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Alja [10]
4 years ago
6

Work out the values of a and b in the following identity

Mathematics
1 answer:
jeka57 [31]4 years ago
7 0

Answer:

a = - 2 and b = - 3

Step-by-step explanation:

Distribute the parenthesis on the left side then compare like terms on both sides.

4(3x - 6) - 7(2x + b)

= 12x - 24 - 14x - 7b

= - 2x - 24 - 7b

Compare to right side ax - 3

For the 2 sides to be equal then

- 2x = ax ⇒ a = - 2

and

- 24 - 7b = - 3 ( add 24 to both sides )

- 7b = 21 ( divide both sides by - 7 )

b = - 3

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The length is 37yd

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Step-by-step explanation: please see attachment for explanation

7 0
3 years ago
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#markasbrainliest

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43/129

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45/135

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46/138

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47/141

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48/144

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49/147

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50/150

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51/153

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52/156

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53/159

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3 0
3 years ago
Read 2 more answers
Write the equation of a line with a slope of 5 and a y-intercept of (0,3 write the equation in slope-intercept form
xenn [34]

Answer:

y = 5x + 3

Step-by-step explanation:

1. The slope-intercept form of an equation of a line is y = mx + b.

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

2. Since we're given the slope is 5 and the y-intercept is 3, we just plug in those values to their corresponding variable:

  • y = 5x + 3
5 0
3 years ago
Please help. explain
riadik2000 [5.3K]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}

so the tank tops are 70% off, meaning, 100% - 70% = 30%, the price you pay for one is just 30% of the regular price, if we put that in decimal that'd be (30/100), or just 0.3.

since the price of a tank top is "t", then for 2 is 2t, and the discounted price will just be 30% of "t" so (0.3)2t.

we now the t-shirts are each one 12 bucks discounted already, so for 3 of those will just be (3)(12).

the jeans are half off, namely 50% off, if we put that in decimals, that'd be (50/100) or just 0.5.

we know the regular price of the jeans is "j", so the discounted price will just be (0.5)j, and for just one well, (0.5)(1)j or just 0.5j.

7 0
4 years ago
What is the simple interest paid to the nearest cent for each principal, interest rate, and time? $300, 6 1/2 %, 1 year *
Burka [1]

Answer:

The correct answer is: Option 1: $19.50

Step-by-step explanation:

Simple interest is given by the formula:

I = Prt

Here

P is the principal amount

r is the interest rate

and t is the time in years

Given

P = 300

r = 6 1/2 = 6.5%

t = 1

Putting the values in the formula, we get

I = 300 * 0.065*1\\I = 19.5

The simple interest paid to the nearest cent is 19.50 dollars.

Hence,

The correct answer is: Option 1: $19.50

7 0
3 years ago
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