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3 years ago

Evaluate the function below for x = 3 F(x) = 2x2 - 4x +7

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

The answer is 7. So you would do
2(3)2=12
4(3)=12
12-12=0
0+7
7

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Simplify ( √ 5 ) ( 3 √ 5 )

Amiraneli [1.4K]

Answer:

$5^\frac{5}{6}$

Step-by-step explanation:

$\sqrt{5}$ can be represented as $5^{\frac{1}{2}}$ and $\sqrt[3]5}$ can be represented as $5^{\frac{1}{3}}$ . Therefore, the expression can be rewritten as:

$5^{\frac{1}{2}}*5^{\frac{1}{3}}$

The rule for multiplying two exponents with the same base is you add the exponents. For example: $x^m*x^k=x^{m+k}$

We can use the same property to get:

$5^{\frac{1}{2} +\frac{1}{3}}$

which is just $5^\frac{5}{6}$ after you add the fractions

8 0

3 years ago

Fraction of the shape shaded on these two shapes??

xxTIMURxx [149]

The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).

The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.

Answers: left picture: 3/16.
right picture: 9/16.

3 0

3 years ago

What rule is this, please answer correctly, please

hichkok12 [17]

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

7 0

2 years ago

Read 2 more answers

Sold the equation. Round to the nearest hundredth. <br><br>17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"

svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is $1.8^{-x+7} = 5$

Now we need to solve equation $1.8^{-x+7} = 5$ and round to the nearest hundredth.

$1.8^{-x+7} = 5$

$\log(1.8^{-x+7}) = \log(5)$

$(-x+7)\log(1.8) = \log(5)$

$(-x+7) = \frac{\log(5)}{\log(1.8)}$

$(-x+7) = \frac{0.698970004336}{0.255272505103}$

$-x+7 = 2.73813274192$

$-x = 2.73813274192-7$

$-x =−4.26186725808$

$x =4.26186725808$

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0

3 years ago

cora says she doesn't need to know the y-intercept of a line to write its equation, just its slope and some other point on the l

Nadusha1986 [10]

Answer:

The equation of line with given slope that include given points is 3 y + x - 20 = 0

Step-by-step explanation:

According to Cora , if we know the slope and points on a line then we can write the equation of a line .

Since , The equation of line in slope-intercept form is

y = m x + c

<u>Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .</u>

So , From the statement said above it is clear that she is correct .

Now , Again

Given as :

Slope of a line is m = - $\frac{1}{3}$

That include points ( 2 , 6 )

Now from the equation of line as y = m x + c

∴ 6 = - $\frac{1}{3}$ ( 2 ) + c

Or, 6 = - $\frac{2}{3}$ + c

So , c = 6 + $\frac{2}{3}$

or, c = $\frac{18 + 2}{3}$

∴ c = $\frac{20}{3}$

So, The equation of line can be written as

y = - $\frac{1}{3}$ x + $\frac{20}{3}$

Or, 3 y = - x + 20

I.e 3 y + x - 20 = 0

Hence The equation of line with given slope that include given points is 3 y + x - 20 = 0 Answer

8 0

3 years ago