.2a - 2a = 7 - 7 - 1

- 3.2a =   - 1

Divide both sides by -3.2,

a =  \frac{ - 1}{ - 3.2}

a =  \frac{5}{16}

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Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
Read 2 more answers
Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?
sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = \frac{6.25}{100}*23.90=\frac{149.375}{100}

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/11584312
  • brainly.com/question/116059

#LearnwithBrainly

3 0
3 years ago
What is the equation of the line, in slope-intercept form, that passes through the point (0,7) and is perpendicular to the line
Arisa [49]

Answer:

=12

Step-by-step explanation:


7=3(0)-5

7=-5

7+5

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Im pretty sure this is the answer


4 0
3 years ago
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Which of the following is a solution of x2 + 2x + 8? (1 point)
Mrrafil [7]

<u>Answer</u>

−1 + i times the square root of 7


<u>Explanation</u>

x² + 2x + 8

I will use the complete square method to find the value of x.

x² + 2x + 8

x² + 2x = -8

x² + 2x + (2/2)² = -8 + (2/2)²

x² + 2x + 1 = -7

(x + 1)² = -7

x + 1 = √(-7)

x = √(-7) - 1

    = i√7 - 1

   = -1 + i√7

<em>−1 + i times the square root of 7 </em>


4 0
4 years ago
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