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3 years ago

Evaluate the function. f(x)= - x^2 - 10x find f(-5)

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

Answer:

f(- 5) = 25

Step-by-step explanation:

To evaluate f(- 5) , substitute x = - 5 into f(x) , that is

f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25

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Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over

ANEK [815]

Answer:

7/8 is greater than 2/4

Step-by-step explanation:

In this question basically, what we are trying to do is to compare fractions and state which is greater or less.

The first fractions in the question is;

7/8 _ 2/4

Now, one of the best ways to go around comparing fractions is looking at the denominators.

In this question, the denominators in the fractions are 8 and 4.

The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.

Thus, what we have would be;

7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32

Now for the fraction;

2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32

We can see they both have a common denominator and we can directly compare their numerators.

Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4

So what we have in the blank is ; is greater than

Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4

5 0

3 years ago

Read 2 more answers

You and your friend go bowling your score is 6 more that twice your friends score if your score is 212 what is your friends scor

kotegsom [21]

Answer:

103

Step-by-step explanation:

your friend's score=x

twice your friend's score=2*x

then your score=6+2*x

Given that your score is=212

In other words, 6+2*x=212

2*x=212-6

2*x=206

x=206/3

x=103

8 0

2 years ago

What is 23/100 simplified to

IgorC [24]

The simplified answer is 0.23

4 0

3 years ago

Read 2 more answers

Match the expressions with their equivalent simplified expressions.

Tasya [4]

Answer:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}}\rightarrow\frac{2x}{3y}\\\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} \rightarrow\frac{3y}{2x}\\\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}}\rightarrow\frac{4x^2}{5y}\\\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}}\rightarrow\frac{3x^2}{2y}\\\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} \rightarrow\frac{2xy}{3}\\\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}}\rightarrow\frac{x}{2y}$

Step-by-step explanation:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}} =\sqrt[4]{\frac{(2^4)(x^{6-2})(y^{4-8})}{(3^4)}} =\sqrt[4]{\frac{2^4x^4y^{-4}}{3^4}} =\frac{2xy^{-1}}{3}=\frac{2x}{3y}$

$\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} =\sqrt[4]{\frac{(3^4)(x^{2-6})(y^{10-6})}{(2^4)}} =\sqrt[4]{\frac{3^4x^{-4}y^{4}}{2^4}} =\frac{3x^{-1}y^1}{3}=\frac{3y}{2x}$

$\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}} =\sqrt[3]{\frac{(4^3)(x^{8-2})(y^{7-10})}{(5^3)}} =\sqrt[3]{\frac{4^3x^6y^{-3}}{5^3}} =\frac{4x^2y^{-1}}{5}=\frac{4x^2}{5y}$

$\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}} =\sqrt[5]{\frac{(3^5)(x^{17-7})(y^{16-21})}{(2^5)}} =\sqrt[5]{\frac{3^5x^{10}y^{-5}}{2^5}} =\frac{3x^2y^{-1}}{2}=\frac{3x^2}{2y}$

$\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} =\sqrt[5]{\frac{(2^5)(x^{12-7})(y^{15-10})}{(3^5)}} =\sqrt[5]{\frac{2^5x^{5}y^{5}}{3^5}} =\frac{2x^1y^{1}}{3}=\frac{2xy}{3}$

$\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}} =\sqrt[4]{\frac{(2^4)(x^{10-2})(y^{9-17})}{(4^4)}} =\sqrt[4]{\frac{2^4x^{8}y^{-8}}{4^4}} =\frac{2x^{1}y^{-1}}{4}=\frac{x}{2y}$

Thus,

3 0

3 years ago

Find an equation of the line l that passes through the point (x, y) = (−9, 2) and satisfies the condition. the x-intercept of l

spayn [35]

-9(2)+4=-16 you do -9 times 2 which is -18 then you subtract that to 4 which you get -16. hope this helps!

3 0

2 years ago