In a group of 33 pupils, 9 play the flute only.
8 play the piano only.
11 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?

Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

Answer:

the answer is 10 the power of one or 10

Step-by-step explanation:

A is correct option there are no real roots

because discriminant is less than zero

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]

Step-by-step explanation:

there is answer in the image above

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

The hypotenuse is 10 ft

Answer:

the answer is 10 but you can ask your friends too

Step-by-step explanation:

h=p2+b2

root under 8 square +6 sqaure

root under 64±36

root Under 100

equals 10

i uses to learn like this but I'm not sure

Answer:

Step-by-step explanation:

23). By applying triangle sum theorem in the given triangle,

    (x + 83)° + (x + 48)° + 65° = 180°

    2x + 196 = 180

    2x = -16

    x = -8

    Measure of angle A = x + 48

                                      = -8 + 48

                                      = 40°

     Therefore, Option A is the answer.

24). By triangle sum theorem,

     (3x + 14)° + 90° + (4 + 3x)° = 180°

     6x + 108 = 180

     6x = 72

     x = 12

     Measure of angle A = (4 + 3x)

                                       = 4 + 3(12)

                                       = 40°

     Therefore, Option A is the answer.

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

Answer:

D

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then

[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )

[tex]\frac{2}{3}[/tex] = k

y = [tex]\frac{2}{3}[/tex] xz ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

For any number to be divisible by 2 the last digit in the number has to be an even number or the number 0.

A and B end with an odd number so cannot be divided by 2.

C ends with 0 so can be divided by 2

The answer is C. 940

Answer:

Step-by-step explanation:

27 degrees

Answer: UHHHHH i shall halp ya

Step-by-step explanation:

if its 133 in ounces its 293.215 in pounds

Answer: 8 pounds and 5 ounces

Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.

Answer:

C. 65

Step-by-step explanation:

Y and Z are the same angles so they would have the same measurement.

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

Step-by-step explanation:

am-an+bm-bn

m(a+b)-n(a+b)

(m-n)(a-b)

Answer:

[tex] \small \sf \: ( m - n ) ( a + b )[/tex]

Step-by-step explanation:

( am - an + bm - bn)

= ( am - an ) + ( bm - bn )

= a ( m - n ) + b ( m - n )

= ( m - n ) ( a + b )

Answer:

80

Step-by-step explanation:

......................................

Answer:

$1020

Step-by-step explanation:

660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).

Answer:

5/y^3

Step-by-step explanation:

Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

Answer:

girth is better than length. your welcum ;)

I hope this is help full to u

thank you

Answer:

x = 3.8

Step-by-step explanation:

take 53 degree as reference angle

using cos rule

cos 53 = adjacent/hypotenuse

0.60 = x /6.3

0.60*6.3 = x

3.78 = x

3.8 = x ( after converting the answer to nearest tenth)

Answer:

∡ c = 118°

Step-by-step explanation:

angle c is 118 degree (being vertically opposite angle)

∡ c = 118°

Answer:

118

Step-by-step explanation:

there is a property that i can't remember the name of that is dealing with angles across a flat line.

another way, is that 118+D=180, so D is 62

so that means D + C = 180, where D is 62 so C must be 118

Answer:

338

Step-by-step explanation:

X - 115  = 223

Add 115 to both the sides

X - 115 + 115 = 223 + 115

x = 338

Answer:

338

Step-by-step explanation:

x - 115 =223

Collect terms

x = 223 + 115

x = 338

Hope this helps you!

pls mark as brainlest ans

Bye!

Answer:

f(g(4)) = 213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]

Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

Now substitute the functional value,

.°. The value of f(g(4)) is 213.