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3 years ago

Factor completely −5x2 + 10x − 25.

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

5(2x-7)

Hope this helps !

Have a great day!

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Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

Don opened a checking account. Let F represent the

Law Incorporation [45]

Answer:

B and E

Step-by-step explanation:

In the function f(m)= -50m+300

-50 is the gradient meaning it is the rate of change per month. This means that the rate of change is -50 since this is the coefficient of m.

Also, -50m must be negative since m represents a month and you cant have negative months, so you know that the amount of money is decreasing

6 0

3 years ago

The number of students in a school increased by 25%between last year and this year. Last year there were 250 students in the sch

alexandr1967 [171]

I think it's 275 sorry if I'm wrong

5 0

3 years ago

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Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What w

ZanzabumX [31]

Answer:

360 mi/h

Step-by-step explanation:

The speed for the outbound trip was ...

speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h

The inbound speed was ...

(715 mi)/(1 5/6 h) = 390 mi/h

The airspeed of the plane is the average of these two ground speeds, so is ...

(330 +390)/2 = 360 . . . . mi/h

8 0

3 years ago

−3x − 8y = 20 −5x + y = 19 solved by substitution

beks73 [17]

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = $\frac{-212}{3}$

y = 24

Step-by-step explanation:

-3x - 8y = 20 .... (1)

-5x + y = 19 .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = $\frac{-212}{3}$

7 0

3 years ago

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