Write a quadratic function f whose zeros are 4 and 3 .

Mathematics

1 answer:

Pani-rosa [81]3 years ago

5 0

F(x) = (x-4)(x-3)

if you put x=4, it makes f(x) 0. if you put x=3 it makes f(x) 0

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⛔️⚠️‼️GEOMETRY TRIG please help‼️⚠️⛔️

expeople1 [14]

Answer:

$\huge\boxed{\sf x = 16.3}$

Step-by-step explanation:

Firstly we've to find the hypotenuse of the first triangle:

<u>In the first triangle, for the angle 45: </u>

Adjacent = 10

Hypotenuse = ?

Using cos for it.

Cos 45 = adjacent / hypotenuse

0.707 = 10 / hyp

hyp = 10 / 0.707

hyp = 14.14

The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.

Also, hypotenuse = x and angle is 60 degrees.

<u>So, we will use the sin ratio.</u>

sin 60 = opposite / hypotenuse

0.866 = 14.14 / x

x = 14.14 / 0.866

x = 16.3

$\rule[225]{225}{2}$

Hope this helped!

3 0

2 years ago

In a linear equation relating income and consumption, you know that the intercept is $1,000 and the slope of the line is 4. if i

Amiraneli [1.4K]

A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:

y = 4x + 1000

assuming y is the income and x is the consumption.

At an income (y) equal to $20,000, we can calculate for the consumption.

20000 = 4x + 1000
19000 = 4x
x = 4750

3 0

3 years ago

Solve for x.<br> x + 8 = 12

VashaNatasha [74]

Answer:

Step-by-step explanation:

move constant to the right and change the sign

X=12-8

X=4

4 0

3 years ago

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