2. Find the measure of eº.

Answer:

is it 2/5 I could be wrong

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

Answer:

Step-by-step explanation:

Answer:

12.496

Step-by-step explanation:

a=10 (first term)

r= 1/5 (common ratio)

sum of first five terms

[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]

=10{1-⅕⁵} ÷ 1-⅕

=10{1 - 1/3125} ÷ 4/5

=10{3124/3125} ÷ 4/5

=9.9968÷0.8

=12.496.

OR

a+ar+ar²+ar³+ar⁴

=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)

=10+2+0.4+0.08+0.016

=12+0.48+0.016

=12.496

Answer:

4%

Step-by-step explanation:

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

                    = 3.93 = 4%

Answer:

∠9 and ∠12

Step-by-step explanation:

Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.

Hope this helped.

(Also sorry!)

Answer:

Percentage error in the student measurement = 2%

Step-by-step explanation:

Percentage error = (change in length) / actual length × 100

Approximate length =294 feet

Actual length = 300 feet

Percentage error = (change in length) / actual length × 100

= (300 feet - 294 feet) / 300 feet × 100

= 6/300 × 100

= 0.02 × 100

= 2%

Percentage error in the student measurement = 2%

Answer:

The answer is 100:40:50

Answer:

131 plums

Step-by-step explanation:

The fraction of plums = 10/(10+4.5)

= 10/14.5

= 100/145

So the required number of plums = 100 * 190 /145

= 131.

Answer:

y = 4/5x - 18/5

Step-by-step explanation:

y = mx + b

m = 4/5

(2, -2)

-2 = 8/5 + b

b = -10/5 - 8/5 = -18/5

y = 4/5x - 18/5

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6

A and B

I hoped it helped you

Answer:

(х + 1)(х - 2)

Step-by-step explanation:

х²-х-2=(х + 1)(х - 2)

To find the indicated angle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.

cos(x) = 12/36

x = cos^-1(12/36)

x = 71 degrees

Hope this helps!

Answer:

[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

[tex]y-k=a(x-h)^2[/tex]

Substitute the values

[tex]y-(-2)=a(x-(-3))^2=a(x+3)^2[/tex]

[tex]y+2=a(x+3)^2[/tex]

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

[tex]0+2=a(-1+3)^2=4a[/tex]

[tex]a=2/4=1/2[/tex]

Now, using the value of a

[tex]y+2=1/2(x+3)^2=1/2(x^2+6x+9)[/tex]

[tex]y+2=\frac{1}{2}x^2+3x+\frac{9}{2}[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{9}{2}-2[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{9-4}{2}[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{5}{2}[/tex]

By comparing with

[tex]y=ax^2+bx+c[/tex]

We get

[tex]a=\frac{1}{2}, b=3, c=5/2[/tex]

[tex]a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}[/tex]

[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]

Answer:

= 4/15

Step-by-step explanation:

=4 . 2/5  /6

= 4/15

Answer:

0.26

Step-by-step explanation:

4 (2/5) /6

2/5 = 0.4

4 × 0.4 = 1.6

1.6 / 6 = 0.26

The answer is 0.26

Answer:

f+g = 11x-8

f*g = 28x^2 - 47x+15

Step-by-step explanation:

f(x) = 4x - 5 and g(x) = 7x -3

(f+g)(x) = 4x - 5  + 7x -3

Combine like terms

         = 4x+7x -5-3

        = 11x-8

(f * g) (x) = ( 4x - 5) (7x -3)

FOIL

          = 4x*7x + 4x(-3) + (-5)(7x) + (-5)(-3)

            =28x^2 -12x-35x+15

Combine like terms

            =28x^2 - 47x+15

Step-by-step explanation:

Step 1:  Find (f + g)(x)

The definition of (f + g)(x) is f(x) + g(x).  Basically add the two functions together.  

[tex]f(x) + g(x)[/tex]

[tex](4x - 5) + (7x - 3)[/tex]

[tex]11x - 8[/tex]

Answer:  [tex]11x - 8[/tex]

Step 2:  Find (f * g)(x)

The definition of (f * g)(x) is f(x) * g(x).  Basically multiply the two functions together.  

[tex]f(x) * g(x)[/tex]

[tex](4x - 5) * (7x - 3)[/tex]

[tex](4x * 7x) + (4x * -3) + (-5 * 7x) + (-5 * -3)[/tex]

[tex](28x^{2}) + (-12x) + (-35x) + (15)[/tex]

[tex]28x^{2} - 47x + 15[/tex]

Answer:  [tex]28x^{2} - 47x + 15[/tex]

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

To learn more on simplification click:

brainly.com/question/28996879

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Answer:

D

Step-by-step explanation:

(4x)²=x+15

Answer:

(-6, 0) and  (0, 1.5)

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 =  1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

Hence the required points to plot to get the required line are  (-6, 0) and  (0, 1.5)

Step-by-step explanation:

perpendicular bisector

AB= 17

Answer:

16%

Step-by-step explanation:

Use the percentage formula:

P × V1 = V2

Example:

EX: P × 30 = 1.5

P =  

1.5

30

= 0.05 × 100 = 5%

Answer:

2cm

Step-by-step explanation:

The volume of water displaced by the rod is

v = πr^2 h = π * 3^2 * 8 = 72π cm^3

The drop in water level is the rod volume divided by the cross-section area of the tin, or

72π/(π*6^2) = 2 cm

Answer:

A

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

X - 8 = 12

+ 8 +8

X = 20

20 gallons were in the tub to start with

Step-by-step explanation:

sqrt(x+4)

the answer is in the image above

Answer:

6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we use Euclidian theorem to find n

n^2 = 6*18

n^2 = 108

n = 6[tex]\sqrt{3}[/tex]

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]

We have to find the term in this expression  which contains an error.

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]=4x^3+6x^2+18x+60[/tex]

[tex]Dividend=Divisor\times quotient+ remainder[/tex]

Using the formula

[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

here's the answer to your question