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MrMuchimi
2 years ago
8

Which graph shows the solution to the inequality? x - 4 ≤ -1

Mathematics
2 answers:
Stels [109]2 years ago
6 0

Answer:

x ≤ 3

Step-by-step explanation:

This is the answer because I say it is

GenaCL600 [577]2 years ago
4 0

Answer:

x -4 \leq  -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3

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Write a polynomial of degree 5 with zero x=0,i square root 7, -2i
professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
3 years ago
Help me out with this ​
zmey [24]

Answer:

17x6=102/2=51 rounded is 50-x=30

Step-by-step explanation:

8 0
2 years ago
What is the diameter in inches of a circle that has an area of 16pi square inches
aliina [53]
Area of a circle = pi * r^2
16pi=pi * r^2
Divide both sides by pi
16=r^2
Square root both sides
4=r
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5 0
4 years ago
Read 2 more answers
On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least
Alexeev081 [22]
The correct multiple choice questions (x) are 4 points each.
The correct word problems (y) are 8 points each.
Lorenzo needs AT LEAST 50 points.
Put all that information into an inequality and you get:
4x + 8y ≥ 50
6 0
3 years ago
Read 2 more answers
Ignore my working already. <br> Could I have an explanation aswell, thanks.
Setler79 [48]
For a division problem, we need to follow these rules. 

3 2/3 divided by 3/4

Keep the first fraction

3  2/3

Change the sign

X

Flip the second fraction

4/3

Now multiply

3 2/3 = 11/3

11/3 *  4/3 = 44/9

44/9  >>

9*4 = 36

44-36 = 8

4  8/9

Answer: 4  8/9

<span>(Nice handwriting! I love it!! :) ) </span>
4 0
4 years ago
Read 2 more answers
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