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3 years ago

What two numbers multiply to 1/4 and add to -1?

Mathematics

1 answer:

Dominik [7]3 years ago

5 0

Answer:Are there any options?

Step-by-step explanation:

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seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d

guajiro [1.7K]

So if x people were surveyed, $\frac{7}{8}$ people owned a bike and $\frac{1}{8}$ did not.

The difference between them is 72:
$\frac{7}{8}$ x-\frac{1}{8} [/tex] =72
so this means that
$\frac{6}{8}$ x=72

let's simplify:

$\frac{3}{4}$ x=72

and divide by 3:

$\frac{1}{4}$ x=24

and mupliply by 4:

x=96

so 96 people were surveyed

5 0

3 years ago

4 more than one third of a number n is 6. An equation is? The solution is n =?

harkovskaia [24]

Answer:

$\frac{1}{3}$ n + 4 = 6

Step-by-step explanation:

Given problem:

4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number = ?

Solution:

let the number = n

So, 4 more than one third of a number;

One third of n = $\frac{1}{3}$ n

4 more;

$\frac{1}{3}$ n + 4

is 6;

$\frac{1}{3}$ n + 4 = 6 (equation of the expression)

Let us now solve the equation:

$\frac{1}{3}$ n + 4 = 6

$\frac{1}{3}$ n = 6 - 4

$\frac{1}{3}$ n = 2

n = 6

5 0

3 years ago

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0

3 years ago

If f(x) = 3x2 + 2 and g(x) = x2 – 9, find (f – g)(x).

hoa [83]

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 + 2 and g(x) = x^2 – 9

(f – g)(x) = 3x^2 + 2 -( x^2 – 9)

Distribute the minus sign

3x^2 + 2 - x^2 + 9

Combine like terms

2x^2 +11

8 0

3 years ago

Which is the rate of change for the interval between -6<br> and-3 on the x-axis?

Alex_Xolod [135]

Answer: it is (-2) because rise over run

4 0

3 years ago

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