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2 years ago

On Thursday, the high temperature was 60 degrees Fahrenheit. On Friday, the high was 72 degrees Fahrenheit

Mathematics

1 answer:

disa [49]2 years ago

3 0

Answer: 120 percent increase

Step-by-step explanation:

72/60 = 1.2

1.2 times is also 120 percent

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The sum of two even numbers is even. the sum of 6 and another number is even. what conjecture can you make about the other numbe

Basile [38]

We can say that the other number is even or it is 0.

6 0

2 years ago

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, we can notice that 1 is a trivial solution as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Help please problem is worded weird

Vadim26 [7]

Answer:100

Step-by-step explanation:

Expand

x = 150 - 0.5x

Add 0.5x to both sides

x + 0.5x = 150

Simplify x + 0.5x to 1.5x

1.5x = 150

Divide both sides by 1.5

x = 150/1.5

Simplify 150/1.5 to 100

x = 100

5 0

3 years ago

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A circle has a radius of three. An arc in the circle has essential angle of 20°. What is the length of the arc

Nataliya [291]

Answer:

1.048

Step-by-step explanation:

$(thiter \div 360) \times \pi \times diameter$

$(20 \div 360) \times \pi \times 6$
After calculating the answer is 1.048

6 0

3 years ago

Multiply and simplify (x +1)3 x (x+1)4

Anna71 [15]

Answer:

12x^2+24x+12

Step-by-step explanation:

(3x+3) * (4x+4)

12x^2+24x+12

6 0

3 years ago

Read 2 more answers