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4 years ago

How can you tell a situation is exponential from a graph

Mathematics

1 answer:

igor_vitrenko [27]4 years ago

6 0

Answer: You are usually multiplying

Step-by-step explanation: The graph usually curves and not straight.

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6x^2-9x +2=0 solve the quadratic equation using the quadratic formula

balu736 [363]

ANSWER:

The roots of $6 x^{2}-9 x+2=0$ are $\frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}$

SOLUTION:

Given, quadratic equation is $6 x^{2}-9 x+2=0$ --- eqn (1)

We need to find the roots of given quadratic equation using quadratic formula.

Quadratic formula for general quadratic equation $a x^{2}+b x+c=0$ is $X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for eqn (1) a = 6, b= -9 and c = 2

$X=\frac{-(-9) \pm \sqrt{(-9)^{2}-4 \times6 \times 2}}{2 x 2}$

$X=\frac{9 \pm \sqrt{81-48}}{4}$

$\begin{array}{l}{X=\frac{9 \pm \sqrt{33}}{4}} \\ {X=\frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}}\end{array}$

Hence the roots of $6 x^{2}-9 x+2=0$ are $\frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}$

6 0

3 years ago

If ADAB ACBA, ZD = 132° and ZC = x + 18

d1i1m1o1n [39]

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent then corresponding angles are congruent, then

∠ C = ∠ D , that is

x + 18 = 132 ( subtract 18 from both sides )

x = 114

8 0

2 years ago

Find the solutions to the equation below. Check all that apply. 4x2 - 4x - 3 = 0

olga55 [171]

Answer:

4×^2-4×-3=0factor(2×+1)

(2×-3)=0 2×+1=0 2+-3=0 2×=-1

2×=3 ×=-1/2 ×=3/2

×=1/2, 3/2

8 0

3 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Convert 9 1/2 into fractional notation.

raketka [301]

(9 * 2) + 1 = 18 + 1 = 19/2 is it's fractional notation/mixed number.

3 0

3 years ago