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solniwko [45]
3 years ago
10

Find the zeros of the function (x+3)^2(x-5)^6 and state the multiplicity

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
Find the zeros<span> of Function (</span>x)= (x+3)^2(x-5)^6 and state the multiplicity. ... (x--5)^6<span> = 0=> </span>x--5<span>= 0 => </span>x<span> = </span>5<span>. Therefore real </span>zero's of the function<span> are --</span>3<span>,5.</span><span />
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What is the area of the figure below?
Grace [21]

Answer:

option B

Step-by-step explanation:

The figure is combination of parallelogram and semi- circle. So,

area = area of parallelogram + area of semi-circle

Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23  = 61.2cm^2

7 0
2 years ago
Pls help i will give u brianliest
Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

y =mx+b

Here m is the gradient of the functions which is defined as:

m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3

Putting the value of slope in the equation

y = -3x+b

Putting (-1,-1) in the equation

-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4

The equation will be:

y = -3x-4

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

7 0
3 years ago
If there are 5 green, 6 yellow, 8 blue, and 7 brown M&amp;M's, what is the probability that you choose a blue?
Alex777 [14]

Answer:

the probability is 69/420

4 0
3 years ago
Read 2 more answers
Lines l and m are parallel.<br> Use the diagram to determine the measure of ∠3.
Pavlova-9 [17]

Answer:

∠3 is 70°

Step-by-step explanation:

∠1 is 50° since it is across from another 50° angle

and then you use the equation x+25+2x+50=180 to find x

x then equals 35°

you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°

5 0
3 years ago
Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
Leona [35]

The inequality is used to solve how many hours of television Julia can still watch this week is x + 1.5 \leq 5

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤  5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

x + 1.5 \leq5

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5

Thus Julia still can watch Television for 3.5 hours

5 0
3 years ago
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