what is the y-intercept of the quadratic function f(x) = (x-6)(x-2)

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]

[tex]\frac{6}{h}=\frac{9}{32}[/tex]

h = [tex]\frac{6\times 32}{9}[/tex]

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

Answer:

where is the unknow value

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

i got it right on khan academy

Answer:

1/16

Step-by-step explanation:

Got It on Khan academy

Answer:

3915 cubic inches

Step-by-step explanation:

Let's individually find the volume of both, and then combine them. For the triangle, we know that the length of the triangular base is 7 inches, the height is 10 inches, and the length of the prism is 29 inches. Therefore, the area of the triangular prism is 7*10*29/2=1015 cubic inches. For the rectangular prism, you simply need to multiply all of the dimensions together, getting 10*10*29=2900 cubic inches. Adding these together, you get a total of 3915 cubic inches. Hope this helps!

Answer:

A rectangle that has the same volume can be the opposite of  that.

Step-by-step explanation:

The length = 4

the width = 20

the height = 6

Hope this helps,

v= l ×w×h

ヾ(・ω・`)ノ

No, the surface areas are not the same.

Answer: 90

Step-by-step explanation: mAB =180° as it is a straight angle

x=180-120= 60°

so,The number should be less than 180 but more than 60, be divisible by 30 and be a 2 digit no.

nos. divisible by 30 between 60 and 180 are 90,120 and 150

But there is only one of these that are 2 digit i. e. 90

Therefore, the no. is 90

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:) (^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

4 / 15

Step-by-step explanation:

The total number of ways 2 students can be picked is 15 * 14 = 210 because you have 15 students to begin with and after you pick one, you're left with 14 more to choose from.

The total number of ways a senior and a junior can be picked is 8 * 7 = 56 because there are 8 seniors and 7 juniors.

The probability will then be 56 / 210 = 4 / 15. Hope this helps!

Answer:

s

Step-by-step explanation:

s

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

50

Step-by-step explanation:

angles on a straight line add up to 180 degrees

Answer:

50

Step-by-step explanation:

Take

65 x 2 = 130

180 - 130 (because of the angle of the base) = 50 degrees

so angle C is 50 degrees

Answer: peppers

Step-by-step explanation:

Peppers cost the greatest amount per pound

$1.62 (peppers) > $1.51 (turnips) > $1.48 (celery) > $1.26 (carrots)

Answer:

pepper for 1.62 per pound

Answer:

* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,

u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

u = 5, and y = - 100

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i

* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

A equation in form of [tex]ax^{2} +bx+c=0[/tex] is known as quadratic equation.

Solutions of given equations are [tex]x=\pm\sqrt{5}[/tex] and [tex]x=\pm10i[/tex]

Given equation are, [tex]x^{4} +95x^{2} -500=0[/tex]

Substitute [tex]x^{2} =m[/tex] in above equations. So, equation become

                    [tex]m^{2}+95m-500=0\\\\m^{2}+100m-5m-500=0\\\\m(m+100)-5(m+100)=0\\\\(m-5)(m+100)=0\\\\m=5,m=-100[/tex]

So, [tex]x^{2} =5,x=\pm\sqrt{5}[/tex]

     [tex]x^{2} =-100,x=\pm10i[/tex]

Learn more:

https://brainly.com/question/1214333

Answer: 77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me my frnd...

Answer:

The selling price of the painting would be $63.00

Step-by-step explanation:

discount amount = x

original price = $210

discount % = 70%

Formula: discount amount/original price = discount%/100%

x/210 = 70/100

x · 100 = 70 · 210

100x = 14,700

100x/100 = 14,700/100

x = $147.00

Formula:

Sale price = original price - discount = final answer

Sale price = $210 - $147 = $63.00

Answer:

Step-by-step explanation:

The event is a red car vehicle. So, the experimental probability would be the ratio between the total number of red car vehicles and the total number of cars.

Notice that there are 22 red vehicles in total, and there are 100 cars in total. So, the ratio is

[tex]P=\frac{22}{100} = \frac{11}{50} = 0.22[/tex]

Therefore, there are 22% of chances that the next vehicle in the lot is a red car.

Answer:

.278

Step-by-step explanation:

There are 9 coins

P (nickel) = number of nickels/ total

                = 5/9

Keeping the coin

We now have 8 coins, 4 nickels and 4 dimes

P (nickel) = number of nickels/ total

                = 4/8 = 1/2

P(nickel, keep, nickel) = 5/9* 1/2 = 5/18=.2777777777

Answer:

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

-48+12=-36

Answer: -36

Step-by-step explanation: −48−(−12)

=−48−(−12)

=−48+12

=−36

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

Answer:

B-175cm 3

Step-by-step explanation:

L × W × H

7 × 5 × 5

The 7 comes from the area of the top rectangle which is 35 = 7×5.

