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2 years ago

Help please

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

7 0

Answer:

See explanations below

Step-by-step explanation:

Given the polynomial function

P(x) = X^2+3x-10

To check whether x-2 and x+5 are factor, we will find x and then show that P(x) = 0

For x-2

x - 2 = 0

x =2

P(2) = 2²+3(2)-10

P(2) = 4+6 -10

P(2) = 10-10

P(2) = 0

Since the remainder is zero, hence x-2 is a factor of the polynomial

Similarly for x+5;

x+5 = 0

x = -5

P(-5) = (-5)²+3(-5)-10

P(-5) = 25-15-10

P(-5) = 10-10

P(-5) = 0

This also shows that x+5 is a factor

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Solve for x -5(2x+1)-2x-2=17

inna [77]

-5(2x+1)-2x-2=17
first, distribute
-10x-5-2x-2=17
combine like terms
-12x-7=17
get the x alone, eliminate the constant
-12x=24
divide out the -12 to get the x alone.
x=-2

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2 years ago

What is the area of the composite figure below?

musickatia [10]

Answer:

33 sq cm.

Step-by-step explanation:

Let's calculate each shape serperately,

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For the square, the area is 25 since

5 × 5 = 25

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For the rectangle, the area is 8:

4 × 2 = 8

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Add these together to get 33 sq cm

Have a good day :)

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2 years ago

In testing a certain kind of missile, target accuracy is measured by the average distance X at which the missile explodes. The d

3241004551 [841]

Answer:

The answer is c) 761.0

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.

The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.

Then you first calculate E [x] and E [ $x^{2}$ ], and then be able to calculate the variance.

$E[x]=0*\frac{1}{40} +10*\frac{1}{20} +50*\frac{1}{10} +100*\frac{33}{40}$

$E[x]=0+\frac{1}{2} +5+\frac{165}{2}$

E[X]=88

So E[X]²=88²=7744

On the other hand

$E[x^{2} ]=0^{2} *\frac{1}{40} +10^{2} *\frac{1}{20} +50^{2} *\frac{1}{10} +100^{2} *\frac{33}{40}$

E[x²]=0+5+250+8250

E[x²]=8505

Then the variance will be:

Var[x]=8505-7744

Var[x]=761

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2 years ago

X^2-3x-28=0 what are the roots

Oksi-84 [34.3K]

Answer:

$\large\boxed{x=-4\ \vee\ x=7}$

Step-by-step explanation:

$x^2-3x-28=0\\\\x^2+4x-7x-28=0\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\x=-4\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7$

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2 years ago

Find the value of x. A B 8 X 4 3 D x = [?] C

sergiy2304 [10]

Answer:

Step-by-step explanation:

4 x 3 = 12

8 x 3 = 24

12 / 4 = 3

24 / 4 = 6

x must be 6

5 0

1 year ago