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3 years ago

Factor completely 5x2 − 5x − 100.

1 answer:

4 0

First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)

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In an automobile parts factory, for every 175 carburetors 3 are found to be defective. At that rate how many carbureatots out of

Furkat [3]

Answer:

At the same rate 18 carburetors out of 1,050 could be expected to be detective.

Step-by-step explanation:

The number of carburetors tested = 175

Defective pieces out o f 175 = 3

So, ratio of defected to tested = 3 : 175

Now, the number of carburetors tested in second batch = 1,050

Here, let the defective pieces = m

So, by the Ratio of Proportion,

$\frac{3}{175} = \frac{m}{1050}$

or, $m = \frac{1050 \times 3}{175} = 18$

⇒ m = 18

Hence, at the same rate 18 carburetors out of 1,050 could be expected to be detective.

8 0

3 years ago

Let f(x)=x^2-5x-36.

Georgia [21]

Answer:

9 and -4

Step-by-step explanation:

Find two numbers that multiply to be -36 and add to be -5.

That is -9 and 4.

So the factored form of x^2-5x-36 is (x-9)(x+4)

So the x-intercepts are 9 and -4

8 0

2 years ago

Is -55 a natural number, whole number, integers, or irrational numbers

Rainbow [258]

-55 is an integer.
It is not a whole number because it is negative.
It is not a natural number because it is not a whole number.
It is not irrational because it can be written as a fraction $-\frac{55}{1}$ .

7 0

3 years ago

PLEASE HELP ME ON THIS!!

Ganezh [65]

Answer:

-6

Step-by-step explanation:

This means what value can I plug into -3x-8 so that I get output 10.

g(x)=-3x-8

g(a)=-3a-8

So we are going to solve g(a)=10 for a.

g(a)=10

-3a-8=10

Add 8 on both sides:

-3a =18

Divide both sides by -3:

a =-6

Check it!

g(-6)=-3(-6)-8=18-8=10 and it's good! :)

3 0

2 years ago

What's the quadratic equation?

erma4kov [3.2K]

The standard form of the quadratic equation is ax^2 + bx + c. In vertex form, it's y = a(x – h)2 + k.
The graph of a quadratic equation is a parabola, which looks like a u. If <em>a</em> is negative then it's an upside down u.

6 0

3 years ago

Read 2 more answers