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3 years ago

Simplify. x/4x+x^2

1 answer:

3 0

$\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}$

if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.

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F(3)= 5x^2 - 4x + 9<br> evaluate this quadratic function

Neporo4naja [7]

Answer:

$f(3) = 38$

Step-by-step explanation:

Given the quadratic function

$f\left(x\right)=\:5x^2\:-\:4x\:+\:9$

Evaluating the quadratic function

$f\left(x\right)=\:5x^2\:-\:4x\:+\:9$

substitute x = 3

$f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9$

$f(3) = 45-16+9$

$f(3) = 38$

Therefore,

$f(3) = 38$

6 0

2 years ago

5 of 5

dexar [7]

Answer:

Number of people that can be served 7 ladles = 100 people

Step-by-step explanation:

We are told that;

Initial number of ladles proposed per person = 5

Number of persons to be fed based on 5 ladles = 140 persons

Thus, amount of ladles based on that data is;

140 people x 5 ladle/1 person = 700 ladles full of soup

Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;

700 ladles ÷ 7 ladles/person = 100 persons

6 0

3 years ago

What’s the quadrant

Vadim26 [7]

Hey there!!

Always remember this :

90-degree counterclockwise: (x, y) → (-y, x)

180-degree counterclockwise: (x, y) → (-x, -y)

270-degree counterclockwise: (x, y) → (y, -x)

1st quadrant : ( x , y )

second quadrant : ( -x , y )

Third quadrant : ( - x , - y )

Fourth quadrant : ( x , -y )

Now, the triangle abc lies in the 1st quadrant. So, all the vertexes will have positive values.

Let's take the vertex a as ( 1 , 2 )

Vertex b as ( 4 , 7 )

Vertex c as ( 5 , 9 )

If we rotate these values in 90 degress angle, these would become ( -y , x )

Vertex a : ( 1 , 2 ) ; After rotating : ( -2 , 1 )

Vertex b : ( 4 , 7 ) ; After rotating : ( -7 , 4 )

Vertex c : ( 5 , 9 ) ; After rotating : ( -9 , 5 )

Hope my answer helps!

3 0

3 years ago

If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =

BartSMP [9]

If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

$p(-2)=0 \\
(-2)^3 - 6 \times (-2)^2 + k \times (-2) + 10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
k=\frac{22}{-2} \\
\boxed{k=-11}$

8 0

3 years ago

Read 2 more answers

WILL MARK BRAINLYEST

Nadusha1986 [10]

Answer:

17576

Step-by-step explanation:

As L can be anything from A to Z , there are 26 combinations for that and as repetition is allowed, for second and third letters, we again have 26 combinations available and thus 26×26×26=17576 combinations for letters.

5 0

3 years ago