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Leno4ka [110]
3 years ago
10

(a)

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0
Part a) is b part b) is b to
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Write four decimals with the 4 digit in a different place in each --- ones tenths hundreds and thousandths.Then write a statemen
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4 .04 .004 .0004
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3 years ago
If (5x− 4)(3x+ 7) = 15x²-ax-b,then find the value of a and b
Mkey [24]

Answer:

a=-23\\\\b=28

Step-by-step explanation:

Let's start by using distributive multiplication:

(a\pm b)(c\pm d)=ac\pm ad \pm bc \pm bd

So:

(5x-4)(3x+7)=15x^2+35x-12x-28\\\\

Grouping like terms:

15x^2 +(35x-12x)-28\\\\15x^2+23x-28

Now, 15x^2+23x-28 is equal to:

15x^2-ax-b

In this sense:

15x^2+23x-28=15x^2-ax-b

In order to satisfied the equality:

23x=-ax\hspace{10}(1)\\\\and\\\\-28=-b\hspace{10}(2)

Hence, from (1), let's solve for a:

23x=-ax\\\\-a=\frac{23x}{x} \\\\-a=23\\\\a=-23

And from (2), let's solve for b:

-28=-b\\\\b=28

Let's verify the result evaluating the values of a and b into the original equation:

(5x-4)(3x+7)=15x^2+23x-28=15x^2 -ax -b\\\\(5x-4)(3x+7)=15x^2+23x-28=15x^2 -(-23)x -(28)\\\\(5x-4)(3x+7)=15x^2+23x-28=15x^2 +23x -28

As you can see, the values satisfy the equation, therefore, we can conclude they are correct.

3 0
3 years ago
What a tray of plants for $8.15 there were 16 plants only in the tray. If Landon only bought 1 plant about how much would it hav
Mashutka [201]
1 plant would cost you $1.96. cause in one tray has 16 plant you divide that into $8.15 and you'll get $1.96 for one plant.
 
8 0
3 years ago
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For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0. graph of f of x equals
Leni [432]

Next time you should write the correct form of equation because it affects greatly the answer. I believe the correct form would be:

f (x) = 2 * x^2 + 1

where the second 2 is a power of x

The average rate of change is also defined as the slope of the equation. Therefore:

average rate of change = slope

Where slope is:

m = (y2 – y1) / (x2 – x1) = [f (0) – f (-1)] / (x2 – x1)

 

Calculating for f (0): x2 = 0

f (0) = 2 * 0^2 + 1 = 1

Calculating for f (-1): x1 = -1

f (-1) = 2 * (-1)^2 + 1 = 3

 

Substituting the known values to the slope equation:

average rate of change = (1 – 3) / (0 – 1)

average rate of change = -2 / -1

average rate of change = 2

 

<span>Answer: 2</span>

6 0
3 years ago
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Can any one help me on math? I'm in 8th grade, and I need help on slope intercept graphing. If you will please message me and I
spayn [35]
Hi! im in eighth grade too, and im learing the same stuff, i could probably help you!
7 0
3 years ago
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