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3 years ago

I don't quite understand this one!

Mathematics

2 answers:

nydimaria [60]3 years ago

6 0

Answer:

City X: -31 F --> -35 C

City Y: -45 C --> -49 F

City Z: -40 C --> -40 F

City Y is the coldest.

GaryK [48]3 years ago

6 0

Answer:

city x is: -35 C

city y is: - 49 F

city z is: - 40 F

City y is coldest

Step-by-step explanation:

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

Can anyone please help with these 2 questions. If you can, please show step-by-step.

valentinak56 [21]

Answer:

1. x = 21

2. m∡ABC = 51°

Step-by-step explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°

8 0

3 years ago

Read 2 more answers

Write 1.59 correct to I decimal place<br> Write 1.58 correct to 1 decimal place

ipn [44]

Answer:

1.6 , 1.6

Step-by-step explanation:

Rounding 1.59 to 1 decimal place, it will be 1.6

1.58, rounded to 1 decimal place is 1.6

7 0

3 years ago

Read 2 more answers

Fill in the table below

pickupchik [31]

Answer:

60_1hrs

30min-?

30 min-1 1/2

5 0

3 years ago

7. Give the x-intercept and y-intercept of the graph and three more solutions

Sveta_85 [38]

Answer:

can you please show the graph and problems I would love to help

7 0

3 years ago