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3 years ago

Consider the quadratic function f(x)=-2x2+5x-4 the leading coefficient of the function is

Mathematics

2 answers:

nikdorinn [45]3 years ago

8 0

Answer:

-2

Step-by-step explanation:

vaieri [72.5K]3 years ago

3 0

Answer: -2

explanation: I just took the test

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Lincoln had two books in his backpack one book had a mass of 3 lbs. 7 oz. and the other book had a mass of 2 lbs. 10 oz. what wa

Naya [18.7K]

I think d just look
3.7+2.10

6 0

3 years ago

Plz helppppp will add u as friend

elixir [45]

Answer:

$y=1.44$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define

$\frac{4.5}{y} =\frac{12.5}{4}$

Step 2: Solve for y

Cross-multiply: $4(4.5) = 12.5y$
Multiply: $18 = 12.5y$
Isolate y: $1.44 = y$
Rewrite: $y=1.44$

Step 3: Check

Plug in y to verify it's a solution.

Substitute: $\frac{4.5}{1.44} =\frac{12.5}{4}$
Divide: $3.125=3.125$

Here, we see that 3.125 does indeed equal 3.125. ∴ y = 1.44 is a solution of the equation.

5 0

3 years ago

Read 2 more answers

Show that cos(3theta) = 4cos3(theta) − 3cos (theta).

Delvig [45]

Step-by-step explanation:

To prove:

$\cos 3\theta=3\cos^3 \theta-3\sin^2 \theta\cos \theta$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

$\sin^2A+\cos^2A=1$ .......(4)

Taking the LHS:

$\Rightarrow \cos 3\theta=\cos (\theta +2\theta )$

Using identity 1:

$\Rightarrow \cos (\theta +2\theta )=\cos \theta \cos 2\theta-\sin \theta \sin 2\theta$

Using identities 2 and 3:

$\Rightarrow \cos \theta (\cos ^2\theta-\sin^2 \theta )-\sin \theta (2\sin \theta \cos \theta )\\\\\Rightarrow \cos^3\theta -\sin^2\theta \cos \theta -2\sin^2 \theta \cos \theta \\\\\Rightarrow \cos^3\theta -3\sin^2\theta \cos \theta$

Using identity 4:

$\Rightarrow \cos^3\theta -3(1-\cos^2\theta) \cos \theta\\\\\Rightarrow \cos^3\theta-3\cos \theta+3\cos^3\theta\\\\\Rightarrow 4\cos^3\theta -3\cos \theta$

As, LHS = RHS

Hence proved

5 0

3 years ago

Given the function defined in the table below, find the average rate of change, in

kvv77 [185]

Step-by-step explanation:

the average rate of change is the change of the functional values over a given interval relative to (= divided by) the interval length (the change of the input variable in that interval).

in short :

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit - interval lower limit)

upper limit = 8

lower limit = 0

the functional values (y) at these points are 36 and 12.

so, we get

(36 - 12) / (8 - 0) = 24 / 8 = 3

3/1

7 0

2 years ago

The price of a TV rose from $350 to $371 in one month. By what percent did the TV price rise?

lesantik [10]

6% increase

To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

If your answer is a negative number, then this is a percentage decrease.

4 0

3 years ago