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Komok [63]
3 years ago
14

Please Help.

Mathematics
1 answer:
ddd [48]3 years ago
7 0
Hi there!

So for #1:

-12>-36-8x
+36 to both sides of the inequality
24>-8x

Divide both sides by negative 8

Note: when you divide by a negative number, the inequality changes direction.

So you end up with -3-3

For the other two, you forgot to include y and t, so I can't help solve those yet.
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beks73 [17]

Step-by-step explanation:

I'm not sure about my answer

6 0
3 years ago
Estimate the sum to the nearest whole number <br><br> 29.1 +78.9 + 41.5
lesya692 [45]

I rounded each number to the nearest whole number and added those.

29 + 79 + 42 = 150

If you add the original numbers you would get 149.5, which rounds to 150.

6 0
3 years ago
Read 2 more answers
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Solve for k in g=k-a.​
Varvara68 [4.7K]

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

5 0
2 years ago
If my radius is 10 what is my circumference
Pavlova-9 [17]

Answer:

Radius, r = 10 cm

Radius, r = 10 cmWe know, Circumference = 2πr=2×π×10=20π cm

The circumference of the circle is

20π cm or about 62.8 cm.

Here's how I did it:

The formula for a circumference of a circle is 2πr , where r is the radius. We can plug our known value of the radius ( 10 cm) into the formula and solve.

2π 10=20π cm or about 62.8 cm.

Step-by-step explanation:

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.

Hope it is helpful....

6 0
3 years ago
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