Answer:

[tex]\sum_{k=0}^{n}2k+1[/tex]

Step-by-step explanation:

Let's take a look at how much is added from one term to the next and see if we can recognize a pattern!

If we start by listing the first number in sequence, 1, we get the familiar list:

1, 3, 5, 7, 9, 11

Of course, this is simply the list of the first six odd numbers. To get the first term, we add the first 1 odd number, to get the second, we add first 2 (1 +3), to get the third, we add the first 3 (1 + 3 + 5), and so on. How do we shorten these sums so we're not writing out dozens of terms as the sequence goes on?

For situations where we're adding up a lot of numbers that follow a predictable pattern, mathematicians came up with something called summation notation, or sigma notation, coming from the Greek S, Σ, short for "sum". Here's a simple example of a sum expressed in sigma notation:

[tex]\sum_{n=1}^{4}n=1+2+3+4[/tex]

Let's break this down. n acts as our counter. [tex]\sum_{n=1}[/tex] sets it to start counting at 1, and tells us to stop counting at n = 4. The [tex]\sum n[/tex] bit tells us what pattern we'll be following, in this case, each step of the way we'll be adding the value of the counter.

So how do we express the sum 1 + 3 + 5 + ... in sigma notation? First, we need an expression that describes the pattern algebraically. Ever odd number is 1 away from an even number, so we can either describe our list with the expression [tex]2k+1[/tex] (if we start at k = 0), or [tex]2k-1[/tex] (if we start at k = 1). I'll choose [tex]2k+1[/tex] for this problem.

We want to start counting at k = 0 , and we can choose whatever we want for our stopping point. Let's call that stopping point n, for the nth term in the series. In sigma notation, we can now write this series in the form

[tex]\sum_{k=0}^{n}2k+1[/tex]

Let's test it out for the first few values to see if it works!

Checks out!

To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:

[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]

Terms:

From this, we can get a pattern that each term is the square of the index, and the notation is:

[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]

A similar question is found at: https://brainly.com/question/16543477

Answer:

(25%)

Step-by-step explanation:

12√4=3√1=3=25%

Answer:

r=3.25

Step-by-step explanation:

Answer:

r = 3.25

Step-by-step explanation:

Solve for r:

0.5 (r + 2.75) = 3

Multiply both sides of 0.5 (r + 2.75) = 3 by 2:

2×0.5 (r + 2.75) = 2×3

2×0.5 = 1:

1 (r + 2.75) = 2×3

2×3 = 6:

1 (r + 2.75) = 6

Multiply both sides of 1 (r + 2.75) = 6 by 1:

1×1 (r + 2.75) = 1×6

1×1 = 1^2:

1^2 (r + 2.75) = 1×6

1^2 = 1:

1 (r + 2.75) = 1×6

1×6 = 6:

r + 2.75 = 6

Subtract 2.75` from both sides:

r + (2.75 - 2.75) = 6 - 2.75

2.75 - 2.75 = 0:

r = 6 - 2.75

6 - 2.75 = 3.25:

Answer: r = 3.25

Answer:

5 or above round up 4 or below round down

15.5

The numbers after the rounded digit becomes zeroes

Hope this helps

Step-by-step explanation:

Answer:

15.5 hope this helps

:)

Step-by-step explanation:

Answer:

1.775 pints of white paint

Step-by-step explanation:

1) Find out how much blue paint was used

In order to do that, we must figure out what is three-fourths of 7.4...

[tex]7.4(\frac{3}{4} ) = 5.625[/tex]

That means that Sasha used 5.625 pints of blue paint.

2) Find out how much white paint was used

In order to do that, we must subtract the amount of blue paint (5.625) from the total amount of paint (7.4)...

7.4 - 5.625 = 1.775

That means that Sasha used 1.775 pints of white paint.

I hope this helps!

Answer:

1.775 white paint would be the answer

Answer:

its just 'r'

Step-by-step explanation:

hope this helps

Answer:

Radius symbol in mathematics =r

Step-by-step explanation:

Other symbols are

π                                      Pi

d                                        Diameter

C                                     Circumference

Answer:

2

Step-by-step explanation:

The slope of the line is basically the gradient so I used the formula

(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

                  z = -165

Step-by-step explanation:

            z

Simplify   ——

           11

 z    

 —— -  -15  = 0  

 11    

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

          -15     -15 • 11

   -15 =  ———  =  ————————

           1         11  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

z - (-15 • 11)     z + 165

——————————————  =  ———————

      11             11    

Equation at the end of step  2  :

 z + 165

 ———————  = 0  

   11    

Step  3  :

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 z+165

 ————— • 11 = 0 • 11

  11  

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  z+165  = 0

Solving a Single Variable Equation :

3.2      Solve  :    z+165 = 0  

Subtract  165  from both sides of the equation :  

                     z = -165

One solution was found :

                  z = -165