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3 years ago

Evaluate x(-9)+2y when x=4, y=-1

Mathematics

2 answers:

diamong [38]3 years ago

8 0

(4)(-9) + 2 (-1) = - 38

....................................

pshichka [43]3 years ago

6 0

Answer:

= -39

Step-by-step explanation:

x(-9)+2y = -9x + 2y

if:

x = 4

y = -1

then:

-9*4 + 2*-1

-36 - 3

-39

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Employees that work at a fish store must measure the level of nitrites in the water each day. Nitrite levels should remain lower

zhuklara [117]

Answer: .0039

Step-by-step explanation:

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3 years ago

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles

Zinaida [17]

The probability of drawing both without replacing either is :

14/41 * 12/40 = 7/41 * 3/5 = 21/205

The probability of drawing both WITH replacement is:

14/41 * 12/41 = 168/ 1681

7 0

3 years ago

Find the area please! *you can use decimals if needed*

Lorico [155]

Answer:

116 km squared

Step-by-step explanation:

When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.

Step 1. Find the missing variables, x, y, and z

y = 2

x = 6 - 2 = 4

z = 8 + (4) + 2 = 14

Step 2. Find the area of each shape

Triangle:

Area = bh/2 = (8 x 14)/2 = 56 km sq

Big rectangle:

Area = bh = 8 x 6 = 48 km sq

Small rectangle:

Area = bh = 2 x 6 = 12 km sq

Step 3. Add all the areas together

56 + 48 + 12 = 116 km sq

I hope this helps!

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5 0

2 years ago

Read 2 more answers

Find sin20 if sin 0 = 3; 90° < 0 < 180°

Alex777 [14]

Answer:

$\sin 2 \theta = -\dfrac{4\sqrt 5}{9}$

Step-by-step explanation:

$\text{Given that,}\\\\~~~~~~\sin \theta = \dfrac 23\\\\\implies \sin^2 \theta = \left( \dfrac 23 \right)^2\\\\\implies 1- \cos^2 \theta = \dfrac 49 \\\\\implies \cos^2 \theta = 1 - \dfrac 49 \\\\\implies \cos^2 \theta = \dfrac 59\\\\\implies \cos \theta = \pm\sqrt{\dfrac 59} \\\\\implies \cos \theta = \pm \dfrac{\sqrt 5 }3\\\\\text{Since}~ 90^\circ < \theta < 180^{\circ},~\text{the angle lies in 2nd quadrant}\left(\cos \theta ~\text{is negative}\right).\\\\$

$\text{So,}~ \cos \theta = - \dfrac{\sqrt 5 }{3}\\\\\text{Now,}\\\\\sin 2\theta = 2\sin \theta \cos \theta \\\\\\~~~~~~~~=2 \cdot \dfrac 23 \cdot \left( -\dfrac{\sqrt 5}{3} \right)\\\\\\~~~~~~~~=-\dfrac{4\sqrt 5}{9}$

$\textbf{Quadrant rule:}\\\\$

6 0

2 years ago

What are the equations of asymptotes of the graph of the function f(x)=3x^2-2x-1 / x^2+3x-10

True [87]

An asymptote is of a graph of a function is a line that continually approaches a given curve but does not meet it at any finite distance.
There are three major types of asymptote: Vertical, Horizontal and Oblique asymptotes.
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. They are the values of x for which a rational function is not defined.
Thus given the rational function:
The vertical asymptotes are the vertical lines corresponding to the values of x for which

Solving the above quadratic equation we have:

Therefore, the vertical asymptotes of the function
are x = 2 and x = -5

The horizontal asymptote of a rational function describes the behaviour of the function as x gets very big.The horizontal asymptote is usually obtained by finding the limit of the rational function as x tends to infinity.
For rational functions with the highest power of the variable of the numerator less than the highest power of the variable of the denominator, the horizontal asymptote is usually given by the equation y = 0.
For rational functions with the highest power of the variable of the numerator equal to the highest power of the variable of the denominator, the horizontal asymptote is usually given by the ratio of the coefficients of the highest power of the variable of the numerator to the coefficient of the highest power of the denominator.
Therefore, the horizontal asymptotes of the function
is

4 0

3 years ago

Read 2 more answers