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1 month ago

Estimate the value of 9.9 squared x 1.79

Mathematics

2 answers:

AnnZ [12.3K]1 month ago

7 0

Answer:

The expression evaluates to

$9.9^2\times 1.79=175.4379$

Step-by-step explanation:

Given: Expression $9.9^2\times 1.79$

To determine: The estimated value of the expression?

Solution:

Step 1 - Rewrite the expression

$9.9^2\times 1.79$

Step 2 - Expand the squared term

$=98.01\times 1.79$

Step 3 - Multiply the two terms

$=175.4379$

Thus, the expression evaluates to

$9.9^2\times 1.79=175.4379$

PIT_PIT [12.4K]1 month ago

7 0

9.9 squared times 1.79
Calculating 9.9^2 gives 98.01
Then multiplying 98.01 by 1.79 results in 175.4379

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

Svet_ta [12734]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

We are given the quadratic equation $x^2-8x-9$

, which we then compare with the standard form of a quadratic. The general quadratic is identified as $ax^2+bx+c=0$

. From our given equation, it follows that a=1,b=-8,c=-9

. To calculate the discriminant, we insert these values into the formula $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

. Now, to find the value of x

The formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of

$x^2+bx=c$

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1 month ago

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To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices

babunello [11817]

Answer:

Step-by-step explanation:

The prices he received quotes for are as follows: $663, $273, $410, $622, $174, $374

To begin, we will find the average.

Average = total of data points/ number of data points.

Total of data points =

663 + 273 + 410 + 622 + 174 + 374

= 2516

Total count = 6

Average = 2516/6 = 419.33

Standard deviation = √summation(x - m)^2/n

summation(x - m)^2/n = (663 - 419.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2

= 179417.9334/6 = 29902.9889

Standard deviation = √29902.9889

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14 days ago

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I

AnnZ [12381]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)