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IrinaVladis [17]
3 years ago
5

F(x) = x 2+ 6 and g(x) = 2x - 1

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

<h2>B.) 2x² + 11</h2>

Step-by-step explanation:

f(x)=x^2+6,\ g(x)=2x-1\\\\g\bigg[f(x)\bigg]-\text{in}\ g(x)\ \text{replace}\ x\ \text{as}\ (x^2+6)\\\\g\bigg[f(x)\bigg]=2(x^2+6)-1\qquad\text{use the distributivoe property}\\\\g\bigg[f(x)\bigg]=2x^2+12-1\\\\g\bigg[f(x)\bigg]=2x^2+11

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What is the general rule for multiplying a decimal by a negative integer power of 10 definition?
sineoko [7]
The decimal will move to the left(making the number smaller) if multiplied by a negative integer power of 10.
Example,
0.1 \times  {10}^{ - 1}  = 0.01
6 0
4 years ago
Lewis County, Washington, has a guideline that new roads should not exceed a 15% grade, or a 15 foot rise over a horizontal dist
sesenic [268]
To calculate this problem, divide the smaller number by the larger to get the grade or slope.
I.E.  15/100= .15 = 15%
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4 0
3 years ago
Find the coordinates of the turning point of y = x^2 + 8x + 17
Amiraneli [1.4K]

Answer:

(-4 , 1)

Step-by-step explanation:

We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:

x = -b/2a

In our case b = 8, a = 1, so:

x = - 8/2 = -4

We plug this value into our original equation and find the y of the vertex:

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Vertex = (-4 ; 1)

6 0
3 years ago
(a) Work out the reciprocal of 1.25
Oxana [17]

Answer:

0.8 OR \frac{4}{5}

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

\frac{125/25}{100/25}=\frac{5}{4}

Now we just flip 5/4 to get our reciprocal:

\frac{4}{5} = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 (\frac{5}{4}) is 0.8 (\frac{4}{5}).

Hope this helped!

8 0
3 years ago
The attendance at a cricket match
Ugo [173]

Answer:

the aswer is 4940

Step-by-step explanation:

6500-24%

=4940

7 0
2 years ago
Read 2 more answers
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