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3 years ago

Which of the following is a quadratic function?

Mathematics

1 answer:

rewona [7]3 years ago

4 0

the function of quadratic is number4

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The graph shows the function f(x).

Thepotemich [5.8K]

Answer:

3/2

Step-by-step explanation:

To find the rate of change

f(x2) - f(x1)

------------------ = rate of change

x2-x1

Looking at the graph

f(15) = 12

f(9) = 3

Substituting this into the equation

12-3

---------

15-9

------

3/2

The rate of change is 3/2

5 0

3 years ago

If 5(3x-1)=55 what is the value of 2x-2

cricket20 [7]

Hey ! there

Answer:

Value of 2x - 2 is 6 .

Step-by-step explanation:

In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .

Firstly , we need to find the value of x . So we need to solve the equation .

SOLUTION : -

$\quad \longmapsto \qquad \: 5(3x - 1) = 55$

Step 1 : Dividing with 5 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }$

On cancelling , We get :

$\quad \longmapsto \qquad \:3x - 1 = 11$

Step 2 : Adding 1 on both sides :

$\quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1$

On simplifying , We get :

$\quad \longmapsto \qquad \:3x = 12$

Step 3 : Dividing with 3 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }$

We get ,

$\quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}$

→ Therefore , value of x is 4 .

Verifying : -

Now we are verifying whether our answer is wrong or right . So ,

5 ( 3x - 1 ) = 55

5 { 3( 4 ) - 1 } = 55

5 ( 12 - 1 ) = 55

5 ( 11 ) = 55

L.H.S = R.H.S

Hence , Verified .

Therefore , our value of x is correct/valid .

We need to find the value of 2x - 2 . 

 $\quad \longmapsto \qquad \:2x - 2$ 

So substituting value of x in it :

 $\quad \longmapsto \qquad \:2( \bold{4}) - 2$ 

Multiplying 2 with 4 : 

 $\quad \longmapsto \qquad \:8 - 2$ 

Subtracting 2 from 8 :

$\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar$

Henceforth, value of 2x - 2 is ❝ 6 ❞.

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

the answer is the option

$(3x-5)(x-1)$

6 0

3 years ago

Read 2 more answers

BRAINLIEST ASAP! PLEASE HELP ME :)

Margaret [11]

Answer:

$\large \boxed{\text{3.0 mi/h}}$

Step-by-step explanation:

Let x = the current of the river

Then 21 + x = the speed going downstream (with the current)

a nd 21 - x = the speed going upstream (against the current)

Distance = speed × time

d = st

t = d/s

Time going downstream = time going upstream

$\begin{array}{rcll}\dfrac{2.4}{21+ x}& = & \dfrac{1.8}{21 - x} &\\\\2.4& = &(21 + x) \dfrac{1.8}{21 - x} &\text{Multiplied each side by (21 + x)}\\\\2.4(21 - x)& = & 1.8(21 + x) &\text{Multiplied each side by (21 - x)}\\50.4 - 2.4x&=& 37.8 + 1.8x&\text{Removed parentheses}\\50.4 & = & 37.8 + 4.2x & \text{Added 2.4x to each side}\\\end{array}\\$

$\begin{array}{rcll}12.6 & = & 4.2x & \text{Subtracted 37.8 from each side}\\x & = &\dfrac{12.6}{4.2}&\text{Divided each side by 4.2}\\\\ & = &\mathbf{3.0}& \text{Simplified}\\\\\end{array}\\\text{The current is $\large \boxed{\textbf{3.0 mi/h}}$}$

Check:

$\begin{array}{rcl}\dfrac{2.4}{21+ 3}& = & \dfrac{1.8}{21 - 3}\\\\\dfrac{2.4}{24}& = & \dfrac{1.8}{18}\\\\0.10 & = & 0.10\\\end{array}$

4 0

3 years ago

On commencing employment a man is paid a salary of $7200 per annum and receives annual increments of $350. Determine his salary

Marina CMI [18]

Answer:

Step-by-step explanation:

From the question, we can form an equation like: S = 7200 + 350X

where S is the salary and X is year.

1. His salary in the 9th year, means X=9, so we substitute 9 into the equation to find S = 7200 +350 (9) = 10350

2. The total he will have in the first 12years, we have:

Sum of first n terms of an AP: S =(n/2)[2a + (n- 1)d] where a is the value of the 1st term, here a is 7200 and d = 350 the common difference between terms

=> S = (12/2)[2*7200 + (12- 1)350] = 109500

8 0

3 years ago